Search is not available for this dataset
input_ids
sequencelengths
53
512
attention_mask
sequencelengths
53
512
[ 3, 18474, 298, 2162, 1104, 1034, 494, 30376, 15, 18129, 9910, 1394, 311, 24930, 2996, 11179, 4705, 32917, 6539, 4905, 3043, 498, 18757, 36101, 428, 609, 20108, 332, 339, 1045, 20389, 20582, 298, 23145, 24043, 18055, 20, 205, 632, 3045, 6034, 9016, 27543, 12661, 3052, 1993, 563, 20295, 785, 22347, 4009, 39449, 298, 428, 803, 4905, 332, 309, 30807, 498, 4543, 1133, 3607, 2321, 8, 339, 1260, 32, 498, 28804, 39464, 2247, 2804, 12099, 311, 9570, 8342, 36101, 424, 498, 263, 6393, 13991, 23677, 387, 2804, 5578, 13293, 4502, 1382, 36101, 424, 498, 32734, 4911, 339, 15697, 8342, 5969, 205, 22457, 12303, 4009, 3298, 311, 4781, 339, 7485, 498, 27118, 8897, 36101, 1141, 4310, 469, 803, 29724, 3303, 13825, 311, 746, 20389, 20582, 298, 1006, 45114, 13965, 1407, 15897, 1959, 5965, 298, 842, 746, 8115, 24043, 18055, 298, 428, 14983, 28397, 18590, 309, 7991, 748, 2996, 20, 205, 1377, 2586, 345, 11178, 298, 3363, 4667, 7510, 2710, 1958, 2438, 298, 565, 3043, 498, 18757, 8, 7039, 498, 40516, 311, 1337, 2967, 14330, 5969, 4836, 347, 6034, 43561, 309, 2678, 19554, 5982, 20349, 298, 9215, 8299, 332, 6493, 19650, 5926, 28405, 20, 205, 632, 6165, 6034, 1394, 311, 2996, 1532, 2996, 3608, 27228, 373, 12680, 5941, 4011, 2675, 428, 47190, 925, 298, 986, 1272, 3150, 7442, 1165, 17203, 15296, 18170, 14135, 298, 1114, 3107, 384, 12400, 32, 498, 1073, 881, 567, 11560, 4022, 298, 772, 1684, 462, 13443, 16627, 5969, 205, 2672, 609, 2852, 6034, 977, 2489, 2997, 1993, 298, 977, 4759, 5542, 384, 4840, 42746, 2675, 1474, 2625, 869, 6393, 31606, 298, 6349, 33772, 339, 6034, 11204, 380, 772, 781, 5662, 7398, 311, 31692, 298, 37483, 8169, 774, 35121, 20, 205, 487, 1701, 3399, 34674, 21577, 617, 13903, 530, 3458, 298, 17046, 461, 8154, 814, 309, 1197, 34674, 24778, 384, 5145, 7665, 746, 12182, 20, 26881, 21209, 21206, 4430, 13305, 2491, 2929, 1108, 28651, 293, 4005, 872, 8174, 7794, 595, 4427, 298, 390, 24517, 17748, 995, 298, 11235, 384, 4500, 8978, 1248, 15745, 390, 4444, 1055, 1875, 20, 205, 5690, 590, 7272, 6224, 461, 9110, 387, 6194, 1197, 34674, 24778, 298, 1273, 9808, 10077, 2058, 15159, 1053, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 1709, 2824, 738, 3861, 31315, 10140, 205, 1709, 2824, 738, 3861, 9881, 205, 1709, 2824, 738, 3861, 4723, 205, 1709, 2824, 738, 3861, 7409, 205, 1709, 2824, 205, 5669, 15591, 515, 205, 290, 3147, 4048, 205, 1709, 2824, 738, 3861, 9087, 205, 1709, 2824, 738, 2295, 21967, 205, 1709, 2824, 738, 4534, 20125, 205, 1709, 2824, 738, 4641, 3861, 205, 1709, 2824, 738, 14062, 785, 205, 1709, 2824, 738, 26556, 6235, 23913, 4551, 205, 1709, 2824, 738, 3861, 9030, 205, 1709, 2824, 738, 4981, 7486, 6131, 205, 1709, 2824, 738, 4981, 7486, 3369, 205, 1709, 2824, 738, 3861, 16270, 205, 1709, 2824, 738, 3861, 19638, 205, 1709, 2824, 738, 26556, 23913, 3369, 205, 570, 1955, 2395, 959, 205, 1709, 2824, 738, 3861, 17509, 10140, 205, 31621, 32, 36904, 7907, 1625, 205, 31621, 32, 1944, 15304, 23, 1625, 205, 31621, 32, 24749, 4712, 1625, 205, 31621, 32, 23246, 3466, 1625, 205, 31621, 32, 9379, 16874, 1625, 205, 8, 1022, 7831, 10279, 43896, 18440, 8027, 1654, 8, 205, 8, 1578, 8310, 967, 32, 8381, 7353, 1117, 17191, 14052, 695, 16012, 23253, 7, 1654, 8, 205, 8, 1011, 2941, 311, 7729, 13288, 32882, 654, 1654, 8, 205, 8, 27, 14611, 498, 2932, 409, 855, 41923, 39526, 8, 205, 8, 26, 31851, 47205, 309, 27420, 2904, 1651, 1622, 6179, 1654, 8, 205, 8, 27853, 7610, 32, 15133, 46073, 1463, 22510, 523, 311, 36354, 406, 838, 42603, 1654, 8, 205, 8, 317, 4820, 317, 309, 1965, 35704, 23, 27776, 4907, 1654, 8, 205, 8, 290, 1464, 10492, 2708, 1481, 334, 497, 1203, 380, 311, 1337, 12050, 14654, 1654, 8, 205, 8, 43707, 523, 4631, 35669, 3217, 1256, 40104, 41750, 4534, 32929, 1476, 623, 856, 309, 3861, 27028, 961, 1654, 8, 205, 8, 43707, 523, 828, 2540, 334, 20535, 31869, 309, 33265, 5323, 1654, 8, 205, 11188, 17670, 48142, 419, 3280, 10199, 21613, 11959, 6663, 11068, 1156, 7832, 321, 309, 7032, 474, 8944, 20, 205, 22, 205, 357, 5361, 25168, 20565, 1268, 15618, 9430, 390, 4147, 5598, 9881, 597, 14671, 1199, 1078, 14389, 309, 5164, 1473, 20, 205, 274, 4285, 4236, 36152, 9259, 10410, 7742, 530, 1517, 523, 7054, 1757, 4482, 4246, 3442, 17621, 46719, 5379, 339, 9493, 36209, 10410, 20, 205, 1402, 860, 48142, 16633, 19410, 311, 7750, 1948, 5837, 551, 10946, 746, 7032, 474, 15832, 10129, 20, 205, 45302, 3576, 1565, 285, 1156, 7832, 321, 461, 4461, 2062, 6988, 309, 25077, 24078, 25828, 996, 4370, 8083, 17509, 20, 205, 6553, 41711, 5408, 227, 156, 239, 413, 4039, 2581, 4440, 339, 3623, 5328, 309, 17354, 12595, 635, 18407, 309, 35210, 1494, 24648, 205, 2176, 377, 581, 25310, 518, 328, 281, 4110, 7403, 156, 239, 1742, 9520, 498, 691, 14464, 287, 1290, 357, 309, 3698, 4785, 31764, 24648, 287, 9978, 11959, 205, 5304, 3129, 301, 413, 3519, 34485, 476, 470, 652, 19724, 8917, 6257, 498, 8917, 498, 31282, 10156, 311, 1337, 9178, 2349, 309, 4534, 7584, 4981, 7486, 6131, 205, 757, 432, 2349, 38297, 877, 5321, 23554, 1031, 1597, 7812, 544, 581, 298, 41185, 29584, 30103, 291, 384, 17569, 14762, 16837, 27280, 298, 41185, 26375, 25324, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 23178, 311, 1373, 40720, 26703, 359, 19097, 3107, 1145, 9866, 21047, 424, 637, 424, 637, 9055, 39961, 379, 24166, 1180, 339, 2786, 5362, 424, 3719, 424, 3950, 424, 3414, 339, 9766, 850, 32093, 596, 4788, 841, 10462, 18979, 11915, 2035, 4343, 13252, 5473, 798, 3821, 507, 16927, 520, 8121, 2035, 596, 205, 15349, 2736, 205, 8868, 841, 205, 327, 41071, 4840, 9866, 21047, 424, 2220, 22439, 379, 339, 469, 38822, 311, 2964, 379, 2197, 309, 571, 311, 2760, 39909, 596, 1114, 825, 1081, 1593, 524, 624, 27275, 40209, 309, 4301, 380, 469, 588, 1086, 4065, 311, 16349, 43241, 596, 205, 2672, 14187, 11374, 309, 4840, 4980, 339, 35219, 3565, 505, 583, 2618, 397, 46524, 637, 2207, 379, 330, 7988, 637, 12556, 5519, 379, 1956, 461, 17143, 309, 4840, 8517, 7126, 339, 35219, 3565, 884, 583, 20956, 2220, 637, 2207, 379, 1560, 841, 9814, 2736, 379, 11809, 592, 339, 637, 26531, 1114, 4323, 1667, 311, 571, 387, 12339, 546, 10868, 379, 4536, 2022, 753, 28691, 2663, 309, 15039, 4788, 2215, 494, 21607, 8836, 27, 1760, 596, 205, 2672, 35342, 592, 2384, 11555, 1583, 7005, 841, 2287, 2686, 7991, 1145, 14490, 22439, 379, 28444, 332, 12130, 10115, 1025, 311, 611, 5197, 379, 1114, 7939, 