kpriyanshu256/MultiTabQA-multitable_pretraining-Salesforce-codet5-base_train-latex-117000

input_ids sequencelengths 1 1	attention_mask sequencelengths 1 1	labels sequencelengths 1 1
[ [ 1, 4025, 11152, 12, 88, 21, 18, 25090, 350, 3631, 268, 22, 18, 25737, 350, 628, 14844, 487, 268, 21, 1233, 15469, 487, 268, 22, 603, 268, 21, 18, 25737, 350, 273, 268, 22, 18, 25737, 350, 1625, 2077, 480, 596, 8820, 471, 508, 273, 279, 1468, 69, 9978, 83, 578, 14844, 350, 273, 3847, 26, 411, 2121, 67, 529, 34, 294, 14844, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 14844, 350, 473, 2077, 473, 15469, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 364, 5348, 2973, 358, 23486, 732, 12814, 624, 1846, 473, 404, 1736, 203, 21, 473, 576, 473, 26503, 87, 358, 326, 17662, 473, 576, 1736, 203, 22, 473, 890, 473, 3127, 2656, 471, 23578, 473, 576, 1736, 203, 23, 473, 1059, 473, 2231, 1915, 506, 23486, 473, 404, 1736, 203, 24, 473, 1381, 473, 5446, 5945, 473, 890, 1736, 203, 25, 473, 1666, 473, 525, 346, 2423, 12720, 293, 737, 473, 1059, 1736, 203, 26, 473, 2371, 473, 5853, 292, 2136, 473, 1381, 1736, 203, 27, 473, 1725, 473, 21983, 1224, 6969, 392, 538, 473, 1666, 1736, 203, 28, 473, 2468, 473, 6599, 87, 5100, 454, 26433, 635, 12792, 276, 8996, 87, 473, 2371, 1736, 203, 29, 473, 1728, 473, 20232, 7441, 80, 836, 473, 1725, 1736, 203, 2163, 473, 4648, 473, 596, 434, 431, 398, 473, 1725, 1736, 203, 2499, 473, 2593, 473, 1473, 2196, 270, 14190, 4101, 473, 2468, 1736, 203, 2138, 473, 5958, 473, 326, 3796, 434, 324, 330, 715, 12731, 31698, 473, 1728, 1736, 203, 3437, 473, 5045, 473, 524, 2894, 76, 355, 284, 20317, 329, 324, 266, 6046, 7919, 8429, 5, 306, 2251, 71, 404, 65, 473, 4648, 1736, 203, 3461, 473, 4711, 473, 524, 2894, 76, 355, 284, 20317, 329, 324, 266, 6046, 7919, 8429, 5, 306, 2251, 71, 576, 65, 473, 4648, 1736, 203, 3600, 473, 2872, 473, 7721, 272, 19364, 421, 473, 2593, 1736, 203, 2313, 473, 8043, 473, 7721, 272, 19364, 421, 6626, 18, 1059, 261, 2764, 2440, 13, 473, 2593, 1736, 203, 4033, 473, 6549, 473, 1417, 1056, 473, 5958, 1736, 203, 2643, 473, 5342, 473, 19028, 1706, 341, 329, 7459, 473, 5045, 1736, 203, 3657, 473, 4200, 473, 326, 3796, 434, 324, 29017, 3058, 93, 300, 326, 312, 737, 17327, 1849, 473, 4711, 1736, 203, 3462, 473, 9035, 473, 675, 82, 2414, 1131, 3395, 473, 2872, 1736, 203, 5340, 473, 11201, 473, 1427, 94, 267, 15008, 849, 697, 18528, 331, 20593, 473, 2872, 1736, 203, 3787, 473, 10213, 473, 1131, 3395, 5356, 280, 1155, 473, 8043, 1736, 203, 4366, 473, 4248, 473, 10073, 303, 71, 14776, 3771, 1155, 473, 6549, 1736, 203, 3247, 473, 6969, 473, 5248, 17310, 69, 18528, 3474, 538, 473, 6549, 1736, 203, 2947, 473, 10659, 473, 1721, 132, 101, 131, 123, 334, 10764, 5874, 90, 306, 16472, 65, 473, 5342, 1736, 203, 5558, 473, 12732, 473, 7504, 2486, 1073, 2752, 300, 11076, 473, 5342, 1736, 203, 5324, 473, 9131, 473, 9583, 293, 376, 69, 473, 4200, 1736, 203, 6030, 473, 12899, 473, 1740, 132, 101, 131, 107, 324, 9795, 1155, 4044, 21, 473, 9035, 1736, 203, 5540, 473, 5196, 473, 7129, 71, 8856, 306, 2251, 71, 404, 65, 306, 16472, 65, 473, 11201, 1736, 203, 5082, 473, 8231, 473, 324, 5409, 284, 22498, 473, 10213, 1736, 203, 6938, 473, 3847, 473, 276, 1303, 842, 287, 4044, 21, 473, 9035, 1736, 203, 1578, 473, 13159, 473, 462, 737, 473, 6555, 1736, 203, 3707, 473, 13438, 473, 462, 737, 473, 6555, 1736, 203, 5026, 473, 13191, 473, 314, 297, 410, 7290, 18, 261, 2251, 71, 404, 13, 473, 6437, 1736, 203, 4763, 473, 6580, 473, 18825, 395, 11076, 6072, 473, 21119, 1736, 203, 5718, 473, 18091, 473, 18825, 395, 417, 1054, 473, 18106, 1736, 203, 6418, 473, 18012, 473, 3904, 485, 434, 326, 290, 750, 473, 15935, 1736, 203, 7414, 473, 16977, 473, 29553, 2240, 15173, 473, 22431, 1736, 203, 5520, 473, 8063, 473, 1368, 326, 9052, 473, 21483, 1736, 203, 7132, 473, 20170, 473, 1791, 407, 10382, 538, 473, 13850, 1736, 203, 9803, 473, 14856, 473, 1131, 3395, 5356, 132, 101, 131, 116, 19263, 473, 15981, 1736, 203, 9452, 473, 21193, 473, 5028, 277, 2835, 326, 727, 356, 24596, 306, 2251, 71, 404, 65, 473, 17066, 1736, 203, 8942, 473, 13291, 473, 11640, 3087, 1403, 305, 77, 306, 2251, 71, 404, 65, 473, 11201, 1736, 203, 6334, 473, 12292, 473, 272, 2536, 345, 443, 570, 1118, 83, 4044, 21, 473, 9035, 1736, 203, 7950, 473, 17077, 473, 2240, 18757, 3766, 473, 14995, 1736, 203, 8749, 473, 17495, 473, 326, 3796, 434, 1675, 11310, 2351, 473, 18091, 1736, 203, 9462, 473, 9934, 473, 326, 18518, 2001, 312, 1449, 302, 842, 291, 306, 2251, 71, 404, 65, 473, 23797, 1736, 203, 8875, 473, 17160, 473, 326, 18518, 2001, 312, 1449, 302, 842, 291, 306, 2251, 71, 576, 65, 473, 23797, 1736, 203, 7616, 473, 6437, 473, 326, 727, 356, 24596, 261, 2251, 71, 576, 13, 473, 17066, 1736, 203, 3361, 473, 21119, 473, 731, 392, 11, 3179, 473, 20963, 1736, 203, 10593, 473, 18106, 473, 331, 267, 132, 101, 131, 260, 71, 8384, 443, 312, 10610, 281, 300, 6111, 1800, 73, 473, 16647, 1736, 203, 9401, 473, 15935, 473, 331, 11142, 281, 741, 312, 5733, 473, 9035, 1736, 203, 8643, 473, 22431, 473, 12227, 3711, 16, 6626, 18, 404, 473, 22997, 1736, 203, 6564, 473, 21483, 473, 12227, 3711, 16, 6626, 18, 576, 473, 22997, 1736, 203, 2539, 473, 13850, 473, 276, 132, 101, 131, 99, 1049, 1155, 415, 749, 300, 276, 790, 132, 101, 131, 105, 132, 101, 131, 101, 83, 6111, 1800, 73, 306, 2251, 71, 576, 65, 473, 28244, 1736, 203, 4313, 473, 15981, 473, 276, 132, 101, 131, 99, 1049, 1155, 415, 749, 300, 6111, 1800, 73, 306, 2251, 71, 404, 65, 473, 28244, 1736, 203, 10321, 473, 17066, 473, 12404, 268, 14725, 326, 8937, 473, 17066, 1736, 203, 8204, 473, 14995, 473, 4608, 5405, 1802, 316, 23486, 473, 17066, 1736, 203, 6162, 473, 4752, 473, 4452, 19067, 473, 17066, 1736, 203, 4848, 473, 17845, 473, 15516, 975, 310, 622, 3433, 1473, 2 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 88, 21, 18, 25090, 350, 13, 473, 15469, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 11290, 473, 24527, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 1056, 12, 88, 21, 18, 6874, 3631, 268, 22, 18, 334, 5913, 628, 21360, 487, 268, 21, 1233, 13953, 487, 268, 22, 603, 268, 21, 18, 13138, 273, 268, 22, 18, 13138, 1625, 10911, 1545, 3786, 578, 11152, 12, 334, 5913, 13, 411, 576, 411, 2121, 67, 529, 34, 294, 21360, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7501, 473, 2077, 473, 3286, 473, 2657, 280, 1736, 203, 64, 13138, 5345, 203, 20, 473, 13822, 473, 22296, 598, 326, 17064, 473, 5342, 5520, 473, 28873, 280, 284, 3269, 310, 1736, 203, 21, 473, 21822, 473, 10443, 341, 5913, 473, 5342, 4700, 473, 8244, 280, 908, 328, 5286, 345, 1736, 203, 22, 473, 1728, 23, 473, 326, 14190, 434, 26225, 473, 5342, 9222, 473, 721, 25925, 24754, 1736, 203, 23, 473, 21856, 473, 425, 18, 88, 18, 473, 5342, 11149, 473, 384, 16728, 14673, 292, 31317, 1736, 203, 24, 473, 23633, 473, 268, 305, 304, 335, 473, 23673, 27, 473, 525, 753, 5861, 264, 265, 1736, 203, 25, 473, 1728, 26, 473, 272, 3338, 9578, 473, 5342, 6418, 473, 225, 1736, 203, 26, 473, 1728, 27, 473, 16910, 473, 4044, 29, 473, 525, 753, 5861, 264, 265, 1736, 203, 27, 473, 23515, 473, 767, 24290, 434, 326, 13557, 419, 79, 473, 5342, 11861, 473, 384, 16728, 14673, 292, 31317, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 13953, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 10911, 473, 7501, 473, 24084, 473, 13953, 712, 1736, 203, 64, 13138, 5345, 203, 20, 473, 3786, 473, 13822, 473, 576, 473, 27853, 17, 1611, 17, 3787, 1736, 203, 21, 473, 3786, 473, 13822, 473, 1059, 473, 27853, 17, 1611, 17, 5324, 1736, 203, 22, 473, 26599, 473, 1728, 26, 473, 1059, 473, 225, 1736, 203, 23, 473, 4200, 23, 473, 1728, 23, 473, 576, 473, 27853, 17, 1611, 17, 3462, 1736, 203, 24, 473, 4200, 23, 473, 23515, 473, 1059, 473, 27853, 17, 1611, 17, 2138, 1736, 203, 25, 473, 4200, 23, 473, 23515, 473, 576, 473, 27853, 17, 1611, 17, 5082, 1736, 203, 26, 473, 11492, 473, 13822, 473, 890, 473, 27853, 17, 1611, 17, 5908, 1736, 203, 27, 473, 4200, 25, 473, 1728, 23, 473, 890, 473, 27853, 17, 1611, 17, 5324, 1736, 203, 28, 473, 4200, 25, 473, 21856, 473, 576, 473, 27853, 17, 1611, 17, 3787, 1736, 203, 29, 473, 4200, 25, 473, 23515, 473, 1059, 473, 225, 1736, 203, 2163, 473, 4200, 26, 473, 1728, 27, 473, 890, 473, 27853, 17, 1611, 17, 3600, 1736, 203, 2499, 473, 4200, 26, 473, 1728, 26, 473, 1381, 473, 27853, 17, 1611, 17, 3657, 1736, 203, 2138, 473, 4200, 27, 473, 1728, 27, 473, 1381, 473, 27853, 17, 1611, 17, 3462, 1736, 203, 3437, 473, 4200, 28, 473, 21856, 473, 890, 473, 27853, 17, 1611, 17, 3103, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1056, 12, 88, 21, 18, 6874, 13, 473, 24084, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5045, 473, 576, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 1131, 12, 3994, 3631, 2142, 12, 28204, 1371, 67, 350, 13, 628, 18551, 1371, 1625, 618, 273, 3238, 578, 7324, 480, 1059, 451, 7324, 578, 18551, 1371, 480, 293, 318, 9795, 1395, 18551, 1371, 578, 18551, 1371, 67, 350, 273, 404, 578, 2117, 480, 24338, 355, 18160, 16, 366, 2219, 69, 2835, 7812, 777, 2027, 1131, 12, 3994, 3631, 2142, 12, 28204, 1371, 67, 350, 13, 628, 18551, 1371, 1625, 2117, 480, 525, 581, 485, 69, 16, 1547, 5322, 1155, 411, 2121, 67, 529, 34, 294, 18551, 1371, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 18551, 1371, 67, 350, 473, 7324, 473, 18551, 1371, 473, 2117, 473, 618, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 3846, 18639, 485, 275, 473, 1158, 292, 28662, 930, 814, 18551, 1371, 473, 24338, 355, 18160, 16, 366, 2219, 69, 2835, 473, 1071, 1736, 203, 21, 473, 576, 473, 404, 334, 17, 23, 13623, 7324, 473, 384, 18, 284, 2450, 71, 291, 1551, 291, 77, 473, 525, 581, 485, 69, 16, 1547, 5322, 1155, 473, 3238, 276, 421, 1415, 1736, 203, 22, 473, 890, 473, 1059, 451, 7324, 473, 919, 930, 814, 18551, 1371, 312, 319, 24688, 8743, 473, 525, 581, 485, 69, 16, 1547, 5322, 1155, 473, 1071, 1736, 203, 23, 473, 1059, 473, 1381, 451, 17, 2138, 451, 7324, 473, 293, 318, 9795, 1395, 18551, 1371, 473, 24338, 355, 18160, 16, 366, 2219, 69, 2835, 473, 3238, 1736, 203, 24, 473, 1381, 473, 12186, 4728, 163, 227, 246, 87, 556, 17125, 479, 3286, 473, 9145, 6392, 287, 645, 298, 908, 473, 22148, 7603, 19880, 16, 1443, 430, 14245, 1155, 473, 3238, 1736, 203, 25, 473, 1666, 473, 525, 318, 9659, 163, 227, 246, 87, 275, 9659, 3286, 473, 645, 3592, 1155, 640, 6760, 560, 473, 394, 677, 778, 12797, 473, 3238, 1736, 203, 26, 473, 2371, 473, 645, 298, 908, 473, 17895, 90, 1060, 328, 2219, 18551, 1371, 473, 276, 2536, 5404, 16, 8039, 497, 407, 278, 3428, 473, 3238, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 18551, 1371, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 18551, 1371, 67, 350, 473, 7324, 473, 18551, 1371, 473, 2117, 473, 618, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 3846, 18639, 485, 275, 473, 1158, 292, 28662, 930, 814, 18551, 1371, 473, 24338, 355, 18160, 16, 366, 2219, 69, 2835, 473, 1071, 1736, 203, 21, 473, 576, 473, 404, 334, 17, 23, 13623, 7324, 473, 384, 18, 284, 2450, 71, 291, 1551, 291, 77, 473, 525, 581, 485, 69, 16, 1547, 5322, 1155, 473, 3238, 276, 421, 1415, 1736, 203, 22, 473, 890, 473, 1059, 451, 7324, 473, 919, 930, 814, 18551, 1371, 312, 319, 24688, 8743, 473, 525, 581, 485, 69, 16, 1547, 5322, 1155, 473, 1071, 1736, 203, 23, 473, 1059, 473, 1381, 451, 17, 2138, 451, 7324, 473, 293, 318, 9795, 1395, 18551, 1371, 473, 24338, 355, 18160, 16, 366, 2219, 69, 2835, 473, 3238, 1736, 203, 24, 473, 1381, 473, 12186, 4728, 163, 227, 246, 87, 556, 17125, 479, 3286, 473, 9145, 6392, 287, 645, 298, 908, 473, 22148, 7603, 19880, 16, 1443, 430, 14245, 1155, 473, 3238, 1736, 203, 25, 473, 1666, 473, 525, 318, 9659, 163, 227, 246, 87, 275, 9659, 3286, 473, 645, 3592, 1155, 640, 6760, 560, 473, 394, 677, 778, 12797, 473, 3238, 1736, 203, 26, 473, 2371, 473, 645, 298, 908, 473, 17895, 90, 1060, 328, 2219, 18551, 1371, 473, 276, 2536, 5404, 16, 8039, 497, 407, 278, 3428, 473, 3238, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 3994, 13, 473, 2142, 12, 28204, 1371, 67, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 334, 17, 23, 13623, 7324, 473, 9131, 1736, 203, 21, 473, 1381, 451, 17, 2138, 451, 7324, 473, 10213, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 325, 303, 67, 350, 16, 508, 67, 2722, 16, 1216, 16, 17057, 67, 9082, 16, 7291, 67, 350, 16, 3119, 16, 443, 421, 67, 6874, 16, 17057, 67, 2881, 628, 7291, 1625, 3119, 405, 404, 7301, 471, 7129, 1734, 67, 350, 273, 1825, 92, 2414, 1611, 578, 508, 67, 2722, 273, 394, 832, 2196, 578, 17057, 67, 14240, 273, 767, 90, 773, 31836, 578, 325, 303, 67, 350, 480, 324, 1054, 72, 15168, 578, 443, 12885, 480, 5342, 8898, 17, 3028, 17, 2163, 578, 17057, 67, 2019, 273, 12837, 578, 1216, 480, 436, 471, 443, 421, 67, 9082, 480, 225, 578, 2072, 480, 26103, 578, 17057, 67, 6874, 1545, 5342, 4630, 578, 17057, 67, 7496, 405, 2371, 471, 508, 67, 10822, 480, 12814, 90, 23671, 525, 2584, 471, 17057, 67, 9082, 273, 584, 69, 7812, 2027, 325, 303, 67, 350, 16, 508, 67, 2722, 16, 1216, 16, 17057, 67, 9082, 16, 7291, 67, 350, 16, 3119, 16, 443, 421, 67, 6874, 16, 17057, 67, 2881, 628, 7291, 1625, 7291, 67, 350, 480, 314, 737, 30952, 1611, 471, 1216, 480, 436, 471, 443, 421, 67, 7496, 273, 225, 471, 443, 421, 67, 6874, 273, 225, 471, 17057, 67, 9082, 480, 584, 69, 471, 17057, 67, 7496, 1648, 2468, 578, 443, 421, 67, 14240, 273, 721, 343, 7654, 578, 17057, 67, 14240, 480, 276, 4610, 292, 471, 17057, 67, 2019, 480, 3474, 578, 727, 67, 13957, 273, 12461, 17, 2163, 17, 4630, 578, 2072, 273, 18821, 578, 443, 421, 67, 9082, 480, 584, 69, 471, 508, 67, 3645, 273, 324, 547, 471, 508, 67, 10822, 480, 14961, 81, 1434, 328, 2439, 93, 471, 17057, 67, 2881, 411, 4248, 471, 443, 421, 67, 2019, 273, 225, 471, 324, 2323, 480, 328, 471, 7129, 1734, 67, 350, 273, 3311, 70, 6516, 1611, 471, 508, 67, 2722, 480, 272, 304, 343, 6664, 578, 325, 303, 67, 350, 480, 23432, 1100, 15168, 578, 443, 421, 67, 2881, 273, 225, 411, 2121, 67, 529, 34, 294, 7291, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 17057, 67, 6874, 473, 17057, 67, 7496, 473, 17057, 67, 2881, 473, 17057, 67, 9082, 473, 17057, 67, 2019, 473, 17057, 67, 14240, 473, 443, 421, 67, 6874, 473, 443, 421, 67, 7496, 473, 443, 421, 67, 2881, 473, 443, 421, 67, 9082, 473, 443, 421, 67, 2019, 473, 443, 421, 67, 14240, 473, 508, 67, 3645, 473, 508, 67, 2722, 473, 508, 67, 10822, 473, 3119, 473, 2072, 473, 324, 2323, 473, 1216, 473, 443, 12885, 473, 727, 67, 13957, 473, 325, 303, 67, 350, 473, 7129, 1734, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 279, 14727, 2414, 1611, 473, 5342, 11861, 473, 2593, 473, 12732, 473, 584, 69, 473, 1825, 473, 5545, 502, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 302, 842, 350, 473, 279, 14727, 2540, 473, 302, 842, 350, 777, 304, 473, 576, 3462, 473, 18821, 473, 436, 473, 436, 473, 4044, 24, 17, 3028, 17, 7677, 473, 12461, 17, 6840, 17, 4366, 473, 279, 297, 449, 11664, 473, 279, 14727, 2414, 1611, 1736, 203, 21, 473, 279, 297, 265, 3395, 1611, 473, 5342, 5026, 473, 576, 473, 1381, 473, 584, 69, 473, 524, 473, 13411, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 366, 2304, 473, 279, 297, 265, 473, 366, 275, 1176, 437, 89, 291, 473, 9259, 473, 19387, 473, 436, 473, 436, 473, 5342, 6564, 17, 3028, 17, 3437, 473, 5342, 6669, 17, 2163, 17, 4630, 473, 279, 14349, 76, 15168, 473, 279, 297, 265, 3395, 1611, 1736, 203, 22, 473, 279, 297, 265, 869, 1611, 473, 5342, 5520, 473, 1725, 473, 1381, 473, 584, 69, 473, 524, 473, 13411, 473, 5342, 5193, 473, 1725, 473, 2872, 473, 584, 69, 473, 18812, 473, 622, 80, 27677, 473, 358, 7020, 1385, 473, 279, 297, 265, 473, 358, 7020, 1385, 884, 73, 473, 5342, 20, 473, 18821, 473, 436, 473, 436, 473, 5342, 8898, 17, 3028, 17, 2163, 473, 5342, 11212, 17, 5908, 17, 5558, 473, 279, 297, 352, 15168, 473, 279, 297, 265, 869, 1611, 1736, 203, 23, 473, 279, 448, 2896, 1611, 473, 5342, 6564, 473, 2468, 473, 1725, 473, 584, 69, 473, 3474, 473, 578, 726, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 2727, 473, 279, 448, 473, 2727, 287, 72, 341, 16607, 301, 473, 5342, 20, 473, 18821, 473, 436, 473, 436, 473, 5342, 4700, 17, 8642, 17, 5558, 473, 23673, 20, 17, 2163, 17, 4630, 473, 279, 8905, 11664, 473, 279, 448, 2896, 1611, 1736, 203, 24, 473, 1223, 361, 304, 1611, 473, 5342, 9060, 473, 1725, 473, 6969, 473, 584, 69, 473, 1183, 473, 293, 18811, 506, 497, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 471, 93, 473, 1223, 361, 473, 11087, 641, 83, 471, 455, 473, 404, 5193, 473, 26103, 473, 328, 473, 328, 473, 4044, 21, 17, 5908, 17, 2163, 473, 27212, 17, 3028, 17, 3437, 473, 1223, 16524, 11664, 473, 1223, 361, 304, 1611, 1736, 203, 25, 473, 1223, 361, 3030, 1611, 473, 5342, 7140, 473, 2593, 473, 8043, 473, 302, 18, 86, 18, 473, 7125, 24137, 13848, 473, 7125, 24137, 13848, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 284, 8865, 28630, 473, 1223, 361, 473, 284, 8865, 28630, 392, 1917, 1594, 473, 576, 3462, 473, 26103, 473, 328, 473, 328, 473, 18965, 17, 8642, 17, 6030, 473, 12461, 17, 2163, 17, 4630, 473, 1223, 361, 74, 11664, 473, 1223, 361, 3030, 1611, 1736, 203, 26, 473, 1223, 361, 8302, 83, 1611, 473, 6549, 6564, 473, 4648, 473, 1059, 473, 584, 69, 473, 6790, 473, 1844, 330, 361, 292, 844, 1155, 473, 5342, 6260, 473, 1381, 473, 8043, 473, 584, 69, 473, 290, 78, 473, 293, 2558, 1917, 473, 525, 22223, 473, 1223, 361, 1385, 473, 525, 22223, 341, 18, 473, 20217, 473, 19387, 473, 436, 473, 436, 473, 6549, 5877, 17, 3028, 17, 5558, 2 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 325, 303, 67, 350, 473, 508, 67, 2722, 473, 1216, 473, 17057, 67, 9082, 473, 7291, 67, 350, 473, 3119, 473, 443, 421, 67, 6874, 473, 17057, 67, 2881, 1736, 203, 64, 13138, 5345, 203, 20, 473, 225, 473, 324, 1165, 473, 328, 473, 584, 69, 473, 324, 1165, 2894, 2733, 473, 404, 2539, 473, 23673, 21, 473, 8043, 1736, 203, 21, 473, 225, 473, 324, 26253, 473, 436, 473, 584, 69, 473, 324, 26253, 354, 2733, 473, 24262, 473, 5342, 9222, 473, 10213, 1736, 203, 22, 473, 225, 473, 8280, 292, 402, 473, 225, 473, 584, 69, 473, 8280, 351, 83, 2733, 473, 225, 473, 5342, 3787, 473, 10659, 1736, 203, 23, 473, 225, 473, 7035, 91, 4083, 473, 225, 473, 584, 69, 473, 7035, 91, 287, 2733, 473, 225, 473, 6549, 9975, 473, 8043, 1736, 203, 24, 473, 225, 473, 462, 361, 91, 1200, 473, 225, 473, 2836, 329, 417, 310, 9859, 473, 462, 361, 91, 580, 2733, 473, 225, 473, 5342, 6840, 473, 1381, 1736, 203, 25, 473, 225, 473, 462, 464, 749, 473, 225, 473, 584, 69, 473, 462, 464, 3395, 2733, 473, 225, 473, 23673, 21, 473, 5045, 1736, 203, 26, 473, 225, 473, 1149, 80, 395, 265, 473, 328, 473, 584, 69, 473, 1149, 383, 87, 2733, 473, 4044, 473, 5342, 6564, 473, 5045, 1736, 203, 27, 473, 225, 473, 1825, 4063, 473, 328, 473, 584, 69, 473, 1825, 1306, 304, 2733, 473, 576, 3462, 473, 5342, 9803, 473, 4248, 1736, 203, 28, 473, 225, 473, 302, 464, 5404, 473, 436, 473, 584, 69, 473, 302, 464, 86, 354, 2733, 473, 404, 7301, 473, 23673, 24, 473, 8231, 1736, 203, 29, 473, 225, 473, 2548, 473, 436, 473, 584, 69, 473, 2548, 298, 2733, 473, 404, 7301, 473, 23673, 25, 473, 5196, 1736, 203, 2163, 473, 225, 473, 4314, 76, 17626, 473, 436, 473, 276, 373, 69, 473, 4314, 76, 17288, 2733, 473, 225, 473, 5342, 11212, 473, 6969, 1736, 203, 2499, 473, 225, 473, 302, 266, 93, 74, 5567, 473, 225, 473, 314, 1035, 2273, 473, 302, 266, 93, 74, 12124, 2733, 473, 225, 473, 5342, 1578, 473, 10213, 1736, 203, 2138, 473, 225, 473, 284, 29811, 473, 328, 473, 584, 69, 473, 284, 669, 73, 13266, 2733, 473, 24262, 473, 5342, 8285, 473, 2593, 1736, 203, 3437, 473, 225, 473, 284, 29811, 473, 436, 473, 584, 69, 473, 284, 29811, 89, 2733, 473, 4044, 473, 5342, 5082, 473, 8043, 1736, 203, 3461, 473, 225, 473, 284, 354, 24355, 473, 225, 473, 225, 473, 284, 354, 8489, 908, 2733, 473, 225, 473, 5342, 3437, 473, 2371, 1736, 203, 3600, 473, 225, 473, 3812, 1200, 473, 225, 473, 584, 69, 473, 3812, 1200, 617, 2733, 473, 225, 473, 5342, 8285, 473, 5342, 1736, 203, 2313, 473, 225, 473, 314, 495, 816, 473, 436, 473, 584, 69, 473, 314, 495, 2048, 30952, 2733, 473, 576, 3462, 473, 5342, 9462, 473, 9035, 1736, 203, 4033, 473, 225, 473, 314, 1449, 473, 225, 473, 584, 69, 473, 314, 1449, 91, 69, 2733, 473, 225, 473, 5342, 7235, 473, 9131, 1736, 203, 2643, 473, 225, 473, 314, 737, 1200, 473, 328, 473, 584, 69, 473, 314, 330, 3169, 69, 2733, 473, 6549, 25, 473, 225, 473, 11201, 1736, 203, 3657, 473, 225, 473, 7936, 473, 436, 473, 584, 69, 473, 7936, 4840, 2733, 473, 404, 2539, 473, 5342, 6418, 473, 404, 1736, 203, 3462, 473, 225, 473, 17895, 5404, 473, 225, 473, 584, 69, 473, 17895, 566, 91, 77, 2733, 473, 225, 473, 5342, 11212, 473, 2872, 1736, 203, 5340, 473, 225, 473, 28703, 1434, 473, 225, 473, 584, 69, 473, 366, 4758, 303, 2733, 473, 225, 473, 225, 473, 10659, 1736, 203, 3787, 473, 225, 473, 366, 737, 473, 436, 473, 584, 69, 473, 366, 737, 347, 2733, 473, 404, 7301, 473, 5342, 10593, 473, 2593, 1736, 203, 4366, 473, 225, 473, 366, 332, 25925, 473, 225, 473, 584, 69, 473, 366, 332, 70, 359, 77, 2733, 473, 225, 473, 404, 5482, 22, 473, 10213, 1736, 203, 3247, 473, 225, 473, 525, 22223, 816, 473, 225, 473, 584, 69, 473, 525, 16699, 2387, 12124, 2733, 473, 225, 473, 5342, 6938, 473, 1381, 1736, 203, 2947, 473, 225, 473, 525, 22223, 816, 473, 436, 473, 584, 69, 473, 525, 16699, 2387, 78, 89, 2733, 473, 18478, 473, 5342, 6675, 473, 10659, 1736, 203, 5558, 473, 225, 473, 417, 89, 76, 82, 473, 225, 473, 584, 69, 473, 417, 89, 76, 82, 1075, 2733, 473, 225, 473, 4044, 27, 473, 9131, 1736, 203, 5324, 473, 225, 473, 19193, 291, 473, 225, 473, 584, 69, 473, 19193, 2547, 2733, 473, 225, 473, 5342, 6334, 473, 4200, 1736, 203, 6030, 473, 225, 473, 884, 265, 1060, 473, 328, 473, 584, 69, 473, 884, 265, 12941, 2733, 473, 6549, 25, 473, 23673, 27, 473, 1725, 1736, 203, 5540, 473, 225, 473, 328, 2466, 72, 473, 436, 473, 584, 69, 473, 328, 2466, 72, 1631, 2733, 473, 9259, 473, 5342, 1105, 473, 6969, 1736, 203, 5082, 473, 225, 473, 5318, 844, 671, 473, 225, 473, 584, 69, 473, 5318, 844, 11821, 2733, 473, 225, 473, 5342, 5877, 473, 890, 1736, 203, 6938, 473, 225, 473, 5318, 844, 671, 473, 225, 473, 584, 69, 473, 5318, 844, 298, 2733, 473, 225, 473, 20869, 473, 6969, 1736, 203, 1578, 473, 225, 473, 312, 484, 402, 473, 436, 473, 584, 69, 473, 312, 484, 73, 13266, 2733, 473, 4044, 473, 5342, 9222, 473, 12732, 1736, 203, 3707, 473, 225, 473, 3161, 30678, 473, 225, 473, 584, 69, 473, 3161, 298, 10241, 2733, 473, 225, 473, 5342, 11861, 473, 12732, 1736, 203, 5026, 473, 225, 473, 21247, 323, 94, 473, 436, 473, 276, 373, 69, 473, 21247, 323, 30952, 2733, 473, 4711, 22, 473, 5342, 6030, 473, 576, 1736, 203, 4763, 473, 225, 473, 320, 17784, 22534, 93, 473, 225, 473, 584, 69, 473, 8068, 454, 91, 69, 2733, 473, 225, 473, 5342, 7235, 473, 2468, 1736, 203, 5718, 473, 225, 473, 21400, 347, 94, 473, 225, 473, 584, 69, 473, 2 ] ]
