0
0
999 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877, 902, 912, 914, 920, 937, 954, 959, 967, 969, 971, 973, 991])
999 deque([1002, 1026, 1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3
1
991 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877, 902, 912, 914, 920, 937, 954, 959, 967, 969, 971, 973])
1002 deque([1026, 1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
14
2
991 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877, 902, 912, 914, 920, 937, 954, 959, 967, 969, 971, 973])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 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32
3
973 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877, 902, 912, 914, 920, 937, 954, 959, 967, 969, 971])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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34
4
971 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877, 902, 912, 914, 920, 937, 954, 959, 967, 969])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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36
5
969 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877, 902, 912, 914, 920, 937, 954, 959, 967])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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38
6
967 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877, 902, 912, 914, 920, 937, 954, 959])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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46
7
959 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877, 902, 912, 914, 920, 937, 954])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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51
8
954 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877, 902, 912, 914, 920, 937])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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68
9
937 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877, 902, 912, 914, 920])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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85
10
920 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877, 902, 912, 914])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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91
11
914 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877, 902, 912])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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93
12
912 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877, 902])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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103
13
902 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864, 877])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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128
14
877 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863, 864])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
141
15
864 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862, 863])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 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7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
142
16
863 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852, 862])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
143
17
862 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851, 852])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
153
18
852 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848, 851])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 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6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
154
19
851 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847, 848])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 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7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
157
20
848 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842, 847])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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158
21
847 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836, 842])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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163
22
842 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829, 836])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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169
23
836 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824, 829])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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176
24
829 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820, 824])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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181
25
824 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818, 820])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 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7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
185
26
820 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805, 818])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
187
27
818 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802, 805])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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200
28
805 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777, 802])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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203
29
802 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775, 777])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
228
30
777 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774, 775])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
230
31
775 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769, 774])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 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6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
231
32
774 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765, 769])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
236
33
769 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750, 765])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
240
34
765 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742, 750])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
255
35
750 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739, 742])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 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7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
263
36
742 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729, 739])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
266
37
739 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724, 729])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
276
38
729 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714, 724])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
281
39
724 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704, 714])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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291
40
714 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697, 704])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
301
41
704 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678, 697])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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308
42
697 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668, 678])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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327
43
678 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667, 668])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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337
44
668 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666, 667])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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338
45
667 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655, 666])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
339
46
666 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651, 655])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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350
47
655 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649, 651])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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354
48
651 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622, 649])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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356
49
649 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614, 622])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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383
50
622 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610, 614])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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391
51
614 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607, 610])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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395
52
610 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589, 607])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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398
53
607 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584, 589])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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416
54
589 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575, 584])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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421
55
584 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570, 575])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
430
56
575 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545, 570])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
435
57
570 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538, 545])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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460
58
545 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527, 538])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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467
59
538 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520, 527])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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478
60
527 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493, 520])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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485
61
520 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491, 493])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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512
62
493 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469, 491])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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514
63
491 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463, 469])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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536
64
469 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460, 463])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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542
65
463 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405, 460])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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545
66
460 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402, 405])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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600
67
405 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400, 402])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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603
68
402 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372, 400])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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605
69
400 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366, 372])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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633
70
372 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365, 366])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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639
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366 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359, 365])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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640
72
365 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326, 359])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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646
73
359 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323, 326])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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679
74
326 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307, 323])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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682
75
323 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281, 307])
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307 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280, 281])
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724
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281 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260, 280])
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725
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280 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259, 260])
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745
79
260 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255, 259])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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746