28737, 841, 20177, 25106, 384, 2458, 418, 947, 596, 1551, 408, 1519, 387, 3138, 15833, 596, 205, 281, 13635, 2525, 841, 498, 2630, 37722, 31897, 1145, 14490, 22439, 461, 4587, 379, 1121, 798, 13472, 1467, 596, 28336, 347, 4323, 384, 2384, 5413, 17758, 2336, 4788, 1482, 2525, 1887, 1792, 28288, 2215, 494, 643, 12304, 1760, 10557, 2158, 332, 841, 205, 267, 31387, 1461, 1873, 33240, 390, 6836, 397, 338, 481, 19097, 17104, 1145, 14490, 22439, 494, 1983, 15, 3745, 371, 481, 1123, 38230, 1252, 20809, 2294, 2996, 298, 338, 481, 835, 791, 1053, 298, 842, 4433, 11201, 397, 6088, 309, 2880, 1172, 21248, 27043, 387, 18770, 1046, 7837, 520, 371, 481, 14857, 379, 712, 1736, 17104, 1145, 14490, 22439, 298, 27090, 731, 726, 6881, 1046, 520, 371, 481, 461, 1036, 38230, 1121, 10691, 7979, 5510, 835, 791, 298, 9581, 5154, 359, 227, 156, 233, 4605, 27661, 37579, 298, 712, 565, 27661, 29834, 4526, 338, 481, 22755, 1145, 16349, 17748, 38935, 298, 37579, 29834, 4526, 338, 481, 38833, 1145, 19649, 11051, 20, 5402, 6288, 311, 35531, 33240, 2333, 309, 3260, 332, 20, 205, 770, 296, 2525, 1248, 2693, 841, 3716, 1038, 520, 371, 481, 3107, 1145, 14490, 22439, 14728, 4301, 9153, 2996, 1019, 339, 7104, 298, 717, 24551, 27661, 338, 481, 5917, 1145, 16349, 298, 24294, 6757, 338, 481, 38833, 1145, 19649, 11051, 379, 18082, 1038, 469, 1081, 2220, 637, 663, 24551, 763, 1413, 805, 309, 2407, 2244, 424, 10078, 19475, 379, 1114, 24551, 14965, 571, 298, 6701, 1873, 35736, 384, 2873, 578, 2962, 379, 8637, 20395, 848, 379, 424, 6225, 805, 309, 5633, 23315, 25106, 11725, 1081, 5729, 637, 424, 3107, 848, 2220, 637, 2418, 4805, 2384, 762, 461, 4587, 7837, 520, 371, 481, 428, 3107, 1145, 2220, 22439, 765, 1083, 1267, 5807, 387, 1783, 1226, 2945, 18509, 37579, 1006, 354, 1052, 10691, 387, 1783, 1226, 3445, 298, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 16486, 3272, 498, 29375, 1348, 2330, 429, 422, 281, 4779, 1394, 16424, 382, 4572, 373, 16967, 25529, 856, 298, 12924, 295, 2300, 298, 14354, 12202, 373, 1170, 630, 441, 2088, 390, 17668, 311, 549, 16848, 541, 2972, 47970, 1131, 4799, 4629, 1955, 16286, 24258, 334, 33526, 359, 2314, 3216, 359, 6948, 17018, 359, 8972, 498, 22521, 8, 309, 7659, 596, 1072, 1135, 1762, 298, 505, 7615, 1180, 19915, 458, 359, 311, 6603, 7049, 373, 1998, 8556, 12408, 998, 3741, 1561, 282, 311, 1616, 334, 20, 205, 39472, 5567, 2330, 19543, 447, 1617, 693, 373, 30199, 1596, 2269, 11744, 9506, 3258, 2008, 977, 25292, 3247, 525, 309, 1135, 1762, 7698, 358, 1394, 2088, 298, 12202, 373, 1170, 298, 1154, 511, 298, 287, 14544, 856, 20, 17370, 296, 373, 156, 233, 19393, 2177, 1130, 358, 311, 40127, 934, 3258, 2008, 23050, 383, 3059, 303, 16286, 631, 3834, 497, 13580, 732, 8990, 298, 1041, 4069, 11894, 20, 12675, 298, 4144, 1130, 358, 12028, 309, 4260, 20, 297, 9141, 373, 274, 5581, 12202, 373, 1170, 1260, 34179, 17952, 27916, 20, 205, 43997, 5567, 379, 551, 14354, 12202, 373, 1170, 5754, 309, 3422, 8272, 11979, 1486, 583, 985, 458, 359, 387, 1325, 3351, 298, 1114, 3090, 733, 10348, 6050, 339, 38459, 13092, 544, 298, 920, 469, 6713, 297, 2944, 359, 311, 2045, 6163, 625, 1479, 373, 282, 24464, 16542, 17377, 12481, 1927, 20, 3867, 311, 13707, 39507, 390, 3689, 4618, 20, 717, 551, 3227, 6437, 13090, 309, 3950, 7659, 20, 205, 1469, 31710, 16987, 7659, 304, 347, 373, 5180, 2088, 15688, 569, 339, 898, 1361, 13974, 20831, 298, 2926, 4106, 10337, 1466, 595, 11911, 15688, 569, 339, 1353, 347, 27190, 15755, 1246, 15466, 311, 6163, 24154, 205, 38272, 11255, 309, 7659, 339, 13355, 40119, 390, 30199, 1596, 2269, 11744, 9506, 3258, 2008, 379, 730, 2263, 319, 28115, 23422, 32, 498, 458, 19848, 5220, 993, 4111, 346, 285, 654, 1063, 6645, 419, 1487, 17963, 3210, 373, 516, 895, 45924, 497, 1268, 595, 11911, 9845, 311, 6163, 347, 15474, 12207, 2166, 579, 11912, 5506, 1636, 43159, 6846, 298, 855, 1863, 855, 1942, 37664, 6599, 4836, 497, 10337, 4794, 803, 308, 373, 388, 3257, 38283, 359, 309, 3950, 2157, 298, 15735, 4737, 39875, 1281, 298, 17489, 8619, 6947, 541, 227, 156, 239, 346, 32219, 805, 4037, 7659, 597, 611, 6312, 16955, 1937, 4737, 42061, 2368, 2749, 32, 498, 6660, 6255, 2088, 920, 15688, 569, 339, 898, 1361, 390, 1222, 34708, 276, 373, 1170, 10257, 311, 2045, 6163, 654, 3406, 462, 449, 3313, 347, 825, 3530, 1863, 5309, 2848, 36861, 282, 8911, 822, 334, 2035, 895, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 13834, 21419, 205, 17124, 3777, 4147, 21419, 309, 9002, 14315, 309, 5353, 4018, 1630, 15152, 384, 2420, 45995, 20, 712, 347, 2509, 983, 49003, 825, 10772, 21651, 25772, 28689, 1243, 298, 733, 2631, 2340, 4018, 4776, 21419, 5744, 21651, 28062, 12562, 3347, 309, 28062, 880, 3673, 25772, 282, 11301, 48603, 282, 869, 22279, 6092, 21651, 28062, 12562, 4218, 309, 2063, 3645, 4013, 870, 298, 7092, 5271, 2340, 4018, 384, 2761, 3885, 4504, 384, 10479, 6237, 298, 2240, 1055, 520, 3222, 22178, 859, 18091, 2340, 4018, 883, 442, 1086, 25229, 309, 43749, 2537, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 1402, 12415, 676, 309, 3002, 4636, 10984, 870, 1559, 2357, 1253, 5652, 20, 11482, 32, 676, 11305, 424, 45829, 20, 842, 21287, 385, 12415, 14614, 21544, 21831, 590, 298, 842, 12890, 9248, 18152, 20131, 359, 338, 18504, 340, 1249, 1021, 842, 13025, 6116, 332, 866, 346, 282, 34330, 20131, 359, 311, 12196, 342, 1138, 20, 842, 5797, 405, 12415, 424, 477, 1525, 7372, 3418, 5929, 309, 10688, 2338, 2765, 4045, 458, 897, 15559, 20, 11482, 32, 565, 405, 12415, 287, 9645, 332, 8760, 26036, 20, 842, 5797, 347, 346, 282, 21287, 385, 12415, 13202, 14614, 21831, 590, 20, 1114, 971, 405, 12415, 4636, 812, 474, 27119, 21296, 1693, 11125, 18717, 303, 1165, 1253, 19475, 20, 48085, 9153, 750, 11207, 1573, 5533, 20, 1203, 12415, 2356, 373, 542, 1253, 3808, 13018, 634, 298, 1203, 12415, 7868, 481, 35836, 747, 6995, 298, 4862, 539, 332, 9712, 311, 29343, 20, 5120, 13771, 373, 274, 405, 12415, 339, 1253, 16160, 298, 36363, 3078, 339, 4600, 3444, 723, 1604, 20, 1956, 410, 2013, 500, 11422, 405, 12415, 1533, 885, 982, 424, 7900, 20, 5120, 13771, 373, 25106, 339, 21361, 10127, 298, 424, 339, 21637, 25677, 800, 29878, 298, 546, 4899, 2004, 27418, 1595, 580, 20, 1395, 2013, 3120, 424, 32096, 8430, 291, 298, 424, 297, 346, 272, 346, 296, 2577, 505, 309, 12881, 20, 842, 5797, 9585, 2714, 359, 309, 13425, 13771, 373, 571, 339, 6403, 2990, 1065, 38862, 350, 7043, 20, 205, 10649, 4078, 11830, 14589, 8315, 31361, 17026, 5828, 738, 