[ [ 1, 4025, 884, 20910, 67, 350, 16, 3286, 16, 7291, 67, 350, 628, 7291, 67, 69, 2913, 67, 25911, 1625, 3143, 67, 91, 265, 411, 1728, 18, 20, 578, 7291, 67, 350, 273, 998, 10175, 566, 1611, 471, 3143, 67, 1896, 480, 1059, 8875, 471, 19588, 67, 3645, 273, 374, 1335, 2027, 884, 20910, 67, 350, 16, 3286, 16, 7291, 67, 350, 628, 27464, 1787, 1625, 1645, 1545, 374, 578, 2393, 405, 576, 578, 366, 411, 374, 471, 699, 273, 374, 578, 15407, 411, 374, 471, 314, 67, 350, 84, 273, 225, 471, 7291, 67, 350, 273, 998, 305, 947, 69, 1611, 471, 3286, 1545, 12461, 578, 14543, 411, 374, 578, 384, 474, 1648, 404, 471, 1427, 273, 2593, 471, 884, 20910, 67, 350, 480, 524, 471, 7138, 77, 480, 13291, 471, 5927, 67, 350, 273, 417, 5353, 578, 9834, 70, 273, 374, 578, 366, 17152, 273, 374, 578, 314, 411, 4200, 471, 9033, 273, 374, 471, 2873, 480, 225, 471, 1223, 273, 890, 471, 436, 1545, 26465, 471, 7129, 1545, 374, 411, 2121, 67, 529, 34, 294, 7291, 67, 69, 2913, 67, 25911, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 279, 2913, 67, 350, 473, 3286, 473, 884, 20910, 67, 350, 473, 7291, 67, 350, 473, 3143, 67, 91, 265, 473, 3143, 67, 1896, 473, 19588, 67, 3645, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6143, 677, 465, 75, 473, 5342, 4313, 473, 12931, 473, 364, 72, 3350, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 21, 473, 6143, 677, 465, 75, 473, 5342, 4313, 473, 12931, 473, 4447, 80, 291, 69, 1611, 473, 1059, 18, 20, 473, 2872, 473, 1059, 1736, 203, 22, 473, 6143, 677, 465, 75, 473, 5342, 4313, 473, 12931, 473, 394, 1559, 83, 1611, 473, 1728, 18, 20, 473, 2872, 473, 1728, 1736, 203, 23, 473, 6143, 677, 465, 75, 473, 5342, 4313, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 24, 473, 6143, 677, 465, 75, 473, 5342, 10321, 473, 12931, 473, 2727, 1527, 3211, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 25, 473, 6143, 677, 465, 75, 473, 5342, 10321, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 4711, 18, 20, 473, 2872, 473, 4711, 1736, 203, 26, 473, 6143, 677, 465, 75, 473, 5342, 8204, 473, 12931, 473, 324, 295, 3771, 73, 1611, 473, 890, 18, 20, 473, 2872, 473, 890, 1736, 203, 27, 473, 6143, 677, 465, 75, 473, 5342, 8204, 473, 12931, 473, 284, 566, 275, 1075, 1611, 473, 890, 18, 20, 473, 2872, 473, 890, 1736, 203, 28, 473, 6143, 677, 465, 75, 473, 5342, 8204, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 1059, 18, 20, 473, 2872, 473, 1059, 1736, 203, 29, 473, 6143, 677, 465, 75, 473, 5342, 8204, 473, 12931, 473, 268, 295, 298, 1075, 1611, 473, 1381, 18, 20, 473, 2872, 473, 1381, 1736, 203, 2163, 473, 6143, 677, 465, 75, 473, 5342, 6162, 473, 12931, 473, 525, 265, 403, 69, 3103, 473, 576, 18, 20, 473, 2872, 473, 576, 1736, 203, 2499, 473, 6143, 677, 465, 75, 473, 5342, 6162, 473, 12931, 473, 699, 2219, 1075, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 2138, 473, 6143, 677, 465, 75, 473, 5342, 6162, 473, 12931, 473, 341, 878, 4644, 69, 1611, 473, 5958, 18, 20, 473, 2872, 473, 5958, 1736, 203, 3437, 473, 6143, 677, 465, 75, 473, 5342, 4848, 473, 12931, 473, 23670, 75, 749, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 3461, 473, 6143, 677, 465, 75, 473, 5342, 4848, 473, 12931, 473, 328, 2219, 537, 1611, 473, 1725, 18, 20, 473, 2872, 473, 1725, 1736, 203, 3600, 473, 6143, 677, 465, 75, 473, 5342, 4848, 473, 12931, 473, 312, 4315, 304, 549, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 2313, 473, 6143, 677, 465, 75, 473, 5342, 4848, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 1059, 18, 20, 473, 2872, 473, 1059, 1736, 203, 4033, 473, 6143, 677, 465, 75, 473, 5342, 9498, 473, 12931, 473, 364, 72, 3350, 1611, 473, 2468, 18, 20, 473, 6549, 473, 2468, 1736, 203, 2643, 473, 6143, 677, 465, 75, 473, 5342, 9498, 473, 12931, 473, 328, 814, 4840, 1611, 473, 576, 18, 20, 473, 6549, 473, 576, 1736, 203, 3657, 473, 6143, 677, 465, 75, 473, 5342, 9498, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 1666, 18, 20, 473, 6549, 473, 1666, 1736, 203, 3462, 473, 6143, 677, 465, 75, 473, 5342, 8898, 473, 12931, 473, 10299, 87, 449, 83, 1611, 473, 5045, 18, 20, 473, 4200, 473, 5045, 1736, 203, 5340, 473, 6143, 677, 465, 75, 473, 5342, 8898, 473, 12931, 473, 293, 2453, 7358, 77, 3103, 473, 404, 18, 20, 473, 4200, 473, 404, 1736, 203, 3787, 473, 6143, 677, 465, 75, 473, 5342, 8898, 473, 12931, 473, 5405, 4491, 1075, 1611, 473, 404, 18, 20, 473, 4200, 473, 404, 1736, 203, 4366, 473, 6143, 677, 465, 75, 473, 5342, 8898, 473, 12931, 473, 272, 304, 617, 12333, 3103, 473, 1059, 18, 20, 473, 4200, 473, 1059, 1736, 203, 3247, 473, 6143, 677, 465, 75, 473, 5342, 4449, 473, 12931, 473, 417, 83, 696, 345, 69, 1611, 473, 4200, 18, 20, 473, 4200, 473, 4200, 1736, 203, 2947, 473, 6143, 677, 465, 75, 473, 5342, 1105, 473, 12931, 473, 3861, 71, 323, 1611, 473, 8043, 18, 20, 473, 4200, 473, 8043, 1736, 203, 5558, 473, 6143, 677, 465, 75, 473, 5342, 1105, 473, 12931, 473, 525, 484, 2069, 69, 1611, 473, 576, 18, 20, 473, 4200, 473, 576, 1736, 203, 5324, 473, 6143, 677, 465, 75, 473, 5342, 1105, 473, 12931, 473, 417, 83, 696, 345, 69, 1611, 473, 404, 18, 20, 473, 4200, 473, 404, 1736, 203, 6030, 473, 6143, 677, 465, 75, 473, 5342, 9222, 473, 12931, 473, 417, 83, 696, 345, 69, 1611, 473, 4200, 18, 20, 473, 4200, 473, 4200, 1736, 203, 5540, 473, 6143, 677, 465, 75, 473, 2 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 884, 20910, 67, 350, 473, 3286, 473, 7291, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 12931, 473, 5342, 8875, 473, 487, 76, 70, 1650, 1611, 1736, 203, 21, 473, 12931, 473, 5342, 8875, 473, 506, 1060, 908, 1611, 1736, 203, 22, 473, 12931, 473, 5342, 8875, 473, 5186, 1054, 383, 1611, 1736, 203, 23, 473, 12931, 473, 5342, 8875, 473, 7494, 1627, 77, 1611, 1736, 203, 24, 473, 12931, 473, 5342, 4313, 473, 364, 72, 3350, 1611, 1736, 203, 25, 473, 12931, 473, 5342, 4313, 473, 4447, 80, 291, 69, 1611, 1736, 203, 26, 473, 12931, 473, 5342, 4313, 473, 1694, 9795, 82, 91, 69, 1611, 1736, 203, 27, 473, 12931, 473, 5342, 10321, 473, 2727, 1527, 3211, 1611, 1736, 203, 28, 473, 12931, 473, 5342, 8204, 473, 324, 295, 3771, 73, 1611, 1736, 203, 29, 473, 12931, 473, 5342, 8204, 473, 284, 566, 275, 1075, 1611, 1736, 203, 2163, 473, 12931, 473, 5342, 8204, 473, 1694, 9795, 82, 91, 69, 1611, 1736, 203, 2499, 473, 12931, 473, 5342, 8204, 473, 268, 295, 298, 1075, 1611, 1736, 203, 2138, 473, 12931, 473, 5342, 6162, 473, 525, 265, 403, 69, 3103, 1736, 203, 3437, 473, 12931, 473, 5342, 6162, 473, 699, 2219, 1075, 1611, 1736, 203, 3461, 473, 12931, 473, 5342, 4848, 473, 23670, 75, 749, 1611, 1736, 203, 3600, 473, 12931, 473, 5342, 4848, 473, 328, 2219, 537, 1611, 1736, 203, 2313, 473, 12931, 473, 5342, 4848, 473, 312, 4315, 304, 549, 1611, 1736, 203, 4033, 473, 12931, 473, 5342, 4848, 473, 1694, 9795, 82, 91, 69, 1611, 1736, 203, 2643, 473, 12931, 473, 5342, 9498, 473, 364, 72, 3350, 1611, 1736, 203, 3657, 473, 12931, 473, 5342, 9498, 473, 328, 814, 4840, 1611, 1736, 203, 3462, 473, 12931, 473, 5342, 9498, 473, 1694, 9795, 82, 91, 69, 1611, 1736, 203, 5340, 473, 12931, 473, 5342, 8898, 473, 293, 2453, 7358, 77, 3103, 1736, 203, 3787, 473, 12931, 473, 5342, 8898, 473, 5405, 4491, 1075, 1611, 1736, 203, 4366, 473, 12931, 473, 5342, 8898, 473, 272, 304, 617, 12333, 3103, 1736, 203, 3247, 473, 12931, 473, 5342, 1105, 473, 525, 484, 2069, 69, 1611, 1736, 203, 2947, 473, 12931, 473, 5342, 1105, 473, 417, 83, 696, 345, 69, 1611, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 1056, 93, 67, 350, 628, 1056, 93, 1041, 635, 1056, 93, 67, 350, 411, 2121, 67, 529, 34, 294, 1056, 93, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1056, 93, 67, 350, 473, 1056, 93, 67, 529, 473, 11209, 473, 3144, 67, 710, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 3661, 1060, 473, 9035, 3784, 18, 20, 473, 302, 5340, 1736, 203, 21, 473, 576, 473, 324, 2390, 381, 479, 1056, 93, 473, 2468, 2787, 18, 20, 473, 302, 6840, 1736, 203, 22, 473, 890, 473, 645, 6598, 473, 26517, 3784, 18, 20, 473, 302, 3103, 1736, 203, 23, 473, 1059, 473, 312, 634, 1518, 473, 1725, 27, 6976, 18, 20, 473, 302, 5908, 1736, 203, 24, 473, 1381, 473, 312, 10903, 473, 30537, 713, 18, 20, 473, 302, 2499, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1056, 93, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 1736, 203, 21, 473, 576, 1736, 203, 22, 473, 890, 1736, 203, 23, 473, 1059, 1736, 203, 24, 473, 1381, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
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	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 88, 21, 18, 4161, 67, 350, 13, 473, 4362, 67, 3384, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2468, 18, 27, 7140, 27, 3461, 6030, 10321, 473, 2063, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 6382, 67, 10540, 628, 25937, 411, 2121, 67, 529, 34, 294, 25937, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 3410, 67, 350, 473, 1122, 67, 529, 473, 1142, 67, 529, 473, 19382, 473, 12797, 473, 919, 473, 3144, 67, 710, 473, 2699, 67, 2867, 473, 6382, 67, 10540, 473, 2484, 67, 2696, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 290, 10610, 473, 19514, 402, 473, 374, 30792, 7380, 94, 331, 737, 410, 279, 337, 18, 374, 3247, 473, 328, 911, 268, 1155, 473, 341, 291, 8559, 267, 473, 31007, 28275, 473, 328, 878, 82, 11861, 36, 8236, 18, 3341, 473, 404, 17, 9470, 22, 17, 5193, 25, 17, 1611, 2313, 92, 26, 1578, 4763, 473, 1059, 8285, 18, 29, 8285, 18, 8642, 5540, 1736, 203, 21, 473, 576, 473, 21723, 69, 473, 302, 373, 89, 1857, 473, 2593, 3028, 312, 8906, 3551, 1888, 279, 337, 18, 1728, 27, 473, 1756, 283, 1072, 301, 15347, 473, 16831, 1912, 1155, 473, 12292, 3247, 24, 473, 677, 79, 18387, 36, 8236, 18, 832, 473, 261, 27, 2733, 13, 4313, 23, 17, 3103, 4848, 92, 24, 6564, 473, 261, 27, 3787, 13, 6669, 28, 17, 6564, 5520, 92, 24, 5193, 1736, 203, 22, 473, 890, 473, 20138, 715, 82, 473, 384, 355, 2253, 31317, 473, 576, 4449, 25, 276, 1540, 715, 82, 886, 4167, 473, 4653, 266, 748, 70, 295, 17680, 473, 331, 1035, 1580, 473, 17896, 30792, 473, 366, 1100, 816, 18, 507, 522, 304, 36, 8236, 18, 832, 473, 2468, 2313, 18, 29, 6669, 18, 11290, 3672, 92, 3437, 7140, 21, 473, 9934, 21, 17, 8875, 23, 17, 29, 6840, 23, 92, 6418, 29, 5292, 1736, 203, 23, 473, 1059, 473, 9787, 473, 366, 301, 737, 473, 1666, 9975, 525, 835, 3528, 15299, 364, 2852, 473, 16430, 79, 407, 74, 295, 88, 473, 1183, 280, 350, 69, 473, 1725, 9036, 3028, 473, 13999, 18, 75, 671, 36, 8236, 18, 3341, 473, 404, 17, 23, 1578, 17, 5193, 29, 17, 3657, 6840, 473, 2371, 5520, 17, 26959, 17, 9060, 3103, 1736, 203, 24, 473, 1381, 473, 525, 16699, 1072, 473, 284, 31721, 473, 23797, 25652, 302, 28662, 292, 1027, 473, 328, 911, 1244, 319, 267, 473, 21435, 72, 581, 25441, 473, 1666, 15168, 29, 473, 998, 18688, 71, 581, 18, 81, 361, 265, 6582, 36, 8236, 18, 2758, 473, 261, 25, 6334, 13, 4630, 24, 17, 2313, 7301, 473, 404, 17, 26, 5558, 17, 23728, 17, 6669, 6162, 92, 2313, 10580, 1736, 203, 25, 473, 1666, 473, 417, 2486, 473, 436, 625, 13097, 473, 1381, 3657, 5026, 9787, 322, 292, 366, 6779, 280, 473, 328, 911, 5926, 30678, 70, 280, 4966, 473, 419, 452, 265, 69, 473, 8303, 5908, 473, 312, 3175, 834, 748, 69, 18, 2681, 736, 36, 8236, 18, 2758, 473, 890, 2643, 17, 6260, 22, 17, 9222, 9036, 473, 397, 7301, 12, 24, 13, 9975, 4033, 8778, 10395, 21, 1736, 203, 26, 473, 2371, 473, 801, 292, 1385, 473, 312, 1051, 94, 473, 4248, 4033, 417, 2091, 69, 609, 7638, 344, 279, 337, 18, 5045, 26, 473, 328, 911, 525, 275, 18538, 586, 18850, 473, 394, 93, 778, 473, 374, 6260, 6675, 473, 7603, 3027, 2733, 36, 8236, 18, 832, 473, 261, 6260, 28, 13, 2733, 27, 17, 6669, 5324, 473, 2593, 21, 18, 7414, 21, 18, 3707, 2313, 92, 9222, 4763, 1736, 203, 27, 473, 1725, 473, 10643, 28630, 473, 450, 76, 835, 69, 473, 15981, 7414, 22, 677, 669, 10911, 2852, 473, 24516, 279, 1222, 265, 473, 419, 79, 634, 345, 473, 20457, 23254, 473, 417, 20922, 264, 36, 8236, 18, 2758, 473, 374, 2643, 3103, 24, 7235, 5877, 28, 473, 261, 8285, 23, 13, 5324, 21, 17, 26, 5608, 24, 92, 24, 3361, 27, 1736, 203, 28, 473, 2468, 473, 1261, 292, 298, 473, 603, 3069, 1200, 69, 473, 16146, 2138, 721, 87, 275, 12124, 379, 26269, 473, 19720, 366, 737, 1060, 31317, 473, 341, 961, 310, 1917, 473, 2468, 3247, 7677, 473, 2662, 2599, 275, 36, 8236, 18, 2758, 473, 374, 6028, 18, 23728, 18, 27, 5482, 25, 473, 397, 713, 12, 22, 13, 24, 1578, 4763, 29, 5540, 7140, 1736, 203, 29, 473, 1728, 473, 437, 1187, 94, 473, 11562, 355, 345, 473, 14995, 5995, 312, 292, 549, 73, 5344, 530, 473, 394, 312, 3175, 20731, 736, 70, 280, 4966, 473, 24516, 72, 581, 25441, 473, 22860, 5540, 27, 473, 677, 4527, 75, 1594, 36, 8236, 18, 832, 473, 374, 7140, 18, 2539, 27, 18, 4630, 7235, 92, 5193, 5026, 28, 473, 1381, 6162, 18, 28, 5608, 18, 31831, 21, 92, 29, 6675, 1736, 203, 2163, 473, 4648, 473, 314, 528, 473, 1656, 330, 473, 1666, 4630, 9401, 417, 528, 298, 2031, 6828, 310, 11371, 2371, 713, 473, 1756, 998, 484, 627, 473, 1547, 2779, 69, 473, 13191, 5608, 27, 473, 293, 2091, 549, 73, 2643, 36, 8236, 18, 832, 473, 404, 5082, 17, 7235, 26, 17, 7950, 6675, 92, 6260, 24, 6564, 473, 2371, 8898, 18, 25, 6675, 18, 26, 23454, 92, 22152, 28, 1736, 203, 2499, 473, 2593, 473, 578, 15733, 83, 473, 6205, 473, 28308, 1611, 21, 417, 1051, 94, 81, 1072, 25974, 11371, 5178, 22, 473, 19720, 21282, 495, 292, 70, 22498, 473, 12543, 1054, 625, 7259, 473, 4648, 2733, 20, 473, 4513, 376, 93, 7616, 36, 8236, 18, 3341, 473, 890, 4449, 18, 29, 8875, 18, 2163, 9349, 473, 404, 17, 27, 5520, 17, 24, 5340, 17, 3787, 2947, 92, 7414, 25005, 1736, 203, 2138, 473, 5958, 473, 276, 728, 93, 473, 18551, 1938, 88, 473, 20963, 3361, 417, 4806, 558, 364, 2852, 279, 337, 18, 1666, 5082, 473, 506, 1051, 265, 473, 21435, 72, 581, 25441, 473, 6580, 11035, 21, 473, 6357, 3030, 74, 586, 36, 8236, 18, 2758, 473, 261, 5908, 24, 13, 5608, 27, 17, 5995, 24, 92, 28, 25213, 473, 1666, 3707, 18, 24, 2539, 18, 23, 3028, 25, 92, 28, 6564, 5193, 1736, 203, 3437, 473, 5045, 473, 767, 343, 292, 298, 473, 284, 1683, 473, 4711, 28, 6030, 1694, 23568, 4418, 473, 27697, 884, 265, 1060, 473, 312, 814, 15733, 2 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 6382, 67, 10540, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 17, 9470, 22, 17, 5193, 25, 17, 1611, 2313, 92, 26, 1578, 4763, 1736, 203, 21, 473, 261, 27, 2733, 13, 4313, 23, 17, 3103, 4848, 92, 24, 6564, 1736, 203, 22, 473, 2468, 2313, 18, 29, 6669, 18, 11290, 3672, 92, 3437, 7140, 21, 1736, 203, 23, 473, 404, 17, 23, 1578, 17, 5193, 29, 17, 3657, 6840, 1736, 203, 24, 473, 261, 25, 6334, 13, 4630, 24, 17, 2313, 7301, 1736, 203, 25, 473, 890, 2643, 17, 6260, 22, 17, 9222, 9036, 1736, 203, 26, 473, 261, 6260, 28, 13, 2733, 27, 17, 6669, 5324, 1736, 203, 27, 473, 374, 2643, 3103, 24, 7235, 5877, 28, 1736, 203, 28, 473, 374, 6028, 18, 23728, 18, 27, 5482, 25, 1736, 203, 29, 473, 374, 7140, 18, 2539, 27, 18, 4630, 7235, 92, 5193, 5026, 28, 1736, 203, 2163, 473, 404, 5082, 17, 7235, 26, 17, 7950, 6675, 92, 6260, 24, 6564, 1736, 203, 2499, 473, 890, 4449, 18, 29, 8875, 18, 2163, 9349, 1736, 203, 2138, 473, 261, 5908, 24, 13, 5608, 27, 17, 5995, 24, 92, 28, 25213, 1736, 203, 3437, 473, 404, 17, 5026, 26, 17, 26, 2539, 17, 25, 5193, 22, 92, 6669, 28, 1736, 203, 3461, 473, 1725, 11180, 17, 5292, 22, 17, 25, 29286, 92, 26, 4033, 5908, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 1308, 67, 6395, 16, 1272, 67, 350, 16, 400, 6392, 67, 350, 628, 10043, 4877, 1625, 1509, 67, 81, 9952, 67, 267, 480, 12659, 17, 5908, 17, 5324, 2593, 30, 713, 30, 713, 471, 1308, 67, 6395, 273, 471, 3565, 27464, 94, 1335, 2027, 1308, 67, 6395, 16, 1272, 67, 350, 16, 400, 6392, 67, 350, 628, 10043, 4877, 67, 8387, 1625, 1509, 67, 81, 9952, 67, 267, 480, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 411, 2121, 67, 529, 34, 294, 10043, 4877, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 400, 6392, 67, 350, 473, 1272, 67, 350, 473, 1509, 67, 81, 9952, 67, 267, 473, 1509, 67, 81, 9952, 67, 659, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1666, 473, 2468, 6564, 473, 11015, 17, 7677, 17, 4033, 4711, 30, 8942, 30, 3707, 473, 11015, 17, 2138, 17, 2643, 17107, 30, 8749, 30, 3028, 473, 471, 3565, 27464, 94, 1736, 203, 21, 473, 1728, 473, 4752, 25, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 14863, 17, 4630, 17, 4033, 10934, 30, 8875, 30, 5908, 473, 12543, 9583, 362, 1385, 1140, 2679, 15299, 1736, 203, 22, 473, 10213, 473, 1725, 7235, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2499, 17, 3461, 13026, 30, 6030, 30, 8875, 473, 525, 403, 341, 2942, 304, 1736, 203, 23, 473, 9131, 473, 1666, 5540, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2163, 17, 6260, 17896, 30, 9462, 30, 6938, 473, 12543, 524, 304, 291, 2176, 4728, 1736, 203, 24, 473, 18091, 473, 1666, 8148, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 14863, 17, 1611, 17, 5082, 1728, 30, 3462, 30, 6162, 473, 9214, 18, 419, 941, 417, 11142, 402, 1736, 203, 25, 473, 18012, 473, 2371, 8875, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2138, 17, 5082, 10213, 30, 2539, 30, 2163, 473, 462, 4581, 1352, 304, 1155, 4749, 15299, 1736, 203, 26, 473, 21193, 473, 23515, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 14863, 17, 3103, 17, 3787, 13026, 30, 3247, 30, 3600, 473, 415, 3800, 18551, 1722, 1736, 203, 27, 473, 12292, 473, 2468, 6564, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2163, 17, 3461, 1728, 30, 4366, 30, 9452, 473, 9214, 18, 290, 345, 481, 19055, 347, 1736, 203, 28, 473, 17495, 473, 1666, 8148, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2163, 17, 2163, 17896, 30, 2947, 30, 8643, 473, 268, 3048, 2273, 525, 835, 3528, 15299, 1736, 203, 29, 473, 17066, 473, 1728, 27, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2499, 17, 5540, 9035, 30, 3247, 30, 6840, 473, 358, 15260, 69, 26025, 3034, 1736, 203, 2163, 473, 21017, 473, 15743, 473, 12659, 17, 5908, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2163, 17, 4366, 2872, 30, 7132, 30, 3657, 473, 27428, 737, 324, 8865, 20379, 1736, 203, 2499, 473, 26232, 473, 1059, 7950, 473, 12659, 17, 5908, 17, 5324, 2593, 30, 713, 30, 713, 473, 14863, 17, 1611, 17, 3657, 8743, 30, 4763, 30, 10593, 473, 437, 93, 341, 22628, 1736, 203, 2138, 473, 1725, 27, 473, 2371, 8875, 473, 12659, 17, 5908, 17, 5324, 2593, 30, 713, 30, 713, 473, 14863, 17, 1611, 17, 6030, 5958, 30, 3657, 30, 6564, 473, 312, 5453, 18, 767, 2762, 292, 298, 284, 31721, 1736, 203, 3437, 473, 24153, 473, 1728, 27, 473, 12659, 17, 5908, 17, 5324, 2593, 30, 713, 30, 713, 473, 14863, 17, 3103, 17, 4630, 4648, 30, 5082, 30, 3462, 473, 20138, 29896, 314, 21896, 6072, 1736, 203, 3461, 473, 8566, 473, 890, 9036, 473, 12659, 17, 5908, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2499, 17, 3657, 17107, 30, 2499, 30, 6334, 473, 276, 428, 1385, 525, 22223, 816, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 10043, 4877, 67, 8387, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 400, 6392, 67, 350, 473, 1156, 67, 350, 473, 1509, 67, 81, 9952, 67, 267, 473, 1272, 67, 350, 473, 1509, 67, 19065, 473, 1509, 67, 29206, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1666, 473, 17160, 473, 11015, 17, 7677, 17, 4033, 4711, 30, 8942, 30, 3707, 473, 2468, 6564, 473, 12659, 17, 8642, 17, 2947, 8743, 30, 1578, 30, 4366, 473, 14863, 17, 3103, 17, 5558, 9631, 30, 5324, 30, 2499, 473, 18958, 1736, 203, 21, 473, 10213, 473, 20170, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 1725, 7235, 473, 12659, 17, 2163, 17, 2163, 9035, 30, 9452, 30, 5340, 473, 11015, 17, 6840, 17, 5340, 13026, 30, 4366, 30, 7677, 473, 640, 12973, 21501, 1736, 203, 22, 473, 9131, 473, 4648, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 1666, 5540, 473, 11015, 17, 8642, 17, 3461, 5342, 30, 4630, 30, 9462, 473, 11015, 17, 6840, 17, 6030, 17107, 30, 8942, 30, 4313, 473, 640, 12973, 21501, 1736, 203, 23, 473, 21193, 473, 1728, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 23515, 473, 12659, 17, 5908, 17, 3462, 11201, 30, 3361, 30, 5558, 473, 11015, 17, 2163, 17, 4033, 17107, 30, 5082, 30, 6840, 473, 640, 12973, 21501, 1736, 203, 24, 473, 12292, 473, 17160, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 2468, 6564, 473, 11015, 17, 7677, 17, 3461, 5045, 30, 3028, 30, 3361, 473, 11015, 17, 6840, 17, 3461, 16314, 30, 7677, 30, 8942, 473, 640, 12973, 21501, 1736, 203, 25, 473, 17495, 473, 15892, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 1666, 8148, 473, 12659, 17, 2138, 17, 2313, 13026, 30, 2 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1308, 67, 6395, 473, 1272, 67, 350, 473, 400, 6392, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 471, 3565, 27464, 94, 473, 2468, 6564, 473, 1666, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 268, 21, 18, 2135, 16, 943, 12, 88, 22, 18, 2135, 13, 628, 595, 1165, 1012, 487, 268, 21, 1233, 341, 558, 487, 268, 22, 603, 268, 21, 18, 2019, 273, 268, 22, 18, 2019, 411, 2121, 67, 529, 34, 294, 595, 1165, 1012, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1158, 473, 595, 292, 367, 473, 1056, 93, 473, 919, 473, 5091, 473, 353, 1629, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 279, 4149, 464, 264, 1244, 30678, 473, 272, 4708, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 21, 473, 576, 473, 2125, 23671, 1056, 93, 473, 2125, 23671, 473, 1443, 430, 14245, 1155, 473, 272, 2453, 354, 284, 8595, 737, 87, 473, 1158, 1736, 203, 22, 473, 890, 473, 2125, 23671, 17, 81, 409, 504, 15020, 17, 816, 362, 69, 1056, 606, 473, 290, 19, 69, 473, 1443, 430, 14245, 1155, 473, 290, 19, 69, 473, 1158, 1736, 203, 23, 473, 1059, 473, 471, 3565, 1244, 30678, 473, 312, 409, 504, 15020, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 24, 473, 1381, 473, 419, 3800, 83, 15889, 323, 1244, 30678, 473, 272, 304, 20072, 291, 3768, 291, 1631, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 25, 473, 1666, 473, 22339, 11148, 473, 27133, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 26, 473, 2371, 473, 324, 275, 2758, 88, 1244, 30678, 473, 272, 4708, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 27, 473, 1725, 473, 1443, 21851, 345, 1056, 93, 473, 1443, 21851, 345, 473, 1443, 430, 14245, 1155, 473, 272, 2453, 354, 284, 8595, 737, 87, 473, 1158, 1736, 203, 28, 473, 2468, 473, 1443, 430, 14245, 1155, 473, 290, 19, 69, 473, 1443, 430, 14245, 1155, 473, 1443, 430, 14245, 1155, 473, 1158, 1736, 203, 29, 473, 1728, 473, 5926, 1224, 538, 473, 27133, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 2163, 473, 4648, 473, 18291, 1825, 689, 473, 290, 19, 69, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 2499, 473, 2593, 473, 15184, 366, 737, 473, 272, 4708, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 2138, 473, 5958, 473, 462, 12451, 473, 6921, 387, 402, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 3437, 473, 5045, 473, 356, 2033, 6991, 69, 1056, 93, 473, 356, 2033, 6991, 69, 473, 1443, 430, 14245, 1155, 473, 272, 27677, 4422, 29298, 5344, 4167, 473, 1158, 1736, 203, 3461, 473, 4711, 473, 10299, 276, 992, 79, 1244, 30678, 473, 272, 4708, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 3600, 473, 2872, 473, 1675, 6582, 1244, 30678, 473, 272, 304, 20072, 291, 3768, 291, 1631, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 2313, 473, 8043, 473, 284, 1873, 1810, 995, 473, 2125, 23671, 473, 1443, 430, 14245, 1155, 473, 272, 2453, 354, 284, 8595, 737, 87, 473, 12465, 1736, 203, 4033, 473, 6549, 473, 10004, 1244, 30678, 434, 436, 5567, 2779, 436, 1667, 1244, 30678, 473, 272, 4708, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 2643, 473, 5342, 473, 3058, 275, 504, 1244, 30678, 473, 328, 911, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 3657, 473, 4200, 473, 5622, 2074, 848, 93, 265, 434, 272, 27677, 4653, 3215, 69, 473, 272, 27677, 4653, 3215, 69, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 3462, 473, 9035, 473, 3661, 1165, 5344, 530, 473, 27133, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 5340, 473, 11201, 473, 15516, 10730, 1244, 30678, 473, 272, 4708, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 3787, 473, 10213, 473, 328, 911, 1056, 93, 473, 328, 911, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 1158, 1736, 203, 4366, 473, 4248, 473, 328, 427, 1035, 479, 1244, 30678, 473, 524, 2808, 69, 473, 1443, 430, 14245, 1155, 473, 272, 27677, 4422, 29298, 5344, 4167, 473, 12465, 1736, 203, 3247, 473, 6969, 473, 328, 369, 77, 473, 272, 304, 525, 11867, 372, 267, 473, 1443, 430, 14245, 1155, 473, 18291, 1244, 30678, 473, 12465, 1736, 203, 2947, 473, 10659, 473, 312, 409, 504, 15020, 1056, 93, 473, 312, 409, 504, 15020, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 1158, 1736, 203, 5558, 473, 12732, 473, 6921, 387, 402, 1056, 93, 473, 6921, 387, 402, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 1158, 1736, 203, 5324, 473, 9131, 473, 5344, 17895, 6115, 473, 272, 304, 324, 275, 11250, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 6030, 473, 12899, 473, 5344, 10489, 323, 264, 473, 27133, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 5540, 473, 5196, 473, 27133, 69, 1244, 30678, 473, 27133, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 5082, 473, 8231, 473, 27133, 69, 17, 816, 362, 69, 1056, 606, 473, 290, 19, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 1158, 