80
259 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240, 255])
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750
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255 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181, 240])
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765
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240 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148, 181])
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824
83
181 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145, 148])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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857
84
148 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115, 145])
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860
85
145 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111, 115])
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890
86
115 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110, 111])
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894
87
111 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107, 110])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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895
88
110 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95, 107])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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898
89
107 deque([7, 8, 17, 29, 41, 56, 61, 70, 81, 95])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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910
90
95 deque([7, 8, 17, 29, 41, 56, 61, 70, 81])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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924
91
81 deque([7, 8, 17, 29, 41, 56, 61, 70])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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935
92
70 deque([7, 8, 17, 29, 41, 56, 61])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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944
93
61 deque([7, 8, 17, 29, 41, 56])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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949
94
56 deque([7, 8, 17, 29, 41])
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964
95
41 deque([7, 8, 17, 29])
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976
96
29 deque([7, 8, 17])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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988
97
17 deque([7, 8])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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997
98
8 deque([7])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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998
99
7 deque([])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2017
100
999999999 deque([])
1026 deque([1029, 1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 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4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 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9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2020
101
999999999 deque([])
1029 deque([1032, 1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 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9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2023
102
999999999 deque([])
1032 deque([1052, 1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 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9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2043
103
999999999 deque([])
1052 deque([1084, 1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 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9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2075
104
999999999 deque([])
1084 deque([1115, 1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 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2106
105
999999999 deque([])
1115 deque([1122, 1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 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4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 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9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2113
106
999999999 deque([])
1122 deque([1123, 1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 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7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2114
107
999999999 deque([])
1123 deque([1128, 1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 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9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2119
108
999999999 deque([])
1128 deque([1140, 1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 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7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2131
109
999999999 deque([])
1140 deque([1150, 1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 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4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2141
110
999999999 deque([])
1150 deque([1155, 1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2146
111
999999999 deque([])
1155 deque([1178, 1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 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9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2169
112
999999999 deque([])
1178 deque([1195, 1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 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9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2186
113
999999999 deque([])
1195 deque([1196, 1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 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2187
114
999999999 deque([])
1196 deque([1198, 1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 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4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2189
115
999999999 deque([])
1198 deque([1203, 1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2194
116
999999999 deque([])
1203 deque([1215, 1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 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4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2206
117
999999999 deque([])
1215 deque([1217, 1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2208
118
999999999 deque([])
1217 deque([1223, 1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2214
119
999999999 deque([])
1223 deque([1238, 1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2229
120
999999999 deque([])
1238 deque([1239, 1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2230
121
999999999 deque([])
1239 deque([1243, 1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2234
122
999999999 deque([])
1243 deque([1245, 1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2236
123
999999999 deque([])
1245 deque([1250, 1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2241
124
999999999 deque([])
1250 deque([1261, 1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2252
125
999999999 deque([])
1261 deque([1268, 1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 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9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2259
126
999999999 deque([])
1268 deque([1271, 1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 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9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2262
127
999999999 deque([])
1271 deque([1277, 1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 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6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2268
128
999999999 deque([])
1277 deque([1318, 1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 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2309
129
999999999 deque([])
1318 deque([1333, 1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2324
130
999999999 deque([])
1333 deque([1337, 1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 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4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2328
131
999999999 deque([])
1337 deque([1350, 1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2341
132
999999999 deque([])
1350 deque([1368, 1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2359
133
999999999 deque([])
1368 deque([1382, 1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2373
134
999999999 deque([])
1382 deque([1383, 1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 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2374
135
999999999 deque([])
1383 deque([1387, 1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 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4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2378
136
999999999 deque([])
1387 deque([1406, 1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 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4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2397
137
999999999 deque([])
1406 deque([1411, 1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 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4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 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7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 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2402
138
999999999 deque([])
1411 deque([1422, 1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2413
139
999999999 deque([])
1422 deque([1444, 1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2435
140
999999999 deque([])
1444 deque([1445, 1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2436
141
999999999 deque([])
1445 deque([1463, 1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2454
142
999999999 deque([])
1463 deque([1470, 1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2461
143
999999999 deque([])
1470 deque([1477, 1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2468
144
999999999 deque([])
1477 deque([1488, 1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2479
145
999999999 deque([])
1488 deque([1492, 1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 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4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2483
146
999999999 deque([])
1492 deque([1520, 1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 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6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 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2511
147
999999999 deque([])
1520 deque([1524, 1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 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4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 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9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2515
148
999999999 deque([])
1524 deque([1528, 1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 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9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2519
149
999999999 deque([])
1528 deque([1537, 1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 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2528
150
999999999 deque([])
1537 deque([1551, 1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 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9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2542
151
999999999 deque([])
1551 deque([1555, 1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 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9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2546
152
999999999 deque([])
1555 deque([1575, 1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 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2566
153
999999999 deque([])
1575 deque([1577, 1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 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9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2568
154
999999999 deque([])
1577 deque([1578, 1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 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9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2569
155
999999999 deque([])
1578 deque([1595, 1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 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9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2586
156
999999999 deque([])
1595 deque([1602, 1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 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9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2593
157
999999999 deque([])
1602 deque([1618, 1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 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9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2609
158
999999999 deque([])
1618 deque([1620, 1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 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9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2611
159
999999999 deque([])
1620 deque([1625, 1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 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9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2616
160
999999999 deque([])
1625 deque([1627, 1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 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9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2618
161
999999999 deque([])
1627 deque([1629, 1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 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9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2620
162
999999999 deque([])
1629 deque([1636, 1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 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9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2627
163
999999999 deque([])
1636 deque([1639, 1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 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9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2630