20444, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 12473, 469, 597, 2592, 4377, 561, 4835, 50258, 621, 2643, 205, 280, 20, 314, 31124, 7084, 516, 16, 205, 364, 5419, 1858, 7934, 2433, 3766, 19345, 5413, 18294, 339, 10796, 11919, 1991, 1428, 1191, 424, 23041, 298, 8063, 4937, 2551, 311, 12065, 347, 461, 5271, 15158, 1186, 11452, 717, 23045, 37693, 5722, 2600, 20, 205, 293, 2188, 1855, 6852, 6505, 12982, 15020, 1159, 4094, 6604, 2678, 3911, 5828, 1141, 8123, 384, 698, 2191, 1186, 16978, 6899, 387, 2907, 309, 2713, 4921, 5828, 20, 520, 3772, 428, 17254, 16410, 1830, 10118, 678, 2821, 298, 6585, 298, 24071, 8703, 639, 853, 2821, 17579, 9581, 27232, 16022, 560, 17582, 1607, 390, 5270, 1186, 11452, 15327, 30503, 384, 6440, 2368, 10634, 7636, 7073, 298, 924, 6634, 1186, 11452, 5800, 1191, 469, 597, 3772, 20, 25665, 384, 16535, 493, 20, 205, 10569, 8468, 339, 347, 469, 3547, 311, 20481, 3772, 462, 16381, 8070, 1281, 1467, 309, 4948, 2848, 6088, 298, 712, 23605, 291, 592, 3665, 2505, 1579, 485, 3538, 4367, 2088, 17407, 15300, 42709, 309, 2397, 5769, 589, 12023, 10857, 298, 390, 12687, 3748, 37854, 33495, 1428, 10081, 18428, 32997, 8076, 17107, 20, 205, 3588, 2800, 14830, 886, 311, 3665, 1428, 1191, 1391, 830, 339, 8651, 19136, 29432, 309, 3024, 1830, 298, 19136, 29432, 309, 4663, 298, 309, 484, 46501, 298, 309, 3179, 298, 309, 4048, 32176, 24131, 561, 4918, 34257, 298, 13309, 280, 29432, 309, 5893, 3772, 3096, 20, 205, 10633, 505, 461, 1005, 1169, 8545, 309, 10472, 1186, 11452, 24102, 10865, 339, 2322, 15946, 24523, 387, 1282, 5858, 10472, 298, 20233, 311, 762, 36215, 9291, 311, 24322, 1428, 16987, 1582, 541, 505, 4372, 7945, 1638, 3397, 597, 3772, 1121, 347, 4779, 2069, 311, 3138, 1186, 11452, 884, 32334, 1092, 10831, 1172, 384, 28212, 1273, 384, 1282, 38387, 20, 493, 390, 1427, 762, 1072, 872, 32294, 4005, 3138, 1863, 469, 597, 3772, 1232, 14909, 635, 319, 339, 5383, 298, 8063, 1264, 30851, 6803, 367, 537, 4310, 469, 7411, 3385, 530, 3103, 20, 205, 5425, 347, 4293, 2100, 1168, 311, 22181, 10043, 505, 567, 5858, 14230, 1121, 347, 3029, 1186, 11452, 2336, 17123, 43798, 282, 3408, 1728, 18921, 4299, 384, 3483, 12896, 1468, 8509, 311, 347, 4975, 10665, 9362, 3738, 311, 1582, 1915, 9600, 2420, 32461, 298, 717, 4299, 493, 1172, 802, 384, 2661, 309, 1694, 30161, 1943, 1695, 32111, 1991, 1428, 424, 2041, 1191, 20, 205, 2706, 6530, 1952, 469, 597, 6899, 512, 1952, 2907, 3318, 6508, 24461, 1186, 4731, 6049, 42667, 3711, 2631, 11213, 3448, 15280, 3268, 11, 390, 6319, 3748, 39241, 1610, 6672, 1315, 32329, 10827, 12210, 5967, 298, 1072, 520, 4183, 3171, 10921, 1186, 11452, 2907, 4256, 5858, 22590, 309, 4377, 7073, 20, 266, 733, 2095, 18921, 9673, 2884, 2622, 1610, 704, 625, 4014, 15051, 387, 4619, 428, 884, 733, 11827, 282, 2907, 20, 205, 2354, 30080, 311, 11213, 2786, 29237, 3339, 1494, 11658, 6069, 2505, 309, 4948, 2848, 1186, 11452, 298, 880, 461, 595, 9691, 3755, 38869, 2848, 11452, 309, 19760, 12982, 384, 806, 8316, 309, 30080, 21472, 311, 11213, 18889, 1053, 298, 880, 595, 3802, 802, 347, 1361, 1497, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 290, 406, 420, 281, 413, 497, 21700, 373, 263, 2026, 20212, 205, 44213, 3700, 931, 1641, 15912, 311, 323, 671, 373, 263, 20212, 3194, 2209, 1949, 31497, 373, 4700, 339, 4547, 3260, 23621, 37724, 339, 12028, 39353, 7129, 205, 3555, 5778, 1316, 21, 3948, 6323, 3233, 10211, 738, 35777, 373, 281, 323, 671, 373, 263, 20212, 16271, 5132, 10902, 373, 414, 298, 3581, 339, 3444, 2026, 298, 1720, 4359, 21947, 384, 347, 26073, 373, 318, 2002, 4361, 309, 3246, 12262, 12313, 309, 5072, 2026, 34786, 9292, 32274, 1468, 14302, 22073, 12260, 1393, 6392, 1108, 14644, 3194, 2209, 1949, 494, 10062, 1284, 15, 7618, 4889, 3700, 931, 1641, 15912, 311, 323, 671, 373, 263, 20212, 298, 565, 918, 7499, 359, 15891, 11, 311, 2026, 22091, 963, 687, 373, 318, 2002, 4361, 14140, 10878, 921, 9510, 309, 7365, 6424, 5515, 11029, 9689, 5515, 298, 2482, 6074, 4700, 347, 11032, 373, 321, 3114, 1976, 14919, 384, 35902, 373, 305, 311, 23621, 37724, 339, 12028, 20, 205, 23704, 28930, 6865, 2657, 8431, 16093, 563, 671, 373, 263, 18206, 2026, 20212, 298, 1165, 6326, 309, 2528, 1072, 6278, 2026, 29201, 1072, 5786, 311, 3720, 20, 446, 1200, 373, 281, 1102, 23621, 502, 3866, 373, 382, 339, 10208, 29201, 800, 26286, 2337, 1600, 28250, 288, 359, 20183, 15229, 359, 20212, 309, 2528, 10381, 339, 18206, 2026, 508, 8823, 14593, 298, 717, 347, 1300, 18206, 2026, 5464, 630, 11043, 311, 3720, 37724, 339, 12028, 309, 41306, 380, 7760, 380, 763, 671, 373, 263, 20212, 20, 30324, 580, 11410, 40257, 1740, 28930, 37724, 339, 12028, 1909, 347, 753, 2026, 36297, 802, 359, 25992, 35568, 3417, 3607, 274, 790, 332, 20, 205, 15337, 7786, 21008, 18671, 1111, 14222, 1646, 2209, 8239, 13856, 309, 4164, 298, 565, 498, 734, 671, 373, 263, 20212, 461, 3558, 5966, 359, 311, 1644, 10037, 24299, 2209, 8436, 394, 361, 2939, 339, 6374, 2113, 2026, 309, 785, 298, 1684, 23621, 37724, 339, 12028, 676, 32112, 8572, 2546, 4633, 21700, 373, 23129, 20212, 298, 1041, 9823, 42867, 359, 11819, 9299, 1046, 26073, 373, 318, 1740, 28930, 37724, 339, 12028, 595, 3563, 282, 4373, 15537, 18957, 311, 11407, 14919, 384, 3478, 11302, 339, 3129, 1102, 23621, 1547, 35283, 5969, 205, 19105, 21947, 384, 347, 323, 671, 373, 263, 20212, 821, 507, 14685, 22073, 2303, 25, 1222, 6392, 1021, 1165, 23505, 34890, 387, 23621, 37724, 339, 12028, 9158, 1021, 1038, 27162, 12434, 3169, 5132, 25416, 8858, 1790, 309, 3346, 20, 3131, 309, 4700, 428, 6825, 274, 7837, 1102, 23621, 746, 5373, 21329, 311, 3426, 866, 520, 23621, 461, 4054, 5298, 14933, 359, 763, 687, 373, 318, 384, 347, 301, 413, 3435, 277, 311, 10208, 446, 413, 378, 23595, 24447, 309, 2095, 8567, 298, 469, 1909, 347, 9325, 17638, 339, 31607, 12144, 373, 318, 1006, 9510, 309, 26627, 11266, 630, 1478, 8321, 11612, 811, 2290, 298, 1562, 373, 288, 5326, 16233, 359, 748, 2798, 1442, 339, 6801, 7910, 794, 15042, 1108, 205, 2672, 1085, 373, 1999, 4164, 12028, 339, 762, 1500, 311, 2305, 4116, 16999, 4997, 43615, 327, 359, 15655, 359, 311, 10037, 24299, 2209, 8239, 298, 4937, 26838, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 10712, 6677, 13692, 637, 16120, 205, 11328, 8885, 6259, 205, 17078, 734, 290, 3225, 6241, 646, 1298, 836, 339, 4784, 10906, 205, 15349, 2736, 2165, 12302, 298, 37953, 637, 339, 13893, 1186, 1915, 13327, 287, 1109, 1226, 23512, 8147, 23734, 469, 17161, 397, 298, 8147, 551, 764, 397, 1248, 1603, 