1736, 203, 6938, 473, 3847, 473, 21435, 1825, 689, 473, 290, 19, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 1578, 473, 13159, 473, 320, 581, 90, 14120, 473, 27133, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 3707, 473, 13438, 473, 14699, 83, 23152, 1040, 473, 272, 304, 20072, 291, 3768, 291, 1631, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 5026, 473, 13191, 473, 1755, 366, 737, 87, 328, 911, 1056, 93, 473, 328, 911, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 2 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1158, 473, 943, 12, 88, 22, 18, 2135, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 6604, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 943, 12, 88, 21, 18, 75, 9295, 3631, 268, 22, 18, 4924, 628, 12797, 487, 268, 21, 1233, 12843, 487, 268, 22, 603, 268, 21, 18, 14240, 67, 350, 273, 268, 22, 18, 14240, 67, 350, 411, 2121, 67, 529, 34, 294, 12797, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 12797, 67, 350, 473, 12797, 473, 366, 304, 94, 77, 473, 366, 2273, 89, 67, 84, 11652, 267, 473, 29734, 67, 23555, 473, 314, 9295, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 699, 539, 3395, 77, 473, 225, 132, 102, 131, 121, 131, 237, 132, 104, 131, 118, 131, 120, 473, 699, 132, 101, 131, 259, 3368, 76, 132, 105, 131, 241, 77, 473, 10213, 1611, 29, 25005, 473, 5342, 3657, 18, 10321, 1736, 203, 21, 473, 576, 473, 6468, 78, 310, 261, 525, 77, 539, 26560, 262, 473, 225, 132, 103, 131, 240, 131, 250, 132, 102, 131, 123, 131, 110, 473, 290, 132, 101, 131, 99, 82, 78, 132, 102, 131, 109, 3368, 473, 1725, 713, 8749, 3672, 473, 1666, 3461, 18, 2539, 1736, 203, 22, 473, 890, 473, 25733, 23121, 1395, 261, 998, 580, 21102, 539, 262, 473, 225, 132, 104, 131, 256, 131, 260, 132, 103, 131, 120, 131, 257, 473, 366, 132, 101, 131, 99, 3368, 23121, 132, 103, 131, 240, 89, 473, 1725, 26874, 16010, 473, 2371, 1611, 18, 2643, 1736, 203, 23, 473, 1059, 473, 1597, 23121, 1395, 261, 525, 77, 539, 26560, 262, 473, 225, 132, 106, 131, 238, 131, 242, 132, 103, 131, 120, 131, 257, 19, 225, 132, 106, 131, 251, 131, 234, 132, 103, 131, 120, 131, 257, 473, 272, 132, 103, 131, 109, 23121, 132, 103, 131, 240, 89, 473, 1728, 8749, 25, 2733, 24, 473, 1728, 11212, 18, 27, 1736, 203, 24, 473, 1381, 473, 290, 310, 1075, 261, 998, 580, 21102, 539, 262, 473, 225, 132, 103, 131, 111, 131, 228, 132, 104, 131, 116, 131, 100, 19, 225, 132, 103, 131, 112, 131, 105, 132, 104, 131, 116, 131, 100, 473, 290, 132, 101, 131, 260, 3368, 70, 132, 103, 131, 240, 473, 2371, 4848, 4313, 6675, 473, 1666, 1611, 18, 6260, 1736, 203, 25, 473, 1666, 473, 341, 2616, 77, 261, 525, 77, 539, 26560, 262, 473, 225, 132, 104, 131, 250, 131, 259, 132, 107, 131, 247, 131, 99, 19, 225, 132, 105, 131, 231, 131, 99, 132, 107, 131, 239, 131, 109, 473, 341, 132, 101, 131, 123, 92, 132, 102, 131, 109, 473, 1666, 6418, 5558, 3247, 473, 1666, 5482, 18, 3103, 1736, 203, 26, 473, 2371, 473, 290, 970, 932, 261, 525, 77, 539, 26560, 262, 473, 225, 132, 103, 131, 240, 131, 250, 132, 107, 131, 227, 131, 253, 473, 290, 132, 101, 131, 99, 496, 132, 103, 131, 240, 3368, 473, 2371, 6030, 6030, 4763, 473, 1059, 6840, 18, 3103, 1736, 203, 27, 473, 1725, 473, 6056, 2409, 310, 261, 998, 580, 21102, 539, 262, 473, 225, 132, 105, 131, 124, 131, 240, 132, 103, 131, 232, 131, 117, 19, 225, 132, 105, 131, 117, 131, 122, 132, 106, 131, 235, 131, 235, 473, 699, 132, 101, 131, 259, 2409, 132, 102, 131, 109, 3368, 473, 17160, 2138, 6976, 473, 3847, 29, 18, 2138, 1736, 203, 28, 473, 2468, 473, 9435, 23121, 1395, 261, 525, 77, 539, 26560, 262, 473, 225, 132, 103, 131, 121, 131, 121, 132, 103, 131, 120, 131, 257, 473, 462, 132, 101, 131, 99, 3368, 23121, 132, 103, 131, 240, 89, 473, 1059, 6162, 3657, 9060, 473, 890, 8204, 18, 3028, 1736, 203, 29, 473, 1728, 473, 525, 267, 76, 11886, 261, 998, 580, 21102, 539, 262, 473, 225, 132, 107, 131, 234, 131, 244, 132, 103, 131, 240, 131, 241, 19, 225, 132, 107, 131, 234, 131, 244, 132, 106, 131, 242, 131, 112, 473, 525, 132, 102, 131, 109, 82, 76, 89, 132, 101, 131, 99, 473, 17077, 3461, 6625, 473, 4248, 24, 18, 4700, 1736, 203, 2163, 473, 4648, 473, 525, 77, 651, 310, 261, 998, 580, 21102, 539, 262, 473, 225, 132, 103, 131, 251, 131, 236, 132, 103, 131, 232, 131, 117, 19, 225, 132, 103, 131, 251, 131, 236, 132, 106, 131, 235, 131, 235, 473, 525, 77, 132, 102, 131, 228, 92, 132, 102, 131, 109, 3368, 473, 1059, 9172, 26874, 473, 576, 6028, 18, 11861, 1736, 203, 2499, 473, 2593, 473, 13561, 452, 76, 1395, 261, 998, 580, 21102, 539, 262, 473, 225, 132, 103, 131, 242, 131, 113, 132, 103, 131, 120, 131, 257, 473, 268, 132, 102, 131, 228, 452, 76, 132, 103, 131, 240, 89, 473, 1381, 10525, 5482, 713, 473, 576, 7235, 18, 7616, 1736, 203, 2138, 473, 5958, 473, 6772, 23121, 1395, 261, 525, 77, 539, 26560, 262, 473, 225, 132, 104, 131, 236, 131, 110, 132, 103, 131, 120, 131, 257, 19, 225, 132, 104, 131, 242, 131, 253, 132, 103, 131, 120, 131, 257, 473, 677, 132, 101, 131, 99, 3368, 23121, 132, 103, 131, 240, 89, 473, 13291, 6162, 27, 4848, 473, 576, 4449, 18, 4630, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 12843, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 12797, 67, 350, 473, 525, 304, 473, 1656, 70, 473, 21282, 473, 513, 86, 473, 525, 318, 473, 525, 332, 473, 31350, 473, 5478, 473, 10844, 473, 1158, 90, 473, 2109, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 8043, 18, 28, 473, 8043, 18, 28, 473, 6549, 18, 23, 473, 6549, 18, 29, 473, 4200, 18, 20, 473, 4200, 18, 26, 473, 4200, 18, 26, 473, 4200, 18, 26, 473, 4200, 18, 20, 473, 5342, 18, 24, 473, 6549, 18, 23, 1736, 203, 21, 473, 576, 473, 10659, 18, 21, 473, 10659, 18, 21, 473, 10659, 18, 21, 473, 10659, 18, 21, 473, 12732, 18, 28, 473, 12732, 18, 28, 473, 9131, 18, 23, 473, 9131, 18, 23, 473, 9131, 18, 23, 473, 12732, 18, 22, 2 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 943, 12, 88, 21, 18, 75, 9295, 13, 473, 2109, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5342, 3657, 18, 10321, 473, 6549, 18, 23, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 1308, 67, 6395, 628, 3023, 5054, 1625, 3023, 5054, 67, 350, 1545, 576, 578, 3314, 67, 8238, 5054, 67, 1937, 273, 14863, 17, 1611, 17, 5540, 4200, 30, 8942, 30, 7950, 578, 3023, 5054, 67, 7687, 273, 6555, 7812, 2027, 1308, 67, 6395, 628, 6885, 67, 9523, 6392, 1625, 22933, 67, 350, 480, 1728, 471, 22933, 67, 7687, 480, 6555, 471, 18110, 67, 350, 1545, 1666, 471, 1509, 67, 9523, 6392, 67, 409, 480, 14863, 17, 3103, 17, 2947, 15331, 30, 7414, 30, 8204, 578, 22933, 67, 723, 67, 710, 480, 10825, 471, 1308, 67, 6395, 480, 6555, 578, 1509, 67, 9523, 6392, 67, 1937, 480, 11015, 17, 6840, 17, 3437, 11201, 30, 3600, 30, 6260, 578, 22867, 1012, 480, 7412, 18551, 8192, 411, 2121, 67, 529, 34, 294, 3023, 5054, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3023, 5054, 67, 350, 473, 3023, 5054, 67, 723, 67, 710, 473, 6489, 27779, 67, 350, 473, 3314, 67, 8238, 5054, 67, 1937, 473, 3314, 67, 8238, 5054, 67, 409, 473, 3023, 5054, 67, 7687, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1839, 473, 2371, 473, 11015, 17, 5908, 17, 6260, 9631, 30, 7414, 30, 2947, 473, 14863, 17, 4630, 17, 6840, 17896, 30, 6840, 30, 1578, 473, 225, 473, 225, 1736, 203, 21, 473, 576, 473, 1839, 473, 5045, 473, 14863, 17, 1611, 17, 2163, 16314, 30, 5908, 30, 3103, 473, 14863, 17, 4630, 17, 8642, 16486, 30, 3247, 30, 8875, 473, 225, 473, 225, 1736, 203, 22, 473, 890, 473, 898, 473, 4648, 473, 11015, 17, 2138, 17, 3461, 13026, 30, 7132, 30, 5540, 473, 14863, 17, 4630, 17, 6840, 21058, 30, 2313, 30, 7414, 473, 225, 473, 225, 1736, 203, 23, 473, 1059, 473, 1839, 473, 1725, 473, 11015, 17, 7677, 17, 5908, 13026, 30, 3437, 30, 5908, 473, 14863, 17, 4630, 17, 5340, 5342, 30, 5026, 30, 4313, 473, 225, 473, 225, 1736, 203, 24, 473, 1381, 473, 898, 473, 890, 473, 11015, 17, 6840, 17, 2947, 2593, 30, 713, 30, 8749, 473, 14863, 17, 4630, 17, 2499, 5958, 30, 5340, 30, 8642, 473, 225, 473, 225, 1736, 203, 25, 473, 1666, 473, 898, 473, 2593, 473, 11015, 17, 2163, 17, 3462, 11201, 30, 5026, 30, 6334, 473, 14863, 17, 4630, 17, 2499, 2593, 30, 8204, 30, 7132, 473, 225, 473, 225, 1736, 203, 26, 473, 2371, 473, 898, 473, 4711, 473, 14863, 17, 3103, 17, 3657, 4648, 30, 6334, 30, 9401, 473, 14863, 17, 4630, 17, 4033, 2593, 30, 4763, 30, 9803, 473, 225, 473, 225, 1736, 203, 27, 473, 1725, 473, 898, 473, 1381, 473, 11015, 17, 2499, 17, 5558, 4711, 30, 6260, 30, 6260, 473, 14863, 17, 4630, 17, 2313, 8743, 30, 6418, 30, 2947, 473, 225, 473, 225, 1736, 203, 28, 473, 2468, 473, 328, 4384, 473, 4711, 473, 11015, 17, 2163, 17, 5082, 2872, 30, 3028, 30, 713, 473, 14863, 17, 4630, 17, 3787, 4200, 30, 3600, 30, 9462, 473, 225, 473, 225, 1736, 203, 29, 473, 1728, 473, 1839, 473, 4711, 473, 14863, 17, 1611, 17, 5540, 4200, 30, 8942, 30, 7950, 473, 14863, 17, 4630, 17, 6260, 17107, 30, 6938, 30, 3247, 473, 225, 473, 225, 1736, 203, 2163, 473, 4648, 473, 1839, 473, 1725, 473, 11015, 17, 2163, 17, 4630, 6549, 30, 6334, 30, 6938, 473, 14863, 17, 4630, 17, 4630, 5045, 30, 8204, 30, 8942, 473, 225, 473, 225, 1736, 203, 2499, 473, 2593, 473, 328, 4384, 473, 890, 473, 14863, 17, 1611, 17, 3462, 5342, 30, 7677, 30, 4313, 473, 14863, 17, 3103, 17, 2947, 10934, 30, 3462, 30, 5082, 473, 225, 473, 225, 1736, 203, 2138, 473, 5958, 473, 898, 473, 1728, 473, 11015, 17, 6840, 17, 3103, 10934, 30, 8749, 30, 5520, 473, 14863, 17, 4630, 17, 2163, 5045, 30, 8204, 30, 6938, 473, 225, 473, 225, 1736, 203, 3437, 473, 5045, 473, 1839, 473, 2593, 473, 11015, 17, 2138, 17, 2643, 5958, 30, 9462, 30, 10593, 473, 14863, 17, 4630, 17, 3028, 4200, 30, 9401, 30, 10593, 473, 225, 473, 225, 1736, 203, 3461, 473, 4711, 473, 328, 4384, 473, 4648, 473, 11015, 17, 6840, 17, 5340, 13026, 30, 9803, 30, 5540, 473, 14863, 17, 4630, 17, 3437, 4200, 30, 6418, 30, 5520, 473, 571, 473, 6555, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 6885, 67, 9523, 6392, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 22933, 67, 350, 473, 22933, 67, 723, 67, 710, 473, 18110, 67, 350, 473, 1509, 67, 9523, 6392, 67, 1937, 473, 1509, 67, 9523, 6392, 67, 409, 473, 22933, 67, 7687, 473, 22867, 1012, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 10825, 473, 1666, 473, 11015, 17, 8642, 17, 5908, 1728, 30, 3028, 30, 3437, 473, 14863, 17, 4630, 17, 6840, 5045, 30, 6840, 30, 6564, 473, 225, 473, 225, 473, 225, 1736, 203, 21, 473, 576, 473, 2411, 15850, 473, 5958, 473, 14863, 17, 1611, 17, 6938, 1728, 30, 10593, 30, 3437, 473, 14863, 17, 4630, 17, 2643, 6549, 30, 7132, 30, 6260, 473, 225, 473, 225, 473, 225, 1736, 203, 22, 473, 890, 473, 12471, 802, 473, 404, 473, 11015, 17, 2163, 17, 2163, 11201, 30, 8942, 30, 6564, 473, 14863, 17, 4630, 17, 3787, 17896, 30, 2163, 30, 4763, 473, 225, 473, 7412, 18551, 8192, 473, 225, 1736, 203, 23, 473, 1059, 473, 12471, 802, 473, 1728, 473, 11015, 17, 8642, 17, 3462, 8043, 30, 8942, 30, 3361, 473, 14863, 17, 4630, 17, 5908, 13026, 30, 6030, 30, 6334, 473, 225, 473, 225, 473, 225, 1736, 203, 24, 473, 1381, 473, 10825, 473, 2371, 473, 11015, 17, 6840, 17, 3437, 11201, 30, 3600, 30, 6260, 473, 14863, 17, 3103, 17, 2947, 15331, 30, 7414, 30, 8204, 473, 225, 473, 225, 473, 225, 1736, 203, 25, 473, 1666, 473, 12471, 802, 473, 1725, 473, 11015, 17, 7677, 17, 5908, 6549, 30, 1578, 30, 6030, 473, 14863, 17, 4630, 17, 3462, 1728, 30, 2 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6468, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 3214, 67, 1019, 67, 350, 628, 1353, 67, 26672, 606, 1041, 635, 7912, 67, 2327, 67, 710, 411, 2121, 67, 529, 34, 294, 1353, 67, 26672, 606, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2117, 67, 710, 473, 3214, 67, 1019, 67, 350, 473, 7912, 67, 2327, 67, 710, 473, 3419, 67, 351, 2817, 1340, 67, 350, 473, 433, 9031, 67, 350, 473, 7912, 67, 712, 1736, 203, 64, 13138, 5345, 203, 20, 473, 12732, 12797, 9437, 473, 4648, 473, 5695, 473, 1666, 473, 4648, 473, 14863, 17, 4630, 17, 5340, 9631, 30, 10321, 30, 3787, 1736, 203, 21, 473, 12732, 12797, 9437, 473, 404, 473, 603, 721, 361, 473, 1059, 473, 1728, 473, 14863, 17, 3103, 17, 5558, 8743, 30, 1578, 30, 7616, 1736, 203, 22, 473, 12732, 12797, 9437, 473, 890, 473, 5695, 473, 404, 473, 576, 473, 14863, 17, 4630, 17, 6840, 8043, 30, 4033, 30, 2138, 1736, 203, 23, 473, 26103, 6468, 2431, 1712, 473, 576, 473, 22112, 473, 2593, 473, 1728, 473, 14863, 17, 4630, 17, 4033, 5342, 30, 9452, 30, 6840, 1736, 203, 24, 473, 26103, 6468, 2431, 1712, 473, 576, 473, 603, 721, 361, 473, 404, 473, 1666, 473, 14863, 17, 4630, 17, 6260, 17107, 30, 4630, 30, 3247, 1736, 203, 25, 473, 13438, 324, 275, 94, 384, 473, 5045, 473, 22112, 473, 4648, 473, 1666, 473, 14863, 17, 4630, 17, 2138, 4200, 30, 7950, 30, 5324, 1736, 203, 26, 473, 26103, 6468, 2431, 1712, 473, 1666, 473, 603, 721, 361, 473, 4648, 473, 4648, 473, 14863, 17, 4630, 17, 3787, 11201, 30, 5908, 30, 4313, 1736, 203, 27, 473, 13438, 324, 275, 94, 384, 473, 1666, 473, 22112, 473, 576, 473, 1728, 473, 14863, 17, 4630, 17, 7677, 11201, 30, 5520, 30, 4033, 1736, 203, 28, 473, 13438, 324, 275, 94, 384, 473, 1381, 473, 22112, 473, 5045, 473, 1666, 473, 14863, 17, 4630, 17, 3103, 21058, 30, 4630, 30, 3437, 1736, 203, 29, 473, 26103, 6468, 2431, 1712, 473, 1725, 473, 5695, 473, 5958, 473, 1059, 473, 14863, 17, 4630, 17, 4033, 21058, 30, 5908, 30, 7677, 1736, 203, 2163, 473, 17066, 721, 792, 1712, 473, 2468, 473, 5695, 473, 890, 473, 2468, 473, 14863, 17, 3103, 17, 5558, 5958, 30, 3787, 30, 8643, 1736, 203, 2499, 473, 17066, 721, 792, 1712, 473, 1381, 473, 5695, 473, 1725, 473, 404, 473, 14863, 17, 4630, 17, 3462, 4200, 30, 5718, 30, 6334, 1736, 203, 2138, 473, 17066, 721, 792, 1712, 473, 2468, 473, 5695, 473, 5045, 473, 1381, 473, 14863, 17, 4630, 17, 3461, 15331, 30, 2313, 30, 4033, 1736, 203, 3437, 473, 17066, 721, 792, 1712, 473, 1728, 473, 5695, 473, 5958, 473, 4648, 473, 14863, 17, 4630, 17, 2643, 17896, 30, 4763, 30, 6840, 1736, 203, 3461, 473, 13438, 324, 275, 94, 384, 473, 1059, 473, 603, 721, 361, 473, 404, 473, 576, 473, 14863, 17, 4630, 17, 1611, 9631, 30, 3361, 30, 7950, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3214, 67, 1019, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 1736, 203, 21, 473, 404, 1736, 203, 22, 473, 4648, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 1056, 12, 3618, 67, 350, 13, 628, 20574, 1625, 6978, 67, 350, 1648, 1381, 411, 2121, 67, 529, 34, 294, 20574, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 20574, 67, 350, 473, 6978, 67, 350, 473, 12855, 473, 20574, 67, 712, 473, 6205, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 293, 2091, 816, 473, 31350, 641, 4044, 28, 473, 4711, 9449, 18, 20, 1736, 203, 21, 473, 576, 473, 890, 473, 286, 362, 816, 283, 322, 414, 473, 312, 991, 4044, 28, 473, 1666, 9449, 18, 20, 1736, 203, 22, 473, 890, 473, 1059, 473, 341, 398, 93, 473, 525, 7556, 27212, 473, 20170, 11706, 18, 20, 1736, 203, 23, 473, 1059, 473, 1381, 473, 341, 398, 93, 473, 10844, 83, 744, 4044, 25, 473, 890, 9449, 18, 20, 1736, 203, 24, 473, 1381, 473, 2371, 473, 272, 683, 6658, 28700, 473, 31350, 641, 4044, 28, 473, 890, 9449, 18, 20, 1736, 203, 25, 473, 1666, 473, 2468, 473, 293, 2091, 816, 473, 312, 991, 4044, 27, 473, 576, 9449, 18, 20, 1736, 203, 26, 473, 2371, 473, 1728, 473, 324, 1051, 292, 4808, 1072, 473, 513, 86, 330, 4044, 27, 473, 576, 9449, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1056, 12, 3618, 67, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1059, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 283, 24612, 628, 3161, 11853, 295, 414, 1041, 635, 508, 7999, 284, 465, 765, 273, 2523, 275, 411, 2121, 67, 529, 34, 294, 3161, 11853, 295, 414, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 981, 473, 508, 473, 910, 372, 14153, 473, 284, 465, 765, 473, 283, 24612, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 272, 6598, 473, 946, 93, 83, 473, 471, 93, 473, 15743, 18, 20, 1736, 203, 21, 473, 576, 473, 29034, 328, 5113, 473, 279, 641, 267, 473, 2523, 275, 473, 2130, 18, 20, 1736, 203, 22, 473, 890, 473, 366, 359, 1810, 88, 17, 2920, 1060, 473, 22148, 7603, 19880, 473, 525, 753, 473, 6437, 18, 20, 1736, 203, 23, 473, 1059, 473, 277, 362, 11061, 473, 506, 8302, 310, 473, 312, 814, 473, 4044, 18, 20, 1736, 203, 24, 473, 1381, 473, 284, 11501, 1282, 89, 473, 268, 10658, 91, 304, 473, 525, 22223, 473, 404, 5082, 18, 20, 1736, 203, 25, 473, 1666, 473, 5657, 343, 7654, 473, 779, 291, 473, 721, 25925, 473, 5196, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 283, 24612, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2130, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 17402, 67, 350, 628, 3017, 67, 2859, 8127, 414, 1041, 635, 2078, 67, 1132, 67, 12688, 343, 8905, 7999, 3017, 67, 350, 273, 4648, 411, 2121, 67, 529, 34, 294, 3017, 67, 2859, 8127, 414, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 3017, 67, 350, 473, 17402, 67, 350, 473, 1509, 67, 2859, 3110, 67, 2080, 473, 1509, 67, 2859, 3110, 67, 869, 473, 2078, 67, 8949, 67, 12688, 343, 8905, 473, 2078, 67, 1132, 67, 12688, 343, 8905, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1059, 473, 890, 473, 11015, 17, 7677, 17, 3657, 9631, 30, 7616, 30, 6260, 473, 14863, 17, 4630, 17, 3247, 5342, 30, 5540, 30, 2643, 473, 28308, 5718, 26, 18, 6260, 473, 6580, 1611, 24, 18, 26, 1736, 203, 21, 473, 1725, 473, 1059, 473, 11015, 17, 8642, 17, 3103, 9631, 30, 4763, 30, 2138, 473, 14863, 17, 4630, 17, 2947, 10934, 30, 5082, 30, 7616, 473, 16927, 7140, 18, 10321, 473, 6580, 5324, 24, 18, 4313, 1736, 203, 22, 473, 890, 473, 890, 473, 11015, 17, 2163, 17, 3461, 5342, 30, 3600, 30, 6418, 473, 14863, 17, 4630, 17, 3247, 17896, 30, 5540, 30, 6334, 473, 4711, 5877, 22, 18, 7950, 473, 2371, 5324, 23, 18, 5608, 1736, 203, 23, 473, 2371, 473, 404, 473, 11015, 17, 6840, 17, 3787, 9631, 30, 8204, 30, 9452, 473, 14863, 17, 4630, 17, 3247, 17896, 30, 7414, 30, 6938, 473, 576, 4366, 1578, 18, 6840, 473, 1725, 3028, 22, 18, 8285, 1736, 203, 24, 473, 4711, 473, 1059, 473, 11015, 17, 2138, 17, 6840, 21058, 30, 3461, 30, 6260, 473, 14863, 17, 4630, 17, 3247, 10213, 30, 4630, 30, 5082, 473, 6969, 23, 2643, 18, 5340, 473, 576, 10689, 5718, 18, 5558, 1736, 203, 25, 473, 4648, 473, 404, 473, 11015, 17, 2138, 17, 1611, 5342, 30, 8749, 30, 8643, 473, 14863, 17, 4630, 17, 3247, 15331, 30, 3787, 30, 5718, 473, 13191, 26262, 18, 5608, 473, 1666, 9060, 2313, 18, 6938, 1736, 203, 26, 473, 4648, 473, 890, 473, 11015, 17, 8642, 17, 3437, 4711, 30, 3103, 30, 3247, 473, 14863, 17, 4630, 17, 3247, 10213, 30, 1611, 30, 4630, 473, 890, 2643, 8898, 18, 6162, 473, 22997, 2733, 22, 18, 9452, 1736, 203, 27, 473, 1381, 473, 576, 473, 11015, 17, 8642, 17, 6030, 5342, 30, 4366, 30, 5520, 473, 14863, 17, 4630, 17, 3247, 21058, 30, 4033, 30, 3600, 473, 1725, 6162, 3787, 18, 5292, 473, 1725, 2947, 3247, 18, 8778, 1736, 203, 28, 473, 1666, 473, 576, 473, 11015, 17, 2138, 17, 3462, 10934, 30, 8642, 30, 6938, 473, 14863, 17, 4630, 17, 3247, 10213, 30, 2947, 30, 8204, 473, 5178, 6334, 24, 18, 2643, 473, 16340, 6418, 21, 18, 2138, 1736, 203, 29, 473, 1059, 473, 404, 473, 11015, 17, 5908, 17, 3657, 17896, 30, 3461, 30, 3103, 473, 14863, 17, 4630, 17, 2947, 21058, 30, 3600, 30, 5082, 473, 3847, 5482, 21, 18, 7414, 473, 31360, 11035, 18, 11212, 1736, 203, 2163, 473, 4711, 473, 576, 473, 11015, 17, 6840, 17, 8642, 2593, 30, 6840, 30, 713, 473, 14863, 17, 4630, 17, 4366, 5342, 30, 5340, 30, 2138, 473, 5958, 27, 2138, 18, 12416, 473, 9934, 6625, 18, 4366, 1736, 203, 2499, 473, 1059, 473, 1059, 473, 11015, 17, 7677, 17, 5908, 8743, 30, 5082, 30, 7132, 473, 14863, 17, 4630, 17, 3247, 2593, 30, 4763, 30, 6840, 473, 2371, 11180, 2313, 18, 6938, 473, 2468, 3672, 5292, 18, 28, 1736, 203, 2138, 473, 1725, 473, 576, 473, 11015, 17, 7677, 17, 2947, 5045, 30, 6162, 30, 7132, 473, 14863, 17, 4630, 17, 3247, 2593, 30, 5324, 30, 3437, 473, 1725, 7414, 9036, 18, 8204, 473, 14605, 3028, 29, 18, 1611, 1736, 203, 3437, 473, 2371, 473, 1059, 473, 11015, 17, 2499, 17, 4033, 16314, 30, 4366, 30, 2313, 473, 14863, 17, 4630, 17, 2947, 2593, 30, 4630, 30, 3707, 473, 4200, 26, 6675, 18, 8285, 473, 1666, 2643, 713, 18, 8778, 1736, 203, 3461, 473, 5045, 473, 404, 473, 11015, 17, 6840, 17, 5908, 9035, 30, 5558, 30, 7414, 473, 14863, 17, 4630, 17, 3247, 6549, 30, 2313, 30, 9462, 473, 11492, 9462, 18, 2733, 473, 12732, 2947, 27, 18, 26, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 17402, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 1736, 203, 21, 473, 890, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 2142, 12, 88, 21, 18, 2470, 264, 67, 350, 3631, 268, 22, 18, 2649, 628, 4864, 264, 487, 268, 21, 1233, 17180, 487, 268, 22, 603, 268, 21, 18, 2470, 264, 67, 350, 273, 268, 22, 18, 2470, 264, 67, 350, 1625, 272, 5408, 1545, 890, 11706, 18, 20, 471, 2077, 273, 2002, 8220, 24068, 578, 2901, 67, 91, 7825, 67, 81, 737, 1115, 1545, 8043, 18, 28, 578, 17180, 67, 350, 411, 1381, 411, 2121, 67, 529, 34, 294, 4864, 264, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 4864, 264, 67, 350, 473, 508, 473, 17057, 67, 6874, 473, 2901, 67, 91, 7825, 67, 81, 737, 1115, 473, 276, 305, 452, 275, 3261, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 328, 330, 2779, 73, 2701, 88, 1331, 477, 88, 473, 5342, 6334, 18, 20, 473, 5196, 18, 20, 473, 3812, 1359, 1736, 203, 21, 473, 576, 473, 4513, 376, 93, 29051, 1917, 473, 5342, 8875, 18, 20, 473, 9131, 18, 28, 473, 2836, 329, 5493, 1736, 203, 22, 473, 890, 473, 524, 1812, 29051, 1917, 473, 5342, 7616, 18, 20, 473, 10659, 18, 23, 473, 2836, 329, 5493, 1736, 203, 23, 473, 1059, 473, 9482, 291, 3512, 18688, 69, 473, 5342, 9452, 18, 20, 473, 8043, 18, 24, 473, 462, 398, 1736, 203, 24, 473, 1381, 473, 20138, 372, 3027, 312, 5913, 473, 5342, 7132, 18, 20, 473, 8043, 18, 28, 473, 2836, 329, 5493, 1736, 203, 25, 473, 1666, 473, 314, 15314, 436, 558, 76, 485, 473, 5342, 8643, 18, 20, 473, 8043, 18, 20, 473, 279, 27008, 287, 1155, 1736, 203, 26, 473, 2371, 473, 11375, 1072, 73, 417, 4801, 2253, 473, 5342, 8898, 18, 20, 473, 5045, 18, 23, 473, 314, 1035, 2273, 1736, 203, 27, 473, 1725, 473, 1223, 360, 671, 525, 22223, 816, 473, 5342, 9498, 18, 20, 473, 2593, 18, 27, 473, 2836, 329, 5493, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 17180, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 17180, 67, 350, 473, 2077, 473, 4864, 264, 67, 350, 473, 272, 5408, 473, 9742, 67, 3276, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 741, 2898, 5055, 518, 1807, 4513, 376, 15260, 473, 404, 473, 1728, 11290, 3784, 18, 20, 473, 404, 18, 20, 1736, 203, 21, 473, 576, 473, 284, 636, 79, 518, 261, 77, 2727, 1404, 2545, 1846, 1473, 13, 473, 404, 473, 21483, 3247, 8642, 18, 20, 473, 404, 18, 20, 1736, 203, 22, 473, 890, 473, 462, 69, 462, 69, 12701, 473, 576, 473, 13191, 3461, 5340, 18, 20, 473, 404, 18, 20, 1736, 203, 23, 473, 1059, 473, 745, 603, 1791, 473, 1059, 473, 890, 4763, 3784, 18, 20, 473, 404, 18, 20, 1736, 203, 24, 473, 1381, 473, 677, 73, 9795, 473, 576, 473, 890, 11706, 18, 20, 473, 404, 18, 20, 1736, 203, 25, 473, 1666, 473, 777, 333, 813, 473, 1666, 473, 576, 9975, 3784, 18, 20, 473, 404, 18, 20, 1736, 203, 26, 473, 2371, 473, 2002, 8220, 24068, 473, 1381, 473, 576, 5877, 3784, 18, 20, 473, 890, 18, 20, 1736, 203, 27, 473, 1725, 473, 312, 1094, 264, 22774, 314, 481, 80, 473, 2371, 473, 576, 9498, 3784, 18, 20, 473, 404, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2142, 12, 88, 21, 18, 2470, 264, 67, 350, 13, 473, 2077, 1736, 203, 64, 13138, 5345, 203, 20, 473, 4711, 473, 741, 2898, 5055, 518, 1807, 4513, 376, 15260, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 23350, 71, 5015, 67, 350, 628, 23350, 71, 5015, 1041, 635, 23350, 71, 5015, 67, 350, 7999, 23350, 71, 5015, 67, 350, 480, 576, 1335, 2027, 23350, 71, 5015, 67, 350, 628, 23350, 655, 67, 1826, 71, 5015, 1041, 635, 23350, 71, 5015, 67, 350, 7999, 23350, 71, 5015, 67, 350, 1648, 1381, 411, 2121, 67, 529, 34, 294, 23350, 71, 5015, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 23350, 71, 5015, 67, 350, 473, 23350, 71, 5015, 473, 2477, 473, 