164
999999999 deque([])
1639 deque([1653, 1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 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9898, 9905, 9912, 9914, 9923, 9934, 9980])
2644
165
999999999 deque([])
1653 deque([1666, 1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 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9905, 9912, 9914, 9923, 9934, 9980])
2657
166
999999999 deque([])
1666 deque([1667, 1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 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9912, 9914, 9923, 9934, 9980])
2658
167
999999999 deque([])
1667 deque([1677, 1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 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9914, 9923, 9934, 9980])
2668
168
999999999 deque([])
1677 deque([1683, 1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2674
169
999999999 deque([])
1683 deque([1688, 1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2679
170
999999999 deque([])
1688 deque([1689, 1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2680
171
999999999 deque([])
1689 deque([1692, 1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2683
172
999999999 deque([])
1692 deque([1696, 1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2687
173
999999999 deque([])
1696 deque([1697, 1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2688
174
999999999 deque([])
1697 deque([1714, 1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2705
175
999999999 deque([])
1714 deque([1719, 1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2710
176
999999999 deque([])
1719 deque([1728, 1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2719
177
999999999 deque([])
1728 deque([1734, 1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2725
178
999999999 deque([])
1734 deque([1765, 1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2756
179
999999999 deque([])
1765 deque([1775, 1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2766
180
999999999 deque([])
1775 deque([1777, 1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2768
181
999999999 deque([])
1777 deque([1784, 1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2775
182
999999999 deque([])
1784 deque([1813, 1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2804
183
999999999 deque([])
1813 deque([1817, 1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2808
184
999999999 deque([])
1817 deque([1823, 1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2814
185
999999999 deque([])
1823 deque([1834, 1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2825
186
999999999 deque([])
1834 deque([1847, 1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2838
187
999999999 deque([])
1847 deque([1851, 1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2842
188
999999999 deque([])
1851 deque([1853, 1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2844
189
999999999 deque([])
1853 deque([1871, 1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2862
190
999999999 deque([])
1871 deque([1888, 1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2879
191
999999999 deque([])
1888 deque([1890, 1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2881
192
999999999 deque([])
1890 deque([1917, 1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2908
193
999999999 deque([])
1917 deque([1922, 1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2913
194
999999999 deque([])
1922 deque([1934, 1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2925
195
999999999 deque([])
1934 deque([1958, 1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2949
196
999999999 deque([])
1958 deque([1981, 1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2972
197
999999999 deque([])
1981 deque([1999, 2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2990
198
999999999 deque([])
1999 deque([2003, 2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2994
199
999999999 deque([])
2003 deque([2006, 2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
2997
200
999999999 deque([])
2006 deque([2011, 2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3002
201
999999999 deque([])
2011 deque([2013, 2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3004
202
999999999 deque([])
2013 deque([2023, 2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3014
203
999999999 deque([])
2023 deque([2040, 2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3031
204
999999999 deque([])
2040 deque([2050, 2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3041
205
999999999 deque([])
2050 deque([2057, 2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3048
206
999999999 deque([])
2057 deque([2091, 2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3082
207
999999999 deque([])
2091 deque([2093, 2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3084
208
999999999 deque([])
2093 deque([2107, 2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3098
209
999999999 deque([])
2107 deque([2115, 2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3106
210
999999999 deque([])
2115 deque([2123, 2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3114
211
999999999 deque([])
2123 deque([2173, 2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3164
212
999999999 deque([])
2173 deque([2192, 2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3183
213
999999999 deque([])
2192 deque([2195, 2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3186
214
999999999 deque([])
2195 deque([2197, 2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3188
215
999999999 deque([])
2197 deque([2198, 2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3189
216
999999999 deque([])
2198 deque([2204, 2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3195
217
999999999 deque([])
2204 deque([2210, 2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3201
218
999999999 deque([])
2210 deque([2213, 2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3204
219
999999999 deque([])
2213 deque([2216, 2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3207
220
999999999 deque([])
2216 deque([2217, 2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3208
221
999999999 deque([])
2217 deque([2224, 2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3215
222
999999999 deque([])
2224 deque([2230, 2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3221
223
999999999 deque([])
2230 deque([2260, 2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3251
224
999999999 deque([])
2260 deque([2273, 2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3264
225
999999999 deque([])
2273 deque([2282, 2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3273
226
999999999 deque([])
2282 deque([2291, 2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3282
227
999999999 deque([])
2291 deque([2300, 2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3291
228
999999999 deque([])
2300 deque([2324, 2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3315
229
999999999 deque([])
2324 deque([2327, 2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3318
230
999999999 deque([])
2327 deque([2333, 2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3324
231
999999999 deque([])
2333 deque([2347, 2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3338
232
999999999 deque([])
2347 deque([2348, 2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3339
233
999999999 deque([])
2348 deque([2360, 2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3351
234
999999999 deque([])
2360 deque([2365, 2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3356
235
999999999 deque([])
2365 deque([2367, 2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3358
236
999999999 deque([])
2367 deque([2389, 2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3380
237
999999999 deque([])
2389 deque([2399, 2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3390
238
999999999 deque([])
2399 deque([2410, 2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3401
239
999999999 deque([])
2410 deque([2420, 2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3411
240
999999999 deque([])
2420 deque([2425, 2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3416
241
999999999 deque([])
2425 deque([2430, 2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3421
242
999999999 deque([])
2430 deque([2431, 2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3422
243
999999999 deque([])
2431 deque([2453, 2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3444
244
999999999 deque([])
2453 deque([2454, 2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3445
245
999999999 deque([])
2454 deque([2464, 2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3455
246
999999999 deque([])
2464 deque([2468, 2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3459
247
999999999 deque([])
2468 deque([2486, 2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3477
248
999999999 deque([])
2486 deque([2501, 2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3492
249
999999999 deque([])
2501 deque([2510, 2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3501
250
999999999 deque([])
2510 deque([2525, 2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3516
251
999999999 deque([])
2525 deque([2532, 2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3523
252
999999999 deque([])
2532 deque([2549, 2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3540
253
999999999 deque([])
2549 deque([2554, 2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3545
254
999999999 deque([])
2554 deque([2578, 2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3569
255
999999999 deque([])
2578 deque([2579, 2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3570
256
999999999 deque([])
2579 deque([2587, 2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3578
257
999999999 deque([])
2587 deque([2592, 2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3583
258
999999999 deque([])
2592 deque([2602, 2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3593
259
999999999 deque([])
2602 deque([2620, 2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3611
260
999999999 deque([])
2620 deque([2621, 2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3612
261
999999999 deque([])
2621 deque([2626, 2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3617
262
999999999 deque([])
2626 deque([2632, 2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3623
263
999999999 deque([])
2632 deque([2647, 2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3638
264
999999999 deque([])
2647 deque([2654, 2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3645
265
999999999 deque([])
2654 deque([2662, 2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3653
266
999999999 deque([])
2662 deque([2666, 2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3657
267
999999999 deque([])
2666 deque([2672, 2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3663
268
999999999 deque([])
2672 deque([2680, 2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3671
269
999999999 deque([])
2680 deque([2685, 2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3676
270
999999999 deque([])
2685 deque([2687, 2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3678
271
999999999 deque([])
2687 deque([2712, 2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3703
272
999999999 deque([])
2712 deque([2721, 2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3712
273
999999999 deque([])
2721 deque([2722, 2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3713
274
999999999 deque([])
2722 deque([2726, 2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3717
275
999999999 deque([])
2726 deque([2748, 2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3739
276
999999999 deque([])
2748 deque([2750, 2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3741
277
999999999 deque([])
2750 deque([2752, 2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3743
278
999999999 deque([])
2752 deque([2759, 2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3750
279
999999999 deque([])
2759 deque([2763, 2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3754
280
999999999 deque([])
2763 deque([2765, 2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3756
281
999999999 deque([])
2765 deque([2768, 2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3759
282
999999999 deque([])
2768 deque([2769, 2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3760
283
999999999 deque([])
2769 deque([2784, 2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3775
284
999999999 deque([])
2784 deque([2789, 2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3780
285
999999999 deque([])
2789 deque([2796, 2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3787
286
999999999 deque([])
2796 deque([2797, 2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3788
287
999999999 deque([])
2797 deque([2807, 2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3798
288
999999999 deque([])
2807 deque([2825, 2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3816
289
999999999 deque([])
2825 deque([2826, 2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3817
290
999999999 deque([])
2826 deque([2852, 2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3843
291
999999999 deque([])
2852 deque([2856, 2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3847
292
999999999 deque([])
2856 deque([2896, 2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3887
293
999999999 deque([])
2896 deque([2899, 2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3890
294
999999999 deque([])
2899 deque([2900, 2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3891
295
999999999 deque([])
2900 deque([2904, 2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3895
296
999999999 deque([])
2904 deque([2907, 2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3898
297
999999999 deque([])
2907 deque([2913, 2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3904
298
999999999 deque([])
2913 deque([2933, 2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3924
299
999999999 deque([])