2144, 298, 8147, 673, 27724, 6881, 359, 47630, 359, 583, 1298, 327, 2502, 24147, 331, 532, 1277, 298, 1786, 397, 1775, 3836, 4509, 4901, 397, 20732, 282, 298, 12569, 397, 20614, 40105, 4509, 4901, 397, 1341, 2715, 3452, 298, 1252, 18758, 1603, 418, 1821, 319, 5931, 298, 38080, 12302, 1002, 596, 205, 6929, 32, 205, 48307, 10462, 19601, 309, 14774, 5106, 311, 10474, 3589, 37383, 481, 10839, 10184, 42891, 781, 20, 205, 470, 10896, 455, 524, 276, 384, 5860, 15880, 485, 1052, 290, 22252, 359, 287, 45362, 359, 2925, 9969, 461, 4909, 798, 884, 520, 9969, 2543, 20, 205, 65, 76, 10004, 75, 33917, 25, 23344, 8, 67, 17078, 734, 290, 3225, 6241, 646, 1298, 836, 339, 4784, 10906, 65, 21, 76, 10004, 75, 67, 205, 14, 13746, 6394, 2094, 1186, 11944, 309, 4235, 6032, 1063, 32, 9969, 884, 2381, 2305, 3330, 17487, 1937, 10991, 1019, 1280, 24818, 8151, 3655, 21804, 205, 16003, 455, 524, 276, 384, 7299, 3069, 485, 1052, 290, 22252, 359, 2197, 27930, 282, 309, 8127, 20, 205, 1715, 2392, 205, 281, 4971, 524, 276, 384, 4784, 802, 359, 461, 758, 558, 311, 347, 18667, 2925, 9969, 9143, 287, 485, 1052, 290, 22252, 359, 2197, 5765, 350, 478, 38718, 282, 597, 4784, 20, 205, 14941, 290, 3225, 6241, 25197, 825, 311, 615, 4131, 1503, 32, 205, 17078, 4784, 5737, 738, 4784, 1803, 5144, 1070, 4784, 6946, 11923, 2791, 10906, 205, 65, 76, 10004, 75, 33917, 25, 23344, 8, 67, 8868, 359, 841, 4784, 15062, 65, 21, 76, 10004, 75, 67, 205, 27886, 646, 1628, 339, 4784, 347, 5044, 1046, 22876, 359, 1468, 853, 4369, 339, 41938, 298, 2338, 12979, 325, 15085, 359, 387, 8843, 494, 8307, 1070, 9712, 19, 2458, 1117, 2621, 1760, 205, 281, 40624, 15090, 10642, 461, 17545, 1333, 1273, 461, 758, 311, 347, 825, 8222, 359, 339, 3557, 5398, 18, 205, 1405, 3276, 637, 2270, 637, 848, 2119, 32, 205, 17078, 330, 7639, 44477, 921, 883, 7639, 4304, 387, 10984, 2797, 523, 10906, 65, 20250, 848, 67, 205, 16003, 6305, 461, 758, 311, 347, 44702, 1888, 29418, 5398, 18, 12101, 276, 3015, 7132, 7700, 461, 5673, 1333, 12101, 276, 2371, 311, 4378, 29206, 5143, 359, 4857, 4311, 3323, 20578, 2049, 387, 11943, 33075, 20, 205, 13245, 13883, 359, 469, 7773, 32, 205, 4092, 798, 670, 413, 280, 3323, 3583, 31098, 3638, 2800, 10535, 5818, 18, 309, 4022, 3323, 4110, 597, 4784, 20, 205, 4794, 5478, 3050, 309, 1233, 16043, 47512, 4343, 2372, 3057, 520, 8749, 2035, 205, 18734, 884, 311, 3265, 5398, 853, 305, 444, 18, 205, 16003, 798, 2874, 274, 8749, 4343, 12979, 1049, 3050, 654, 205, 1011, 2838, 1540, 19660, 332, 666, 10300, 31421, 309, 578, 431, 3323, 20, 205, 8058, 286, 11025, 702, 8302, 309, 2381, 6959, 14276, 20836, 6959, 6816, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 19, 40215, 841, 205, 4262, 3214, 1742, 1895, 1394, 311, 24636, 287, 13591, 7547, 2236, 21837, 339, 4808, 3344, 379, 20237, 288, 359, 287, 8344, 359, 379, 12460, 21828, 6241, 541, 719, 1795, 2500, 15219, 311, 22784, 1981, 966, 287, 337, 7625, 277, 966, 379, 287, 13211, 1993, 541, 7340, 384, 9946, 339, 762, 27208, 9808, 2226, 3303, 2557, 2556, 339, 28364, 29807, 424, 4437, 481, 379, 287, 13211, 13958, 544, 44521, 2451, 541, 5255, 387, 2710, 1428, 2500, 379, 287, 7340, 384, 2500, 2829, 9669, 288, 359, 2450, 2831, 359, 17396, 359, 30065, 379, 18312, 1911, 359, 387, 8230, 379, 287, 4183, 428, 8123, 384, 26619, 379, 9922, 359, 14523, 13591, 7547, 428, 1265, 6154, 309, 12237, 379, 878, 13211, 9310, 379, 287, 6241, 379, 287, 1993, 428, 3105, 692, 1138, 478, 339, 8230, 2155, 35584, 36692, 287, 8827, 282, 35614, 32206, 428, 19400, 339, 21422, 282, 596, 205, 266, 663, 36556, 394, 23666, 6604, 359, 10049, 359, 309, 3214, 15219, 8382, 6439, 4407, 311, 8230, 384, 2500, 379, 287, 12835, 4202, 12634, 20982, 359, 7437, 359, 379, 7387, 1008, 7588, 541, 45495, 45417, 5065, 379, 1114, 505, 2145, 8093, 287, 19943, 875, 1499, 1312, 309, 2661, 5100, 1032, 7904, 379, 1072, 2353, 2031, 11601, 2418, 2155, 12999, 9946, 287, 1446, 15355, 12634, 287, 2500, 287, 4781, 339, 5893, 3824, 10191, 16861, 379, 287, 4407, 28581, 387, 13144, 931, 15219, 311, 21719, 583, 1177, 304, 611, 3174, 387, 323, 674, 19021, 19341, 6672, 424, 2210, 596, 205, 19, 10040, 323, 4039, 841, 205, 266, 7180, 3631, 1033, 33015, 394, 23666, 6966, 10040, 323, 4039, 428, 4805, 347, 1347, 1449, 309, 1317, 9946, 676, 1102, 3368, 10543, 561, 2500, 541, 1835, 282, 30563, 1271, 6112, 26148, 379, 512, 565, 12638, 4009, 1032, 7904, 19586, 311, 31167, 9471, 309, 13877, 4009, 6753, 5873, 558, 10016, 567, 27253, 2072, 27909, 36692, 3962, 4159, 282, 920, 2401, 9471, 4009, 558, 32, 301, 2084, 404, 9273, 490, 41279, 327, 793, 985, 288, 20, 27409, 493, 347, 931, 15219, 461, 26465, 4744, 49514, 578, 16203, 1121, 387, 1282, 5780, 6753, 3828, 311, 1677, 765, 1038, 8230, 469, 567, 1121, 29842, 15897, 3070, 21636, 596, 205, 266, 461, 825, 931, 21738, 1121, 311, 615, 3368, 1132, 440, 481, 10543, 561, 8230, 42649, 33467, 9471, 379, 34290, 493, 339, 347, 931, 21738, 10401, 311, 47184, 2322, 319, 841, 2500, 541, 2759, 6625, 8275, 920, 5668, 802, 3521, 5384, 16318, 1421, 24540, 1271, 6112, 541, 35423, 5011, 2500, 1991, 35884, 6980, 666, 9225, 309, 2786, 508, 20291, 2580, 966, 47722, 494, 29245, 1070, 10017, 1070, 16133, 1070, 301, 688, 43458, 1070, 9870, 1070, 30673, 2156, 1760, 596, 1437, 3230, 2500, 15219, 34035, 339, 3572, 4728, 20926, 494, 37375, 15, 21280, 1981, 701, 494, 816, 6112, 15, 309, 2786, 10114, 3104, 32008, 589, 2500, 65, 23, 5049, 205, 19, 11530, 18957, 311, 984, 345, 6249, 1895, 309, 3529, 47097, 841, 205, 266, 8637, 11047, 8581, 156, 239, 1033, 33015, 323, 4039, 1252, 406, 753, 469, 4119, 282, 2158, 3529, 47097, 28837, 342, 947, 681, 348, 65, 24, 67, 311, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 205, 205, 98, 3263, 287, 346, 290, 346, 267, 373, 288, 283, 420, 267, 373, 288, 447, 373, 357, 420, 291, 413, 334, 346, 287, 346, 263, 420, 267, 373, 288, 385, 413, 334, 346, 750, 346, 156, 233, 420, 285, 346, 330, 413, 267, 373, 288, 457, 346, 272, 346, 531, 411, 420, 284, 346, 351, 420, 280, 346, 490, 359, 5634, 287, 346, 290, 346, 267, 373, 288, 980, 346, 267, 346, 267, 373, 531, 295, 346, 267, 227, 156, 233, 373, 267, 354, 373, 277, 463, 296, 420, 321, 346, 2205, 373, 282, 346, 297, 420, 156, 239, 2417, 463, 318, 420, 287, 346, 156, 233, 346, 267, 354, 373, 277, 463, 296, 420, 321, 346, 282, 413, 340, 346, 272, 346, 2548, 359, 5634, 287, 346, 290, 346, 267, 373, 288, 227, 156, 233, 346, 263, 373, 288, 344, 346, 263, 420, 277, 463, 267, 346, 288, 337, 