943, 67, 75, 3984, 67, 4865, 473, 2078, 67, 10863, 67, 5036, 473, 943, 67, 10863, 67, 15174, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 721, 4757, 816, 436, 17, 3787, 473, 9052, 12788, 13150, 335, 3838, 264, 473, 404, 16, 6418, 20, 7831, 261, 4449, 25, 417, 75, 13, 473, 1059, 10580, 11038, 131, 115, 261, 8749, 18, 22, 312, 131, 115, 13, 473, 576, 18, 26, 7831, 19, 1222, 131, 115, 261, 3461, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 21, 473, 576, 473, 324, 1165, 4200, 26, 70, 23, 525, 16354, 11455, 473, 268, 15850, 538, 3395, 1222, 12788, 13150, 335, 3838, 264, 473, 890, 16, 6976, 7831, 261, 21, 16, 7950, 21, 417, 75, 13, 473, 1725, 9060, 11038, 131, 115, 261, 11861, 18, 21, 312, 131, 115, 13, 473, 890, 18, 27, 7831, 19, 1222, 131, 115, 261, 2643, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 22, 473, 890, 473, 462, 17, 9462, 72, 462, 267, 1184, 473, 17126, 19117, 4168, 280, 13150, 335, 3838, 264, 473, 6437, 16, 3784, 7831, 261, 3787, 16, 26, 3672, 417, 75, 13, 473, 1381, 16, 26, 2539, 11038, 131, 115, 261, 25, 5558, 312, 131, 115, 13, 473, 1725, 18, 28, 7831, 19, 1222, 131, 115, 261, 8942, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 23, 473, 1059, 473, 312, 330, 12837, 17, 5558, 473, 3904, 23935, 17, 80, 2136, 13150, 335, 3838, 264, 473, 17335, 16, 12483, 7831, 261, 4313, 16, 3784, 417, 75, 13, 473, 1725, 16, 7616, 25, 11038, 131, 115, 261, 27, 6675, 312, 131, 115, 13, 473, 5045, 18, 25, 7831, 19, 1222, 131, 115, 261, 11212, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 24, 473, 1381, 473, 462, 17, 8643, 73, 2240, 384, 454, 285, 473, 3904, 23935, 17, 80, 2136, 13150, 335, 3838, 264, 473, 26103, 16, 12483, 7831, 261, 3707, 16, 19249, 417, 75, 13, 473, 1059, 16, 29, 713, 11038, 131, 115, 261, 24, 4848, 312, 131, 115, 13, 473, 4711, 7831, 19, 1222, 131, 115, 261, 9060, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 23350, 655, 67, 1826, 71, 5015, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 612, 473, 23350, 655, 67, 350, 473, 23350, 71, 5015, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1666, 473, 1381, 1736, 203, 21, 473, 576, 473, 576, 473, 404, 1736, 203, 22, 473, 890, 473, 404, 473, 576, 1736, 203, 23, 473, 1059, 473, 2468, 473, 890, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 23350, 71, 5015, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1059, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 3286, 628, 1603, 30321, 1625, 31307, 1545, 1059, 471, 5927, 67, 350, 67, 91, 7872, 273, 276, 267, 471, 884, 20910, 67, 350, 67, 383, 550, 480, 524, 471, 5927, 67, 350, 67, 383, 550, 273, 1619, 578, 268, 606, 480, 374, 578, 24528, 273, 404, 1335, 2027, 3286, 628, 7291, 67, 1293, 298, 908, 1625, 7291, 67, 350, 480, 417, 15491, 4840, 1611, 411, 2121, 67, 529, 34, 294, 1603, 30321, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3286, 473, 3643, 473, 5927, 67, 350, 67, 91, 7872, 473, 884, 20910, 67, 350, 67, 91, 7872, 473, 5927, 67, 350, 67, 383, 550, 473, 884, 20910, 67, 350, 67, 383, 550, 473, 31307, 473, 24528, 473, 268, 606, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6549, 5193, 473, 4945, 473, 450, 473, 7741, 473, 290, 879, 473, 12391, 473, 890, 473, 374, 473, 374, 1736, 203, 21, 473, 404, 5482, 25, 473, 4945, 473, 462, 71, 473, 7741, 473, 384, 80, 473, 12391, 473, 890, 473, 890, 473, 404, 1736, 203, 22, 473, 6549, 5292, 473, 4945, 473, 384, 80, 473, 12391, 473, 462, 71, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 23, 473, 404, 5482, 27, 473, 4945, 473, 3681, 82, 473, 7741, 473, 384, 80, 473, 12391, 473, 1728, 473, 1381, 473, 374, 1736, 203, 24, 473, 404, 5482, 28, 473, 4945, 473, 290, 4338, 473, 7741, 473, 384, 80, 473, 12391, 473, 1666, 473, 1059, 473, 374, 1736, 203, 25, 473, 404, 5482, 29, 473, 4945, 473, 290, 4338, 473, 7741, 473, 23670, 473, 12391, 473, 1666, 473, 890, 473, 374, 1736, 203, 26, 473, 6549, 9349, 473, 4945, 473, 23670, 473, 7741, 473, 437, 89, 473, 12391, 473, 890, 473, 890, 473, 404, 1736, 203, 27, 473, 6549, 9975, 473, 2873, 473, 7081, 82, 473, 7741, 473, 927, 90, 473, 7741, 473, 1381, 473, 374, 473, 404, 1736, 203, 28, 473, 5342, 4630, 473, 4945, 473, 23904, 473, 524, 473, 293, 305, 473, 7741, 473, 1381, 473, 890, 473, 374, 1736, 203, 29, 473, 5342, 6260, 473, 4945, 473, 15308, 21, 473, 7741, 473, 1844, 69, 473, 524, 473, 1059, 473, 404, 473, 374, 1736, 203, 2163, 473, 5342, 7677, 473, 4945, 473, 462, 69, 473, 524, 473, 462, 82, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 2499, 473, 5342, 8642, 473, 4945, 473, 462, 82, 473, 7741, 473, 3023, 473, 524, 473, 1059, 473, 374, 473, 374, 1736, 203, 2138, 473, 5342, 6840, 473, 4945, 473, 462, 82, 473, 7741, 473, 3023, 473, 524, 473, 1059, 473, 404, 473, 374, 1736, 203, 3437, 473, 5342, 5908, 473, 4945, 473, 293, 305, 473, 7741, 473, 3023, 473, 524, 473, 1059, 473, 890, 473, 374, 1736, 203, 3461, 473, 5342, 2163, 473, 4945, 473, 1844, 69, 473, 524, 473, 462, 82, 473, 7741, 473, 1059, 473, 404, 473, 374, 1736, 203, 3600, 473, 5342, 2499, 473, 4945, 473, 1844, 69, 473, 524, 473, 15308, 21, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 2313, 473, 5342, 2138, 473, 4945, 473, 23904, 473, 524, 473, 15308, 21, 473, 7741, 473, 1059, 473, 890, 473, 374, 1736, 203, 4033, 473, 5342, 3437, 473, 4945, 473, 1844, 69, 473, 524, 473, 15308, 21, 473, 7741, 473, 1059, 473, 404, 473, 374, 1736, 203, 2643, 473, 5342, 3461, 473, 4945, 473, 7081, 82, 473, 7741, 473, 1844, 69, 473, 524, 473, 1059, 473, 374, 473, 374, 1736, 203, 3657, 473, 5342, 3600, 473, 4945, 473, 23904, 473, 524, 473, 7706, 473, 7741, 473, 1059, 473, 404, 473, 374, 1736, 203, 3462, 473, 5342, 2313, 473, 4945, 473, 23904, 473, 524, 473, 23670, 473, 7741, 473, 1059, 473, 404, 473, 374, 1736, 203, 5340, 473, 5342, 4033, 473, 4945, 473, 462, 69, 473, 524, 473, 15308, 21, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 3787, 473, 5342, 2643, 473, 4945, 473, 23904, 473, 524, 473, 462, 82, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 4366, 473, 5342, 3657, 473, 4945, 473, 276, 267, 473, 7741, 473, 462, 69, 473, 524, 473, 1381, 473, 890, 473, 374, 1736, 203, 3247, 473, 5342, 3462, 473, 4945, 473, 1619, 473, 524, 473, 23670, 473, 7741, 473, 1381, 473, 576, 473, 374, 1736, 203, 2947, 473, 5342, 5340, 473, 4945, 473, 15308, 21, 473, 7741, 473, 15308, 69, 473, 524, 473, 1381, 473, 890, 473, 374, 1736, 203, 5558, 473, 5342, 3787, 473, 4945, 473, 15308, 21, 473, 7741, 473, 15308, 69, 473, 524, 473, 1059, 473, 374, 473, 374, 1736, 203, 5324, 473, 5342, 4366, 473, 4945, 473, 15308, 69, 473, 524, 473, 15308, 21, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 6030, 473, 5342, 3247, 473, 4945, 473, 4945, 21, 473, 524, 473, 15308, 21, 473, 7741, 473, 1059, 473, 890, 473, 374, 1736, 203, 5540, 473, 5342, 2947, 473, 4945, 473, 293, 305, 473, 7741, 473, 4945, 21, 473, 524, 473, 1059, 473, 890, 473, 374, 1736, 203, 5082, 473, 5342, 5558, 473, 4945, 473, 2020, 82, 473, 7741, 473, 15308, 69, 473, 524, 473, 1059, 473, 890, 473, 374, 1736, 203, 6938, 473, 5342, 5324, 473, 4945, 473, 15308, 69, 473, 524, 473, 293, 305, 473, 7741, 473, 1059, 473, 374, 473, 374, 1736, 203, 1578, 473, 5342, 6030, 473, 4945, 473, 15308, 69, 473, 524, 473, 2020, 82, 473, 7741, 473, 1059, 473, 374, 473, 374, 1736, 203, 3707, 473, 5342, 5540, 473, 4945, 473, 1844, 69, 473, 524, 473, 462, 82, 473, 7741, 473, 1059, 473, 404, 473, 374, 1736, 203, 5026, 473, 5342, 5082, 473, 4945, 473, 1844, 69, 473, 524, 473, 2020, 82, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 4763, 473, 5342, 6938, 473, 4945, 473, 2020, 82, 473, 7741, 473, 1844, 69, 473, 524, 473, 1059, 473, 890, 473, 374, 1736, 203, 5718, 473, 5342, 1578, 473, 4945, 473, 15308, 69, 473, 524, 473, 462, 82, 473, 7741, 473, 1059, 473, 374, 473, 374, 1736, 203, 6418, 473, 5342, 3707, 473, 4945, 473, 15308, 2 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3286, 1736, 203, 64, 13138, 5345, 203, 20, 473, 12461, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 7291, 67, 350, 628, 366, 454, 67, 792, 67, 74, 339, 1625, 3577, 273, 5342, 28, 471, 1547, 853, 329, 480, 290, 1335, 2027, 7291, 67, 350, 628, 3301, 67, 69, 2913, 67, 25911, 1625, 3143, 67, 1896, 1648, 31907, 578, 7291, 67, 350, 480, 312, 1289, 10007, 2733, 471, 884, 20910, 67, 350, 480, 7741, 471, 19588, 67, 3645, 480, 404, 471, 279, 2913, 67, 350, 273, 13333, 434, 326, 3286, 578, 3286, 1545, 4044, 22, 578, 3143, 67, 91, 265, 405, 1059, 411, 2121, 67, 529, 34, 294, 366, 454, 67, 792, 67, 74, 339, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 3286, 350, 473, 331, 16474, 1637, 473, 26503, 6968, 473, 3577, 473, 19588, 473, 1547, 853, 329, 473, 3150, 473, 3577, 67, 7652, 1736, 203, 64, 13138, 5345, 203, 20, 473, 12731, 70, 4098, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 576, 3787, 473, 677, 473, 7291, 473, 225, 1736, 203, 21, 473, 436, 795, 12124, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 576, 3600, 473, 677, 473, 7291, 473, 225, 1736, 203, 22, 473, 341, 346, 4644, 15008, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 576, 3600, 473, 677, 473, 7291, 473, 225, 1736, 203, 23, 473, 4233, 8987, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 4200, 25, 473, 677, 473, 7291, 473, 225, 1736, 203, 24, 473, 525, 16699, 2387, 91, 69, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 6549, 29, 473, 677, 473, 7291, 473, 225, 1736, 203, 25, 473, 328, 4365, 885, 69, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 5045, 26, 473, 290, 473, 7291, 473, 225, 1736, 203, 26, 473, 272, 10244, 313, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 30537, 473, 290, 473, 7291, 473, 225, 1736, 203, 27, 473, 677, 465, 75, 2431, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 16344, 473, 290, 473, 7291, 473, 225, 1736, 203, 28, 473, 29404, 2387, 303, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 23633, 473, 290, 473, 7291, 473, 225, 1736, 203, 29, 473, 1825, 343, 8864, 77, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 8958, 473, 290, 473, 7291, 473, 225, 1736, 203, 2163, 473, 272, 291, 298, 908, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 28244, 473, 290, 473, 7291, 473, 225, 1736, 203, 2499, 473, 645, 549, 329, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 4752, 473, 290, 473, 7291, 473, 225, 1736, 203, 2138, 473, 645, 549, 21102, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 17066, 473, 290, 473, 7291, 473, 225, 1736, 203, 3437, 473, 279, 4149, 1273, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 21483, 473, 290, 473, 7291, 473, 225, 1736, 203, 3461, 473, 8244, 7256, 31703, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 21119, 473, 290, 473, 7291, 473, 225, 1736, 203, 3600, 473, 324, 455, 82, 303, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 17495, 473, 290, 473, 7291, 473, 225, 1736, 203, 2313, 473, 12519, 292, 359, 77, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 8063, 473, 290, 473, 7291, 473, 225, 1736, 203, 4033, 473, 392, 816, 5353, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 16977, 473, 290, 473, 7291, 473, 225, 1736, 203, 2643, 473, 22722, 310, 70, 89, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 16977, 473, 290, 473, 7291, 473, 225, 1736, 203, 3657, 473, 12519, 292, 359, 77, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 13159, 473, 290, 473, 7291, 473, 225, 1736, 203, 3462, 473, 341, 361, 765, 89, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 13159, 473, 290, 473, 7291, 473, 225, 1736, 203, 5340, 473, 677, 465, 75, 2431, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 3847, 473, 290, 473, 7291, 473, 225, 1736, 203, 3787, 473, 1464, 9795, 329, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 9035, 473, 290, 473, 7291, 473, 225, 1736, 203, 4366, 473, 284, 2409, 92, 21102, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 9035, 473, 290, 473, 7291, 473, 225, 1736, 203, 3247, 473, 29051, 674, 329, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 4200, 473, 290, 473, 7291, 473, 225, 1736, 203, 2947, 473, 6108, 2752, 30952, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 8043, 473, 290, 473, 7291, 473, 225, 1736, 203, 5558, 473, 1464, 9795, 329, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 8043, 473, 290, 473, 7291, 473, 225, 1736, 203, 5324, 473, 6719, 1075, 343, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 2872, 473, 290, 473, 7291, 473, 225, 1736, 203, 6030, 473, 268, 435, 6782, 77, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 2872, 473, 290, 473, 7291, 473, 225, 1736, 203, 5540, 473, 29861, 715, 15299, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 4711, 473, 290, 473, 7291, 473, 225, 1736, 2 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 443, 21617, 1611, 1736, 203, 21, 473, 3142, 8683, 287, 1611, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 2142, 12, 88, 21, 18, 319, 14462, 1187, 73, 295, 67, 350, 3631, 268, 22, 18, 28035, 67, 350, 628, 3281, 14462, 1187, 73, 295, 487, 268, 21, 1233, 16951, 487, 268, 22, 603, 268, 21, 18, 28035, 67, 350, 273, 268, 22, 18, 28035, 67, 350, 411, 2121, 67, 529, 34, 294, 3281, 14462, 1187, 73, 295, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3281, 14462, 1187, 73, 295, 67, 350, 473, 16951, 67, 350, 473, 9395, 473, 15601, 67, 19065, 473, 2198, 395, 280, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 225, 3592, 922, 715, 473, 4711, 2787, 18, 20, 473, 302, 551, 304, 324, 1072, 270, 878, 73, 1736, 203, 21, 473, 576, 473, 576, 473, 3087, 14573, 328, 4465, 473, 2593, 2787, 18, 20, 473, 741, 637, 23657, 1060, 1736, 203, 22, 473, 890, 473, 890, 473, 884, 3931, 975, 473, 22431, 3784, 18, 20, 473, 767, 343, 292, 415, 6582, 2127, 1736, 203, 23, 473, 1059, 473, 1381, 473, 4674, 5861, 473, 1381, 2787, 18, 20, 473, 293, 847, 525, 5322, 1736, 203, 24, 473, 1381, 473, 1666, 473, 3399, 17515, 76, 452, 287, 14908, 473, 18821, 3784, 18, 20, 473, 3142, 265, 341, 4773, 303, 1403, 73, 1736, 203, 25, 473, 1666, 473, 1725, 473, 415, 452, 378, 546, 24902, 1917, 328, 4465, 473, 4648, 2787, 18, 20, 473, 302, 551, 304, 324, 1072, 270, 878, 73, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 16951, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 16951, 67, 350, 473, 508, 473, 2072, 473, 3119, 473, 1509, 67, 792, 67, 22531, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 284, 2450, 71, 742, 83, 1603, 360, 80, 285, 73, 473, 404, 18, 29, 473, 8958, 18, 20, 473, 5342, 9060, 17, 3028, 17, 5540, 1736, 203, 21, 473, 576, 473, 884, 265, 1060, 83, 4158, 24010, 473, 404, 18, 5292, 473, 15981, 18, 20, 473, 5342, 5877, 17, 6840, 17, 5324, 1736, 203, 22, 473, 890, 473, 22836, 86, 452, 1594, 25666, 265, 504, 479, 473, 404, 18, 10261, 473, 12292, 18, 20, 473, 5342, 4700, 17, 3028, 17, 6030, 1736, 203, 23, 473, 1059, 473, 21282, 2894, 314, 264, 8767, 473, 404, 18, 9060, 473, 18821, 18, 20, 473, 5342, 11212, 17, 6840, 17, 6260, 1736, 203, 24, 473, 1381, 473, 721, 744, 869, 7029, 2045, 354, 473, 404, 18, 5877, 473, 21017, 18, 20, 473, 5342, 9060, 17, 3103, 17, 7677, 1736, 203, 25, 473, 1666, 473, 10330, 304, 7314, 479, 496, 8767, 473, 404, 18, 8285, 473, 28308, 18, 20, 473, 5342, 11861, 17, 2499, 17, 5340, 1736, 203, 26, 473, 2371, 473, 524, 744, 869, 7603, 292, 8767, 473, 404, 18, 11149, 473, 17066, 18, 20, 473, 5342, 5608, 17, 5908, 17, 6030, 1736, 203, 27, 473, 1725, 473, 10843, 295, 452, 1594, 284, 292, 637, 83, 473, 404, 18, 8778, 473, 22997, 18, 20, 473, 5342, 11861, 17, 4630, 17, 3028, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2142, 12, 88, 21, 18, 319, 14462, 1187, 73, 295, 67, 350, 13, 473, 16951, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 9035, 473, 404, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
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	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 5023, 67, 917, 473, 11152, 12, 88, 22, 18, 6874, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 5342, 3672, 18, 23, 3461, 8285, 5718, 5324, 24, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 1087, 67, 350, 628, 1087, 67, 643, 87, 1625, 1087, 67, 643, 67, 350, 411, 2468, 7812, 2027, 1087, 67, 350, 628, 2140, 1625, 13765, 429, 67, 8949, 273, 2468, 471, 1087, 67, 350, 411, 404, 578, 1087, 67, 529, 480, 7689, 471, 13765, 429, 67, 878, 273, 404, 411, 2121, 67, 529, 34, 294, 1087, 67, 643, 87, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1087, 67, 643, 67, 350, 473, 1087, 67, 350, 473, 12530, 67, 6620, 67, 529, 473, 12530, 67, 3384, 473, 1308, 67, 643, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 21, 473, 576, 473, 404, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 22, 473, 890, 473, 890, 473, 2339, 473, 1760, 2140, 7194, 473, 225, 1736, 203, 23, 473, 1059, 473, 404, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 24, 473, 1381, 473, 404, 473, 14721, 473, 16212, 3159, 7194, 473, 225, 1736, 203, 25, 473, 1666, 473, 576, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 26, 473, 2371, 473, 404, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 27, 473, 1725, 473, 890, 473, 2339, 473, 1760, 2140, 7194, 473, 225, 1736, 203, 28, 473, 2468, 473, 890, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 29, 473, 1728, 473, 404, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 2163, 473, 4648, 473, 890, 473, 14721, 473, 16212, 3159, 7194, 473, 225, 1736, 203, 2499, 473, 2593, 473, 576, 473, 14721, 473, 16212, 3159, 7194, 473, 225, 1736, 203, 2138, 473, 5958, 473, 890, 473, 2339, 473, 1760, 2140, 7194, 473, 225, 1736, 203, 3437, 473, 5045, 473, 404, 473, 2339, 473, 1760, 2140, 7194, 473, 225, 1736, 203, 3461, 473, 4711, 473, 890, 473, 14721, 473, 16212, 3159, 7194, 571, 473, 6555, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 2140, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1087, 67, 350, 473, 1087, 67, 529, 473, 13765, 429, 67, 878, 473, 13765, 429, 67, 8949, 473, 1308, 67, 2680, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1760, 473, 374, 473, 1059, 473, 225, 1736, 203, 21, 473, 576, 473, 7689, 473, 404, 473, 2468, 473, 225, 1736, 203, 22, 473, 890, 473, 2181, 473, 404, 473, 2468, 571, 473, 6555, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1087, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 1736, 203, 21, 473, 576, 1736, 203, 22, 473, 890, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
[ [ 1, 4025, 1131, 12, 88, 21, 18, 1911, 3631, 268, 22, 18, 3652, 628, 10810, 2413, 487, 268, 21, 1233, 729, 67, 18314, 487, 268, 22, 603, 268, 21, 18, 1911, 273, 268, 22, 18, 1911, 1625, 977, 480, 277, 437, 537, 3399, 394, 800, 93, 74, 7522, 18, 578, 2522, 340, 273, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 471, 2805, 414, 405, 1666, 6028, 3247, 2947, 471, 3590, 350, 273, 404, 578, 2699, 480, 7976, 36, 9565, 10983, 18, 832, 1041, 635, 2522, 340, 7999, 2522, 340, 480, 14863, 17, 4630, 17, 5908, 4200, 30, 1611, 30, 3103, 471, 508, 480, 277, 1949, 3161, 578, 943, 12, 350, 13, 1648, 404, 578, 2699, 480, 11375, 304, 36, 75, 4408, 18, 832, 203, 471, 2805, 414, 411, 1666, 6028, 3247, 2947, 1353, 635, 2699, 3044, 1800, 576, 411, 2121, 67, 529, 34, 294, 10810, 2413, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 612, 473, 4555, 473, 977, 473, 2522, 340, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 19439, 277, 17784, 268, 6598, 384, 1313, 18, 473, 14863, 17, 4630, 17, 5908, 4200, 30, 713, 30, 3461, 1736, 203, 21, 473, 576, 473, 890, 473, 10074, 277, 1240, 16343, 12122, 1382, 622, 328, 1727, 507, 93, 7637, 18, 473, 14863, 17, 4630, 17, 5908, 4200, 30, 1611, 30, 3103, 1736, 203, 22, 473, 1059, 473, 404, 473, 3399, 9395, 353, 366, 11256, 8216, 87, 18, 473, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 1736, 203, 23, 473, 1381, 473, 1059, 473, 29797, 16, 277, 1338, 1240, 279, 11315, 284, 634, 18, 473, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 1736, 203, 24, 473, 1666, 473, 1666, 473, 2231, 132, 100, 131, 227, 131, 252, 87, 276, 6516, 2848, 340, 341, 362, 275, 16, 284, 750, 364, 14958, 471, 2865, 1517, 1308, 16, 225, 486, 2537, 10074, 16, 1496, 3614, 2881, 5, 473, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 1736, 203, 25, 473, 2371, 473, 1381, 473, 277, 437, 537, 3399, 394, 800, 93, 74, 7522, 18, 473, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 1736, 203, 26, 473, 1725, 473, 1059, 473, 277, 1656, 292, 268, 2921, 471, 2727, 1404, 2545, 358, 1045, 1847, 87, 18, 473, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 1736, 203, 27, 473, 2468, 473, 1666, 473, 277, 9323, 279, 7517, 23909, 813, 4982, 326, 1142, 1825, 2268, 434, 17314, 473, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 729, 67, 18314, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 4555, 473, 508, 473, 2699, 473, 3590, 350, 473, 2805, 414, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 277, 1949, 3161, 473, 3742, 36, 12761, 395, 18, 832, 473, 404, 473, 1666, 6028, 3247, 2947, 1736, 203, 21, 473, 576, 473, 312, 814, 473, 312, 814, 36, 93, 5349, 18, 28049, 473, 576, 473, 1725, 9349, 1736, 203, 22, 473, 890, 473, 7721, 15481, 543, 473, 12986, 36, 9565, 1614, 83, 18, 832, 473, 10213, 473, 890, 6564, 2947, 5193, 25, 1736, 203, 23, 473, 1059, 473, 11375, 304, 473, 11375, 304, 36, 75, 4408, 18, 832, 473, 404, 473, 2130, 1736, 203, 24, 473, 1381, 473, 13806, 749, 30331, 473, 3742, 36, 9565, 10983, 18, 832, 473, 1728, 473, 2468, 22866, 28, 1736, 203, 25, 473, 1666, 473, 276, 3027, 302, 285, 473, 7976, 36, 9565, 10983, 18, 832, 473, 1381, 473, 576, 5520, 5324, 7616, 22, 1736, 203, 26, 473, 2371, 473, 290, 3145, 1385, 1756, 4728, 473, 1130, 36, 9565, 10983, 18, 832, 473, 1381, 473, 2468, 8942, 5877, 24, 6030, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]	[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 88, 21, 18, 1911, 13, 473, 2699, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 3742, 36, 12761, 395, 18, 832, 1736, 203, 21, 473, 404, 473, 7976, 36, 9565, 10983, 18, 832, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 11152, 12, 88, 21, 18, 25090, 350, 3631, 268, 22, 18, 25737, 350, 628, 14844, 487, 268, 21, 1233, 15469, 487, 268, 22, 603, 268, 21, 18, 25737, 350, 273, 268, 22, 18, 25737, 350, 1625, 2077, 480, 596, 8820, 471, 508, 273, 279, 1468, 69, 9978, 83, 578, 14844, 350, 273, 3847, 26, 411, 2121, 67, 529, 34, 294, 14844, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 14844, 350, 473, 2077, 473, 15469, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 364, 5348, 2973, 358, 23486, 732, 12814, 624, 1846, 473, 404, 1736, 203, 21, 473, 576, 473, 26503, 87, 358, 326, 17662, 473, 576, 1736, 203, 22, 473, 890, 473, 3127, 2656, 471, 23578, 473, 576, 1736, 203, 23, 473, 1059, 473, 2231, 1915, 506, 23486, 473, 404, 1736, 203, 24, 473, 1381, 473, 5446, 5945, 473, 890, 1736, 203, 25, 473, 1666, 473, 525, 346, 2423, 12720, 293, 737, 473, 1059, 1736, 203, 26, 473, 2371, 473, 5853, 292, 2136, 473, 1381, 1736, 203, 27, 473, 1725, 473, 21983, 1224, 6969, 392, 538, 473, 1666, 1736, 203, 28, 473, 2468, 473, 6599, 87, 5100, 454, 26433, 635, 12792, 276, 8996, 87, 473, 2371, 1736, 203, 29, 473, 1728, 473, 20232, 7441, 80, 836, 473, 1725, 1736, 203, 2163, 473, 4648, 473, 596, 434, 431, 398, 473, 1725, 1736, 203, 2499, 473, 2593, 473, 1473, 2196, 270, 14190, 4101, 473, 2468, 1736, 203, 2138, 473, 5958, 473, 326, 3796, 434, 324, 330, 715, 12731, 31698, 473, 1728, 1736, 203, 3437, 473, 5045, 473, 524, 2894, 76, 355, 284, 20317, 329, 324, 266, 6046, 7919, 8429, 5, 306, 2251, 71, 404, 65, 473, 4648, 1736, 203, 3461, 473, 4711, 473, 524, 2894, 76, 355, 284, 20317, 329, 324, 266, 6046, 7919, 8429, 5, 306, 2251, 71, 576, 65, 473, 4648, 1736, 203, 3600, 473, 2872, 473, 7721, 272, 19364, 421, 473, 2593, 1736, 203, 2313, 473, 8043, 473, 7721, 272, 19364, 421, 6626, 18, 1059, 261, 2764, 2440, 13, 473, 2593, 1736, 203, 4033, 473, 6549, 473, 1417, 1056, 473, 5958, 1736, 203, 2643, 473, 5342, 473, 19028, 1706, 341, 329, 7459, 473, 5045, 1736, 203, 3657, 473, 4200, 473, 326, 3796, 434, 324, 29017, 3058, 93, 300, 326, 312, 737, 17327, 1849, 473, 4711, 1736, 203, 3462, 473, 9035, 473, 