2933 deque([2948, 2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3939
300
999999999 deque([])
2948 deque([2957, 2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3948
301
999999999 deque([])
2957 deque([2972, 2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3963
302
999999999 deque([])
2972 deque([2977, 2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3968
303
999999999 deque([])
2977 deque([2985, 2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3976
304
999999999 deque([])
2985 deque([2988, 3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
3979
305
999999999 deque([])
2988 deque([3022, 3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4013
306
999999999 deque([])
3022 deque([3031, 3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4022
307
999999999 deque([])
3031 deque([3036, 3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4027
308
999999999 deque([])
3036 deque([3046, 3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4037
309
999999999 deque([])
3046 deque([3052, 3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4043
310
999999999 deque([])
3052 deque([3056, 3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4047
311
999999999 deque([])
3056 deque([3058, 3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4049
312
999999999 deque([])
3058 deque([3073, 3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4064
313
999999999 deque([])
3073 deque([3089, 3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4080
314
999999999 deque([])
3089 deque([3090, 3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4081
315
999999999 deque([])
3090 deque([3091, 3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4082
316
999999999 deque([])
3091 deque([3101, 3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4092
317
999999999 deque([])
3101 deque([3147, 3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4138
318
999999999 deque([])
3147 deque([3148, 3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4139
319
999999999 deque([])
3148 deque([3149, 3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4140
320
999999999 deque([])
3149 deque([3167, 3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4158
321
999999999 deque([])
3167 deque([3171, 3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4162
322
999999999 deque([])
3171 deque([3172, 3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4163
323
999999999 deque([])
3172 deque([3187, 3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4178
324
999999999 deque([])
3187 deque([3190, 3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4181
325
999999999 deque([])
3190 deque([3196, 3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4187
326
999999999 deque([])
3196 deque([3214, 3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4205
327
999999999 deque([])
3214 deque([3232, 3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4223
328
999999999 deque([])
3232 deque([3241, 3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4232
329
999999999 deque([])
3241 deque([3248, 3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4239
330
999999999 deque([])
3248 deque([3249, 3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4240
331
999999999 deque([])
3249 deque([3260, 3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4251
332
999999999 deque([])
3260 deque([3284, 3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4275
333
999999999 deque([])
3284 deque([3290, 3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4281
334
999999999 deque([])
3290 deque([3296, 3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4287
335
999999999 deque([])
3296 deque([3312, 3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4303
336
999999999 deque([])
3312 deque([3333, 3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4324
337
999999999 deque([])
3333 deque([3343, 3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4334
338
999999999 deque([])
3343 deque([3346, 3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4337
339
999999999 deque([])
3346 deque([3355, 3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4346
340
999999999 deque([])
3355 deque([3359, 3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4350
341
999999999 deque([])
3359 deque([3364, 3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4355
342
999999999 deque([])
3364 deque([3379, 3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4370
343
999999999 deque([])
3379 deque([3393, 3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4384
344
999999999 deque([])
3393 deque([3395, 3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4386
345
999999999 deque([])
3395 deque([3421, 3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4412
346
999999999 deque([])
3421 deque([3444, 3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4435
347
999999999 deque([])
3444 deque([3455, 3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4446
348
999999999 deque([])
3455 deque([3467, 3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4458
349
999999999 deque([])
3467 deque([3477, 3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4468
350
999999999 deque([])
3477 deque([3482, 3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4473
351
999999999 deque([])
3482 deque([3500, 3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4491
352
999999999 deque([])
3500 deque([3505, 3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4496
353
999999999 deque([])
3505 deque([3512, 3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4503
354
999999999 deque([])
3512 deque([3563, 3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4554
355
999999999 deque([])
3563 deque([3574, 3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4565
356
999999999 deque([])
3574 deque([3638, 3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4629
357
999999999 deque([])
3638 deque([3683, 3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4674
358
999999999 deque([])
3683 deque([3690, 3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4681
359
999999999 deque([])
3690 deque([3694, 3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4685
360
999999999 deque([])
3694 deque([3695, 3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4686
361
999999999 deque([])
3695 deque([3699, 3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4690
362
999999999 deque([])
3699 deque([3705, 3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4696
363
999999999 deque([])
3705 deque([3745, 3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4736
364
999999999 deque([])
3745 deque([3763, 3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4754
365
999999999 deque([])
3763 deque([3768, 3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4759
366
999999999 deque([])
3768 deque([3786, 3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4777
367
999999999 deque([])
3786 deque([3790, 3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4781
368
999999999 deque([])
3790 deque([3803, 3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4794
369
999999999 deque([])
3803 deque([3804, 3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4795
370
999999999 deque([])
3804 deque([3814, 3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4805
371
999999999 deque([])
3814 deque([3820, 3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4811
372
999999999 deque([])
3820 deque([3834, 3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4825
373
999999999 deque([])
3834 deque([3843, 3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4834
374
999999999 deque([])
3843 deque([3844, 3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4835
375
999999999 deque([])
3844 deque([3847, 3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4838
376
999999999 deque([])
3847 deque([3852, 3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4843
377
999999999 deque([])
3852 deque([3872, 3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4863
378
999999999 deque([])
3872 deque([3884, 3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4875
379
999999999 deque([])
3884 deque([3894, 3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4885
380
999999999 deque([])
3894 deque([3895, 3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4886
381
999999999 deque([])
3895 deque([3902, 3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4893
382
999999999 deque([])
3902 deque([3904, 3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4895
383
999999999 deque([])
3904 deque([3923, 3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4914
384
999999999 deque([])
3923 deque([3989, 3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4980
385
999999999 deque([])
3989 deque([3993, 3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4984
386
999999999 deque([])
3993 deque([3998, 4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4989
387
999999999 deque([])
3998 deque([4003, 4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4994
388
999999999 deque([])
4003 deque([4007, 4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
4998
389
999999999 deque([])
4007 deque([4009, 4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5000
390
999999999 deque([])
4009 deque([4012, 4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5003
391
999999999 deque([])
4012 deque([4014, 4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5005
392
999999999 deque([])
4014 deque([4028, 4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5019
393
999999999 deque([])
4028 deque([4031, 4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5022
394
999999999 deque([])
4031 deque([4050, 4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5041
395
999999999 deque([])
4050 deque([4057, 4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5048
396
999999999 deque([])
4057 deque([4071, 4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5062
397
999999999 deque([])
4071 deque([4075, 4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5066
398
999999999 deque([])
4075 deque([4084, 4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5075
399
999999999 deque([])
4084 deque([4087, 4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5078
400
999999999 deque([])
4087 deque([4102, 4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5093
401
999999999 deque([])
4102 deque([4112, 4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5103
402
999999999 deque([])
4112 deque([4117, 4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5108
403
999999999 deque([])
4117 deque([4133, 4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5124
404
999999999 deque([])
4133 deque([4137, 4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5128
405
999999999 deque([])
4137 deque([4142, 4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5133
406
999999999 deque([])
4142 deque([4146, 4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5137
407
999999999 deque([])
4146 deque([4160, 4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5151
408
999999999 deque([])
4160 deque([4184, 4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5175
409
999999999 deque([])
4184 deque([4194, 4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5185
410
999999999 deque([])
4194 deque([4196, 4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5187
411
999999999 deque([])
4196 deque([4205, 4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5196
412
999999999 deque([])
4205 deque([4213, 4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5204
413
999999999 deque([])
4213 deque([4224, 4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5215
414
999999999 deque([])
4224 deque([4225, 4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5216
415
999999999 deque([])
4225 deque([4246, 4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5237
416
999999999 deque([])
4246 deque([4255, 4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5246
417
999999999 deque([])
4255 deque([4256, 4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5247
418
999999999 deque([])
4256 deque([4272, 4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5263
419
999999999 deque([])
4272 deque([4284, 4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5275
420
999999999 deque([])
4284 deque([4286, 4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5277
421
999999999 deque([])
4286 deque([4290, 4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5281
422
999999999 deque([])
4290 deque([4296, 4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5287
423
999999999 deque([])
4296 deque([4306, 4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5297
424
999999999 deque([])
4306 deque([4341, 4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5332
425
999999999 deque([])
4341 deque([4362, 4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5353
426
999999999 deque([])
4362 deque([4366, 4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5357
427
999999999 deque([])
4366 deque([4370, 4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5361
428
999999999 deque([])
4370 deque([4371, 4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5362
429
999999999 deque([])
4371 deque([4375, 4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5366
430
999999999 deque([])
4375 deque([4380, 4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5371
431
999999999 deque([])
4380 deque([4396, 4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5387
432
999999999 deque([])
4396 deque([4400, 4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5391
433
999999999 deque([])
4400 deque([4413, 4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5404
434
999999999 deque([])
4413 deque([4417, 4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5408
435
999999999 deque([])
4417 deque([4440, 4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5431
436
999999999 deque([])
4440 deque([4456, 4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5447
437
999999999 deque([])
4456 deque([4464, 4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5455
438
999999999 deque([])
4464 deque([4469, 4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5460