463, 282, 413, 280, 346, 388, 346, 7945, 346, 267, 373, 288, 294, 420, 282, 420, 297, 346, 263, 346, 267, 227, 156, 239, 413, 435, 463, 263, 420, 267, 294, 420, 272, 346, 276, 373, 282, 420, 297, 346, 327, 346, 227, 156, 239, 346, 310, 346, 376, 413, 294, 346, 310, 463, 2897, 359, 287, 346, 327, 346, 383, 346, 282, 346, 949, 359, 5634, 287, 346, 290, 346, 267, 373, 288, 283, 420, 267, 373, 288, 337, 463, 263, 413, 286, 463, 156, 233, 420, 263, 413, 334, 346, 287, 346, 263, 420, 267, 373, 288, 337, 463, 284, 346, 352, 420, 306, 413, 334, 346, 297, 346, 263, 346, 267, 463, 295, 346, 286, 463, 156, 233, 346, 263, 346, 297, 346, 290, 413, 266, 463, 156, 233, 36366, 411, 420, 285, 346, 301, 346, 291, 346, 272, 373, 266, 463, 288, 463, 383, 346, 308, 346, 490, 359, 5634, 287, 346, 290, 346, 263, 373, 288, 337, 463, 284, 346, 352, 420, 306, 413, 334, 346, 297, 346, 285, 346, 317, 413, 497, 463, 227, 156, 233, 420, 296, 346, 282, 346, 267, 373, 263, 346, 338, 346, 306, 346, 2548, 359, 5634, 287, 346, 290, 346, 156, 233, 373, 266, 420, 936, 463, 274, 346, 284, 346, 328, 413, 497, 463, 300, 346, 156, 233, 346, 388, 477, 373, 272, 420, 449, 346, 275, 420, 8354, 463, 284, 346, 156, 239, 463, 267, 346, 524, 413, 263, 283, 373, 37055, 359, 480, 346, 280, 346, 949, 359, 5634, 227, 156, 233, 373, 267, 346, 281, 463, 274, 420, 267, 346, 282, 413, 263, 463, 297, 420, 942, 420, 287, 346, 263, 346, 267, 227, 156, 239, 413, 277, 463, 272, 420, 318, 463, 300, 346, 267, 750, 420, 285, 463, 272, 420, 383, 346, 276, 373, 282, 420, 227, 156, 239, 346, 286, 463, 156, 233, 413, 285, 463, 282, 413, 300, 346, 320, 346, 3512, 359, 429, 346, 277, 346, 490, 359, 3233, 205, 7506, 2207, 1288, 8124, 359, 387, 2575, 3267, 8759, 1288, 16719, 387, 5722, 3019, 33364, 5520, 6561, 334, 517, 397, 1027, 571, 99, 512, 748, 571, 3019, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 205, 205, 22772, 18, 4938, 8144, 7073, 2713, 32, 7401, 5429, 205, 8, 42642, 5277, 8, 14872, 6345, 3610, 11933, 387, 27819, 309, 12883, 45191, 498, 1558, 1724, 8, 5429, 205, 42642, 5277, 738, 277, 3111, 282, 528, 383, 1397, 453, 205, 2542, 16919, 1975, 4595, 1698, 339, 551, 6846, 4375, 7987, 11105, 855, 4997, 912, 844, 13493, 2683, 20, 205, 10488, 32224, 1703, 15705, 10129, 1473, 4764, 311, 9135, 29036, 19612, 309, 5297, 852, 18010, 24056, 5932, 309, 1300, 2987, 615, 622, 4447, 3724, 5578, 3504, 793, 39622, 1317, 24103, 309, 5297, 428, 8819, 47893, 20, 205, 7267, 32224, 339, 1499, 6345, 309, 12883, 45191, 4375, 9846, 311, 615, 3000, 6781, 4368, 39945, 5263, 1807, 20, 863, 42642, 5277, 807, 6036, 520, 863, 20997, 1784, 779, 2617, 807, 390, 1069, 311, 6345, 1854, 11933, 5297, 21745, 32871, 10665, 13204, 5297, 37710, 309, 22928, 5244, 10030, 311, 520, 9080, 1476, 674, 2269, 2017, 733, 3287, 15397, 5043, 12005, 16919, 1975, 4595, 1698, 20, 205, 281, 4793, 41760, 520, 12142, 20, 205, 19787, 4283, 39600, 317, 19, 2457, 24558, 205, 25981, 347, 4375, 6846, 9225, 25023, 390, 4384, 1490, 12534, 12990, 309, 5297, 298, 28175, 15826, 33676, 428, 14309, 1040, 520, 9080, 18, 9588, 1053, 339, 4375, 311, 1556, 6345, 1463, 4375, 541, 26771, 282, 309, 5297, 14493, 18208, 3195, 1081, 2489, 3705, 800, 7727, 1041, 298, 918, 2070, 311, 4375, 309, 1490, 32921, 3096, 298, 723, 1724, 40549, 1226, 20223, 723, 1724, 40549, 1226, 8943, 334, 3786, 1232, 387, 3437, 23066, 12456, 5095, 33288, 24098, 7455, 2330, 461, 37290, 288, 852, 20581, 546, 7190, 562, 595, 347, 2579, 384, 16413, 626, 266, 19295, 19354, 20521, 44787, 17460, 293, 20, 205, 2636, 385, 20, 39600, 317, 852, 347, 11942, 24098, 567, 2070, 311, 9061, 541, 4584, 6345, 297, 5593, 1046, 918, 863, 39095, 480, 932, 2436, 3608, 18682, 855, 14193, 2483, 2855, 19973, 15199, 18, 309, 7244, 384, 2868, 7096, 1165, 4375, 20, 48474, 347, 4126, 9846, 750, 16441, 5336, 747, 298, 1463, 6315, 750, 16441, 309, 2687, 4012, 2182, 309, 2687, 1306, 5801, 6280, 2692, 8895, 10439, 1306, 298, 2534, 758, 347, 14376, 1268, 4105, 571, 20, 205, 281, 3359, 809, 1192, 13516, 4584, 2829, 2371, 311, 3529, 14835, 298, 5801, 461, 4584, 1046, 18041, 3529, 4530, 39151, 39782, 1634, 311, 5914, 8720, 3872, 16829, 4103, 35348, 20, 205, 18070, 461, 6216, 5354, 5054, 1706, 6158, 10369, 19121, 5428, 298, 924, 1232, 918, 6151, 16141, 15829, 6531, 4126, 2491, 6524, 5143, 311, 15031, 332, 25338, 9204, 8642, 1695, 830, 6570, 38157, 387, 2301, 18, 2330, 2371, 311, 2687, 3139, 1331, 3406, 2788, 4126, 1762, 798, 462, 2188, 3227, 9084, 2788, 925, 1762, 298, 855, 2967, 20, 7825, 2694, 20, 39600, 317, 384, 1129, 5015, 303, 428, 6334, 1019, 4126, 16559, 1192, 485, 1946, 461, 4044, 339, 5354, 1072, 9150, 798, 4105, 1145, 4044, 1145, 597, 4433, 2543, 18, 424, 2112, 309, 1907, 6015, 298, 5801, 4584, 4126, 34869, 14133, 4126, 384, 17527, 303, 26818, 19535, 1212, 1576, 18, 424, 13291, 424, 13718, 18, 424, 4353, 13665, 523, 418, 20, 205, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 364, 676, 2070, 30873, 2035, 3406, 354, 7125, 332, 2035, 6356, 8271, 2830, 28350, 1960, 8685, 319, 28350, 1960, 10812, 280, 28350, 1960, 2575, 777, 2035, 469, 676, 428, 946, 21798, 5775, 798, 20725, 347, 2158, 329, 2035, 1515, 7773, 498, 442, 3261, 1289, 8271, 32882, 384, 1180, 30873, 2418, 295, 23219, 571, 4098, 461, 28876, 21798, 541, 48680, 309, 1768, 30873, 772, 17030, 384, 1180, 30873, 494, 1996, 6667, 8271, 32882, 384, 1180, 30873, 15, 2035, 205, 15349, 2736, 205, 2169, 1960, 2180, 1674, 578, 1524, 379, 1991, 505, 1539, 7898, 424, 1106, 14595, 424, 2575, 777, 379, 28474, 1701, 1081, 2900, 9675, 994, 657, 1521, 379, 924, 322, 8453, 2411, 339, 12735, 11131, 47275, 359, 2469, 284, 13487, 596, 40946, 4788, 2215, 494, 2890, 29, 9714, 15, 205, 9626, 841, 205, 1715, 301, 38472, 1691, 309, 48948, 43671, 27838, 347, 36132, 33102, 390, 21798, 379, 424, 44094, 1199, 772, 1359, 28478, 311, 43671, 379, 1280, 9028, 4149, 34481, 387, 6359, 2270, 637, 848, 2119, 596, 205, 14796, 2335, 13240, 5963, 637, 2229, 351, 346, 357, 346, 274, 463, 841, 330, 346, 317, 346, 383, 346, 286, 413, 369, 413, 2205, 599, 282, 420, 429, 346, 156, 233, 599, 388, 2205, 599, 282, 413, 300, 346, 156, 233, 346, 156, 239, 463, 282, 420, 287, 346, 286, 346, 156, 233, 599, 263, 346, 322, 420, 320, 346, 288, 4034, 463, 274, 346, 286, 346, 156, 233, 346, 283, 420, 267, 463, 337, 463, 296, 346, 267, 346, 350, 346, 275, 420, 480, 346, 286, 346, 156, 233, 346, 227, 156, 239, 346, 280, 346, 156, 239, 463, 282, 420, 379, 287, 346, 274, 346, 