675, 82, 2414, 1131, 3395, 473, 2872, 1736, 203, 5340, 473, 11201, 473, 1427, 94, 267, 15008, 849, 697, 18528, 331, 20593, 473, 2872, 1736, 203, 3787, 473, 10213, 473, 1131, 3395, 5356, 280, 1155, 473, 8043, 1736, 203, 4366, 473, 4248, 473, 10073, 303, 71, 14776, 3771, 1155, 473, 6549, 1736, 203, 3247, 473, 6969, 473, 5248, 17310, 69, 18528, 3474, 538, 473, 6549, 1736, 203, 2947, 473, 10659, 473, 1721, 132, 101, 131, 123, 334, 10764, 5874, 90, 306, 16472, 65, 473, 5342, 1736, 203, 5558, 473, 12732, 473, 7504, 2486, 1073, 2752, 300, 11076, 473, 5342, 1736, 203, 5324, 473, 9131, 473, 9583, 293, 376, 69, 473, 4200, 1736, 203, 6030, 473, 12899, 473, 1740, 132, 101, 131, 107, 324, 9795, 1155, 4044, 21, 473, 9035, 1736, 203, 5540, 473, 5196, 473, 7129, 71, 8856, 306, 2251, 71, 404, 65, 306, 16472, 65, 473, 11201, 1736, 203, 5082, 473, 8231, 473, 324, 5409, 284, 22498, 473, 10213, 1736, 203, 6938, 473, 3847, 473, 276, 1303, 842, 287, 4044, 21, 473, 9035, 1736, 203, 1578, 473, 13159, 473, 462, 737, 473, 6555, 1736, 203, 3707, 473, 13438, 473, 462, 737, 473, 6555, 1736, 203, 5026, 473, 13191, 473, 314, 297, 410, 7290, 18, 261, 2251, 71, 404, 13, 473, 6437, 1736, 203, 4763, 473, 6580, 473, 18825, 395, 11076, 6072, 473, 21119, 1736, 203, 5718, 473, 18091, 473, 18825, 395, 417, 1054, 473, 18106, 1736, 203, 6418, 473, 18012, 473, 3904, 485, 434, 326, 290, 750, 473, 15935, 1736, 203, 7414, 473, 16977, 473, 29553, 2240, 15173, 473, 22431, 1736, 203, 5520, 473, 8063, 473, 1368, 326, 9052, 473, 21483, 1736, 203, 7132, 473, 20170, 473, 1791, 407, 10382, 538, 473, 13850, 1736, 203, 9803, 473, 14856, 473, 1131, 3395, 5356, 132, 101, 131, 116, 19263, 473, 15981, 1736, 203, 9452, 473, 21193, 473, 5028, 277, 2835, 326, 727, 356, 24596, 306, 2251, 71, 404, 65, 473, 17066, 1736, 203, 8942, 473, 13291, 473, 11640, 3087, 1403, 305, 77, 306, 2251, 71, 404, 65, 473, 11201, 1736, 203, 6334, 473, 12292, 473, 272, 2536, 345, 443, 570, 1118, 83, 4044, 21, 473, 9035, 1736, 203, 7950, 473, 17077, 473, 2240, 18757, 3766, 473, 14995, 1736, 203, 8749, 473, 17495, 473, 326, 3796, 434, 1675, 11310, 2351, 473, 18091, 1736, 203, 9462, 473, 9934, 473, 326, 18518, 2001, 312, 1449, 302, 842, 291, 306, 2251, 71, 404, 65, 473, 23797, 1736, 203, 8875, 473, 17160, 473, 326, 18518, 2001, 312, 1449, 302, 842, 291, 306, 2251, 71, 576, 65, 473, 23797, 1736, 203, 7616, 473, 6437, 473, 326, 727, 356, 24596, 261, 2251, 71, 576, 13, 473, 17066, 1736, 203, 3361, 473, 21119, 473, 731, 392, 11, 3179, 473, 20963, 1736, 203, 10593, 473, 18106, 473, 331, 267, 132, 101, 131, 260, 71, 8384, 443, 312, 10610, 281, 300, 6111, 1800, 73, 473, 16647, 1736, 203, 9401, 473, 15935, 473, 331, 11142, 281, 741, 312, 5733, 473, 9035, 1736, 203, 8643, 473, 22431, 473, 12227, 3711, 16, 6626, 18, 404, 473, 22997, 1736, 203, 6564, 473, 21483, 473, 12227, 3711, 16, 6626, 18, 576, 473, 22997, 1736, 203, 2539, 473, 13850, 473, 276, 132, 101, 131, 99, 1049, 1155, 415, 749, 300, 276, 790, 132, 101, 131, 105, 132, 101, 131, 101, 83, 6111, 1800, 73, 306, 2251, 71, 576, 65, 473, 28244, 1736, 203, 4313, 473, 15981, 473, 276, 132, 101, 131, 99, 1049, 1155, 415, 749, 300, 6111, 1800, 73, 306, 2251, 71, 404, 65, 473, 28244, 1736, 203, 10321, 473, 17066, 473, 12404, 268, 14725, 326, 8937, 473, 17066, 1736, 203, 8204, 473, 14995, 473, 4608, 5405, 1802, 316, 23486, 473, 17066, 1736, 203, 6162, 473, 4752, 473, 4452, 19067, 473, 17066, 1736, 203, 4848, 473, 17845, 473, 15516, 975, 310, 622, 3433, 1473, 2 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 88, 21, 18, 25090, 350, 13, 473, 15469, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 11290, 473, 24527, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1056, 12, 88, 21, 18, 6874, 3631, 268, 22, 18, 334, 5913, 628, 21360, 487, 268, 21, 1233, 13953, 487, 268, 22, 603, 268, 21, 18, 13138, 273, 268, 22, 18, 13138, 1625, 10911, 1545, 3786, 578, 11152, 12, 334, 5913, 13, 411, 576, 411, 2121, 67, 529, 34, 294, 21360, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7501, 473, 2077, 473, 3286, 473, 2657, 280, 1736, 203, 64, 13138, 5345, 203, 20, 473, 13822, 473, 22296, 598, 326, 17064, 473, 5342, 5520, 473, 28873, 280, 284, 3269, 310, 1736, 203, 21, 473, 21822, 473, 10443, 341, 5913, 473, 5342, 4700, 473, 8244, 280, 908, 328, 5286, 345, 1736, 203, 22, 473, 1728, 23, 473, 326, 14190, 434, 26225, 473, 5342, 9222, 473, 721, 25925, 24754, 1736, 203, 23, 473, 21856, 473, 425, 18, 88, 18, 473, 5342, 11149, 473, 384, 16728, 14673, 292, 31317, 1736, 203, 24, 473, 23633, 473, 268, 305, 304, 335, 473, 23673, 27, 473, 525, 753, 5861, 264, 265, 1736, 203, 25, 473, 1728, 26, 473, 272, 3338, 9578, 473, 5342, 6418, 473, 225, 1736, 203, 26, 473, 1728, 27, 473, 16910, 473, 4044, 29, 473, 525, 753, 5861, 264, 265, 1736, 203, 27, 473, 23515, 473, 767, 24290, 434, 326, 13557, 419, 79, 473, 5342, 11861, 473, 384, 16728, 14673, 292, 31317, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 13953, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 10911, 473, 7501, 473, 24084, 473, 13953, 712, 1736, 203, 64, 13138, 5345, 203, 20, 473, 3786, 473, 13822, 473, 576, 473, 27853, 17, 1611, 17, 3787, 1736, 203, 21, 473, 3786, 473, 13822, 473, 1059, 473, 27853, 17, 1611, 17, 5324, 1736, 203, 22, 473, 26599, 473, 1728, 26, 473, 1059, 473, 225, 1736, 203, 23, 473, 4200, 23, 473, 1728, 23, 473, 576, 473, 27853, 17, 1611, 17, 3462, 1736, 203, 24, 473, 4200, 23, 473, 23515, 473, 1059, 473, 27853, 17, 1611, 17, 2138, 1736, 203, 25, 473, 4200, 23, 473, 23515, 473, 576, 473, 27853, 17, 1611, 17, 5082, 1736, 203, 26, 473, 11492, 473, 13822, 473, 890, 473, 27853, 17, 1611, 17, 5908, 1736, 203, 27, 473, 4200, 25, 473, 1728, 23, 473, 890, 473, 27853, 17, 1611, 17, 5324, 1736, 203, 28, 473, 4200, 25, 473, 21856, 473, 576, 473, 27853, 17, 1611, 17, 3787, 1736, 203, 29, 473, 4200, 25, 473, 23515, 473, 1059, 473, 225, 1736, 203, 2163, 473, 4200, 26, 473, 1728, 27, 473, 890, 473, 27853, 17, 1611, 17, 3600, 1736, 203, 2499, 473, 4200, 26, 473, 1728, 26, 473, 1381, 473, 27853, 17, 1611, 17, 3657, 1736, 203, 2138, 473, 4200, 27, 473, 1728, 27, 473, 1381, 473, 27853, 17, 1611, 17, 3462, 1736, 203, 3437, 473, 4200, 28, 473, 21856, 473, 890, 473, 27853, 17, 1611, 17, 3103, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1056, 12, 88, 21, 18, 6874, 13, 473, 24084, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5045, 473, 576, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1131, 12, 3994, 3631, 2142, 12, 28204, 1371, 67, 350, 13, 628, 18551, 1371, 1625, 618, 273, 3238, 578, 7324, 480, 1059, 451, 7324, 578, 18551, 1371, 480, 293, 318, 9795, 1395, 18551, 1371, 578, 18551, 1371, 67, 350, 273, 404, 578, 2117, 480, 24338, 355, 18160, 16, 366, 2219, 69, 2835, 7812, 777, 2027, 1131, 12, 3994, 3631, 2142, 12, 28204, 1371, 67, 350, 13, 628, 18551, 1371, 1625, 2117, 480, 525, 581, 485, 69, 16, 1547, 5322, 1155, 411, 2121, 67, 529, 34, 294, 18551, 1371, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 18551, 1371, 67, 350, 473, 7324, 473, 18551, 1371, 473, 2117, 473, 618, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 3846, 18639, 485, 275, 473, 1158, 292, 28662, 930, 814, 18551, 1371, 473, 24338, 355, 18160, 16, 366, 2219, 69, 2835, 473, 1071, 1736, 203, 21, 473, 576, 473, 404, 334, 17, 23, 13623, 7324, 473, 384, 18, 284, 2450, 71, 291, 1551, 291, 77, 473, 525, 581, 485, 69, 16, 1547, 5322, 1155, 473, 3238, 276, 421, 1415, 1736, 203, 22, 473, 890, 473, 1059, 451, 7324, 473, 919, 930, 814, 18551, 1371, 312, 319, 24688, 8743, 473, 525, 581, 485, 69, 16, 1547, 5322, 1155, 473, 1071, 1736, 203, 23, 473, 1059, 473, 1381, 451, 17, 2138, 451, 7324, 473, 293, 318, 9795, 1395, 18551, 1371, 473, 24338, 355, 18160, 16, 366, 2219, 69, 2835, 473, 3238, 1736, 203, 24, 473, 1381, 473, 12186, 4728, 163, 227, 246, 87, 556, 17125, 479, 3286, 473, 9145, 6392, 287, 645, 298, 908, 473, 22148, 7603, 19880, 16, 1443, 430, 14245, 1155, 473, 3238, 1736, 203, 25, 473, 1666, 473, 525, 318, 9659, 163, 227, 246, 87, 275, 9659, 3286, 473, 645, 3592, 1155, 640, 6760, 560, 473, 394, 677, 778, 12797, 473, 3238, 1736, 203, 26, 473, 2371, 473, 645, 298, 908, 473, 17895, 90, 1060, 328, 2219, 18551, 1371, 473, 276, 2536, 5404, 16, 8039, 497, 407, 278, 3428, 473, 3238, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 18551, 1371, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 18551, 1371, 67, 350, 473, 7324, 473, 18551, 1371, 473, 2117, 473, 618, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 3846, 18639, 485, 275, 473, 1158, 292, 28662, 930, 814, 18551, 1371, 473, 24338, 355, 18160, 16, 366, 2219, 69, 2835, 473, 1071, 1736, 203, 21, 473, 576, 473, 404, 334, 17, 23, 13623, 7324, 473, 384, 18, 284, 2450, 71, 291, 1551, 291, 77, 473, 525, 581, 485, 69, 16, 1547, 5322, 1155, 473, 3238, 276, 421, 1415, 1736, 203, 22, 473, 890, 473, 1059, 451, 7324, 473, 919, 930, 814, 18551, 1371, 312, 319, 24688, 8743, 473, 525, 581, 485, 69, 16, 1547, 5322, 1155, 473, 1071, 1736, 203, 23, 473, 1059, 473, 1381, 451, 17, 2138, 451, 7324, 473, 293, 318, 9795, 1395, 18551, 1371, 473, 24338, 355, 18160, 16, 366, 2219, 69, 2835, 473, 3238, 1736, 203, 24, 473, 1381, 473, 12186, 4728, 163, 227, 246, 87, 556, 17125, 479, 3286, 473, 9145, 6392, 287, 645, 298, 908, 473, 22148, 7603, 19880, 16, 1443, 430, 14245, 1155, 473, 3238, 1736, 203, 25, 473, 1666, 473, 525, 318, 9659, 163, 227, 246, 87, 275, 9659, 3286, 473, 645, 3592, 1155, 640, 6760, 560, 473, 394, 677, 778, 12797, 473, 3238, 1736, 203, 26, 473, 2371, 473, 645, 298, 908, 473, 17895, 90, 1060, 328, 2219, 18551, 1371, 473, 276, 2536, 5404, 16, 8039, 497, 407, 278, 3428, 473, 3238, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 3994, 13, 473, 2142, 12, 28204, 1371, 67, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 334, 17, 23, 13623, 7324, 473, 9131, 1736, 203, 21, 473, 1381, 451, 17, 2138, 451, 7324, 473, 10213, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 325, 303, 67, 350, 16, 508, 67, 2722, 16, 1216, 16, 17057, 67, 9082, 16, 7291, 67, 350, 16, 3119, 16, 443, 421, 67, 6874, 16, 17057, 67, 2881, 628, 7291, 1625, 3119, 405, 404, 7301, 471, 7129, 1734, 67, 350, 273, 1825, 92, 2414, 1611, 578, 508, 67, 2722, 273, 394, 832, 2196, 578, 17057, 67, 14240, 273, 767, 90, 773, 31836, 578, 325, 303, 67, 350, 480, 324, 1054, 72, 15168, 578, 443, 12885, 480, 5342, 8898, 17, 3028, 17, 2163, 578, 17057, 67, 2019, 273, 12837, 578, 1216, 480, 436, 471, 443, 421, 67, 9082, 480, 225, 578, 2072, 480, 26103, 578, 17057, 67, 6874, 1545, 5342, 4630, 578, 17057, 67, 7496, 405, 2371, 471, 508, 67, 10822, 480, 12814, 90, 23671, 525, 2584, 471, 17057, 67, 9082, 273, 584, 69, 7812, 2027, 325, 303, 67, 350, 16, 508, 67, 2722, 16, 1216, 16, 17057, 67, 9082, 16, 7291, 67, 350, 16, 3119, 16, 443, 421, 67, 6874, 16, 17057, 67, 2881, 628, 7291, 1625, 7291, 67, 350, 480, 314, 737, 30952, 1611, 471, 1216, 480, 436, 471, 443, 421, 67, 7496, 273, 225, 471, 443, 421, 67, 6874, 273, 225, 471, 17057, 67, 9082, 480, 584, 69, 471, 17057, 67, 7496, 1648, 2468, 578, 443, 421, 67, 14240, 273, 721, 343, 7654, 578, 17057, 67, 14240, 480, 276, 4610, 292, 471, 17057, 67, 2019, 480, 3474, 578, 727, 67, 13957, 273, 12461, 17, 2163, 17, 4630, 578, 2072, 273, 18821, 578, 443, 421, 67, 9082, 480, 584, 69, 471, 508, 67, 3645, 273, 324, 547, 471, 508, 67, 10822, 480, 14961, 81, 1434, 328, 2439, 93, 471, 17057, 67, 2881, 411, 4248, 471, 443, 421, 67, 2019, 273, 225, 471, 324, 2323, 480, 328, 471, 7129, 1734, 67, 350, 273, 3311, 70, 6516, 1611, 471, 508, 67, 2722, 480, 272, 304, 343, 6664, 578, 325, 303, 67, 350, 480, 23432, 1100, 15168, 578, 443, 421, 67, 2881, 273, 225, 411, 2121, 67, 529, 34, 294, 7291, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 17057, 67, 6874, 473, 17057, 67, 7496, 473, 17057, 67, 2881, 473, 17057, 67, 9082, 473, 17057, 67, 2019, 473, 17057, 67, 14240, 473, 443, 421, 67, 6874, 473, 443, 421, 67, 7496, 473, 443, 421, 67, 2881, 473, 443, 421, 67, 9082, 473, 443, 421, 67, 2019, 473, 443, 421, 67, 14240, 473, 508, 67, 3645, 473, 508, 67, 2722, 473, 508, 67, 10822, 473, 3119, 473, 2072, 473, 324, 2323, 473, 1216, 473, 443, 12885, 473, 727, 67, 13957, 473, 325, 303, 67, 350, 473, 7129, 1734, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 279, 14727, 2414, 1611, 473, 5342, 11861, 473, 2593, 473, 12732, 473, 584, 69, 473, 1825, 473, 5545, 502, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 302, 842, 350, 473, 279, 14727, 2540, 473, 302, 842, 350, 777, 304, 473, 576, 3462, 473, 18821, 473, 436, 473, 436, 473, 4044, 24, 17, 3028, 17, 7677, 473, 12461, 17, 6840, 17, 4366, 473, 279, 297, 449, 11664, 473, 279, 14727, 2414, 1611, 1736, 203, 21, 473, 279, 297, 265, 3395, 1611, 473, 5342, 5026, 473, 576, 473, 1381, 473, 584, 69, 473, 524, 473, 13411, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 366, 2304, 473, 279, 297, 265, 473, 366, 275, 1176, 437, 89, 291, 473, 9259, 473, 19387, 473, 436, 473, 436, 473, 5342, 6564, 17, 3028, 17, 3437, 473, 5342, 6669, 17, 2163, 17, 4630, 473, 279, 14349, 76, 15168, 473, 279, 297, 265, 3395, 1611, 1736, 203, 22, 473, 279, 297, 265, 869, 1611, 473, 5342, 5520, 473, 1725, 473, 1381, 473, 584, 69, 473, 524, 473, 13411, 473, 5342, 5193, 473, 1725, 473, 2872, 473, 584, 69, 473, 18812, 473, 622, 80, 27677, 473, 358, 7020, 1385, 473, 279, 297, 265, 473, 358, 7020, 1385, 884, 73, 473, 5342, 20, 473, 18821, 473, 436, 473, 436, 473, 5342, 8898, 17, 3028, 17, 2163, 473, 5342, 11212, 17, 5908, 17, 5558, 473, 279, 297, 352, 15168, 473, 279, 297, 265, 869, 1611, 1736, 203, 23, 473, 279, 448, 2896, 1611, 473, 5342, 6564, 473, 2468, 473, 1725, 473, 584, 69, 473, 3474, 473, 578, 726, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 2727, 473, 279, 448, 473, 2727, 287, 72, 341, 16607, 301, 473, 5342, 20, 473, 18821, 473, 436, 473, 436, 473, 5342, 4700, 17, 8642, 17, 5558, 473, 23673, 20, 17, 2163, 17, 4630, 473, 279, 8905, 11664, 473, 279, 448, 2896, 1611, 1736, 203, 24, 473, 1223, 361, 304, 1611, 473, 5342, 9060, 473, 1725, 473, 6969, 473, 584, 69, 473, 1183, 473, 293, 18811, 506, 497, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 471, 93, 473, 1223, 361, 473, 11087, 641, 83, 471, 455, 473, 404, 5193, 473, 26103, 473, 328, 473, 328, 473, 4044, 21, 17, 5908, 17, 2163, 473, 27212, 17, 3028, 17, 3437, 473, 1223, 16524, 11664, 473, 1223, 361, 304, 1611, 1736, 203, 25, 473, 1223, 361, 3030, 1611, 473, 5342, 7140, 473, 2593, 473, 8043, 473, 302, 18, 86, 18, 473, 7125, 24137, 13848, 473, 7125, 24137, 13848, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 225, 473, 284, 8865, 28630, 473, 1223, 361, 473, 284, 8865, 28630, 392, 1917, 1594, 473, 576, 3462, 473, 26103, 473, 328, 473, 328, 473, 18965, 17, 8642, 17, 6030, 473, 12461, 17, 2163, 17, 4630, 473, 1223, 361, 74, 11664, 473, 1223, 361, 3030, 1611, 1736, 203, 26, 473, 1223, 361, 8302, 83, 1611, 473, 6549, 6564, 473, 4648, 473, 1059, 473, 584, 69, 473, 6790, 473, 1844, 330, 361, 292, 844, 1155, 473, 5342, 6260, 473, 1381, 473, 8043, 473, 584, 69, 473, 290, 78, 473, 293, 2558, 1917, 473, 525, 22223, 473, 1223, 361, 1385, 473, 525, 22223, 341, 18, 473, 20217, 473, 19387, 473, 436, 473, 436, 473, 6549, 5877, 17, 3028, 17, 5558, 2 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 325, 303, 67, 350, 473, 508, 67, 2722, 473, 1216, 473, 17057, 67, 9082, 473, 7291, 67, 350, 473, 3119, 473, 443, 421, 67, 6874, 473, 17057, 67, 2881, 1736, 203, 64, 13138, 5345, 203, 20, 473, 225, 473, 324, 1165, 473, 328, 473, 584, 69, 473, 324, 1165, 2894, 2733, 473, 404, 2539, 473, 23673, 21, 473, 8043, 1736, 203, 21, 473, 225, 473, 324, 26253, 473, 436, 473, 584, 69, 473, 324, 26253, 354, 2733, 473, 24262, 473, 5342, 9222, 473, 10213, 1736, 203, 22, 473, 225, 473, 8280, 292, 402, 473, 225, 473, 584, 69, 473, 8280, 351, 83, 2733, 473, 225, 473, 5342, 3787, 473, 10659, 1736, 203, 23, 473, 225, 473, 7035, 91, 4083, 473, 225, 473, 584, 69, 473, 7035, 91, 287, 2733, 473, 225, 473, 6549, 9975, 473, 8043, 1736, 203, 24, 473, 225, 473, 462, 361, 91, 1200, 473, 225, 473, 2836, 329, 417, 310, 9859, 473, 462, 361, 91, 580, 2733, 473, 225, 473, 5342, 6840, 473, 1381, 1736, 203, 25, 473, 225, 473, 462, 464, 749, 473, 225, 473, 584, 69, 473, 462, 464, 3395, 2733, 473, 225, 473, 23673, 21, 473, 5045, 1736, 203, 26, 473, 225, 473, 1149, 80, 395, 265, 473, 328, 473, 584, 69, 473, 1149, 383, 87, 2733, 473, 4044, 473, 5342, 6564, 473, 5045, 1736, 203, 27, 473, 225, 473, 1825, 4063, 473, 328, 473, 584, 69, 473, 1825, 1306, 304, 2733, 473, 576, 3462, 473, 5342, 9803, 473, 4248, 1736, 203, 28, 473, 225, 473, 302, 464, 5404, 473, 436, 473, 584, 69, 473, 302, 464, 86, 354, 2733, 473, 404, 7301, 473, 23673, 24, 473, 8231, 1736, 203, 29, 473, 225, 473, 2548, 473, 436, 473, 584, 69, 473, 2548, 298, 2733, 473, 404, 7301, 473, 23673, 25, 473, 5196, 1736, 203, 2163, 473, 225, 473, 4314, 76, 17626, 473, 436, 473, 276, 373, 69, 473, 4314, 76, 17288, 2733, 473, 225, 473, 5342, 11212, 473, 6969, 1736, 203, 2499, 473, 225, 473, 302, 266, 93, 74, 5567, 473, 225, 473, 314, 1035, 2273, 473, 302, 266, 93, 74, 12124, 2733, 473, 225, 473, 5342, 1578, 473, 10213, 1736, 203, 2138, 473, 225, 473, 284, 29811, 473, 328, 473, 584, 69, 473, 284, 669, 73, 13266, 2733, 473, 24262, 473, 5342, 8285, 473, 2593, 1736, 203, 3437, 473, 225, 473, 284, 29811, 473, 436, 473, 584, 69, 473, 284, 29811, 89, 2733, 473, 4044, 473, 5342, 5082, 473, 8043, 1736, 203, 3461, 473, 225, 473, 284, 354, 24355, 473, 225, 473, 225, 473, 284, 354, 8489, 908, 2733, 473, 225, 473, 5342, 3437, 473, 2371, 1736, 203, 3600, 473, 225, 473, 3812, 1200, 473, 225, 473, 584, 69, 473, 3812, 1200, 617, 2733, 473, 225, 473, 5342, 8285, 473, 5342, 1736, 203, 2313, 473, 225, 473, 314, 495, 816, 473, 436, 473, 584, 69, 473, 314, 495, 2048, 30952, 2733, 473, 576, 3462, 473, 5342, 9462, 473, 9035, 1736, 203, 4033, 473, 225, 473, 314, 1449, 473, 225, 473, 584, 69, 473, 314, 1449, 91, 69, 2733, 473, 225, 473, 5342, 7235, 473, 9131, 1736, 203, 2643, 473, 225, 473, 314, 737, 1200, 473, 328, 473, 584, 69, 473, 314, 330, 3169, 69, 2733, 473, 6549, 25, 473, 225, 473, 11201, 1736, 203, 3657, 473, 225, 473, 7936, 473, 436, 473, 584, 69, 473, 7936, 4840, 2733, 473, 404, 2539, 473, 5342, 6418, 473, 404, 1736, 203, 3462, 473, 225, 473, 17895, 5404, 473, 225, 473, 584, 69, 473, 17895, 566, 91, 77, 2733, 473, 225, 473, 5342, 11212, 473, 2872, 1736, 203, 5340, 473, 225, 473, 28703, 1434, 473, 225, 473, 584, 69, 473, 366, 4758, 303, 2733, 473, 225, 473, 225, 473, 10659, 1736, 203, 3787, 473, 225, 473, 366, 737, 473, 436, 473, 584, 69, 473, 366, 737, 347, 2733, 473, 404, 7301, 473, 5342, 10593, 473, 2593, 1736, 203, 4366, 473, 225, 473, 366, 332, 25925, 473, 225, 473, 584, 69, 473, 366, 332, 70, 359, 77, 2733, 473, 225, 473, 404, 5482, 22, 473, 10213, 1736, 203, 3247, 473, 225, 473, 525, 22223, 816, 473, 225, 473, 584, 69, 473, 525, 16699, 2387, 12124, 2733, 473, 225, 473, 5342, 6938, 473, 1381, 1736, 203, 2947, 473, 225, 473, 525, 22223, 816, 473, 436, 473, 584, 69, 473, 525, 16699, 2387, 78, 89, 2733, 473, 18478, 473, 5342, 6675, 473, 10659, 1736, 203, 5558, 473, 225, 473, 417, 89, 76, 82, 473, 225, 473, 584, 69, 473, 417, 89, 76, 82, 1075, 2733, 473, 225, 473, 4044, 27, 473, 9131, 1736, 203, 5324, 473, 225, 473, 19193, 291, 473, 225, 473, 584, 69, 473, 19193, 2547, 2733, 473, 225, 473, 5342, 6334, 473, 4200, 1736, 203, 6030, 473, 225, 473, 884, 265, 1060, 473, 328, 473, 584, 69, 473, 884, 265, 12941, 2733, 473, 6549, 25, 473, 23673, 27, 473, 1725, 1736, 203, 5540, 473, 225, 473, 328, 2466, 72, 473, 436, 473, 584, 69, 473, 328, 2466, 72, 1631, 2733, 473, 9259, 473, 5342, 1105, 473, 6969, 1736, 203, 5082, 473, 225, 473, 5318, 844, 671, 473, 225, 473, 584, 69, 473, 5318, 844, 11821, 2733, 473, 225, 473, 5342, 5877, 473, 890, 1736, 203, 6938, 473, 225, 473, 5318, 844, 671, 473, 225, 473, 584, 69, 473, 5318, 844, 298, 2733, 473, 225, 473, 20869, 473, 6969, 1736, 203, 1578, 473, 225, 473, 312, 484, 402, 473, 436, 473, 584, 69, 473, 312, 484, 73, 13266, 2733, 473, 4044, 473, 5342, 9222, 473, 12732, 1736, 203, 3707, 473, 225, 473, 3161, 30678, 473, 225, 473, 584, 69, 473, 3161, 298, 10241, 2733, 473, 225, 473, 5342, 11861, 473, 12732, 1736, 203, 5026, 473, 225, 473, 21247, 323, 94, 473, 436, 473, 276, 373, 69, 473, 21247, 323, 30952, 2733, 473, 4711, 22, 473, 5342, 6030, 473, 576, 1736, 203, 4763, 473, 225, 473, 320, 17784, 22534, 93, 473, 225, 473, 584, 69, 473, 8068, 454, 91, 69, 2733, 473, 225, 473, 5342, 7235, 473, 2468, 1736, 203, 5718, 473, 225, 473, 21400, 347, 94, 473, 225, 473, 584, 69, 473, 2 ] ]