439
999999999 deque([])
4469 deque([4471, 4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5462
440
999999999 deque([])
4471 deque([4482, 4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5473
441
999999999 deque([])
4482 deque([4487, 4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5478
442
999999999 deque([])
4487 deque([4511, 4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5502
443
999999999 deque([])
4511 deque([4530, 4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5521
444
999999999 deque([])
4530 deque([4532, 4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5523
445
999999999 deque([])
4532 deque([4567, 4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5558
446
999999999 deque([])
4567 deque([4582, 4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5573
447
999999999 deque([])
4582 deque([4588, 4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5579
448
999999999 deque([])
4588 deque([4605, 4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5596
449
999999999 deque([])
4605 deque([4608, 4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5599
450
999999999 deque([])
4608 deque([4636, 4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5627
451
999999999 deque([])
4636 deque([4654, 4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5645
452
999999999 deque([])
4654 deque([4659, 4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5650
453
999999999 deque([])
4659 deque([4669, 4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5660
454
999999999 deque([])
4669 deque([4683, 4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5674
455
999999999 deque([])
4683 deque([4685, 4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5676
456
999999999 deque([])
4685 deque([4689, 4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5680
457
999999999 deque([])
4689 deque([4691, 4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5682
458
999999999 deque([])
4691 deque([4717, 4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5708
459
999999999 deque([])
4717 deque([4721, 4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5712
460
999999999 deque([])
4721 deque([4732, 4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5723
461
999999999 deque([])
4732 deque([4735, 4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5726
462
999999999 deque([])
4735 deque([4747, 4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5738
463
999999999 deque([])
4747 deque([4769, 4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5760
464
999999999 deque([])
4769 deque([4771, 4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5762
465
999999999 deque([])
4771 deque([4780, 4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5771
466
999999999 deque([])
4780 deque([4790, 4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5781
467
999999999 deque([])
4790 deque([4792, 4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5783
468
999999999 deque([])
4792 deque([4794, 4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5785
469
999999999 deque([])
4794 deque([4807, 4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5798
470
999999999 deque([])
4807 deque([4814, 4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5805
471
999999999 deque([])
4814 deque([4818, 4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5809
472
999999999 deque([])
4818 deque([4819, 4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5810
473
999999999 deque([])
4819 deque([4823, 4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5814
474
999999999 deque([])
4823 deque([4845, 4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5836
475
999999999 deque([])
4845 deque([4851, 4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5842
476
999999999 deque([])
4851 deque([4859, 4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5850
477
999999999 deque([])
4859 deque([4895, 4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5886
478
999999999 deque([])
4895 deque([4902, 4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5893
479
999999999 deque([])
4902 deque([4914, 4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5905
480
999999999 deque([])
4914 deque([4921, 4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5912
481
999999999 deque([])
4921 deque([4924, 4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5915
482
999999999 deque([])
4924 deque([4930, 4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5921
483
999999999 deque([])
4930 deque([4934, 4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5925
484
999999999 deque([])
4934 deque([4939, 4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5930
485
999999999 deque([])
4939 deque([4942, 4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5933
486
999999999 deque([])
4942 deque([4951, 4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5942
487
999999999 deque([])
4951 deque([4952, 4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5943
488
999999999 deque([])
4952 deque([4957, 4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5948
489
999999999 deque([])
4957 deque([4960, 4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5951
490
999999999 deque([])
4960 deque([4962, 4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5953
491
999999999 deque([])
4962 deque([4972, 4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5963
492
999999999 deque([])
4972 deque([4981, 4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5972
493
999999999 deque([])
4981 deque([4990, 4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5981
494
999999999 deque([])
4990 deque([4995, 5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5986
495
999999999 deque([])
4995 deque([5003, 5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5994
496
999999999 deque([])
5003 deque([5004, 5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
5995
497
999999999 deque([])
5004 deque([5013, 5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6004
498
999999999 deque([])
5013 deque([5019, 5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6010
499
999999999 deque([])
5019 deque([5038, 5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6029
500
999999999 deque([])
5038 deque([5044, 5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6035
501
999999999 deque([])
5044 deque([5052, 5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6043
502
999999999 deque([])
5052 deque([5083, 5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6074
503
999999999 deque([])
5083 deque([5086, 5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6077
504
999999999 deque([])
5086 deque([5097, 5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6088
505
999999999 deque([])
5097 deque([5103, 5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6094
506
999999999 deque([])
5103 deque([5107, 5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6098
507
999999999 deque([])
5107 deque([5118, 5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6109
508
999999999 deque([])
5118 deque([5122, 5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6113
509
999999999 deque([])
5122 deque([5125, 5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6116
510
999999999 deque([])
5125 deque([5133, 5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6124
511
999999999 deque([])
5133 deque([5137, 5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6128
512
999999999 deque([])
5137 deque([5168, 5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6159
513
999999999 deque([])
5168 deque([5180, 5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6171
514
999999999 deque([])
5180 deque([5186, 5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6177
515
999999999 deque([])
5186 deque([5190, 5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6181
516
999999999 deque([])
5190 deque([5194, 5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6185
517
999999999 deque([])
5194 deque([5216, 5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6207
518
999999999 deque([])
5216 deque([5230, 5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6221
519
999999999 deque([])
5230 deque([5237, 5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6228
520
999999999 deque([])
5237 deque([5241, 5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6232
521
999999999 deque([])
5241 deque([5264, 5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6255
522
999999999 deque([])
5264 deque([5267, 5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6258
523
999999999 deque([])
5267 deque([5268, 5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6259
524
999999999 deque([])
5268 deque([5272, 5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6263
525
999999999 deque([])
5272 deque([5280, 5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6271
526
999999999 deque([])
5280 deque([5281, 5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6272
527
999999999 deque([])
5281 deque([5282, 5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6273
528
999999999 deque([])
5282 deque([5299, 5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6290
529
999999999 deque([])
5299 deque([5301, 5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6292
530
999999999 deque([])
5301 deque([5305, 5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6296
531
999999999 deque([])
5305 deque([5355, 5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6346
532
999999999 deque([])
5355 deque([5357, 5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6348
533
999999999 deque([])
5357 deque([5362, 5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6353
534
999999999 deque([])
5362 deque([5364, 5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6355
535
999999999 deque([])
5364 deque([5384, 5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6375
536
999999999 deque([])
5384 deque([5390, 5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6381
537
999999999 deque([])
5390 deque([5394, 5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6385
538
999999999 deque([])
5394 deque([5401, 5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6392
539
999999999 deque([])
5401 deque([5407, 5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6398
540
999999999 deque([])
5407 deque([5415, 5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6406
541
999999999 deque([])
5415 deque([5420, 5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6411
542
999999999 deque([])
5420 deque([5429, 5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6420
543
999999999 deque([])
5429 deque([5434, 5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6425
544
999999999 deque([])
5434 deque([5438, 5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6429
545
999999999 deque([])
5438 deque([5460, 5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6451
546
999999999 deque([])
5460 deque([5461, 5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6452
547
999999999 deque([])
5461 deque([5464, 5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6455
548
999999999 deque([])
5464 deque([5473, 5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6464
549
999999999 deque([])
5473 deque([5478, 5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6469
550
999999999 deque([])
5478 deque([5486, 5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6477
551
999999999 deque([])
5486 deque([5492, 5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6483
552
999999999 deque([])
5492 deque([5511, 5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6502
553
999999999 deque([])
5511 deque([5528, 5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6519
554
999999999 deque([])
5528 deque([5554, 5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6545
555
999999999 deque([])
5554 deque([5556, 5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6547
556
999999999 deque([])
5556 deque([5562, 5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6553
557
999999999 deque([])
5562 deque([5568, 5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6559
558
999999999 deque([])
5568 deque([5580, 5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6571
559
999999999 deque([])
5580 deque([5591, 5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6582
560
999999999 deque([])
5591 deque([5599, 5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6590
561
999999999 deque([])
5599 deque([5602, 5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6593
562
999999999 deque([])
5602 deque([5609, 5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6600
563
999999999 deque([])
5609 deque([5622, 5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6613
564
999999999 deque([])
5622 deque([5624, 5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6615
565
999999999 deque([])
5624 deque([5656, 5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6647
566
999999999 deque([])
5656 deque([5688, 5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6679
567
999999999 deque([])
5688 deque([5722, 5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6713
568
999999999 deque([])
5722 deque([5727, 5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6718
569
999999999 deque([])
5727 deque([5733, 5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6724
570
999999999 deque([])
5733 deque([5737, 5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6728
571
999999999 deque([])
5737 deque([5745, 5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6736
572
999999999 deque([])
5745 deque([5763, 5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6754
573
999999999 deque([])
5763 deque([5764, 5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6755
574
999999999 deque([])
5764 deque([5790, 5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6781
575
999999999 deque([])
5790 deque([5791, 5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6782
576
999999999 deque([])
5791 deque([5797, 5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6788
577
999999999 deque([])
5797 deque([5808, 5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6799
578
999999999 deque([])