266, 346, 318, 599, 290, 346, 287, 413, 318, 413, 1521, 346, 282, 413, 227, 156, 233, 420, 1629, 599, 156, 233, 346, 624, 420, 379, 566, 413, 263, 599, 4034, 463, 274, 346, 286, 346, 156, 233, 346, 566, 413, 263, 599, 227, 156, 239, 413, 310, 346, 156, 233, 1218, 156, 233, 413, 294, 420, 156, 239, 346, 280, 420, 282, 420, 381, 346, 277, 346, 272, 346, 282, 413, 379, 338, 346, 274, 599, 388, 322, 420, 320, 346, 288, 980, 346, 267, 599, 295, 346, 267, 599, 282, 413, 351, 346, 280, 463, 295, 346, 272, 463, 266, 346, 388, 294, 346, 308, 346, 272, 346, 274, 346, 282, 413, 295, 346, 281, 346, 472, 346, 300, 346, 156, 233, 346, 156, 239, 463, 282, 420, 337, 463, 263, 346, 349, 346, 566, 346, 156, 233, 346, 797, 346, 283, 346, 272, 599, 303, 921, 379, 566, 413, 263, 599, 480, 346, 286, 346, 156, 233, 346, 344, 346, 360, 420, 272, 346, 366, 346, 286, 346, 280, 420, 282, 7925, 10596, 10482, 494, 6875, 25, 15, 26505, 494, 25, 4602, 1195, 205, 7201, 4491, 339, 762, 2270, 637, 848, 2119, 8271, 4203, 3373, 1515, 301, 38472, 3442, 596, 205, 1452, 2335, 14337, 1932, 5963, 637, 2229, 3779, 841, 295, 346, 280, 463, 267, 346, 156, 239, 463, 274, 413, 227, 156, 233, 420, 272, 346, 286, 413, 369, 420, 2205, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 960, 9747, 8870, 17223, 12977, 7241, 920, 34698, 311, 1168, 311, 3915, 428, 3312, 390, 1671, 3008, 20, 4598, 12517, 663, 5118, 4957, 7241, 298, 424, 3354, 1214, 13192, 298, 424, 1393, 469, 746, 1094, 17672, 309, 1979, 298, 1114, 2579, 802, 384, 2874, 21023, 7241, 10170, 311, 1168, 311, 19816, 20, 205, 2393, 4973, 1051, 298, 798, 10711, 1614, 339, 12517, 387, 1282, 2452, 2903, 3680, 424, 311, 31842, 50183, 3606, 298, 2338, 1458, 2582, 339, 3337, 10544, 5573, 14688, 7241, 298, 33115, 298, 19806, 800, 11286, 298, 23419, 8580, 20, 205, 46034, 4598, 12517, 10890, 5578, 10325, 3304, 1131, 29743, 27969, 298, 25693, 39845, 16899, 298, 33374, 14488, 45303, 298, 33374, 3074, 1267, 617, 5585, 309, 366, 12680, 15163, 20, 1684, 462, 803, 2443, 469, 4536, 309, 3951, 298, 866, 4598, 12517, 663, 5118, 802, 398, 13192, 15346, 298, 33374, 398, 40867, 298, 20461, 309, 679, 932, 1751, 298, 25693, 4613, 41493, 7078, 20, 842, 5412, 1600, 428, 2896, 37364, 43949, 12517, 6439, 4535, 4589, 384, 14698, 20, 205, 960, 9747, 9845, 9858, 311, 5685, 2337, 11767, 772, 2076, 3303, 14307, 20, 4857, 462, 803, 25152, 4361, 282, 311, 1751, 298, 3069, 5150, 7023, 387, 1282, 7268, 424, 663, 6541, 2376, 309, 3166, 298, 1072, 16899, 1072, 1243, 12422, 20, 9829, 5403, 2336, 1664, 2376, 6513, 10750, 298, 866, 3641, 12517, 309, 7241, 33115, 1458, 702, 29624, 1198, 5118, 1168, 311, 19816, 20, 205, 10521, 37686, 1600, 19451, 31596, 1315, 4598, 12517, 676, 30548, 4165, 1751, 298, 21104, 40197, 9039, 298, 33374, 18874, 298, 43074, 1622, 653, 298, 16584, 35129, 305, 1750, 3589, 8039, 20, 311, 3385, 387, 1282, 4874, 1751, 2935, 1694, 12517, 805, 298, 4812, 347, 803, 571, 746, 2452, 753, 4553, 1183, 772, 461, 2642, 4598, 5147, 424, 30548, 1312, 309, 3641, 12517, 309, 2126, 20, 205, 1715, 609, 9657, 285, 17535, 39144, 311, 565, 3328, 5147, 309, 3641, 12517, 309, 1751, 298, 8665, 339, 4389, 5657, 14530, 2903, 15322, 2097, 9747, 424, 19184, 12517, 3581, 7194, 428, 803, 12490, 387, 1282, 6823, 3382, 9286, 309, 32269, 4361, 15244, 339, 8450, 311, 2278, 24087, 4598, 12517, 428, 4536, 15671, 20, 205, 569, 28996, 19184, 500, 15089, 12517, 298, 595, 1614, 339, 12517, 14530, 17736, 20, 31552, 12517, 298, 883, 28888, 12517, 298, 4274, 50250, 12517, 676, 5262, 2070, 2366, 13374, 288, 309, 19184, 500, 15089, 12517, 20, 842, 3967, 4081, 298, 866, 43146, 12517, 676, 3347, 22578, 33705, 5348, 3414, 339, 18932, 9176, 311, 6124, 12517, 1833, 595, 3922, 25152, 4361, 282, 387, 1282, 1751, 20, 205, 960, 9747, 7524, 581, 803, 1614, 848, 311, 1582, 36844, 8005, 5779, 12928, 309, 1168, 311, 2212, 785, 20, 1437, 2980, 311, 12517, 7586, 9158, 311, 43146, 12517, 5021, 3580, 802, 339, 6956, 4711, 311, 8153, 1600, 878, 1968, 49429, 298, 424, 17009, 35077, 20, 920, 7973, 32269, 4361, 22254, 2714, 311, 42180, 5881, 20, 1168, 311, 19184, 12517, 2125, 3902, 12948, 1259, 311, 12517, 7524, 581, 1315, 354, 949, 7619, 5420, 23203, 282, 9143, 17005, 339, 3444, 2126, 20, 2568, 339, 1153, 3444, 1106, 829, 298, 3069, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 205, 205, 9, 23, 5429, 205, 536, 8633, 387, 6347, 17398, 205, 12283, 17398, 567, 18550, 6649, 908, 2370, 14802, 28912, 287, 567, 6347, 23558, 388, 583, 3926, 10632, 763, 914, 1333, 857, 27159, 596, 266, 567, 18550, 4386, 561, 20406, 2812, 1065, 2305, 4023, 34797, 20606, 287, 567, 311, 20406, 3865, 395, 15149, 561, 20406, 494, 808, 282, 908, 571, 29373, 287, 29198, 287, 3404, 17079, 1271, 526, 15, 297, 10893, 2370, 14802, 9755, 11669, 776, 42254, 19091, 494, 285, 1558, 21501, 287, 20622, 2341, 358, 1423, 930, 418, 15, 1438, 42254, 3408, 1438, 15045, 311, 2022, 3408, 287, 26571, 494, 816, 526, 15, 205, 12283, 17398, 14, 5523, 5613, 19, 6048, 4264, 15, 266, 5095, 3656, 6347, 370, 13326, 287, 567, 311, 20406, 14812, 841, 4064, 422, 6347, 17398, 5617, 37320, 7069, 2023, 611, 311, 15714, 10024, 555, 382, 5249, 2330, 39574, 4663, 24965, 300, 544, 873, 10832, 1467, 4293, 20316, 551, 25825, 493, 6596, 583, 22353, 7206, 1081, 48574, 16973, 282, 12688, 1769, 772, 32574, 3312, 708, 25531, 16869, 18094, 596, 205, 1039, 6617, 6347, 17398, 205, 34109, 320, 590, 695, 3124, 5295, 523, 1524, 12117, 5460, 14009, 11871, 298, 4454, 30695, 10207, 5460, 523, 565, 28561, 908, 5706, 332, 5471, 3767, 723, 640, 3323, 10706, 884, 5848, 2775, 1373, 298, 16872, 38884, 334, 3323, 2888, 15022, 2111, 339, 2704, 27033, 16422, 39698, 908, 631, 1826, 11387, 39150, 792, 523, 205, 4987, 2666, 462, 43612, 497, 387, 2948, 361, 380, 23518, 530, 1181, 747, 297, 17510, 1098, 28561, 1547, 25445, 311, 520, 22499, 5721, 16012, 1565, 3871, 28646, 498, 378, 3204, 8, 6987, 275, 5878, 6507, 12534, 597, 571, 18673, 359, 1042, 879, 17398, 523, 205, 2932, 2684, 1330, 1042, 879, 17398, 205, 10938, 334, 1331, 287, 15782, 12680, 287, 43169, 334, 18134, 287, 15893, 10565, 908, 611, 8633, 287, 15893, 342, 991, 8319, 844, 20, 513, 4173, 28517, 16273, 287, 4187, 24595, 414, 20, 10092, 334, 6598, 306, 1124, 30132, 287, 461, 15893, 1193, 875, 20, 266, 15893, 18718, 3342, 43436, 287, 37478, 4187, 10657, 1366, 287, 31093, 27269, 7309, 287, 19012, 387, 6425, 20, 1174, 796, 334, 15884, 287, 31937, 334, 25597, 287, 19012, 11127, 26805, 4135, 