[ [ 1, 4025, 884, 20910, 67, 350, 16, 3286, 16, 7291, 67, 350, 628, 7291, 67, 69, 2913, 67, 25911, 1625, 3143, 67, 91, 265, 411, 1728, 18, 20, 578, 7291, 67, 350, 273, 998, 10175, 566, 1611, 471, 3143, 67, 1896, 480, 1059, 8875, 471, 19588, 67, 3645, 273, 374, 1335, 2027, 884, 20910, 67, 350, 16, 3286, 16, 7291, 67, 350, 628, 27464, 1787, 1625, 1645, 1545, 374, 578, 2393, 405, 576, 578, 366, 411, 374, 471, 699, 273, 374, 578, 15407, 411, 374, 471, 314, 67, 350, 84, 273, 225, 471, 7291, 67, 350, 273, 998, 305, 947, 69, 1611, 471, 3286, 1545, 12461, 578, 14543, 411, 374, 578, 384, 474, 1648, 404, 471, 1427, 273, 2593, 471, 884, 20910, 67, 350, 480, 524, 471, 7138, 77, 480, 13291, 471, 5927, 67, 350, 273, 417, 5353, 578, 9834, 70, 273, 374, 578, 366, 17152, 273, 374, 578, 314, 411, 4200, 471, 9033, 273, 374, 471, 2873, 480, 225, 471, 1223, 273, 890, 471, 436, 1545, 26465, 471, 7129, 1545, 374, 411, 2121, 67, 529, 34, 294, 7291, 67, 69, 2913, 67, 25911, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 279, 2913, 67, 350, 473, 3286, 473, 884, 20910, 67, 350, 473, 7291, 67, 350, 473, 3143, 67, 91, 265, 473, 3143, 67, 1896, 473, 19588, 67, 3645, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6143, 677, 465, 75, 473, 5342, 4313, 473, 12931, 473, 364, 72, 3350, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 21, 473, 6143, 677, 465, 75, 473, 5342, 4313, 473, 12931, 473, 4447, 80, 291, 69, 1611, 473, 1059, 18, 20, 473, 2872, 473, 1059, 1736, 203, 22, 473, 6143, 677, 465, 75, 473, 5342, 4313, 473, 12931, 473, 394, 1559, 83, 1611, 473, 1728, 18, 20, 473, 2872, 473, 1728, 1736, 203, 23, 473, 6143, 677, 465, 75, 473, 5342, 4313, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 24, 473, 6143, 677, 465, 75, 473, 5342, 10321, 473, 12931, 473, 2727, 1527, 3211, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 25, 473, 6143, 677, 465, 75, 473, 5342, 10321, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 4711, 18, 20, 473, 2872, 473, 4711, 1736, 203, 26, 473, 6143, 677, 465, 75, 473, 5342, 8204, 473, 12931, 473, 324, 295, 3771, 73, 1611, 473, 890, 18, 20, 473, 2872, 473, 890, 1736, 203, 27, 473, 6143, 677, 465, 75, 473, 5342, 8204, 473, 12931, 473, 284, 566, 275, 1075, 1611, 473, 890, 18, 20, 473, 2872, 473, 890, 1736, 203, 28, 473, 6143, 677, 465, 75, 473, 5342, 8204, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 1059, 18, 20, 473, 2872, 473, 1059, 1736, 203, 29, 473, 6143, 677, 465, 75, 473, 5342, 8204, 473, 12931, 473, 268, 295, 298, 1075, 1611, 473, 1381, 18, 20, 473, 2872, 473, 1381, 1736, 203, 2163, 473, 6143, 677, 465, 75, 473, 5342, 6162, 473, 12931, 473, 525, 265, 403, 69, 3103, 473, 576, 18, 20, 473, 2872, 473, 576, 1736, 203, 2499, 473, 6143, 677, 465, 75, 473, 5342, 6162, 473, 12931, 473, 699, 2219, 1075, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 2138, 473, 6143, 677, 465, 75, 473, 5342, 6162, 473, 12931, 473, 341, 878, 4644, 69, 1611, 473, 5958, 18, 20, 473, 2872, 473, 5958, 1736, 203, 3437, 473, 6143, 677, 465, 75, 473, 5342, 4848, 473, 12931, 473, 23670, 75, 749, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 3461, 473, 6143, 677, 465, 75, 473, 5342, 4848, 473, 12931, 473, 328, 2219, 537, 1611, 473, 1725, 18, 20, 473, 2872, 473, 1725, 1736, 203, 3600, 473, 6143, 677, 465, 75, 473, 5342, 4848, 473, 12931, 473, 312, 4315, 304, 549, 1611, 473, 404, 18, 20, 473, 2872, 473, 404, 1736, 203, 2313, 473, 6143, 677, 465, 75, 473, 5342, 4848, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 1059, 18, 20, 473, 2872, 473, 1059, 1736, 203, 4033, 473, 6143, 677, 465, 75, 473, 5342, 9498, 473, 12931, 473, 364, 72, 3350, 1611, 473, 2468, 18, 20, 473, 6549, 473, 2468, 1736, 203, 2643, 473, 6143, 677, 465, 75, 473, 5342, 9498, 473, 12931, 473, 328, 814, 4840, 1611, 473, 576, 18, 20, 473, 6549, 473, 576, 1736, 203, 3657, 473, 6143, 677, 465, 75, 473, 5342, 9498, 473, 12931, 473, 1694, 9795, 82, 91, 69, 1611, 473, 1666, 18, 20, 473, 6549, 473, 1666, 1736, 203, 3462, 473, 6143, 677, 465, 75, 473, 5342, 8898, 473, 12931, 473, 10299, 87, 449, 83, 1611, 473, 5045, 18, 20, 473, 4200, 473, 5045, 1736, 203, 5340, 473, 6143, 677, 465, 75, 473, 5342, 8898, 473, 12931, 473, 293, 2453, 7358, 77, 3103, 473, 404, 18, 20, 473, 4200, 473, 404, 1736, 203, 3787, 473, 6143, 677, 465, 75, 473, 5342, 8898, 473, 12931, 473, 5405, 4491, 1075, 1611, 473, 404, 18, 20, 473, 4200, 473, 404, 1736, 203, 4366, 473, 6143, 677, 465, 75, 473, 5342, 8898, 473, 12931, 473, 272, 304, 617, 12333, 3103, 473, 1059, 18, 20, 473, 4200, 473, 1059, 1736, 203, 3247, 473, 6143, 677, 465, 75, 473, 5342, 4449, 473, 12931, 473, 417, 83, 696, 345, 69, 1611, 473, 4200, 18, 20, 473, 4200, 473, 4200, 1736, 203, 2947, 473, 6143, 677, 465, 75, 473, 5342, 1105, 473, 12931, 473, 3861, 71, 323, 1611, 473, 8043, 18, 20, 473, 4200, 473, 8043, 1736, 203, 5558, 473, 6143, 677, 465, 75, 473, 5342, 1105, 473, 12931, 473, 525, 484, 2069, 69, 1611, 473, 576, 18, 20, 473, 4200, 473, 576, 1736, 203, 5324, 473, 6143, 677, 465, 75, 473, 5342, 1105, 473, 12931, 473, 417, 83, 696, 345, 69, 1611, 473, 404, 18, 20, 473, 4200, 473, 404, 1736, 203, 6030, 473, 6143, 677, 465, 75, 473, 5342, 9222, 473, 12931, 473, 417, 83, 696, 345, 69, 1611, 473, 4200, 18, 20, 473, 4200, 473, 4200, 1736, 203, 5540, 473, 6143, 677, 465, 75, 473, 2 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 884, 20910, 67, 350, 473, 3286, 473, 7291, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 12931, 473, 5342, 8875, 473, 487, 76, 70, 1650, 1611, 1736, 203, 21, 473, 12931, 473, 5342, 8875, 473, 506, 1060, 908, 1611, 1736, 203, 22, 473, 12931, 473, 5342, 8875, 473, 5186, 1054, 383, 1611, 1736, 203, 23, 473, 12931, 473, 5342, 8875, 473, 7494, 1627, 77, 1611, 1736, 203, 24, 473, 12931, 473, 5342, 4313, 473, 364, 72, 3350, 1611, 1736, 203, 25, 473, 12931, 473, 5342, 4313, 473, 4447, 80, 291, 69, 1611, 1736, 203, 26, 473, 12931, 473, 5342, 4313, 473, 1694, 9795, 82, 91, 69, 1611, 1736, 203, 27, 473, 12931, 473, 5342, 10321, 473, 2727, 1527, 3211, 1611, 1736, 203, 28, 473, 12931, 473, 5342, 8204, 473, 324, 295, 3771, 73, 1611, 1736, 203, 29, 473, 12931, 473, 5342, 8204, 473, 284, 566, 275, 1075, 1611, 1736, 203, 2163, 473, 12931, 473, 5342, 8204, 473, 1694, 9795, 82, 91, 69, 1611, 1736, 203, 2499, 473, 12931, 473, 5342, 8204, 473, 268, 295, 298, 1075, 1611, 1736, 203, 2138, 473, 12931, 473, 5342, 6162, 473, 525, 265, 403, 69, 3103, 1736, 203, 3437, 473, 12931, 473, 5342, 6162, 473, 699, 2219, 1075, 1611, 1736, 203, 3461, 473, 12931, 473, 5342, 4848, 473, 23670, 75, 749, 1611, 1736, 203, 3600, 473, 12931, 473, 5342, 4848, 473, 328, 2219, 537, 1611, 1736, 203, 2313, 473, 12931, 473, 5342, 4848, 473, 312, 4315, 304, 549, 1611, 1736, 203, 4033, 473, 12931, 473, 5342, 4848, 473, 1694, 9795, 82, 91, 69, 1611, 1736, 203, 2643, 473, 12931, 473, 5342, 9498, 473, 364, 72, 3350, 1611, 1736, 203, 3657, 473, 12931, 473, 5342, 9498, 473, 328, 814, 4840, 1611, 1736, 203, 3462, 473, 12931, 473, 5342, 9498, 473, 1694, 9795, 82, 91, 69, 1611, 1736, 203, 5340, 473, 12931, 473, 5342, 8898, 473, 293, 2453, 7358, 77, 3103, 1736, 203, 3787, 473, 12931, 473, 5342, 8898, 473, 5405, 4491, 1075, 1611, 1736, 203, 4366, 473, 12931, 473, 5342, 8898, 473, 272, 304, 617, 12333, 3103, 1736, 203, 3247, 473, 12931, 473, 5342, 1105, 473, 525, 484, 2069, 69, 1611, 1736, 203, 2947, 473, 12931, 473, 5342, 1105, 473, 417, 83, 696, 345, 69, 1611, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1056, 93, 67, 350, 628, 1056, 93, 1041, 635, 1056, 93, 67, 350, 411, 2121, 67, 529, 34, 294, 1056, 93, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1056, 93, 67, 350, 473, 1056, 93, 67, 529, 473, 11209, 473, 3144, 67, 710, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 3661, 1060, 473, 9035, 3784, 18, 20, 473, 302, 5340, 1736, 203, 21, 473, 576, 473, 324, 2390, 381, 479, 1056, 93, 473, 2468, 2787, 18, 20, 473, 302, 6840, 1736, 203, 22, 473, 890, 473, 645, 6598, 473, 26517, 3784, 18, 20, 473, 302, 3103, 1736, 203, 23, 473, 1059, 473, 312, 634, 1518, 473, 1725, 27, 6976, 18, 20, 473, 302, 5908, 1736, 203, 24, 473, 1381, 473, 312, 10903, 473, 30537, 713, 18, 20, 473, 302, 2499, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1056, 93, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 1736, 203, 21, 473, 576, 1736, 203, 22, 473, 890, 1736, 203, 23, 473, 1059, 1736, 203, 24, 473, 1381, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

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

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 11152, 12, 88, 21, 18, 4161, 67, 350, 13, 473, 4362, 67, 3384, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2468, 18, 27, 7140, 27, 3461, 6030, 10321, 473, 2063, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 6382, 67, 10540, 628, 25937, 411, 2121, 67, 529, 34, 294, 25937, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 3410, 67, 350, 473, 1122, 67, 529, 473, 1142, 67, 529, 473, 19382, 473, 12797, 473, 919, 473, 3144, 67, 710, 473, 2699, 67, 2867, 473, 6382, 67, 10540, 473, 2484, 67, 2696, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 290, 10610, 473, 19514, 402, 473, 374, 30792, 7380, 94, 331, 737, 410, 279, 337, 18, 374, 3247, 473, 328, 911, 268, 1155, 473, 341, 291, 8559, 267, 473, 31007, 28275, 473, 328, 878, 82, 11861, 36, 8236, 18, 3341, 473, 404, 17, 9470, 22, 17, 5193, 25, 17, 1611, 2313, 92, 26, 1578, 4763, 473, 1059, 8285, 18, 29, 8285, 18, 8642, 5540, 1736, 203, 21, 473, 576, 473, 21723, 69, 473, 302, 373, 89, 1857, 473, 2593, 3028, 312, 8906, 3551, 1888, 279, 337, 18, 1728, 27, 473, 1756, 283, 1072, 301, 15347, 473, 16831, 1912, 1155, 473, 12292, 3247, 24, 473, 677, 79, 18387, 36, 8236, 18, 832, 473, 261, 27, 2733, 13, 4313, 23, 17, 3103, 4848, 92, 24, 6564, 473, 261, 27, 3787, 13, 6669, 28, 17, 6564, 5520, 92, 24, 5193, 1736, 203, 22, 473, 890, 473, 20138, 715, 82, 473, 384, 355, 2253, 31317, 473, 576, 4449, 25, 276, 1540, 715, 82, 886, 4167, 473, 4653, 266, 748, 70, 295, 17680, 473, 331, 1035, 1580, 473, 17896, 30792, 473, 366, 1100, 816, 18, 507, 522, 304, 36, 8236, 18, 832, 473, 2468, 2313, 18, 29, 6669, 18, 11290, 3672, 92, 3437, 7140, 21, 473, 9934, 21, 17, 8875, 23, 17, 29, 6840, 23, 92, 6418, 29, 5292, 1736, 203, 23, 473, 1059, 473, 9787, 473, 366, 301, 737, 473, 1666, 9975, 525, 835, 3528, 15299, 364, 2852, 473, 16430, 79, 407, 74, 295, 88, 473, 1183, 280, 350, 69, 473, 1725, 9036, 3028, 473, 13999, 18, 75, 671, 36, 8236, 18, 3341, 473, 404, 17, 23, 1578, 17, 5193, 29, 17, 3657, 6840, 473, 2371, 5520, 17, 26959, 17, 9060, 3103, 1736, 203, 24, 473, 1381, 473, 525, 16699, 1072, 473, 284, 31721, 473, 23797, 25652, 302, 28662, 292, 1027, 473, 328, 911, 1244, 319, 267, 473, 21435, 72, 581, 25441, 473, 1666, 15168, 29, 473, 998, 18688, 71, 581, 18, 81, 361, 265, 6582, 36, 8236, 18, 2758, 473, 261, 25, 6334, 13, 4630, 24, 17, 2313, 7301, 473, 404, 17, 26, 5558, 17, 23728, 17, 6669, 6162, 92, 2313, 10580, 1736, 203, 25, 473, 1666, 473, 417, 2486, 473, 436, 625, 13097, 473, 1381, 3657, 5026, 9787, 322, 292, 366, 6779, 280, 473, 328, 911, 5926, 30678, 70, 280, 4966, 473, 419, 452, 265, 69, 473, 8303, 5908, 473, 312, 3175, 834, 748, 69, 18, 2681, 736, 36, 8236, 18, 2758, 473, 890, 2643, 17, 6260, 22, 17, 9222, 9036, 473, 397, 7301, 12, 24, 13, 9975, 4033, 8778, 10395, 21, 1736, 203, 26, 473, 2371, 473, 801, 292, 1385, 473, 312, 1051, 94, 473, 4248, 4033, 417, 2091, 69, 609, 7638, 344, 279, 337, 18, 5045, 26, 473, 328, 911, 525, 275, 18538, 586, 18850, 473, 394, 93, 778, 473, 374, 6260, 6675, 473, 7603, 3027, 2733, 36, 8236, 18, 832, 473, 261, 6260, 28, 13, 2733, 27, 17, 6669, 5324, 473, 2593, 21, 18, 7414, 21, 18, 3707, 2313, 92, 9222, 4763, 1736, 203, 27, 473, 1725, 473, 10643, 28630, 473, 450, 76, 835, 69, 473, 15981, 7414, 22, 677, 669, 10911, 2852, 473, 24516, 279, 1222, 265, 473, 419, 79, 634, 345, 473, 20457, 23254, 473, 417, 20922, 264, 36, 8236, 18, 2758, 473, 374, 2643, 3103, 24, 7235, 5877, 28, 473, 261, 8285, 23, 13, 5324, 21, 17, 26, 5608, 24, 92, 24, 3361, 27, 1736, 203, 28, 473, 2468, 473, 1261, 292, 298, 473, 603, 3069, 1200, 69, 473, 16146, 2138, 721, 87, 275, 12124, 379, 26269, 473, 19720, 366, 737, 1060, 31317, 473, 341, 961, 310, 1917, 473, 2468, 3247, 7677, 473, 2662, 2599, 275, 36, 8236, 18, 2758, 473, 374, 6028, 18, 23728, 18, 27, 5482, 25, 473, 397, 713, 12, 22, 13, 24, 1578, 4763, 29, 5540, 7140, 1736, 203, 29, 473, 1728, 473, 437, 1187, 94, 473, 11562, 355, 345, 473, 14995, 5995, 312, 292, 549, 73, 5344, 530, 473, 394, 312, 3175, 20731, 736, 70, 280, 4966, 473, 24516, 72, 581, 25441, 473, 22860, 5540, 27, 473, 677, 4527, 75, 1594, 36, 8236, 18, 832, 473, 374, 7140, 18, 2539, 27, 18, 4630, 7235, 92, 5193, 5026, 28, 473, 1381, 6162, 18, 28, 5608, 18, 31831, 21, 92, 29, 6675, 1736, 203, 2163, 473, 4648, 473, 314, 528, 473, 1656, 330, 473, 1666, 4630, 9401, 417, 528, 298, 2031, 6828, 310, 11371, 2371, 713, 473, 1756, 998, 484, 627, 473, 1547, 2779, 69, 473, 13191, 5608, 27, 473, 293, 2091, 549, 73, 2643, 36, 8236, 18, 832, 473, 404, 5082, 17, 7235, 26, 17, 7950, 6675, 92, 6260, 24, 6564, 473, 2371, 8898, 18, 25, 6675, 18, 26, 23454, 92, 22152, 28, 1736, 203, 2499, 473, 2593, 473, 578, 15733, 83, 473, 6205, 473, 28308, 1611, 21, 417, 1051, 94, 81, 1072, 25974, 11371, 5178, 22, 473, 19720, 21282, 495, 292, 70, 22498, 473, 12543, 1054, 625, 7259, 473, 4648, 2733, 20, 473, 4513, 376, 93, 7616, 36, 8236, 18, 3341, 473, 890, 4449, 18, 29, 8875, 18, 2163, 9349, 473, 404, 17, 27, 5520, 17, 24, 5340, 17, 3787, 2947, 92, 7414, 25005, 1736, 203, 2138, 473, 5958, 473, 276, 728, 93, 473, 18551, 1938, 88, 473, 20963, 3361, 417, 4806, 558, 364, 2852, 279, 337, 18, 1666, 5082, 473, 506, 1051, 265, 473, 21435, 72, 581, 25441, 473, 6580, 11035, 21, 473, 6357, 3030, 74, 586, 36, 8236, 18, 2758, 473, 261, 5908, 24, 13, 5608, 27, 17, 5995, 24, 92, 28, 25213, 473, 1666, 3707, 18, 24, 2539, 18, 23, 3028, 25, 92, 28, 6564, 5193, 1736, 203, 3437, 473, 5045, 473, 767, 343, 292, 298, 473, 284, 1683, 473, 4711, 28, 6030, 1694, 23568, 4418, 473, 27697, 884, 265, 1060, 473, 312, 814, 15733, 2 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 6382, 67, 10540, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 17, 9470, 22, 17, 5193, 25, 17, 1611, 2313, 92, 26, 1578, 4763, 1736, 203, 21, 473, 261, 27, 2733, 13, 4313, 23, 17, 3103, 4848, 92, 24, 6564, 1736, 203, 22, 473, 2468, 2313, 18, 29, 6669, 18, 11290, 3672, 92, 3437, 7140, 21, 1736, 203, 23, 473, 404, 17, 23, 1578, 17, 5193, 29, 17, 3657, 6840, 1736, 203, 24, 473, 261, 25, 6334, 13, 4630, 24, 17, 2313, 7301, 1736, 203, 25, 473, 890, 2643, 17, 6260, 22, 17, 9222, 9036, 1736, 203, 26, 473, 261, 6260, 28, 13, 2733, 27, 17, 6669, 5324, 1736, 203, 27, 473, 374, 2643, 3103, 24, 7235, 5877, 28, 1736, 203, 28, 473, 374, 6028, 18, 23728, 18, 27, 5482, 25, 1736, 203, 29, 473, 374, 7140, 18, 2539, 27, 18, 4630, 7235, 92, 5193, 5026, 28, 1736, 203, 2163, 473, 404, 5082, 17, 7235, 26, 17, 7950, 6675, 92, 6260, 24, 6564, 1736, 203, 2499, 473, 890, 4449, 18, 29, 8875, 18, 2163, 9349, 1736, 203, 2138, 473, 261, 5908, 24, 13, 5608, 27, 17, 5995, 24, 92, 28, 25213, 1736, 203, 3437, 473, 404, 17, 5026, 26, 17, 26, 2539, 17, 25, 5193, 22, 92, 6669, 28, 1736, 203, 3461, 473, 1725, 11180, 17, 5292, 22, 17, 25, 29286, 92, 26, 4033, 5908, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1308, 67, 6395, 16, 1272, 67, 350, 16, 400, 6392, 67, 350, 628, 10043, 4877, 1625, 1509, 67, 81, 9952, 67, 267, 480, 12659, 17, 5908, 17, 5324, 2593, 30, 713, 30, 713, 471, 1308, 67, 6395, 273, 471, 3565, 27464, 94, 1335, 2027, 1308, 67, 6395, 16, 1272, 67, 350, 16, 400, 6392, 67, 350, 628, 10043, 4877, 67, 8387, 1625, 1509, 67, 81, 9952, 67, 267, 480, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 411, 2121, 67, 529, 34, 294, 10043, 4877, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 400, 6392, 67, 350, 473, 1272, 67, 350, 473, 1509, 67, 81, 9952, 67, 267, 473, 1509, 67, 81, 9952, 67, 659, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1666, 473, 2468, 6564, 473, 11015, 17, 7677, 17, 4033, 4711, 30, 8942, 30, 3707, 473, 11015, 17, 2138, 17, 2643, 17107, 30, 8749, 30, 3028, 473, 471, 3565, 27464, 94, 1736, 203, 21, 473, 1728, 473, 4752, 25, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 14863, 17, 4630, 17, 4033, 10934, 30, 8875, 30, 5908, 473, 12543, 9583, 362, 1385, 1140, 2679, 15299, 1736, 203, 22, 473, 10213, 473, 1725, 7235, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2499, 17, 3461, 13026, 30, 6030, 30, 8875, 473, 525, 403, 341, 2942, 304, 1736, 203, 23, 473, 9131, 473, 1666, 5540, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2163, 17, 6260, 17896, 30, 9462, 30, 6938, 473, 12543, 524, 304, 291, 2176, 4728, 1736, 203, 24, 473, 18091, 473, 1666, 8148, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 14863, 17, 1611, 17, 5082, 1728, 30, 3462, 30, 6162, 473, 9214, 18, 419, 941, 417, 11142, 402, 1736, 203, 25, 473, 18012, 473, 2371, 8875, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2138, 17, 5082, 10213, 30, 2539, 30, 2163, 473, 462, 4581, 1352, 304, 1155, 4749, 15299, 1736, 203, 26, 473, 21193, 473, 23515, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 14863, 17, 3103, 17, 3787, 13026, 30, 3247, 30, 3600, 473, 415, 3800, 18551, 1722, 1736, 203, 27, 473, 12292, 473, 2468, 6564, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2163, 17, 3461, 1728, 30, 4366, 30, 9452, 473, 9214, 18, 290, 345, 481, 19055, 347, 1736, 203, 28, 473, 17495, 473, 1666, 8148, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2163, 17, 2163, 17896, 30, 2947, 30, 8643, 473, 268, 3048, 2273, 525, 835, 3528, 15299, 1736, 203, 29, 473, 17066, 473, 1728, 27, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2499, 17, 5540, 9035, 30, 3247, 30, 6840, 473, 358, 15260, 69, 26025, 3034, 1736, 203, 2163, 473, 21017, 473, 15743, 473, 12659, 17, 5908, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2163, 17, 4366, 2872, 30, 7132, 30, 3657, 473, 27428, 737, 324, 8865, 20379, 1736, 203, 2499, 473, 26232, 473, 1059, 7950, 473, 12659, 17, 5908, 17, 5324, 2593, 30, 713, 30, 713, 473, 14863, 17, 1611, 17, 3657, 8743, 30, 4763, 30, 10593, 473, 437, 93, 341, 22628, 1736, 203, 2138, 473, 1725, 27, 473, 2371, 8875, 473, 12659, 17, 5908, 17, 5324, 2593, 30, 713, 30, 713, 473, 14863, 17, 1611, 17, 6030, 5958, 30, 3657, 30, 6564, 473, 312, 5453, 18, 767, 2762, 292, 298, 284, 31721, 1736, 203, 3437, 473, 24153, 473, 1728, 27, 473, 12659, 17, 5908, 17, 5324, 2593, 30, 713, 30, 713, 473, 14863, 17, 3103, 17, 4630, 4648, 30, 5082, 30, 3462, 473, 20138, 29896, 314, 21896, 6072, 1736, 203, 3461, 473, 8566, 473, 890, 9036, 473, 12659, 17, 5908, 17, 5324, 2593, 30, 713, 30, 713, 473, 11015, 17, 2499, 17, 3657, 17107, 30, 2499, 30, 6334, 473, 276, 428, 1385, 525, 22223, 816, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 10043, 4877, 67, 8387, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 400, 6392, 67, 350, 473, 1156, 67, 350, 473, 1509, 67, 81, 9952, 67, 267, 473, 1272, 67, 350, 473, 1509, 67, 19065, 473, 1509, 67, 29206, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1666, 473, 17160, 473, 11015, 17, 7677, 17, 4033, 4711, 30, 8942, 30, 3707, 473, 2468, 6564, 473, 12659, 17, 8642, 17, 2947, 8743, 30, 1578, 30, 4366, 473, 14863, 17, 3103, 17, 5558, 9631, 30, 5324, 30, 2499, 473, 18958, 1736, 203, 21, 473, 10213, 473, 20170, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 1725, 7235, 473, 12659, 17, 2163, 17, 2163, 9035, 30, 9452, 30, 5340, 473, 11015, 17, 6840, 17, 5340, 13026, 30, 4366, 30, 7677, 473, 640, 12973, 21501, 1736, 203, 22, 473, 9131, 473, 4648, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 1666, 5540, 473, 11015, 17, 8642, 17, 3461, 5342, 30, 4630, 30, 9462, 473, 11015, 17, 6840, 17, 6030, 17107, 30, 8942, 30, 4313, 473, 640, 12973, 21501, 1736, 203, 23, 473, 21193, 473, 1728, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 23515, 473, 12659, 17, 5908, 17, 3462, 11201, 30, 3361, 30, 5558, 473, 11015, 17, 2163, 17, 4033, 17107, 30, 5082, 30, 6840, 473, 640, 12973, 21501, 1736, 203, 24, 473, 12292, 473, 17160, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 2468, 6564, 473, 11015, 17, 7677, 17, 3461, 5045, 30, 3028, 30, 3361, 473, 11015, 17, 6840, 17, 3461, 16314, 30, 7677, 30, 8942, 473, 640, 12973, 21501, 1736, 203, 25, 473, 17495, 473, 15892, 473, 12461, 17, 4630, 17, 5324, 2593, 30, 713, 30, 713, 473, 1666, 8148, 473, 12659, 17, 2138, 17, 2313, 13026, 30, 2 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1308, 67, 6395, 473, 1272, 67, 350, 473, 400, 6392, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 471, 3565, 27464, 94, 473, 2468, 6564, 473, 1666, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 268, 21, 18, 2135, 16, 943, 12, 88, 22, 18, 2135, 13, 628, 595, 1165, 1012, 487, 268, 21, 1233, 341, 558, 487, 268, 22, 603, 268, 21, 18, 2019, 273, 268, 22, 18, 2019, 411, 2121, 67, 529, 34, 294, 595, 1165, 1012, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1158, 473, 595, 292, 367, 473, 1056, 93, 473, 919, 473, 5091, 473, 353, 1629, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 279, 4149, 464, 264, 1244, 30678, 473, 272, 4708, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 21, 473, 576, 473, 2125, 23671, 1056, 93, 473, 2125, 23671, 473, 1443, 430, 14245, 1155, 473, 272, 2453, 354, 284, 8595, 737, 87, 473, 1158, 1736, 203, 22, 473, 890, 473, 2125, 23671, 17, 81, 409, 504, 15020, 17, 816, 362, 69, 1056, 606, 473, 290, 19, 69, 473, 1443, 430, 14245, 1155, 473, 290, 19, 69, 473, 1158, 1736, 203, 23, 473, 1059, 473, 471, 3565, 1244, 30678, 473, 312, 409, 504, 15020, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 24, 473, 1381, 473, 419, 3800, 83, 15889, 323, 1244, 30678, 473, 272, 304, 20072, 291, 3768, 291, 1631, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 25, 473, 1666, 473, 22339, 11148, 473, 27133, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 26, 473, 2371, 473, 324, 275, 2758, 88, 1244, 30678, 473, 272, 4708, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 27, 473, 1725, 473, 1443, 21851, 345, 1056, 93, 473, 1443, 21851, 345, 473, 1443, 430, 14245, 1155, 473, 272, 2453, 354, 284, 8595, 737, 87, 473, 1158, 1736, 203, 28, 473, 2468, 473, 1443, 430, 14245, 1155, 473, 290, 19, 69, 473, 1443, 430, 14245, 1155, 473, 1443, 430, 14245, 1155, 473, 1158, 1736, 203, 29, 473, 1728, 473, 5926, 1224, 538, 473, 27133, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 2163, 473, 4648, 473, 18291, 1825, 689, 473, 290, 19, 69, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 2499, 473, 2593, 473, 15184, 366, 737, 473, 272, 4708, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 2138, 473, 5958, 473, 462, 12451, 473, 6921, 387, 402, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 3437, 473, 5045, 473, 356, 2033, 6991, 69, 1056, 93, 473, 356, 2033, 6991, 69, 473, 1443, 430, 14245, 1155, 473, 272, 27677, 4422, 29298, 5344, 4167, 473, 1158, 1736, 203, 3461, 473, 4711, 473, 10299, 276, 992, 79, 1244, 30678, 473, 272, 4708, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 3600, 473, 2872, 473, 1675, 6582, 1244, 30678, 473, 272, 304, 20072, 291, 3768, 291, 1631, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 2313, 473, 8043, 473, 284, 1873, 1810, 995, 473, 2125, 23671, 473, 1443, 430, 14245, 1155, 473, 272, 2453, 354, 284, 8595, 737, 87, 473, 12465, 1736, 203, 4033, 473, 6549, 473, 10004, 1244, 30678, 434, 436, 5567, 2779, 436, 1667, 1244, 30678, 473, 272, 4708, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 2643, 473, 5342, 473, 3058, 275, 504, 1244, 30678, 473, 328, 911, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 3657, 473, 4200, 473, 5622, 2074, 848, 93, 265, 434, 272, 27677, 4653, 3215, 69, 473, 272, 27677, 4653, 3215, 69, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 3462, 473, 9035, 473, 3661, 1165, 5344, 530, 473, 27133, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 5340, 473, 11201, 473, 15516, 10730, 1244, 30678, 473, 272, 4708, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 3787, 473, 10213, 473, 328, 911, 1056, 93, 473, 328, 911, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 1158, 1736, 203, 4366, 473, 4248, 473, 328, 427, 1035, 479, 1244, 30678, 473, 524, 2808, 69, 473, 1443, 430, 14245, 1155, 473, 272, 27677, 4422, 29298, 5344, 4167, 473, 12465, 1736, 203, 3247, 473, 6969, 473, 328, 369, 77, 473, 272, 304, 525, 11867, 372, 267, 473, 1443, 430, 14245, 1155, 473, 18291, 1244, 30678, 473, 12465, 1736, 203, 2947, 473, 10659, 473, 312, 409, 504, 15020, 1056, 93, 473, 312, 409, 504, 15020, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 1158, 1736, 203, 5558, 473, 12732, 473, 6921, 387, 402, 1056, 93, 473, 6921, 387, 402, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 1158, 1736, 203, 5324, 473, 9131, 473, 5344, 17895, 6115, 473, 272, 304, 324, 275, 11250, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 6030, 473, 12899, 473, 5344, 10489, 323, 264, 473, 27133, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 5540, 473, 5196, 473, 27133, 69, 1244, 30678, 473, 27133, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 5082, 473, 8231, 473, 27133, 69, 17, 816, 362, 69, 1056, 606, 473, 290, 19, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 1158, 1736, 203, 6938, 473, 3847, 473, 21435, 1825, 689, 473, 290, 19, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 1578, 473, 13159, 473, 320, 581, 90, 14120, 473, 27133, 69, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 689, 473, 12465, 1736, 203, 3707, 473, 13438, 473, 14699, 83, 23152, 1040, 473, 272, 304, 20072, 291, 3768, 291, 1631, 473, 1443, 430, 14245, 1155, 473, 18291, 1825, 689, 473, 12465, 1736, 203, 5026, 473, 13191, 473, 1755, 366, 737, 87, 328, 911, 1056, 93, 473, 328, 911, 473, 1443, 430, 14245, 1155, 473, 21435, 1825, 2 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1158, 473, 943, 12, 88, 22, 18, 2135, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 6604, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 943, 12, 88, 21, 18, 75, 9295, 3631, 268, 22, 18, 4924, 628, 12797, 487, 268, 21, 1233, 12843, 487, 268, 22, 603, 268, 21, 18, 14240, 67, 350, 273, 268, 22, 18, 14240, 67, 350, 411, 2121, 67, 529, 34, 294, 12797, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 12797, 67, 350, 473, 12797, 473, 366, 304, 94, 77, 473, 366, 2273, 89, 67, 84, 11652, 267, 473, 29734, 67, 23555, 473, 314, 9295, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 699, 539, 3395, 77, 473, 225, 132, 102, 131, 121, 131, 237, 132, 104, 131, 118, 131, 120, 473, 699, 132, 101, 131, 259, 3368, 76, 132, 105, 131, 241, 77, 473, 10213, 1611, 29, 25005, 473, 5342, 3657, 18, 10321, 1736, 203, 21, 473, 576, 473, 6468, 78, 310, 261, 525, 77, 539, 26560, 262, 473, 225, 132, 103, 131, 240, 131, 250, 132, 102, 131, 123, 131, 110, 473, 290, 132, 101, 131, 99, 82, 78, 132, 102, 131, 109, 3368, 473, 1725, 713, 8749, 3672, 473, 1666, 3461, 18, 2539, 1736, 203, 22, 473, 890, 473, 25733, 23121, 1395, 261, 998, 580, 21102, 539, 262, 473, 225, 132, 104, 131, 256, 131, 260, 132, 103, 131, 120, 131, 257, 473, 366, 132, 101, 131, 99, 3368, 23121, 132, 103, 131, 240, 89, 473, 1725, 26874, 16010, 473, 2371, 1611, 18, 2643, 1736, 203, 23, 473, 1059, 473, 1597, 23121, 1395, 261, 525, 77, 539, 26560, 262, 473, 225, 132, 106, 131, 238, 131, 242, 132, 103, 131, 120, 131, 257, 19, 225, 132, 106, 131, 251, 131, 234, 132, 103, 131, 120, 131, 257, 473, 272, 132, 103, 131, 109, 23121, 132, 103, 131, 240, 89, 473, 1728, 8749, 25, 