5808 deque([5811, 5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6802
579
999999999 deque([])
5811 deque([5820, 5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6811
580
999999999 deque([])
5820 deque([5824, 5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6815
581
999999999 deque([])
5824 deque([5841, 5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6832
582
999999999 deque([])
5841 deque([5843, 5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6834
583
999999999 deque([])
5843 deque([5864, 5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6855
584
999999999 deque([])
5864 deque([5868, 5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6859
585
999999999 deque([])
5868 deque([5876, 5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6867
586
999999999 deque([])
5876 deque([5905, 5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6896
587
999999999 deque([])
5905 deque([5914, 5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6905
588
999999999 deque([])
5914 deque([5930, 5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6921
589
999999999 deque([])
5930 deque([5957, 5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6948
590
999999999 deque([])
5957 deque([5981, 5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6972
591
999999999 deque([])
5981 deque([5994, 5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6985
592
999999999 deque([])
5994 deque([5997, 6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
6988
593
999999999 deque([])
5997 deque([6010, 6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7001
594
999999999 deque([])
6010 deque([6025, 6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7016
595
999999999 deque([])
6025 deque([6027, 6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7018
596
999999999 deque([])
6027 deque([6039, 6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7030
597
999999999 deque([])
6039 deque([6047, 6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7038
598
999999999 deque([])
6047 deque([6060, 6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7051
599
999999999 deque([])
6060 deque([6078, 6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7069
600
999999999 deque([])
6078 deque([6093, 6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7084
601
999999999 deque([])
6093 deque([6103, 6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7094
602
999999999 deque([])
6103 deque([6115, 6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7106
603
999999999 deque([])
6115 deque([6119, 6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7110
604
999999999 deque([])
6119 deque([6127, 6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7118
605
999999999 deque([])
6127 deque([6133, 6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7124
606
999999999 deque([])
6133 deque([6144, 6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7135
607
999999999 deque([])
6144 deque([6195, 6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7186
608
999999999 deque([])
6195 deque([6197, 6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7188
609
999999999 deque([])
6197 deque([6199, 6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7190
610
999999999 deque([])
6199 deque([6210, 6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7201
611
999999999 deque([])
6210 deque([6234, 6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7225
612
999999999 deque([])
6234 deque([6242, 6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7233
613
999999999 deque([])
6242 deque([6246, 6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7237
614
999999999 deque([])
6246 deque([6249, 6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7240
615
999999999 deque([])
6249 deque([6255, 6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7246
616
999999999 deque([])
6255 deque([6256, 6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7247
617
999999999 deque([])
6256 deque([6261, 6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7252
618
999999999 deque([])
6261 deque([6281, 6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7272
619
999999999 deque([])
6281 deque([6284, 6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7275
620
999999999 deque([])
6284 deque([6290, 6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7281
621
999999999 deque([])
6290 deque([6313, 6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7304
622
999999999 deque([])
6313 deque([6315, 6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7306
623
999999999 deque([])
6315 deque([6316, 6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7307
624
999999999 deque([])
6316 deque([6325, 6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7316
625
999999999 deque([])
6325 deque([6346, 6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7337
626
999999999 deque([])
6346 deque([6363, 6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7354
627
999999999 deque([])
6363 deque([6368, 6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7359
628
999999999 deque([])
6368 deque([6380, 6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7371
629
999999999 deque([])
6380 deque([6386, 6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7377
630
999999999 deque([])
6386 deque([6405, 6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7396
631
999999999 deque([])
6405 deque([6407, 6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7398
632
999999999 deque([])
6407 deque([6412, 6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7403
633
999999999 deque([])
6412 deque([6414, 6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7405
634
999999999 deque([])
6414 deque([6416, 6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7407
635
999999999 deque([])
6416 deque([6424, 6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7415
636
999999999 deque([])
6424 deque([6436, 6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7427
637
999999999 deque([])
6436 deque([6444, 6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7435
638
999999999 deque([])
6444 deque([6448, 6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7439
639
999999999 deque([])
6448 deque([6452, 6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7443
640
999999999 deque([])
6452 deque([6474, 6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7465
641
999999999 deque([])
6474 deque([6478, 6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7469
642
999999999 deque([])
6478 deque([6487, 6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7478
643
999999999 deque([])
6487 deque([6493, 6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7484
644
999999999 deque([])
6493 deque([6500, 6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7491
645
999999999 deque([])
6500 deque([6511, 6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7502
646
999999999 deque([])
6511 deque([6515, 6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7506
647
999999999 deque([])
6515 deque([6519, 6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7510
648
999999999 deque([])
6519 deque([6522, 6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7513
649
999999999 deque([])
6522 deque([6523, 6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7514
650
999999999 deque([])
6523 deque([6526, 6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7517
651
999999999 deque([])
6526 deque([6534, 6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7525
652
999999999 deque([])
6534 deque([6546, 6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7537
653
999999999 deque([])
6546 deque([6549, 6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7540
654
999999999 deque([])
6549 deque([6581, 6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7572
655
999999999 deque([])
6581 deque([6583, 6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7574
656
999999999 deque([])
6583 deque([6596, 6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7587
657
999999999 deque([])
6596 deque([6626, 6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7617
658
999999999 deque([])
6626 deque([6629, 6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7620
659
999999999 deque([])
6629 deque([6631, 6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7622
660
999999999 deque([])
6631 deque([6643, 6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7634
661
999999999 deque([])
6643 deque([6647, 6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7638
662
999999999 deque([])
6647 deque([6658, 6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7649
663
999999999 deque([])
6658 deque([6666, 6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7657
664
999999999 deque([])
6666 deque([6671, 6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7662
665
999999999 deque([])
6671 deque([6676, 6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7667
666
999999999 deque([])
6676 deque([6688, 6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7679
667
999999999 deque([])
6688 deque([6699, 6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7690
668
999999999 deque([])
6699 deque([6703, 6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7694
669
999999999 deque([])
6703 deque([6706, 6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7697
670
999999999 deque([])
6706 deque([6743, 6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7734
671
999999999 deque([])
6743 deque([6748, 6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7739
672
999999999 deque([])
6748 deque([6751, 6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7742
673
999999999 deque([])
6751 deque([6770, 6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7761
674
999999999 deque([])
6770 deque([6778, 6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7769
675
999999999 deque([])
6778 deque([6785, 6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7776
676
999999999 deque([])
6785 deque([6796, 6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7787
677
999999999 deque([])
6796 deque([6798, 6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7789
678
999999999 deque([])
6798 deque([6799, 6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7790
679
999999999 deque([])
6799 deque([6800, 6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7791
680
999999999 deque([])
6800 deque([6803, 6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7794
681
999999999 deque([])
6803 deque([6835, 6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7826
682
999999999 deque([])
6835 deque([6844, 6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7835
683
999999999 deque([])
6844 deque([6854, 6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7845
684
999999999 deque([])
6854 deque([6858, 6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7849
685
999999999 deque([])
6858 deque([6866, 6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7857
686
999999999 deque([])
6866 deque([6871, 6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7862
687
999999999 deque([])
6871 deque([6880, 6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7871
688
999999999 deque([])
6880 deque([6885, 6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7876
689
999999999 deque([])
6885 deque([6904, 6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7895
690
999999999 deque([])
6904 deque([6937, 6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7928
691
999999999 deque([])
6937 deque([6953, 6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7944
692
999999999 deque([])
6953 deque([6960, 6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7951
693
999999999 deque([])
6960 deque([6970, 6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7961
694
999999999 deque([])
6970 deque([6972, 7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7963
695
999999999 deque([])
6972 deque([7003, 7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
7994
696
999999999 deque([])
7003 deque([7011, 7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8002
697
999999999 deque([])
7011 deque([7022, 7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8013
698
999999999 deque([])
7022 deque([7041, 7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8032
699
999999999 deque([])
7041 deque([7050, 7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8041
700
999999999 deque([])
7050 deque([7058, 7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8049
701
999999999 deque([])
7058 deque([7065, 7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8056
702
999999999 deque([])
7065 deque([7073, 7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8064
703
999999999 deque([])
7073 deque([7079, 7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8070
704
999999999 deque([])
7079 deque([7081, 7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8072
705
999999999 deque([])
7081 deque([7086, 7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8077
706
999999999 deque([])
7086 deque([7087, 7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8078
707
999999999 deque([])
7087 deque([7092, 7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8083
708
999999999 deque([])
7092 deque([7106, 7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8097
709
999999999 deque([])
7106 deque([7108, 7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8099
710
999999999 deque([])
7108 deque([7119, 7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8110
711
999999999 deque([])
7119 deque([7126, 7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8117
712
999999999 deque([])
7126 deque([7128, 7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8119
713
999999999 deque([])
7128 deque([7134, 7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8125
714
999999999 deque([])
7134 deque([7139, 7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8130
715
999999999 deque([])
7139 deque([7147, 7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8138
716
999999999 deque([])
7147 deque([7167, 7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8158
717
999999999 deque([])
7167 deque([7180, 7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8171
718
999999999 deque([])