20, 1827, 43377, 1176, 1864, 2002, 15299, 3032, 338, 402, 334, 25730, 23772, 1331, 1041, 908, 20644, 380, 287, 461, 1174, 3439, 2342, 1747, 1102, 484, 2577, 11209, 497, 805, 1202, 4819, 30996, 21068, 48111, 4601, 461, 44777, 9655, 287, 1342, 15929, 287, 311, 789, 7600, 14990, 12089, 287, 502, 799, 2263, 14990, 323, 435, 451, 1422, 741, 20, 4222, 478, 878, 16653, 1423, 930, 494, 272, 3988, 524, 908, 4069, 25843, 15, 908, 1667, 311, 3720, 1212, 2508, 1011, 287, 11110, 2899, 49261, 20, 5205, 5407, 311, 1373, 7359, 311, 5844, 311, 3032, 380, 287, 311, 16192, 3445, 20, 205, 327, 1481, 345, 4474, 5722, 2534, 13396, 11114, 1033, 12719, 497, 4983, 287, 461, 13396, 11114, 18072, 4939, 311, 9051, 2666, 287, 24529, 3645, 304, 9451, 498, 266, 3817, 1691, 26292, 8, 3032, 19373, 12864, 311, 20406, 1813, 13306, 2234, 1270, 37095, 3096, 1273, 722, 7112, 908, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 31846, 4557, 339, 6861, 16886, 326, 205, 5187, 1259, 2190, 24593, 15951, 6347, 3360, 424, 295, 35701, 14827, 12982, 424, 6191, 5202, 309, 785, 4016, 14581, 11398, 717, 462, 13858, 311, 746, 298, 311, 615, 2659, 4976, 1324, 1002, 298, 1183, 977, 2055, 1804, 498, 39887, 5718, 326, 8, 541, 9867, 7102, 1468, 20781, 498, 38947, 326, 41844, 895, 205, 632, 2626, 498, 39887, 8, 311, 615, 13203, 1836, 3386, 11014, 22618, 384, 1168, 311, 3806, 1949, 8962, 878, 6347, 498, 474, 2951, 8, 302, 975, 2012, 5738, 5487, 4825, 296, 4867, 1164, 2716, 734, 28588, 13354, 728, 744, 465, 7933, 10945, 272, 378, 517, 15995, 10470, 526, 943, 24325, 9666, 20, 205, 5614, 25043, 9838, 1836, 2264, 272, 4416, 498, 39887, 8, 29252, 20190, 11398, 40025, 6934, 3070, 1279, 3386, 1197, 498, 5718, 326, 41844, 1348, 842, 924, 2179, 1875, 541, 4138, 6830, 5099, 311, 14760, 14942, 309, 1197, 22097, 498, 39887, 895, 205, 21692, 514, 7102, 498, 38947, 326, 41844, 8, 384, 1804, 22097, 498, 39887, 8, 922, 9838, 3469, 309, 1804, 498, 39887, 5718, 326, 8, 309, 15551, 1964, 1027, 4047, 384, 6567, 2757, 298, 717, 1279, 1259, 5749, 384, 3112, 541, 15093, 1860, 937, 424, 15692, 3842, 424, 6514, 8429, 811, 20190, 11398, 298, 855, 11107, 1172, 339, 3806, 3342, 7919, 298, 1273, 6784, 32874, 3299, 14629, 1921, 15244, 2192, 309, 2935, 11156, 428, 14195, 384, 1591, 469, 20, 205, 266, 22710, 784, 384, 13203, 1836, 1279, 3627, 339, 3837, 498, 38947, 326, 8, 309, 1197, 22097, 498, 39887, 1348, 1684, 462, 2188, 493, 2750, 16147, 359, 866, 2021, 3812, 5882, 4827, 20781, 498, 45, 7996, 3647, 2102, 9223, 14962, 19676, 1661, 8, 40501, 5931, 6861, 23707, 384, 462, 3434, 6326, 5512, 3627, 339, 3837, 498, 38947, 326, 8, 309, 498, 633, 4416, 6861, 895, 205, 8, 39887, 5718, 326, 16808, 7834, 1591, 17928, 1718, 205, 16486, 3272, 498, 26067, 301, 1263, 8305, 8, 4678, 347, 4791, 5444, 4452, 1197, 498, 39887, 16886, 326, 8, 6245, 1591, 4990, 6265, 10217, 20, 205, 14715, 5567, 347, 12191, 2092, 3618, 298, 920, 6512, 309, 5727, 11093, 3275, 3262, 298, 1905, 373, 282, 384, 3904, 430, 358, 6265, 10217, 4809, 16973, 15094, 359, 23371, 17928, 6198, 311, 1197, 6861, 379, 34572, 1685, 551, 2930, 16973, 802, 359, 12274, 387, 5012, 9848, 298, 1474, 4452, 4231, 2264, 2061, 1762, 309, 21122, 20, 205, 3188, 2268, 2092, 3618, 498, 6132, 1969, 15838, 8006, 6535, 462, 7619, 298, 4566, 6400, 288, 359, 34650, 498, 39, 26, 8, 339, 21122, 14259, 359, 311, 1373, 1310, 2399, 5035, 20, 205, 48935, 4756, 21122, 12285, 30438, 17516, 497, 49936, 298, 3786, 11988, 5658, 323, 671, 373, 263, 311, 10668, 9848, 1342, 881, 20, 205, 15864, 2092, 3618, 339, 21122, 29417, 878, 498, 41081, 298, 461, 5098, 497, 4118, 505, 9956, 298, 6792, 14816, 9848, 13897, 1348, 717, 5709, 2872, 7641, 1008, 6290, 31943, 387, 21428, 2930, 20, 205, 1377, 898, 2872, 344, 5814, 334, 3118, 632, 762, 19437, 309, 4453, 339, 3024, 11014, 14680, 16973, 274, 311, 1964, 20, 205, 31427, 4557, 205, 4794, 3547, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 25512, 309, 2539, 3811, 1958, 205, 25512, 309, 2539, 3811, 1958, 565, 1979, 2691, 1958, 311, 838, 9153, 7885, 3215, 12785, 14423, 309, 2539, 3811, 1072, 2638, 1756, 298, 1280, 3799, 17284, 359, 17128, 359, 712, 30618, 2054, 5852, 2133, 2476, 16863, 298, 10444, 2212, 7885, 3215, 12785, 2055, 1979, 309, 2047, 1703, 14468, 3163, 311, 13063, 12567, 7431, 20, 12076, 1979, 309, 2539, 3811, 1958, 309, 611, 19596, 8431, 1750, 3336, 7266, 23667, 20, 1114, 7787, 22351, 2549, 597, 700, 22605, 263, 1192, 9040, 2055, 4072, 37058, 597, 11104, 2539, 1958, 311, 23649, 298, 12534, 611, 2539, 3811, 1958, 311, 22583, 20, 842, 1337, 6790, 6479, 6134, 298, 30837, 3179, 1958, 309, 2399, 1069, 1312, 311, 5685, 9622, 20, 2287, 1259, 2823, 35489, 18, 2365, 4636, 25886, 512, 2823, 2713, 11, 311, 6870, 2539, 3811, 20, 717, 347, 1979, 5298, 643, 11, 311, 12228, 388, 2047, 2296, 287, 28, 11, 311, 9981, 1756, 20, 1915, 2227, 311, 347, 5277, 2296, 12032, 339, 1310, 4350, 1979, 309, 7569, 765, 866, 2714, 359, 311, 2549, 663, 10171, 267, 309, 7726, 16125, 298, 2561, 7336, 452, 309, 7569, 5379, 20, 205, 33753, 1979, 309, 33494, 9458, 1428, 2539, 3811, 1958, 1750, 2107, 1949, 2368, 494, 2485, 9330, 19, 30655, 263, 1195, 1937, 2549, 309, 2539, 5177, 298, 1280, 28908, 7531, 32934, 35991, 351, 413, 276, 420, 156, 233, 463, 267, 309, 2822, 17578, 32203, 20, 843, 614, 1979, 5897, 309, 2047, 39578, 23559, 2047, 298, 1114, 28645, 290, 1767, 274, 29070, 3893, 359, 39578, 6077, 1979, 20, 26347, 2539, 4405, 13701, 20946, 961, 2055, 2539, 4405, 20635, 20, 1072, 700, 16890, 263, 298, 295, 413, 690, 1202, 1979, 6737, 5608, 3736, 558, 2231, 18349, 309, 611, 311, 2539, 3811, 17595, 5853, 6451, 304, 20, 30747, 1979, 781, 2298, 384, 2282, 40655, 4296, 4369, 922, 12579, 4072, 20, 9257, 9751, 16863, 309, 7569, 4009, 298, 6117, 24335, 2930, 21578, 41583, 10473, 3096, 20, 347, 3504, 22355, 13582, 387, 2055, 1979, 309, 2047, 7385, 28955, 1490, 2296, 1046, 2822, 2691, 676, 11749, 47463, 883, 2752, 1042, 2521, 380, 24506, 339, 33352, 1046, 10171, 761, 309, 2047, 37127, 2622, 8703, 2125, 309, 1490, 2296, 298, 712, 3231, 16863, 309, 2107, 1949, 2368, 1720, 47266, 274, 838, 311, 494, 26128, 15, 410, 4636, 4254, 309, 2539, 3811, 25504, 621, 19495, 9809, 753, 2396, 309, 4813, 20736, 298, 1072, 48217, 9178, 7442, 339, 931, 309, 2047, 1289, 1019, 2494, 28799, 424, 1289, 2047, 309, 1393, 27186, 298, 21773, 19262, 387, 12582, 309, 1393, 1365, 6631, 18206, 798, 23291, 2600, 494, 474, 327, 685, 298, 13563, 1195, 1072, 700, 31408, 609, 24961, 2822, 