2733, 24, 473, 1728, 11212, 18, 27, 1736, 203, 24, 473, 1381, 473, 290, 310, 1075, 261, 998, 580, 21102, 539, 262, 473, 225, 132, 103, 131, 111, 131, 228, 132, 104, 131, 116, 131, 100, 19, 225, 132, 103, 131, 112, 131, 105, 132, 104, 131, 116, 131, 100, 473, 290, 132, 101, 131, 260, 3368, 70, 132, 103, 131, 240, 473, 2371, 4848, 4313, 6675, 473, 1666, 1611, 18, 6260, 1736, 203, 25, 473, 1666, 473, 341, 2616, 77, 261, 525, 77, 539, 26560, 262, 473, 225, 132, 104, 131, 250, 131, 259, 132, 107, 131, 247, 131, 99, 19, 225, 132, 105, 131, 231, 131, 99, 132, 107, 131, 239, 131, 109, 473, 341, 132, 101, 131, 123, 92, 132, 102, 131, 109, 473, 1666, 6418, 5558, 3247, 473, 1666, 5482, 18, 3103, 1736, 203, 26, 473, 2371, 473, 290, 970, 932, 261, 525, 77, 539, 26560, 262, 473, 225, 132, 103, 131, 240, 131, 250, 132, 107, 131, 227, 131, 253, 473, 290, 132, 101, 131, 99, 496, 132, 103, 131, 240, 3368, 473, 2371, 6030, 6030, 4763, 473, 1059, 6840, 18, 3103, 1736, 203, 27, 473, 1725, 473, 6056, 2409, 310, 261, 998, 580, 21102, 539, 262, 473, 225, 132, 105, 131, 124, 131, 240, 132, 103, 131, 232, 131, 117, 19, 225, 132, 105, 131, 117, 131, 122, 132, 106, 131, 235, 131, 235, 473, 699, 132, 101, 131, 259, 2409, 132, 102, 131, 109, 3368, 473, 17160, 2138, 6976, 473, 3847, 29, 18, 2138, 1736, 203, 28, 473, 2468, 473, 9435, 23121, 1395, 261, 525, 77, 539, 26560, 262, 473, 225, 132, 103, 131, 121, 131, 121, 132, 103, 131, 120, 131, 257, 473, 462, 132, 101, 131, 99, 3368, 23121, 132, 103, 131, 240, 89, 473, 1059, 6162, 3657, 9060, 473, 890, 8204, 18, 3028, 1736, 203, 29, 473, 1728, 473, 525, 267, 76, 11886, 261, 998, 580, 21102, 539, 262, 473, 225, 132, 107, 131, 234, 131, 244, 132, 103, 131, 240, 131, 241, 19, 225, 132, 107, 131, 234, 131, 244, 132, 106, 131, 242, 131, 112, 473, 525, 132, 102, 131, 109, 82, 76, 89, 132, 101, 131, 99, 473, 17077, 3461, 6625, 473, 4248, 24, 18, 4700, 1736, 203, 2163, 473, 4648, 473, 525, 77, 651, 310, 261, 998, 580, 21102, 539, 262, 473, 225, 132, 103, 131, 251, 131, 236, 132, 103, 131, 232, 131, 117, 19, 225, 132, 103, 131, 251, 131, 236, 132, 106, 131, 235, 131, 235, 473, 525, 77, 132, 102, 131, 228, 92, 132, 102, 131, 109, 3368, 473, 1059, 9172, 26874, 473, 576, 6028, 18, 11861, 1736, 203, 2499, 473, 2593, 473, 13561, 452, 76, 1395, 261, 998, 580, 21102, 539, 262, 473, 225, 132, 103, 131, 242, 131, 113, 132, 103, 131, 120, 131, 257, 473, 268, 132, 102, 131, 228, 452, 76, 132, 103, 131, 240, 89, 473, 1381, 10525, 5482, 713, 473, 576, 7235, 18, 7616, 1736, 203, 2138, 473, 5958, 473, 6772, 23121, 1395, 261, 525, 77, 539, 26560, 262, 473, 225, 132, 104, 131, 236, 131, 110, 132, 103, 131, 120, 131, 257, 19, 225, 132, 104, 131, 242, 131, 253, 132, 103, 131, 120, 131, 257, 473, 677, 132, 101, 131, 99, 3368, 23121, 132, 103, 131, 240, 89, 473, 13291, 6162, 27, 4848, 473, 576, 4449, 18, 4630, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 12843, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 12797, 67, 350, 473, 525, 304, 473, 1656, 70, 473, 21282, 473, 513, 86, 473, 525, 318, 473, 525, 332, 473, 31350, 473, 5478, 473, 10844, 473, 1158, 90, 473, 2109, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 8043, 18, 28, 473, 8043, 18, 28, 473, 6549, 18, 23, 473, 6549, 18, 29, 473, 4200, 18, 20, 473, 4200, 18, 26, 473, 4200, 18, 26, 473, 4200, 18, 26, 473, 4200, 18, 20, 473, 5342, 18, 24, 473, 6549, 18, 23, 1736, 203, 21, 473, 576, 473, 10659, 18, 21, 473, 10659, 18, 21, 473, 10659, 18, 21, 473, 10659, 18, 21, 473, 12732, 18, 28, 473, 12732, 18, 28, 473, 9131, 18, 23, 473, 9131, 18, 23, 473, 9131, 18, 23, 473, 12732, 18, 22, 2 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 943, 12, 88, 21, 18, 75, 9295, 13, 473, 2109, 1736, 203, 64, 13138, 5345, 203, 20, 473, 5342, 3657, 18, 10321, 473, 6549, 18, 23, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1308, 67, 6395, 628, 3023, 5054, 1625, 3023, 5054, 67, 350, 1545, 576, 578, 3314, 67, 8238, 5054, 67, 1937, 273, 14863, 17, 1611, 17, 5540, 4200, 30, 8942, 30, 7950, 578, 3023, 5054, 67, 7687, 273, 6555, 7812, 2027, 1308, 67, 6395, 628, 6885, 67, 9523, 6392, 1625, 22933, 67, 350, 480, 1728, 471, 22933, 67, 7687, 480, 6555, 471, 18110, 67, 350, 1545, 1666, 471, 1509, 67, 9523, 6392, 67, 409, 480, 14863, 17, 3103, 17, 2947, 15331, 30, 7414, 30, 8204, 578, 22933, 67, 723, 67, 710, 480, 10825, 471, 1308, 67, 6395, 480, 6555, 578, 1509, 67, 9523, 6392, 67, 1937, 480, 11015, 17, 6840, 17, 3437, 11201, 30, 3600, 30, 6260, 578, 22867, 1012, 480, 7412, 18551, 8192, 411, 2121, 67, 529, 34, 294, 3023, 5054, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3023, 5054, 67, 350, 473, 3023, 5054, 67, 723, 67, 710, 473, 6489, 27779, 67, 350, 473, 3314, 67, 8238, 5054, 67, 1937, 473, 3314, 67, 8238, 5054, 67, 409, 473, 3023, 5054, 67, 7687, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1839, 473, 2371, 473, 11015, 17, 5908, 17, 6260, 9631, 30, 7414, 30, 2947, 473, 14863, 17, 4630, 17, 6840, 17896, 30, 6840, 30, 1578, 473, 225, 473, 225, 1736, 203, 21, 473, 576, 473, 1839, 473, 5045, 473, 14863, 17, 1611, 17, 2163, 16314, 30, 5908, 30, 3103, 473, 14863, 17, 4630, 17, 8642, 16486, 30, 3247, 30, 8875, 473, 225, 473, 225, 1736, 203, 22, 473, 890, 473, 898, 473, 4648, 473, 11015, 17, 2138, 17, 3461, 13026, 30, 7132, 30, 5540, 473, 14863, 17, 4630, 17, 6840, 21058, 30, 2313, 30, 7414, 473, 225, 473, 225, 1736, 203, 23, 473, 1059, 473, 1839, 473, 1725, 473, 11015, 17, 7677, 17, 5908, 13026, 30, 3437, 30, 5908, 473, 14863, 17, 4630, 17, 5340, 5342, 30, 5026, 30, 4313, 473, 225, 473, 225, 1736, 203, 24, 473, 1381, 473, 898, 473, 890, 473, 11015, 17, 6840, 17, 2947, 2593, 30, 713, 30, 8749, 473, 14863, 17, 4630, 17, 2499, 5958, 30, 5340, 30, 8642, 473, 225, 473, 225, 1736, 203, 25, 473, 1666, 473, 898, 473, 2593, 473, 11015, 17, 2163, 17, 3462, 11201, 30, 5026, 30, 6334, 473, 14863, 17, 4630, 17, 2499, 2593, 30, 8204, 30, 7132, 473, 225, 473, 225, 1736, 203, 26, 473, 2371, 473, 898, 473, 4711, 473, 14863, 17, 3103, 17, 3657, 4648, 30, 6334, 30, 9401, 473, 14863, 17, 4630, 17, 4033, 2593, 30, 4763, 30, 9803, 473, 225, 473, 225, 1736, 203, 27, 473, 1725, 473, 898, 473, 1381, 473, 11015, 17, 2499, 17, 5558, 4711, 30, 6260, 30, 6260, 473, 14863, 17, 4630, 17, 2313, 8743, 30, 6418, 30, 2947, 473, 225, 473, 225, 1736, 203, 28, 473, 2468, 473, 328, 4384, 473, 4711, 473, 11015, 17, 2163, 17, 5082, 2872, 30, 3028, 30, 713, 473, 14863, 17, 4630, 17, 3787, 4200, 30, 3600, 30, 9462, 473, 225, 473, 225, 1736, 203, 29, 473, 1728, 473, 1839, 473, 4711, 473, 14863, 17, 1611, 17, 5540, 4200, 30, 8942, 30, 7950, 473, 14863, 17, 4630, 17, 6260, 17107, 30, 6938, 30, 3247, 473, 225, 473, 225, 1736, 203, 2163, 473, 4648, 473, 1839, 473, 1725, 473, 11015, 17, 2163, 17, 4630, 6549, 30, 6334, 30, 6938, 473, 14863, 17, 4630, 17, 4630, 5045, 30, 8204, 30, 8942, 473, 225, 473, 225, 1736, 203, 2499, 473, 2593, 473, 328, 4384, 473, 890, 473, 14863, 17, 1611, 17, 3462, 5342, 30, 7677, 30, 4313, 473, 14863, 17, 3103, 17, 2947, 10934, 30, 3462, 30, 5082, 473, 225, 473, 225, 1736, 203, 2138, 473, 5958, 473, 898, 473, 1728, 473, 11015, 17, 6840, 17, 3103, 10934, 30, 8749, 30, 5520, 473, 14863, 17, 4630, 17, 2163, 5045, 30, 8204, 30, 6938, 473, 225, 473, 225, 1736, 203, 3437, 473, 5045, 473, 1839, 473, 2593, 473, 11015, 17, 2138, 17, 2643, 5958, 30, 9462, 30, 10593, 473, 14863, 17, 4630, 17, 3028, 4200, 30, 9401, 30, 10593, 473, 225, 473, 225, 1736, 203, 3461, 473, 4711, 473, 328, 4384, 473, 4648, 473, 11015, 17, 6840, 17, 5340, 13026, 30, 9803, 30, 5540, 473, 14863, 17, 4630, 17, 3437, 4200, 30, 6418, 30, 5520, 473, 571, 473, 6555, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 6885, 67, 9523, 6392, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 22933, 67, 350, 473, 22933, 67, 723, 67, 710, 473, 18110, 67, 350, 473, 1509, 67, 9523, 6392, 67, 1937, 473, 1509, 67, 9523, 6392, 67, 409, 473, 22933, 67, 7687, 473, 22867, 1012, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 10825, 473, 1666, 473, 11015, 17, 8642, 17, 5908, 1728, 30, 3028, 30, 3437, 473, 14863, 17, 4630, 17, 6840, 5045, 30, 6840, 30, 6564, 473, 225, 473, 225, 473, 225, 1736, 203, 21, 473, 576, 473, 2411, 15850, 473, 5958, 473, 14863, 17, 1611, 17, 6938, 1728, 30, 10593, 30, 3437, 473, 14863, 17, 4630, 17, 2643, 6549, 30, 7132, 30, 6260, 473, 225, 473, 225, 473, 225, 1736, 203, 22, 473, 890, 473, 12471, 802, 473, 404, 473, 11015, 17, 2163, 17, 2163, 11201, 30, 8942, 30, 6564, 473, 14863, 17, 4630, 17, 3787, 17896, 30, 2163, 30, 4763, 473, 225, 473, 7412, 18551, 8192, 473, 225, 1736, 203, 23, 473, 1059, 473, 12471, 802, 473, 1728, 473, 11015, 17, 8642, 17, 3462, 8043, 30, 8942, 30, 3361, 473, 14863, 17, 4630, 17, 5908, 13026, 30, 6030, 30, 6334, 473, 225, 473, 225, 473, 225, 1736, 203, 24, 473, 1381, 473, 10825, 473, 2371, 473, 11015, 17, 6840, 17, 3437, 11201, 30, 3600, 30, 6260, 473, 14863, 17, 3103, 17, 2947, 15331, 30, 7414, 30, 8204, 473, 225, 473, 225, 473, 225, 1736, 203, 25, 473, 1666, 473, 12471, 802, 473, 1725, 473, 11015, 17, 7677, 17, 5908, 6549, 30, 1578, 30, 6030, 473, 14863, 17, 4630, 17, 3462, 1728, 30, 2 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1308, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6468, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 3214, 67, 1019, 67, 350, 628, 1353, 67, 26672, 606, 1041, 635, 7912, 67, 2327, 67, 710, 411, 2121, 67, 529, 34, 294, 1353, 67, 26672, 606, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2117, 67, 710, 473, 3214, 67, 1019, 67, 350, 473, 7912, 67, 2327, 67, 710, 473, 3419, 67, 351, 2817, 1340, 67, 350, 473, 433, 9031, 67, 350, 473, 7912, 67, 712, 1736, 203, 64, 13138, 5345, 203, 20, 473, 12732, 12797, 9437, 473, 4648, 473, 5695, 473, 1666, 473, 4648, 473, 14863, 17, 4630, 17, 5340, 9631, 30, 10321, 30, 3787, 1736, 203, 21, 473, 12732, 12797, 9437, 473, 404, 473, 603, 721, 361, 473, 1059, 473, 1728, 473, 14863, 17, 3103, 17, 5558, 8743, 30, 1578, 30, 7616, 1736, 203, 22, 473, 12732, 12797, 9437, 473, 890, 473, 5695, 473, 404, 473, 576, 473, 14863, 17, 4630, 17, 6840, 8043, 30, 4033, 30, 2138, 1736, 203, 23, 473, 26103, 6468, 2431, 1712, 473, 576, 473, 22112, 473, 2593, 473, 1728, 473, 14863, 17, 4630, 17, 4033, 5342, 30, 9452, 30, 6840, 1736, 203, 24, 473, 26103, 6468, 2431, 1712, 473, 576, 473, 603, 721, 361, 473, 404, 473, 1666, 473, 14863, 17, 4630, 17, 6260, 17107, 30, 4630, 30, 3247, 1736, 203, 25, 473, 13438, 324, 275, 94, 384, 473, 5045, 473, 22112, 473, 4648, 473, 1666, 473, 14863, 17, 4630, 17, 2138, 4200, 30, 7950, 30, 5324, 1736, 203, 26, 473, 26103, 6468, 2431, 1712, 473, 1666, 473, 603, 721, 361, 473, 4648, 473, 4648, 473, 14863, 17, 4630, 17, 3787, 11201, 30, 5908, 30, 4313, 1736, 203, 27, 473, 13438, 324, 275, 94, 384, 473, 1666, 473, 22112, 473, 576, 473, 1728, 473, 14863, 17, 4630, 17, 7677, 11201, 30, 5520, 30, 4033, 1736, 203, 28, 473, 13438, 324, 275, 94, 384, 473, 1381, 473, 22112, 473, 5045, 473, 1666, 473, 14863, 17, 4630, 17, 3103, 21058, 30, 4630, 30, 3437, 1736, 203, 29, 473, 26103, 6468, 2431, 1712, 473, 1725, 473, 5695, 473, 5958, 473, 1059, 473, 14863, 17, 4630, 17, 4033, 21058, 30, 5908, 30, 7677, 1736, 203, 2163, 473, 17066, 721, 792, 1712, 473, 2468, 473, 5695, 473, 890, 473, 2468, 473, 14863, 17, 3103, 17, 5558, 5958, 30, 3787, 30, 8643, 1736, 203, 2499, 473, 17066, 721, 792, 1712, 473, 1381, 473, 5695, 473, 1725, 473, 404, 473, 14863, 17, 4630, 17, 3462, 4200, 30, 5718, 30, 6334, 1736, 203, 2138, 473, 17066, 721, 792, 1712, 473, 2468, 473, 5695, 473, 5045, 473, 1381, 473, 14863, 17, 4630, 17, 3461, 15331, 30, 2313, 30, 4033, 1736, 203, 3437, 473, 17066, 721, 792, 1712, 473, 1728, 473, 5695, 473, 5958, 473, 4648, 473, 14863, 17, 4630, 17, 2643, 17896, 30, 4763, 30, 6840, 1736, 203, 3461, 473, 13438, 324, 275, 94, 384, 473, 1059, 473, 603, 721, 361, 473, 404, 473, 576, 473, 14863, 17, 4630, 17, 1611, 9631, 30, 3361, 30, 7950, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3214, 67, 1019, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 576, 1736, 203, 21, 473, 404, 1736, 203, 22, 473, 4648, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1056, 12, 3618, 67, 350, 13, 628, 20574, 1625, 6978, 67, 350, 1648, 1381, 411, 2121, 67, 529, 34, 294, 20574, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 20574, 67, 350, 473, 6978, 67, 350, 473, 12855, 473, 20574, 67, 712, 473, 6205, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 293, 2091, 816, 473, 31350, 641, 4044, 28, 473, 4711, 9449, 18, 20, 1736, 203, 21, 473, 576, 473, 890, 473, 286, 362, 816, 283, 322, 414, 473, 312, 991, 4044, 28, 473, 1666, 9449, 18, 20, 1736, 203, 22, 473, 890, 473, 1059, 473, 341, 398, 93, 473, 525, 7556, 27212, 473, 20170, 11706, 18, 20, 1736, 203, 23, 473, 1059, 473, 1381, 473, 341, 398, 93, 473, 10844, 83, 744, 4044, 25, 473, 890, 9449, 18, 20, 1736, 203, 24, 473, 1381, 473, 2371, 473, 272, 683, 6658, 28700, 473, 31350, 641, 4044, 28, 473, 890, 9449, 18, 20, 1736, 203, 25, 473, 1666, 473, 2468, 473, 293, 2091, 816, 473, 312, 991, 4044, 27, 473, 576, 9449, 18, 20, 1736, 203, 26, 473, 2371, 473, 1728, 473, 324, 1051, 292, 4808, 1072, 473, 513, 86, 330, 4044, 27, 473, 576, 9449, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1056, 12, 3618, 67, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1059, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 283, 24612, 628, 3161, 11853, 295, 414, 1041, 635, 508, 7999, 284, 465, 765, 273, 2523, 275, 411, 2121, 67, 529, 34, 294, 3161, 11853, 295, 414, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 981, 473, 508, 473, 910, 372, 14153, 473, 284, 465, 765, 473, 283, 24612, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 272, 6598, 473, 946, 93, 83, 473, 471, 93, 473, 15743, 18, 20, 1736, 203, 21, 473, 576, 473, 29034, 328, 5113, 473, 279, 641, 267, 473, 2523, 275, 473, 2130, 18, 20, 1736, 203, 22, 473, 890, 473, 366, 359, 1810, 88, 17, 2920, 1060, 473, 22148, 7603, 19880, 473, 525, 753, 473, 6437, 18, 20, 1736, 203, 23, 473, 1059, 473, 277, 362, 11061, 473, 506, 8302, 310, 473, 312, 814, 473, 4044, 18, 20, 1736, 203, 24, 473, 1381, 473, 284, 11501, 1282, 89, 473, 268, 10658, 91, 304, 473, 525, 22223, 473, 404, 5082, 18, 20, 1736, 203, 25, 473, 1666, 473, 5657, 343, 7654, 473, 779, 291, 473, 721, 25925, 473, 5196, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 283, 24612, 1736, 203, 64, 13138, 5345, 203, 20, 473, 2130, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 17402, 67, 350, 628, 3017, 67, 2859, 8127, 414, 1041, 635, 2078, 67, 1132, 67, 12688, 343, 8905, 7999, 3017, 67, 350, 273, 4648, 411, 2121, 67, 529, 34, 294, 3017, 67, 2859, 8127, 414, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 3017, 67, 350, 473, 17402, 67, 350, 473, 1509, 67, 2859, 3110, 67, 2080, 473, 1509, 67, 2859, 3110, 67, 869, 473, 2078, 67, 8949, 67, 12688, 343, 8905, 473, 2078, 67, 1132, 67, 12688, 343, 8905, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1059, 473, 890, 473, 11015, 17, 7677, 17, 3657, 9631, 30, 7616, 30, 6260, 473, 14863, 17, 4630, 17, 3247, 5342, 30, 5540, 30, 2643, 473, 28308, 5718, 26, 18, 6260, 473, 6580, 1611, 24, 18, 26, 1736, 203, 21, 473, 1725, 473, 1059, 473, 11015, 17, 8642, 17, 3103, 9631, 30, 4763, 30, 2138, 473, 14863, 17, 4630, 17, 2947, 10934, 30, 5082, 30, 7616, 473, 16927, 7140, 18, 10321, 473, 6580, 5324, 24, 18, 4313, 1736, 203, 22, 473, 890, 473, 890, 473, 11015, 17, 2163, 17, 3461, 5342, 30, 3600, 30, 6418, 473, 14863, 17, 4630, 17, 3247, 17896, 30, 5540, 30, 6334, 473, 4711, 5877, 22, 18, 7950, 473, 2371, 5324, 23, 18, 5608, 1736, 203, 23, 473, 2371, 473, 404, 473, 11015, 17, 6840, 17, 3787, 9631, 30, 8204, 30, 9452, 473, 14863, 17, 4630, 17, 3247, 17896, 30, 7414, 30, 6938, 473, 576, 4366, 1578, 18, 6840, 473, 1725, 3028, 22, 18, 8285, 1736, 203, 24, 473, 4711, 473, 1059, 473, 11015, 17, 2138, 17, 6840, 21058, 30, 3461, 30, 6260, 473, 14863, 17, 4630, 17, 3247, 10213, 30, 4630, 30, 5082, 473, 6969, 23, 2643, 18, 5340, 473, 576, 10689, 5718, 18, 5558, 1736, 203, 25, 473, 4648, 473, 404, 473, 11015, 17, 2138, 17, 1611, 5342, 30, 8749, 30, 8643, 473, 14863, 17, 4630, 17, 3247, 15331, 30, 3787, 30, 5718, 473, 13191, 26262, 18, 5608, 473, 1666, 9060, 2313, 18, 6938, 1736, 203, 26, 473, 4648, 473, 890, 473, 11015, 17, 8642, 17, 3437, 4711, 30, 3103, 30, 3247, 473, 14863, 17, 4630, 17, 3247, 10213, 30, 1611, 30, 4630, 473, 890, 2643, 8898, 18, 6162, 473, 22997, 2733, 22, 18, 9452, 1736, 203, 27, 473, 1381, 473, 576, 473, 11015, 17, 8642, 17, 6030, 5342, 30, 4366, 30, 5520, 473, 14863, 17, 4630, 17, 3247, 21058, 30, 4033, 30, 3600, 473, 1725, 6162, 3787, 18, 5292, 473, 1725, 2947, 3247, 18, 8778, 1736, 203, 28, 473, 1666, 473, 576, 473, 11015, 17, 2138, 17, 3462, 10934, 30, 8642, 30, 6938, 473, 14863, 17, 4630, 17, 3247, 10213, 30, 2947, 30, 8204, 473, 5178, 6334, 24, 18, 2643, 473, 16340, 6418, 21, 18, 2138, 1736, 203, 29, 473, 1059, 473, 404, 473, 11015, 17, 5908, 17, 3657, 17896, 30, 3461, 30, 3103, 473, 14863, 17, 4630, 17, 2947, 21058, 30, 3600, 30, 5082, 473, 3847, 5482, 21, 18, 7414, 473, 31360, 11035, 18, 11212, 1736, 203, 2163, 473, 4711, 473, 576, 473, 11015, 17, 6840, 17, 8642, 2593, 30, 6840, 30, 713, 473, 14863, 17, 4630, 17, 4366, 5342, 30, 5340, 30, 2138, 473, 5958, 27, 2138, 18, 12416, 473, 9934, 6625, 18, 4366, 1736, 203, 2499, 473, 1059, 473, 1059, 473, 11015, 17, 7677, 17, 5908, 8743, 30, 5082, 30, 7132, 473, 14863, 17, 4630, 17, 3247, 2593, 30, 4763, 30, 6840, 473, 2371, 11180, 2313, 18, 6938, 473, 2468, 3672, 5292, 18, 28, 1736, 203, 2138, 473, 1725, 473, 576, 473, 11015, 17, 7677, 17, 2947, 5045, 30, 6162, 30, 7132, 473, 14863, 17, 4630, 17, 3247, 2593, 30, 5324, 30, 3437, 473, 1725, 7414, 9036, 18, 8204, 473, 14605, 3028, 29, 18, 1611, 1736, 203, 3437, 473, 2371, 473, 1059, 473, 11015, 17, 2499, 17, 4033, 16314, 30, 4366, 30, 2313, 473, 14863, 17, 4630, 17, 2947, 2593, 30, 4630, 30, 3707, 473, 4200, 26, 6675, 18, 8285, 473, 1666, 2643, 713, 18, 8778, 1736, 203, 3461, 473, 5045, 473, 404, 473, 11015, 17, 6840, 17, 5908, 9035, 30, 5558, 30, 7414, 473, 14863, 17, 4630, 17, 3247, 6549, 30, 2313, 30, 9462, 473, 11492, 9462, 18, 2733, 473, 12732, 2947, 27, 18, 26, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 17402, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 1736, 203, 21, 473, 890, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2142, 12, 88, 21, 18, 2470, 264, 67, 350, 3631, 268, 22, 18, 2649, 628, 4864, 264, 487, 268, 21, 1233, 17180, 487, 268, 22, 603, 268, 21, 18, 2470, 264, 67, 350, 273, 268, 22, 18, 2470, 264, 67, 350, 1625, 272, 5408, 1545, 890, 11706, 18, 20, 471, 2077, 273, 2002, 8220, 24068, 578, 2901, 67, 91, 7825, 67, 81, 737, 1115, 1545, 8043, 18, 28, 578, 17180, 67, 350, 411, 1381, 411, 2121, 67, 529, 34, 294, 4864, 264, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 4864, 264, 67, 350, 473, 508, 473, 17057, 67, 6874, 473, 2901, 67, 91, 7825, 67, 81, 737, 1115, 473, 276, 305, 452, 275, 3261, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 328, 330, 2779, 73, 2701, 88, 1331, 477, 88, 473, 5342, 6334, 18, 20, 473, 5196, 18, 20, 473, 3812, 1359, 1736, 203, 21, 473, 576, 473, 4513, 376, 93, 29051, 1917, 473, 5342, 8875, 18, 20, 473, 9131, 18, 28, 473, 2836, 329, 5493, 1736, 203, 22, 473, 890, 473, 524, 1812, 29051, 1917, 473, 5342, 7616, 18, 20, 473, 10659, 18, 23, 473, 2836, 329, 5493, 1736, 203, 23, 473, 1059, 473, 9482, 291, 3512, 18688, 69, 473, 5342, 9452, 18, 20, 473, 8043, 18, 24, 473, 462, 398, 1736, 203, 24, 473, 1381, 473, 20138, 372, 3027, 312, 5913, 473, 5342, 7132, 18, 20, 473, 8043, 18, 28, 473, 2836, 329, 5493, 1736, 203, 25, 473, 1666, 473, 314, 15314, 436, 558, 76, 485, 473, 5342, 8643, 18, 20, 473, 8043, 18, 20, 473, 279, 27008, 287, 1155, 1736, 203, 26, 473, 2371, 473, 11375, 1072, 73, 417, 4801, 2253, 473, 5342, 8898, 18, 20, 473, 5045, 18, 23, 473, 314, 1035, 2273, 1736, 203, 27, 473, 1725, 473, 1223, 360, 671, 525, 22223, 816, 473, 5342, 9498, 18, 20, 473, 2593, 18, 27, 473, 2836, 329, 5493, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 17180, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 17180, 67, 350, 473, 2077, 473, 4864, 264, 67, 350, 473, 272, 5408, 473, 9742, 67, 3276, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 741, 2898, 5055, 518, 1807, 4513, 376, 15260, 473, 404, 473, 1728, 11290, 3784, 18, 20, 473, 404, 18, 20, 1736, 203, 21, 473, 576, 473, 284, 636, 79, 518, 261, 77, 2727, 1404, 2545, 1846, 1473, 13, 473, 404, 473, 21483, 3247, 8642, 18, 20, 473, 404, 18, 20, 1736, 203, 22, 473, 890, 473, 462, 69, 462, 69, 12701, 473, 576, 473, 13191, 3461, 5340, 18, 20, 473, 404, 18, 20, 1736, 203, 23, 473, 1059, 473, 745, 603, 1791, 473, 1059, 473, 890, 4763, 3784, 18, 20, 473, 404, 18, 20, 1736, 203, 24, 473, 1381, 473, 677, 73, 9795, 473, 576, 473, 890, 11706, 18, 20, 473, 404, 18, 20, 1736, 203, 25, 473, 1666, 473, 777, 333, 813, 473, 1666, 473, 576, 9975, 3784, 18, 20, 473, 404, 18, 20, 1736, 203, 26, 473, 2371, 473, 2002, 8220, 24068, 473, 1381, 473, 576, 5877, 3784, 18, 20, 473, 890, 18, 20, 1736, 203, 27, 473, 1725, 473, 312, 1094, 264, 22774, 314, 481, 80, 473, 2371, 473, 576, 9498, 3784, 18, 20, 473, 404, 18, 20, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2142, 12, 88, 21, 18, 2470, 264, 67, 350, 13, 473, 2077, 1736, 203, 64, 13138, 5345, 203, 20, 473, 4711, 473, 741, 2898, 5055, 518, 1807, 4513, 376, 15260, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 23350, 71, 5015, 67, 350, 628, 23350, 71, 5015, 1041, 635, 23350, 71, 5015, 67, 350, 7999, 23350, 71, 5015, 67, 350, 480, 576, 1335, 2027, 23350, 71, 5015, 67, 350, 628, 23350, 655, 67, 1826, 71, 5015, 1041, 635, 23350, 71, 5015, 67, 350, 7999, 23350, 71, 5015, 67, 350, 1648, 1381, 411, 2121, 67, 529, 34, 294, 23350, 71, 5015, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 23350, 71, 5015, 67, 350, 473, 23350, 71, 5015, 473, 2477, 473, 943, 67, 75, 3984, 67, 4865, 473, 2078, 67, 10863, 67, 5036, 473, 943, 67, 10863, 67, 15174, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 721, 4757, 816, 436, 17, 3787, 473, 9052, 12788, 13150, 335, 3838, 264, 473, 404, 16, 6418, 20, 7831, 261, 4449, 25, 417, 75, 13, 473, 1059, 10580, 11038, 131, 115, 261, 8749, 18, 22, 312, 131, 115, 13, 473, 576, 18, 26, 7831, 19, 1222, 131, 115, 261, 3461, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 21, 473, 576, 473, 324, 1165, 4200, 26, 70, 23, 525, 16354, 11455, 473, 268, 15850, 538, 3395, 1222, 12788, 13150, 335, 3838, 264, 473, 890, 16, 6976, 7831, 261, 21, 16, 7950, 21, 417, 75, 13, 473, 1725, 9060, 11038, 131, 115, 261, 11861, 18, 21, 312, 131, 115, 13, 473, 890, 18, 27, 7831, 19, 1222, 131, 115, 261, 2643, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 22, 473, 890, 473, 462, 17, 9462, 72, 462, 267, 1184, 473, 17126, 19117, 4168, 280, 13150, 335, 3838, 264, 473, 6437, 16, 3784, 7831, 261, 3787, 16, 26, 3672, 417, 75, 13, 473, 1381, 16, 26, 2539, 11038, 131, 115, 261, 25, 5558, 312, 131, 115, 13, 473, 1725, 18, 28, 7831, 19, 1222, 131, 115, 261, 8942, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 23, 473, 1059, 473, 312, 330, 12837, 17, 5558, 473, 3904, 23935, 17, 80, 2136, 13150, 335, 3838, 264, 473, 17335, 16, 12483, 7831, 261, 4313, 16, 3784, 417, 75, 13, 473, 1725, 16, 7616, 25, 11038, 131, 115, 261, 27, 6675, 312, 131, 115, 13, 473, 5045, 18, 25, 7831, 19, 1222, 131, 115, 261, 11212, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 24, 473, 1381, 473, 462, 17, 8643, 73, 2240, 384, 454, 285, 473, 3904, 23935, 17, 80, 2136, 13150, 335, 3838, 264, 473, 26103, 16, 12483, 7831, 261, 3707, 16, 19249, 417, 75, 13, 473, 1059, 16, 29, 713, 11038, 131, 115, 261, 24, 4848, 312, 131, 115, 13, 473, 4711, 7831, 19, 1222, 131, 115, 261, 9060, 417, 75, 19, 81, 131, 115, 13, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 23350, 655, 67, 1826, 71, 5015, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 612, 473, 23350, 655, 67, 350, 473, 23350, 71, 5015, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1666, 473, 1381, 1736, 203, 21, 473, 