7180 deque([7192, 7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8183
719
999999999 deque([])
7192 deque([7216, 7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8207
720
999999999 deque([])
7216 deque([7253, 7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8244
721
999999999 deque([])
7253 deque([7258, 7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8249
722
999999999 deque([])
7258 deque([7267, 7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8258
723
999999999 deque([])
7267 deque([7279, 7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8270
724
999999999 deque([])
7279 deque([7291, 7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8282
725
999999999 deque([])
7291 deque([7299, 7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8290
726
999999999 deque([])
7299 deque([7313, 7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8304
727
999999999 deque([])
7313 deque([7324, 7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8315
728
999999999 deque([])
7324 deque([7328, 7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8319
729
999999999 deque([])
7328 deque([7329, 7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8320
730
999999999 deque([])
7329 deque([7342, 7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8333
731
999999999 deque([])
7342 deque([7349, 7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8340
732
999999999 deque([])
7349 deque([7355, 7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8346
733
999999999 deque([])
7355 deque([7374, 7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8365
734
999999999 deque([])
7374 deque([7378, 7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8369
735
999999999 deque([])
7378 deque([7381, 7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8372
736
999999999 deque([])
7381 deque([7382, 7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8373
737
999999999 deque([])
7382 deque([7403, 7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8394
738
999999999 deque([])
7403 deque([7408, 7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8399
739
999999999 deque([])
7408 deque([7416, 7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8407
740
999999999 deque([])
7416 deque([7419, 7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8410
741
999999999 deque([])
7419 deque([7424, 7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8415
742
999999999 deque([])
7424 deque([7426, 7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8417
743
999999999 deque([])
7426 deque([7430, 7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8421
744
999999999 deque([])
7430 deque([7452, 7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8443
745
999999999 deque([])
7452 deque([7469, 7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8460
746
999999999 deque([])
7469 deque([7473, 7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8464
747
999999999 deque([])
7473 deque([7479, 7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8470
748
999999999 deque([])
7479 deque([7480, 7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8471
749
999999999 deque([])
7480 deque([7486, 7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8477
750
999999999 deque([])
7486 deque([7495, 7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8486
751
999999999 deque([])
7495 deque([7498, 7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8489
752
999999999 deque([])
7498 deque([7499, 7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8490
753
999999999 deque([])
7499 deque([7506, 7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8497
754
999999999 deque([])
7506 deque([7507, 7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8498
755
999999999 deque([])
7507 deque([7511, 7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8502
756
999999999 deque([])
7511 deque([7546, 7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8537
757
999999999 deque([])
7546 deque([7569, 7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8560
758
999999999 deque([])
7569 deque([7579, 7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8570
759
999999999 deque([])
7579 deque([7580, 7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8571
760
999999999 deque([])
7580 deque([7589, 7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8580
761
999999999 deque([])
7589 deque([7591, 7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8582
762
999999999 deque([])
7591 deque([7617, 7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8608
763
999999999 deque([])
7617 deque([7642, 7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8633
764
999999999 deque([])
7642 deque([7647, 7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8638
765
999999999 deque([])
7647 deque([7648, 7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8639
766
999999999 deque([])
7648 deque([7649, 7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8640
767
999999999 deque([])
7649 deque([7651, 7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8642
768
999999999 deque([])
7651 deque([7655, 7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8646
769
999999999 deque([])
7655 deque([7682, 7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8673
770
999999999 deque([])
7682 deque([7685, 7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8676
771
999999999 deque([])
7685 deque([7702, 7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8693
772
999999999 deque([])
7702 deque([7713, 7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8704
773
999999999 deque([])
7713 deque([7720, 7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8711
774
999999999 deque([])
7720 deque([7723, 7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8714
775
999999999 deque([])
7723 deque([7732, 7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8723
776
999999999 deque([])
7732 deque([7743, 7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8734
777
999999999 deque([])
7743 deque([7744, 7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8735
778
999999999 deque([])
7744 deque([7755, 7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8746
779
999999999 deque([])
7755 deque([7756, 7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8747
780
999999999 deque([])
7756 deque([7759, 7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8750
781
999999999 deque([])
7759 deque([7761, 7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8752
782
999999999 deque([])
7761 deque([7775, 7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8766
783
999999999 deque([])
7775 deque([7777, 7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8768
784
999999999 deque([])
7777 deque([7778, 7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8769
785
999999999 deque([])
7778 deque([7792, 7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8783
786
999999999 deque([])
7792 deque([7795, 7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8786
787
999999999 deque([])
7795 deque([7820, 7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8811
788
999999999 deque([])
7820 deque([7844, 7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8835
789
999999999 deque([])
7844 deque([7854, 7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8845
790
999999999 deque([])
7854 deque([7865, 7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8856
791
999999999 deque([])
7865 deque([7871, 7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8862
792
999999999 deque([])
7871 deque([7896, 7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8887
793
999999999 deque([])
7896 deque([7915, 7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8906
794
999999999 deque([])
7915 deque([7916, 7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8907
795
999999999 deque([])
7916 deque([7929, 7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8920
796
999999999 deque([])
7929 deque([7937, 7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8928
797
999999999 deque([])
7937 deque([7950, 7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8941
798
999999999 deque([])
7950 deque([7953, 7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8944
799
999999999 deque([])
7953 deque([7956, 7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8947
800
999999999 deque([])
7956 deque([7965, 7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8956
801
999999999 deque([])
7965 deque([7967, 7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8958
802
999999999 deque([])
7967 deque([7974, 7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8965
803
999999999 deque([])
7974 deque([7989, 8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8980
804
999999999 deque([])
7989 deque([8000, 8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8991
805
999999999 deque([])
8000 deque([8002, 8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8993
806
999999999 deque([])
8002 deque([8006, 8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
8997
807
999999999 deque([])
8006 deque([8010, 8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9001
808
999999999 deque([])
8010 deque([8021, 8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9012
809
999999999 deque([])
8021 deque([8023, 8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9014
810
999999999 deque([])
8023 deque([8031, 8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9022
811
999999999 deque([])
8031 deque([8053, 8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9044
812
999999999 deque([])
8053 deque([8063, 8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9054
813
999999999 deque([])
8063 deque([8064, 8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9055
814
999999999 deque([])
8064 deque([8070, 8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9061
815
999999999 deque([])
8070 deque([8074, 8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9065
816
999999999 deque([])
8074 deque([8087, 8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9078
817
999999999 deque([])
8087 deque([8091, 8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9082
818
999999999 deque([])
8091 deque([8098, 8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9089
819
999999999 deque([])
8098 deque([8110, 8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9101
820
999999999 deque([])
8110 deque([8113, 8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9104
821
999999999 deque([])
8113 deque([8127, 8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9118
822
999999999 deque([])
8127 deque([8130, 8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9121
823
999999999 deque([])
8130 deque([8131, 8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9122
824
999999999 deque([])
8131 deque([8146, 8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9137
825
999999999 deque([])
8146 deque([8154, 8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9145
826
999999999 deque([])
8154 deque([8155, 8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9146
827
999999999 deque([])
8155 deque([8158, 8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9149
828
999999999 deque([])
8158 deque([8170, 8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9161
829
999999999 deque([])
8170 deque([8193, 8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9184
830
999999999 deque([])
8193 deque([8198, 8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9189
831
999999999 deque([])
8198 deque([8202, 8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9193
832
999999999 deque([])
8202 deque([8210, 8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9201
833
999999999 deque([])
8210 deque([8231, 8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9222
834
999999999 deque([])
8231 deque([8241, 8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9232
835
999999999 deque([])
8241 deque([8250, 8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9241
836
999999999 deque([])
8250 deque([8261, 8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9252
837
999999999 deque([])
8261 deque([8263, 8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9254
838
999999999 deque([])
8263 deque([8272, 8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9263
839
999999999 deque([])
8272 deque([8275, 8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9266
840
999999999 deque([])
8275 deque([8278, 8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9269
841
999999999 deque([])
8278 deque([8295, 8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9286
842
999999999 deque([])
8295 deque([8301, 8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9292
843
999999999 deque([])
8301 deque([8318, 8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9309
844
999999999 deque([])
8318 deque([8320, 8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9311
845
999999999 deque([])
8320 deque([8322, 8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9313
846
999999999 deque([])
8322 deque([8330, 8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9321
847
999999999 deque([])
8330 deque([8342, 8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9333
848
999999999 deque([])
8342 deque([8348, 8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9339
849
999999999 deque([])
8348 deque([8385, 8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9376
850
999999999 deque([])
8385 deque([8405, 8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9396
851
999999999 deque([])
8405 deque([8412, 8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9403
852
999999999 deque([])
8412 deque([8423, 8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9414
853
999999999 deque([])
8423 deque([8427, 8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9418
854
999999999 deque([])
8427 deque([8428, 8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9419
855
999999999 deque([])
8428 deque([8438, 8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9429
856
999999999 deque([])
8438 deque([8457, 8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9448
857
999999999 deque([])
8457 deque([8468, 8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9459