576, 473, 576, 473, 404, 1736, 203, 22, 473, 890, 473, 404, 473, 576, 1736, 203, 23, 473, 1059, 473, 2468, 473, 890, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 23350, 71, 5015, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 1059, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 3286, 628, 1603, 30321, 1625, 31307, 1545, 1059, 471, 5927, 67, 350, 67, 91, 7872, 273, 276, 267, 471, 884, 20910, 67, 350, 67, 383, 550, 480, 524, 471, 5927, 67, 350, 67, 383, 550, 273, 1619, 578, 268, 606, 480, 374, 578, 24528, 273, 404, 1335, 2027, 3286, 628, 7291, 67, 1293, 298, 908, 1625, 7291, 67, 350, 480, 417, 15491, 4840, 1611, 411, 2121, 67, 529, 34, 294, 1603, 30321, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3286, 473, 3643, 473, 5927, 67, 350, 67, 91, 7872, 473, 884, 20910, 67, 350, 67, 91, 7872, 473, 5927, 67, 350, 67, 383, 550, 473, 884, 20910, 67, 350, 67, 383, 550, 473, 31307, 473, 24528, 473, 268, 606, 1736, 203, 64, 13138, 5345, 203, 20, 473, 6549, 5193, 473, 4945, 473, 450, 473, 7741, 473, 290, 879, 473, 12391, 473, 890, 473, 374, 473, 374, 1736, 203, 21, 473, 404, 5482, 25, 473, 4945, 473, 462, 71, 473, 7741, 473, 384, 80, 473, 12391, 473, 890, 473, 890, 473, 404, 1736, 203, 22, 473, 6549, 5292, 473, 4945, 473, 384, 80, 473, 12391, 473, 462, 71, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 23, 473, 404, 5482, 27, 473, 4945, 473, 3681, 82, 473, 7741, 473, 384, 80, 473, 12391, 473, 1728, 473, 1381, 473, 374, 1736, 203, 24, 473, 404, 5482, 28, 473, 4945, 473, 290, 4338, 473, 7741, 473, 384, 80, 473, 12391, 473, 1666, 473, 1059, 473, 374, 1736, 203, 25, 473, 404, 5482, 29, 473, 4945, 473, 290, 4338, 473, 7741, 473, 23670, 473, 12391, 473, 1666, 473, 890, 473, 374, 1736, 203, 26, 473, 6549, 9349, 473, 4945, 473, 23670, 473, 7741, 473, 437, 89, 473, 12391, 473, 890, 473, 890, 473, 404, 1736, 203, 27, 473, 6549, 9975, 473, 2873, 473, 7081, 82, 473, 7741, 473, 927, 90, 473, 7741, 473, 1381, 473, 374, 473, 404, 1736, 203, 28, 473, 5342, 4630, 473, 4945, 473, 23904, 473, 524, 473, 293, 305, 473, 7741, 473, 1381, 473, 890, 473, 374, 1736, 203, 29, 473, 5342, 6260, 473, 4945, 473, 15308, 21, 473, 7741, 473, 1844, 69, 473, 524, 473, 1059, 473, 404, 473, 374, 1736, 203, 2163, 473, 5342, 7677, 473, 4945, 473, 462, 69, 473, 524, 473, 462, 82, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 2499, 473, 5342, 8642, 473, 4945, 473, 462, 82, 473, 7741, 473, 3023, 473, 524, 473, 1059, 473, 374, 473, 374, 1736, 203, 2138, 473, 5342, 6840, 473, 4945, 473, 462, 82, 473, 7741, 473, 3023, 473, 524, 473, 1059, 473, 404, 473, 374, 1736, 203, 3437, 473, 5342, 5908, 473, 4945, 473, 293, 305, 473, 7741, 473, 3023, 473, 524, 473, 1059, 473, 890, 473, 374, 1736, 203, 3461, 473, 5342, 2163, 473, 4945, 473, 1844, 69, 473, 524, 473, 462, 82, 473, 7741, 473, 1059, 473, 404, 473, 374, 1736, 203, 3600, 473, 5342, 2499, 473, 4945, 473, 1844, 69, 473, 524, 473, 15308, 21, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 2313, 473, 5342, 2138, 473, 4945, 473, 23904, 473, 524, 473, 15308, 21, 473, 7741, 473, 1059, 473, 890, 473, 374, 1736, 203, 4033, 473, 5342, 3437, 473, 4945, 473, 1844, 69, 473, 524, 473, 15308, 21, 473, 7741, 473, 1059, 473, 404, 473, 374, 1736, 203, 2643, 473, 5342, 3461, 473, 4945, 473, 7081, 82, 473, 7741, 473, 1844, 69, 473, 524, 473, 1059, 473, 374, 473, 374, 1736, 203, 3657, 473, 5342, 3600, 473, 4945, 473, 23904, 473, 524, 473, 7706, 473, 7741, 473, 1059, 473, 404, 473, 374, 1736, 203, 3462, 473, 5342, 2313, 473, 4945, 473, 23904, 473, 524, 473, 23670, 473, 7741, 473, 1059, 473, 404, 473, 374, 1736, 203, 5340, 473, 5342, 4033, 473, 4945, 473, 462, 69, 473, 524, 473, 15308, 21, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 3787, 473, 5342, 2643, 473, 4945, 473, 23904, 473, 524, 473, 462, 82, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 4366, 473, 5342, 3657, 473, 4945, 473, 276, 267, 473, 7741, 473, 462, 69, 473, 524, 473, 1381, 473, 890, 473, 374, 1736, 203, 3247, 473, 5342, 3462, 473, 4945, 473, 1619, 473, 524, 473, 23670, 473, 7741, 473, 1381, 473, 576, 473, 374, 1736, 203, 2947, 473, 5342, 5340, 473, 4945, 473, 15308, 21, 473, 7741, 473, 15308, 69, 473, 524, 473, 1381, 473, 890, 473, 374, 1736, 203, 5558, 473, 5342, 3787, 473, 4945, 473, 15308, 21, 473, 7741, 473, 15308, 69, 473, 524, 473, 1059, 473, 374, 473, 374, 1736, 203, 5324, 473, 5342, 4366, 473, 4945, 473, 15308, 69, 473, 524, 473, 15308, 21, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 6030, 473, 5342, 3247, 473, 4945, 473, 4945, 21, 473, 524, 473, 15308, 21, 473, 7741, 473, 1059, 473, 890, 473, 374, 1736, 203, 5540, 473, 5342, 2947, 473, 4945, 473, 293, 305, 473, 7741, 473, 4945, 21, 473, 524, 473, 1059, 473, 890, 473, 374, 1736, 203, 5082, 473, 5342, 5558, 473, 4945, 473, 2020, 82, 473, 7741, 473, 15308, 69, 473, 524, 473, 1059, 473, 890, 473, 374, 1736, 203, 6938, 473, 5342, 5324, 473, 4945, 473, 15308, 69, 473, 524, 473, 293, 305, 473, 7741, 473, 1059, 473, 374, 473, 374, 1736, 203, 1578, 473, 5342, 6030, 473, 4945, 473, 15308, 69, 473, 524, 473, 2020, 82, 473, 7741, 473, 1059, 473, 374, 473, 374, 1736, 203, 3707, 473, 5342, 5540, 473, 4945, 473, 1844, 69, 473, 524, 473, 462, 82, 473, 7741, 473, 1059, 473, 404, 473, 374, 1736, 203, 5026, 473, 5342, 5082, 473, 4945, 473, 1844, 69, 473, 524, 473, 2020, 82, 473, 7741, 473, 1059, 473, 576, 473, 374, 1736, 203, 4763, 473, 5342, 6938, 473, 4945, 473, 2020, 82, 473, 7741, 473, 1844, 69, 473, 524, 473, 1059, 473, 890, 473, 374, 1736, 203, 5718, 473, 5342, 1578, 473, 4945, 473, 15308, 69, 473, 524, 473, 462, 82, 473, 7741, 473, 1059, 473, 374, 473, 374, 1736, 203, 6418, 473, 5342, 3707, 473, 4945, 473, 15308, 2 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3286, 1736, 203, 64, 13138, 5345, 203, 20, 473, 12461, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 7291, 67, 350, 628, 366, 454, 67, 792, 67, 74, 339, 1625, 3577, 273, 5342, 28, 471, 1547, 853, 329, 480, 290, 1335, 2027, 7291, 67, 350, 628, 3301, 67, 69, 2913, 67, 25911, 1625, 3143, 67, 1896, 1648, 31907, 578, 7291, 67, 350, 480, 312, 1289, 10007, 2733, 471, 884, 20910, 67, 350, 480, 7741, 471, 19588, 67, 3645, 480, 404, 471, 279, 2913, 67, 350, 273, 13333, 434, 326, 3286, 578, 3286, 1545, 4044, 22, 578, 3143, 67, 91, 265, 405, 1059, 411, 2121, 67, 529, 34, 294, 366, 454, 67, 792, 67, 74, 339, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 3286, 350, 473, 331, 16474, 1637, 473, 26503, 6968, 473, 3577, 473, 19588, 473, 1547, 853, 329, 473, 3150, 473, 3577, 67, 7652, 1736, 203, 64, 13138, 5345, 203, 20, 473, 12731, 70, 4098, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 576, 3787, 473, 677, 473, 7291, 473, 225, 1736, 203, 21, 473, 436, 795, 12124, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 576, 3600, 473, 677, 473, 7291, 473, 225, 1736, 203, 22, 473, 341, 346, 4644, 15008, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 576, 3600, 473, 677, 473, 7291, 473, 225, 1736, 203, 23, 473, 4233, 8987, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 4200, 25, 473, 677, 473, 7291, 473, 225, 1736, 203, 24, 473, 525, 16699, 2387, 91, 69, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 6549, 29, 473, 677, 473, 7291, 473, 225, 1736, 203, 25, 473, 328, 4365, 885, 69, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 5045, 26, 473, 290, 473, 7291, 473, 225, 1736, 203, 26, 473, 272, 10244, 313, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 30537, 473, 290, 473, 7291, 473, 225, 1736, 203, 27, 473, 677, 465, 75, 2431, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 16344, 473, 290, 473, 7291, 473, 225, 1736, 203, 28, 473, 29404, 2387, 303, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 23633, 473, 290, 473, 7291, 473, 225, 1736, 203, 29, 473, 1825, 343, 8864, 77, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 8958, 473, 290, 473, 7291, 473, 225, 1736, 203, 2163, 473, 272, 291, 298, 908, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 28244, 473, 290, 473, 7291, 473, 225, 1736, 203, 2499, 473, 645, 549, 329, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 4752, 473, 290, 473, 7291, 473, 225, 1736, 203, 2138, 473, 645, 549, 21102, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 17066, 473, 290, 473, 7291, 473, 225, 1736, 203, 3437, 473, 279, 4149, 1273, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 21483, 473, 290, 473, 7291, 473, 225, 1736, 203, 3461, 473, 8244, 7256, 31703, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 21119, 473, 290, 473, 7291, 473, 225, 1736, 203, 3600, 473, 324, 455, 82, 303, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 17495, 473, 290, 473, 7291, 473, 225, 1736, 203, 2313, 473, 12519, 292, 359, 77, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 8063, 473, 290, 473, 7291, 473, 225, 1736, 203, 4033, 473, 392, 816, 5353, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 16977, 473, 290, 473, 7291, 473, 225, 1736, 203, 2643, 473, 22722, 310, 70, 89, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 16977, 473, 290, 473, 7291, 473, 225, 1736, 203, 3657, 473, 12519, 292, 359, 77, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 13159, 473, 290, 473, 7291, 473, 225, 1736, 203, 3462, 473, 341, 361, 765, 89, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 13159, 473, 290, 473, 7291, 473, 225, 1736, 203, 5340, 473, 677, 465, 75, 2431, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 3847, 473, 290, 473, 7291, 473, 225, 1736, 203, 3787, 473, 1464, 9795, 329, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 9035, 473, 290, 473, 7291, 473, 225, 1736, 203, 4366, 473, 284, 2409, 92, 21102, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 9035, 473, 290, 473, 7291, 473, 225, 1736, 203, 3247, 473, 29051, 674, 329, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 4200, 473, 290, 473, 7291, 473, 225, 1736, 203, 2947, 473, 6108, 2752, 30952, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 8043, 473, 290, 473, 7291, 473, 225, 1736, 203, 5558, 473, 1464, 9795, 329, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 8043, 473, 290, 473, 7291, 473, 225, 1736, 203, 5324, 473, 6719, 1075, 343, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 2872, 473, 290, 473, 7291, 473, 225, 1736, 203, 6030, 473, 268, 435, 6782, 77, 1611, 473, 5342, 5718, 473, 7129, 91, 7598, 473, 576, 5558, 473, 404, 7301, 473, 2872, 473, 290, 473, 7291, 473, 225, 1736, 203, 5540, 473, 29861, 715, 15299, 1611, 473, 5342, 5718, 473, 331, 847, 634, 473, 22860, 473, 14995, 473, 4711, 473, 290, 473, 7291, 473, 225, 1736, 2 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 443, 21617, 1611, 1736, 203, 21, 473, 3142, 8683, 287, 1611, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 2142, 12, 88, 21, 18, 319, 14462, 1187, 73, 295, 67, 350, 3631, 268, 22, 18, 28035, 67, 350, 628, 3281, 14462, 1187, 73, 295, 487, 268, 21, 1233, 16951, 487, 268, 22, 603, 268, 21, 18, 28035, 67, 350, 273, 268, 22, 18, 28035, 67, 350, 411, 2121, 67, 529, 34, 294, 3281, 14462, 1187, 73, 295, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 3281, 14462, 1187, 73, 295, 67, 350, 473, 16951, 67, 350, 473, 9395, 473, 15601, 67, 19065, 473, 2198, 395, 280, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 225, 3592, 922, 715, 473, 4711, 2787, 18, 20, 473, 302, 551, 304, 324, 1072, 270, 878, 73, 1736, 203, 21, 473, 576, 473, 576, 473, 3087, 14573, 328, 4465, 473, 2593, 2787, 18, 20, 473, 741, 637, 23657, 1060, 1736, 203, 22, 473, 890, 473, 890, 473, 884, 3931, 975, 473, 22431, 3784, 18, 20, 473, 767, 343, 292, 415, 6582, 2127, 1736, 203, 23, 473, 1059, 473, 1381, 473, 4674, 5861, 473, 1381, 2787, 18, 20, 473, 293, 847, 525, 5322, 1736, 203, 24, 473, 1381, 473, 1666, 473, 3399, 17515, 76, 452, 287, 14908, 473, 18821, 3784, 18, 20, 473, 3142, 265, 341, 4773, 303, 1403, 73, 1736, 203, 25, 473, 1666, 473, 1725, 473, 415, 452, 378, 546, 24902, 1917, 328, 4465, 473, 4648, 2787, 18, 20, 473, 302, 551, 304, 324, 1072, 270, 878, 73, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 16951, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 16951, 67, 350, 473, 508, 473, 2072, 473, 3119, 473, 1509, 67, 792, 67, 22531, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 284, 2450, 71, 742, 83, 1603, 360, 80, 285, 73, 473, 404, 18, 29, 473, 8958, 18, 20, 473, 5342, 9060, 17, 3028, 17, 5540, 1736, 203, 21, 473, 576, 473, 884, 265, 1060, 83, 4158, 24010, 473, 404, 18, 5292, 473, 15981, 18, 20, 473, 5342, 5877, 17, 6840, 17, 5324, 1736, 203, 22, 473, 890, 473, 22836, 86, 452, 1594, 25666, 265, 504, 479, 473, 404, 18, 10261, 473, 12292, 18, 20, 473, 5342, 4700, 17, 3028, 17, 6030, 1736, 203, 23, 473, 1059, 473, 21282, 2894, 314, 264, 8767, 473, 404, 18, 9060, 473, 18821, 18, 20, 473, 5342, 11212, 17, 6840, 17, 6260, 1736, 203, 24, 473, 1381, 473, 721, 744, 869, 7029, 2045, 354, 473, 404, 18, 5877, 473, 21017, 18, 20, 473, 5342, 9060, 17, 3103, 17, 7677, 1736, 203, 25, 473, 1666, 473, 10330, 304, 7314, 479, 496, 8767, 473, 404, 18, 8285, 473, 28308, 18, 20, 473, 5342, 11861, 17, 2499, 17, 5340, 1736, 203, 26, 473, 2371, 473, 524, 744, 869, 7603, 292, 8767, 473, 404, 18, 11149, 473, 17066, 18, 20, 473, 5342, 5608, 17, 5908, 17, 6030, 1736, 203, 27, 473, 1725, 473, 10843, 295, 452, 1594, 284, 292, 637, 83, 473, 404, 18, 8778, 473, 22997, 18, 20, 473, 5342, 11861, 17, 4630, 17, 3028, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 2142, 12, 88, 21, 18, 319, 14462, 1187, 73, 295, 67, 350, 13, 473, 16951, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 9035, 473, 404, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 268, 21, 18, 18526, 67, 917, 16, 11152, 12, 88, 22, 18, 6874, 350, 13, 628, 777, 67, 10983, 487, 268, 21, 1233, 366, 454, 67, 792, 67, 74, 339, 487, 268, 22, 603, 268, 21, 18, 14872, 67, 350, 273, 268, 22, 18, 14872, 67, 350, 411, 2121, 67, 529, 34, 294, 777, 67, 10983, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 7291, 67, 350, 473, 3286, 473, 7920, 67, 2107, 473, 7920, 67, 350, 473, 5927, 67, 350, 473, 884, 20910, 67, 350, 473, 4178, 473, 5023, 67, 917, 1736, 203, 64, 13138, 5345, 203, 20, 473, 314, 1742, 94, 298, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 404, 1736, 203, 21, 473, 284, 11110, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23904, 473, 524, 473, 404, 473, 576, 1736, 203, 22, 473, 8244, 7256, 31703, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 890, 1736, 203, 23, 473, 8244, 7256, 1354, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 3023, 473, 524, 473, 404, 473, 1059, 1736, 203, 24, 473, 7732, 79, 281, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1381, 1736, 203, 25, 473, 9998, 8302, 83, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 1666, 1736, 203, 26, 473, 462, 438, 1627, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2371, 1736, 203, 27, 473, 3142, 8683, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 69, 473, 524, 473, 404, 473, 1725, 1736, 203, 28, 473, 436, 795, 12124, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 404, 473, 2468, 1736, 203, 29, 473, 23713, 1385, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 404, 473, 225, 1736, 203, 2163, 473, 276, 492, 72, 287, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 4945, 21, 473, 524, 473, 404, 473, 225, 1736, 203, 2499, 473, 302, 1200, 73, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 2138, 473, 284, 264, 266, 1814, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 3437, 473, 284, 2409, 92, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 3461, 473, 314, 303, 941, 73, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1844, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 3600, 473, 366, 330, 323, 280, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 1619, 473, 524, 473, 374, 473, 225, 1736, 203, 2313, 473, 328, 3638, 11453, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 69, 473, 524, 473, 374, 473, 225, 1736, 203, 4033, 473, 27697, 13098, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 69, 473, 524, 473, 404, 473, 225, 1736, 203, 2643, 473, 366, 454, 21457, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 404, 1736, 203, 3657, 473, 341, 330, 2048, 21102, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 576, 1736, 203, 3462, 473, 268, 21938, 13266, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 15308, 21, 473, 7741, 473, 404, 473, 890, 1736, 203, 5340, 473, 3812, 291, 71, 4840, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1059, 1736, 203, 3787, 473, 312, 485, 3151, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 2020, 82, 473, 7741, 473, 404, 473, 1381, 1736, 203, 4366, 473, 324, 485, 329, 77, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 1666, 1736, 203, 3247, 473, 366, 1727, 402, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 276, 267, 473, 7741, 473, 404, 473, 2371, 1736, 203, 2947, 473, 324, 18639, 359, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7081, 82, 473, 7741, 473, 404, 473, 1725, 1736, 203, 5558, 473, 417, 298, 267, 343, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 7706, 473, 7741, 473, 404, 473, 2468, 1736, 203, 5324, 473, 15985, 952, 11250, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 23670, 473, 7741, 473, 404, 473, 225, 1736, 203, 6030, 473, 24691, 549, 6933, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5540, 473, 366, 485, 3368, 69, 1611, 473, 5342, 3707, 473, 374, 473, 524, 87, 3657, 3707, 20, 7301, 4848, 473, 462, 82, 473, 7741, 473, 404, 473, 225, 1736, 203, 5082, 473, 11891, 70, 26881, 1611, 2 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 5023, 67, 917, 473, 11152, 12, 88, 22, 18, 6874, 350, 13, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 5342, 3672, 18, 23, 3461, 8285, 5718, 5324, 24, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1087, 67, 350, 628, 1087, 67, 643, 87, 1625, 1087, 67, 643, 67, 350, 411, 2468, 7812, 2027, 1087, 67, 350, 628, 2140, 1625, 13765, 429, 67, 8949, 273, 2468, 471, 1087, 67, 350, 411, 404, 578, 1087, 67, 529, 480, 7689, 471, 13765, 429, 67, 878, 273, 404, 411, 2121, 67, 529, 34, 294, 1087, 67, 643, 87, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1087, 67, 643, 67, 350, 473, 1087, 67, 350, 473, 12530, 67, 6620, 67, 529, 473, 12530, 67, 3384, 473, 1308, 67, 643, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 21, 473, 576, 473, 404, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 22, 473, 890, 473, 890, 473, 2339, 473, 1760, 2140, 7194, 473, 225, 1736, 203, 23, 473, 1059, 473, 404, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 24, 473, 1381, 473, 404, 473, 14721, 473, 16212, 3159, 7194, 473, 225, 1736, 203, 25, 473, 1666, 473, 576, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 26, 473, 2371, 473, 404, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 27, 473, 1725, 473, 890, 473, 2339, 473, 1760, 2140, 7194, 473, 225, 1736, 203, 28, 473, 2468, 473, 890, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 29, 473, 1728, 473, 404, 473, 8772, 473, 2181, 7194, 473, 225, 1736, 203, 2163, 473, 4648, 473, 890, 473, 14721, 473, 16212, 3159, 7194, 473, 225, 1736, 203, 2499, 473, 2593, 473, 576, 473, 14721, 473, 16212, 3159, 7194, 473, 225, 1736, 203, 2138, 473, 5958, 473, 890, 473, 2339, 473, 1760, 2140, 7194, 473, 225, 1736, 203, 3437, 473, 5045, 473, 404, 473, 2339, 473, 1760, 2140, 7194, 473, 225, 1736, 203, 3461, 473, 4711, 473, 890, 473, 14721, 473, 16212, 3159, 7194, 571, 473, 6555, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 2140, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1087, 67, 350, 473, 1087, 67, 529, 473, 13765, 429, 67, 878, 473, 13765, 429, 67, 8949, 473, 1308, 67, 2680, 67, 6395, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 1760, 473, 374, 473, 1059, 473, 225, 1736, 203, 21, 473, 576, 473, 7689, 473, 404, 473, 2468, 473, 225, 1736, 203, 22, 473, 890, 473, 2181, 473, 404, 473, 2468, 571, 473, 6555, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 97, 203, 64, 3669, 5345, 203, 473, 1087, 67, 350, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 1736, 203, 21, 473, 576, 1736, 203, 22, 473, 890, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 4025, 1131, 12, 88, 21, 18, 1911, 3631, 268, 22, 18, 3652, 628, 10810, 2413, 487, 268, 21, 1233, 729, 67, 18314, 487, 268, 22, 603, 268, 21, 18, 1911, 273, 268, 22, 18, 1911, 1625, 977, 480, 277, 437, 537, 3399, 394, 800, 93, 74, 7522, 18, 578, 2522, 340, 273, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 471, 2805, 414, 405, 1666, 6028, 3247, 2947, 471, 3590, 350, 273, 404, 578, 2699, 480, 7976, 36, 9565, 10983, 18, 832, 1041, 635, 2522, 340, 7999, 2522, 340, 480, 14863, 17, 4630, 17, 5908, 4200, 30, 1611, 30, 3103, 471, 508, 480, 277, 1949, 3161, 578, 943, 12, 350, 13, 1648, 404, 578, 2699, 480, 11375, 304, 36, 75, 4408, 18, 832, 203, 471, 2805, 414, 411, 1666, 6028, 3247, 2947, 1353, 635, 2699, 3044, 1800, 576, 411, 2121, 67, 529, 34, 294, 10810, 2413, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 612, 473, 4555, 473, 977, 473, 2522, 340, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 404, 473, 19439, 277, 17784, 268, 6598, 384, 1313, 18, 473, 14863, 17, 4630, 17, 5908, 4200, 30, 713, 30, 3461, 1736, 203, 21, 473, 576, 473, 890, 473, 10074, 277, 1240, 16343, 12122, 1382, 622, 328, 1727, 507, 93, 7637, 18, 473, 14863, 17, 4630, 17, 5908, 4200, 30, 1611, 30, 3103, 1736, 203, 22, 473, 1059, 473, 404, 473, 3399, 9395, 353, 366, 11256, 8216, 87, 18, 473, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 1736, 203, 23, 473, 1381, 473, 1059, 473, 29797, 16, 277, 1338, 1240, 279, 11315, 284, 634, 18, 473, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 1736, 203, 24, 473, 1666, 473, 1666, 473, 2231, 132, 100, 131, 227, 131, 252, 87, 276, 6516, 2848, 340, 341, 362, 275, 16, 284, 750, 364, 14958, 471, 2865, 1517, 1308, 16, 225, 486, 2537, 10074, 16, 1496, 3614, 2881, 5, 473, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 1736, 203, 25, 473, 2371, 473, 1381, 473, 277, 437, 537, 3399, 394, 800, 93, 74, 7522, 18, 473, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 1736, 203, 26, 473, 1725, 473, 1059, 473, 277, 1656, 292, 268, 2921, 471, 2727, 1404, 2545, 358, 1045, 1847, 87, 18, 473, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 1736, 203, 27, 473, 2468, 473, 1666, 473, 277, 9323, 279, 7517, 23909, 813, 4982, 326, 1142, 1825, 2268, 434, 17314, 473, 14863, 17, 4630, 17, 2138, 17896, 30, 5082, 30, 5082, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 203, 411, 2121, 67, 529, 34, 294, 729, 67, 18314, 521, 10086, 95, 7032, 2490, 8637, 2906, 2906, 2906, 97, 203, 64, 3669, 5345, 203, 473, 4555, 473, 508, 473, 2699, 473, 3590, 350, 473, 2805, 414, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 277, 1949, 3161, 473, 3742, 36, 12761, 395, 18, 832, 473, 404, 473, 1666, 6028, 3247, 2947, 1736, 203, 21, 473, 576, 473, 312, 814, 473, 312, 814, 36, 93, 5349, 18, 28049, 473, 576, 473, 1725, 9349, 1736, 203, 22, 473, 890, 473, 7721, 15481, 543, 473, 12986, 36, 9565, 1614, 83, 18, 832, 473, 10213, 473, 890, 6564, 2947, 5193, 25, 1736, 203, 23, 473, 1059, 473, 11375, 304, 473, 11375, 304, 36, 75, 4408, 18, 832, 473, 404, 473, 2130, 1736, 203, 24, 473, 1381, 473, 13806, 749, 30331, 473, 3742, 36, 9565, 10983, 18, 832, 473, 1728, 473, 2468, 22866, 28, 1736, 203, 25, 473, 1666, 473, 276, 3027, 302, 285, 473, 7976, 36, 9565, 10983, 18, 832, 473, 1381, 473, 576, 5520, 5324, 7616, 22, 1736, 203, 26, 473, 2371, 473, 290, 3145, 1385, 1756, 4728, 473, 1130, 36, 9565, 10983, 18, 832, 473, 1381, 473, 2468, 8942, 5877, 24, 6030, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

[ [ 1, 64, 10086, 95, 7032, 2490, 8637, 2906, 80, 97, 203, 64, 3669, 5345, 203, 473, 1131, 12, 88, 21, 18, 1911, 13, 473, 2699, 1736, 203, 64, 13138, 5345, 203, 20, 473, 404, 473, 3742, 36, 12761, 395, 18, 832, 1736, 203, 21, 473, 404, 473, 7976, 36, 9565, 10983, 18, 832, 1736, 203, 64, 9176, 5345, 203, 64, 409, 95, 7032, 2490, 97, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]