858
999999999 deque([])
8468 deque([8472, 8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9463
859
999999999 deque([])
8472 deque([8486, 8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9477
860
999999999 deque([])
8486 deque([8488, 8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9479
861
999999999 deque([])
8488 deque([8517, 8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9508
862
999999999 deque([])
8517 deque([8525, 8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9516
863
999999999 deque([])
8525 deque([8536, 8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9527
864
999999999 deque([])
8536 deque([8539, 8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9530
865
999999999 deque([])
8539 deque([8541, 8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9532
866
999999999 deque([])
8541 deque([8542, 8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9533
867
999999999 deque([])
8542 deque([8565, 8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9556
868
999999999 deque([])
8565 deque([8585, 8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9576
869
999999999 deque([])
8585 deque([8587, 8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9578
870
999999999 deque([])
8587 deque([8603, 8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9594
871
999999999 deque([])
8603 deque([8605, 8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9596
872
999999999 deque([])
8605 deque([8618, 8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9609
873
999999999 deque([])
8618 deque([8619, 8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9610
874
999999999 deque([])
8619 deque([8648, 8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9639
875
999999999 deque([])
8648 deque([8649, 8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9640
876
999999999 deque([])
8649 deque([8659, 8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9650
877
999999999 deque([])
8659 deque([8673, 8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9664
878
999999999 deque([])
8673 deque([8674, 8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9665
879
999999999 deque([])
8674 deque([8694, 8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9685
880
999999999 deque([])
8694 deque([8699, 8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9690
881
999999999 deque([])
8699 deque([8704, 8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9695
882
999999999 deque([])
8704 deque([8707, 8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9698
883
999999999 deque([])
8707 deque([8710, 8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9701
884
999999999 deque([])
8710 deque([8720, 8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9711
885
999999999 deque([])
8720 deque([8721, 8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9712
886
999999999 deque([])
8721 deque([8736, 8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9727
887
999999999 deque([])
8736 deque([8750, 8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9741
888
999999999 deque([])
8750 deque([8759, 8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9750
889
999999999 deque([])
8759 deque([8763, 8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9754
890
999999999 deque([])
8763 deque([8788, 8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9779
891
999999999 deque([])
8788 deque([8832, 8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9823
892
999999999 deque([])
8832 deque([8842, 8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9833
893
999999999 deque([])
8842 deque([8861, 8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9852
894
999999999 deque([])
8861 deque([8862, 8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9853
895
999999999 deque([])
8862 deque([8863, 8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9854
896
999999999 deque([])
8863 deque([8871, 8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9862
897
999999999 deque([])
8871 deque([8874, 8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9865
898
999999999 deque([])
8874 deque([8892, 8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9883
899
999999999 deque([])
8892 deque([8901, 8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9892
900
999999999 deque([])
8901 deque([8912, 8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9903
901
999999999 deque([])
8912 deque([8920, 8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9911
902
999999999 deque([])
8920 deque([8931, 8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9922
903
999999999 deque([])
8931 deque([8972, 8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9963
904
999999999 deque([])
8972 deque([8977, 8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9968
905
999999999 deque([])
8977 deque([8986, 8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9977
906
999999999 deque([])
8986 deque([8989, 9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9980
907
999999999 deque([])
8989 deque([9008, 9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
9999
908
999999999 deque([])
9008 deque([9009, 9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10000
909
999999999 deque([])
9009 deque([9027, 9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10018
910
999999999 deque([])
9027 deque([9036, 9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10027
911
999999999 deque([])
9036 deque([9042, 9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10033
912
999999999 deque([])
9042 deque([9043, 9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10034
913
999999999 deque([])
9043 deque([9059, 9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10050
914
999999999 deque([])
9059 deque([9062, 9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10053
915
999999999 deque([])
9062 deque([9064, 9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10055
916
999999999 deque([])
9064 deque([9089, 9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10080
917
999999999 deque([])
9089 deque([9103, 9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10094
918
999999999 deque([])
9103 deque([9110, 9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10101
919
999999999 deque([])
9110 deque([9123, 9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10114
920
999999999 deque([])
9123 deque([9128, 9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10119
921
999999999 deque([])
9128 deque([9134, 9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10125
922
999999999 deque([])
9134 deque([9141, 9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10132
923
999999999 deque([])
9141 deque([9147, 9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10138
924
999999999 deque([])
9147 deque([9148, 9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10139
925
999999999 deque([])
9148 deque([9158, 9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10149
926
999999999 deque([])
9158 deque([9160, 9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10151
927
999999999 deque([])
9160 deque([9163, 9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10154
928
999999999 deque([])
9163 deque([9173, 9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10164
929
999999999 deque([])
9173 deque([9180, 9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10171
930
999999999 deque([])
9180 deque([9196, 9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10187
931
999999999 deque([])
9196 deque([9203, 9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10194
932
999999999 deque([])
9203 deque([9209, 9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10200
933
999999999 deque([])
9209 deque([9216, 9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10207
934
999999999 deque([])
9216 deque([9224, 9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10215
935
999999999 deque([])
9224 deque([9249, 9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10240
936
999999999 deque([])
9249 deque([9262, 9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10253
937
999999999 deque([])
9262 deque([9290, 9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10281
938
999999999 deque([])
9290 deque([9291, 9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10282
939
999999999 deque([])
9291 deque([9294, 9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10285
940
999999999 deque([])
9294 deque([9306, 9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10297
941
999999999 deque([])
9306 deque([9325, 9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10316
942
999999999 deque([])
9325 deque([9341, 9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10332
943
999999999 deque([])
9341 deque([9354, 9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10345
944
999999999 deque([])
9354 deque([9358, 9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10349
945
999999999 deque([])
9358 deque([9359, 9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10350
946
999999999 deque([])
9359 deque([9368, 9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10359
947
999999999 deque([])
9368 deque([9371, 9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10362
948
999999999 deque([])
9371 deque([9375, 9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10366
949
999999999 deque([])
9375 deque([9376, 9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10367
950
999999999 deque([])
9376 deque([9381, 9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10372
951
999999999 deque([])
9381 deque([9397, 9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10388
952
999999999 deque([])
9397 deque([9399, 9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10390
953
999999999 deque([])
9399 deque([9402, 9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10393
954
999999999 deque([])
9402 deque([9468, 9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10459
955
999999999 deque([])
9468 deque([9486, 9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10477
956
999999999 deque([])
9486 deque([9499, 9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10490
957
999999999 deque([])
9499 deque([9504, 9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10495
958
999999999 deque([])
9504 deque([9514, 9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10505
959
999999999 deque([])
9514 deque([9517, 9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10508
960
999999999 deque([])
9517 deque([9544, 9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10535
961
999999999 deque([])
9544 deque([9567, 9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10558
962
999999999 deque([])
9567 deque([9568, 9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10559
963
999999999 deque([])
9568 deque([9571, 9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10562
964
999999999 deque([])
9571 deque([9572, 9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10563
965
999999999 deque([])
9572 deque([9580, 9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10571
966
999999999 deque([])
9580 deque([9586, 9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10577
967
999999999 deque([])
9586 deque([9597, 9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10588
968
999999999 deque([])
9597 deque([9601, 9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10592
969
999999999 deque([])
9601 deque([9610, 9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10601
970
999999999 deque([])
9610 deque([9658, 9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10649
971
999999999 deque([])
9658 deque([9719, 9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10710
972
999999999 deque([])
9719 deque([9721, 9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10712
973
999999999 deque([])
9721 deque([9734, 9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10725
974
999999999 deque([])
9734 deque([9735, 9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10726
975
999999999 deque([])
9735 deque([9741, 9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10732
976
999999999 deque([])
9741 deque([9759, 9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10750
977
999999999 deque([])
9759 deque([9771, 9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10762
978
999999999 deque([])
9771 deque([9773, 9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10764
979
999999999 deque([])
9773 deque([9776, 9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10767
980
999999999 deque([])
9776 deque([9788, 9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10779
981
999999999 deque([])
9788 deque([9789, 9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10780
982
999999999 deque([])
9789 deque([9799, 9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10790
983
999999999 deque([])
9799 deque([9809, 9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10800
984
999999999 deque([])
9809 deque([9812, 9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10803
985
999999999 deque([])
9812 deque([9831, 9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10822
986
999999999 deque([])
9831 deque([9839, 9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10830
987
999999999 deque([])
9839 deque([9840, 9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10831
988
999999999 deque([])
9840 deque([9851, 9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10842
989
999999999 deque([])
9851 deque([9867, 9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10858
990
999999999 deque([])
9867 deque([9870, 9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10861
991
999999999 deque([])
9870 deque([9892, 9898, 9905, 9912, 9914, 9923, 9934, 9980])
10883
992
999999999 deque([])
9892 deque([9898, 9905, 9912, 9914, 9923, 9934, 9980])
10889
993
999999999 deque([])
9898 deque([9905, 9912, 9914, 9923, 9934, 9980])
10896
994
999999999 deque([])
9905 deque([9912, 9914, 9923, 9934, 9980])
10903
995
999999999 deque([])
9912 deque([9914, 9923, 9934, 9980])
10905
996
999999999 deque([])
9914 deque([9923, 9934, 9980])
10914
997
999999999 deque([])
9923 deque([9934, 9980])
10925
998
999999999 deque([])
9934 deque([9980])
10971 999