37058, 6816, 1183, 309, 4948, 933, 2296, 50160, 712, 609, 931, 8844, 2822, 32203, 2577, 4138, 1296, 5806, 13057, 339, 1310, 29710, 561, 4072, 41029, 517, 2897, 15113, 309, 4078, 29884, 20, 1937, 2843, 1836, 311, 6204, 5964, 1384, 1979, 309, 2539, 1958, 505, 309, 3422, 3514, 712, 609, 2054, 838, 311, 494, 17756, 788, 15, 494, 61, 44503, 19557, 3636, 52, 16595, 51, 40, 20998, 15, 1537, 1115, 4557, 309, 2539, 1958, 712, 3132, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 332, 2294, 339, 22882, 2095, 700, 5828, 700, 31094, 39347, 9778, 423, 3890, 339, 1243, 25827, 1943, 8193, 7174, 596, 287, 390, 2602, 7073, 15909, 611, 5520, 384, 6086, 1153, 48321, 35080, 11307, 20406, 14342, 6949, 428, 14133, 10768, 11726, 5245, 2611, 493, 704, 339, 44873, 8750, 23970, 470, 50025, 20, 205, 29191, 274, 10077, 2058, 3806, 3344, 4539, 1197, 678, 78, 2275, 7312, 73, 6406, 2493, 287, 5770, 10366, 27957, 5770, 13844, 639, 493, 704, 1040, 9971, 7073, 978, 776, 971, 2069, 1153, 311, 4431, 6154, 1333, 8312, 545, 700, 5828, 505, 13304, 14534, 600, 309, 6347, 16653, 567, 46208, 1198, 4299, 384, 6319, 309, 7014, 8385, 8193, 20, 205, 266, 8719, 19212, 1390, 347, 22888, 2611, 14534, 600, 615, 7073, 1264, 29316, 32294, 2505, 339, 347, 971, 6829, 31525, 3187, 1192, 6225, 13304, 13469, 852, 6347, 29373, 309, 6649, 311, 4377, 712, 42913, 6069, 2505, 2233, 263, 41834, 339, 1069, 311, 6478, 2505, 20, 205, 3532, 1864, 8101, 13304, 673, 3866, 298, 2372, 748, 17645, 615, 700, 7073, 842, 5689, 1703, 19212, 1367, 347, 673, 3866, 567, 17721, 22574, 339, 6069, 1943, 11307, 3046, 31211, 3638, 6696, 2303, 3948, 7073, 1192, 6225, 673, 3866, 384, 6347, 22332, 20521, 384, 4094, 8296, 13950, 9526, 1622, 4575, 1107, 942, 8193, 20, 205, 10010, 19212, 1390, 700, 7073, 802, 2829, 700, 7588, 17193, 297, 4646, 13304, 1870, 42059, 309, 6347, 3011, 47198, 2447, 3126, 13305, 339, 8274, 46974, 517, 1098, 12818, 20, 205, 1469, 33743, 7778, 1979, 523, 712, 16732, 615, 704, 1069, 311, 7001, 13970, 428, 2896, 15790, 1281, 1114, 806, 272, 19212, 1390, 493, 4223, 10928, 358, 13304, 13248, 526, 384, 6347, 17398, 6696, 1425, 4377, 7073, 20, 205, 27492, 20406, 5427, 7073, 32, 205, 12283, 3011, 32, 205, 538, 6282, 2765, 6347, 3011, 615, 700, 7073, 13473, 19178, 9122, 298, 9588, 311, 615, 493, 704, 339, 6959, 4873, 33630, 966, 309, 6893, 18, 717, 28220, 311, 753, 36414, 41334, 428, 461, 5298, 2622, 309, 6893, 596, 5623, 838, 13871, 615, 493, 704, 1198, 3230, 17330, 838, 17861, 20, 205, 442, 7042, 5040, 298, 6002, 6069, 339, 30703, 309, 2602, 704, 880, 309, 4264, 663, 2896, 15790, 1281, 309, 575, 960, 8750, 2576, 1569, 8720, 32220, 285, 19212, 347, 9588, 339, 2439, 21738, 1264, 3312, 24001, 285, 7047, 20, 205, 11435, 690, 6893, 15090, 446, 23617, 1230, 311, 8557, 428, 4536, 1264, 37556, 925, 309, 704, 1473, 298, 5204, 347, 30829, 390, 11184, 3799, 838, 11020, 39836, 26152, 20, 205, 3532, 1864, 47687, 2316, 298, 3638, 2981, 32220, 285, 19212, 15565, 1459, 9932, 27412, 14448, 9599, 4246, 1687, 384, 6550, 28343, 20, 205, 12283, 16653, 32, 205, 2006, 7073, 461, 595, 347, 11686, 848, 2829, 3049, 1438, 20877, 2502, 13223, 16653, 309, 7720, 1776, 282, 1493, 461, 11937, 21464, 424, 38723, 309, 14923, 4448, 825, 1135, 4990, 34269, 575, 960, 8750, 1530, 2021, 347, 21560, 2065, 311, 8795, 15437, 4181, 282, 20, 205, 501, 5848, 1952, 11095, 4394, 7173, 615, 7720, 14034, 1493, 1183, 2236, 8293, 11220, 38591, 611, 311, 673, 3866, 530, 9857, 298, 5539, 347, 2911, 507, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 16952, 5156, 9455, 387, 37314, 12722, 6161, 841, 205, 85, 347, 2538, 541, 41713, 311, 12722, 6161, 567, 311, 37314, 6957, 8008, 424, 2415, 4079, 298, 5120, 5231, 32283, 842, 924, 3069, 825, 838, 39879, 359, 645, 26258, 40915, 6340, 309, 4093, 298, 717, 825, 838, 31502, 288, 359, 2117, 277, 27867, 571, 339, 3221, 2956, 1437, 6271, 15213, 3227, 35831, 359, 311, 18850, 5345, 26830, 303, 428, 30616, 2611, 1919, 1325, 44076, 1315, 1310, 12828, 339, 2661, 10479, 6340, 20, 29681, 27867, 493, 2761, 309, 611, 311, 4093, 43964, 20, 205, 85, 4098, 1515, 461, 9427, 339, 4407, 28581, 9455, 387, 37314, 12722, 6161, 298, 6024, 354, 32553, 4673, 22983, 2832, 2026, 996, 4165, 26830, 303, 8689, 298, 10978, 1849, 5345, 1653, 1487, 10562, 282, 520, 12667, 311, 5011, 28413, 1552, 10948, 1653, 3493, 359, 387, 21610, 380, 387, 40474, 641, 690, 21746, 298, 15535, 1827, 9510, 339, 7688, 1490, 32283, 39782, 334, 551, 8379, 23171, 424, 7675, 291, 8166, 424, 11760, 3590, 424, 4016, 3998, 6631, 17118, 836, 1653, 1248, 15384, 339, 571, 311, 10358, 44506, 26949, 339, 611, 311, 2538, 800, 35232, 43964, 36837, 7283, 20, 205, 85, 347, 11607, 27597, 1187, 686, 12722, 6161, 37721, 6210, 925, 7388, 5064, 486, 30609, 19, 339, 2227, 311, 27843, 9741, 520, 6569, 1703, 3973, 520, 8520, 298, 1121, 347, 918, 7682, 16177, 1095, 7136, 1169, 450, 43208, 446, 620, 8828, 3415, 47581, 49014, 18471, 14890, 298, 428, 4997, 9362, 23180, 424, 7437, 1428, 4134, 37314, 12722, 35383, 19, 842, 924, 2749, 4997, 3046, 4251, 309, 512, 1804, 14509, 387, 37314, 12722, 6161, 31329, 380, 20, 205, 85, 347, 30606, 567, 838, 2251, 39879, 359, 869, 4899, 424, 11607, 27597, 428, 11113, 6059, 544, 12722, 6161, 311, 712, 28391, 3370, 3827, 5114, 41706, 379, 800, 757, 3527, 6894, 9716, 379, 287, 7598, 3527, 12616, 25688, 379, 35603, 2051, 49768, 20, 13760, 866, 31645, 2334, 838, 4457, 2755, 282, 1326, 359, 309, 5156, 9455, 387, 37314, 11945, 19, 12730, 309, 1300, 8817, 4210, 12953, 1693, 615, 5549, 26737, 11396, 1428, 4732, 20, 205, 85, 347, 30606, 567, 838, 8200, 5040, 4897, 339, 13790, 2690, 15112, 4210, 16654, 26737, 11396, 298, 546, 914, 424, 4988, 541, 595, 23889, 282, 311, 615, 520, 4210, 424, 1102, 5549, 298, 1315, 6019, 4298, 13234, 30786, 541, 2579, 282, 311, 4973, 298, 15916, 2718, 8472, 1547, 1523, 14593, 298, 23126, 1699, 40157, 50212, 865, 8500, 298, 428, 663, 35025, 1008, 37314, 12722, 6161, 309, 2298, 384, 3641, 5125, 4077, 311, 4973, 1051, 298, 1198, 7354, 13790, 2690, 22213, 561, 5125, 9513, 25115, 4887, 20, 205, 85, 4098, 1515, 354, 5628, 387, 3433, 27061, 309, 3824, 561, 12722, 6161, 1330, 424, 14890, 298, 38017, 19791, 43330, 7058, 44076, 20989, 1019, 298, 5915, 663, 5947, 397, 2755, 282, 1326, 359, 23063, 359, 309, 18632, 4673, 4042, 16179, 4210, 12953, 1187, 686, 11945, 20, 712, 5391, 4210, 16654, 11396, 47565, 17271, 2159, 12722, 6161, 38017, 20989, 1019, 10371, 359, 424, 2236, 20, 205, 85, 347, 6768, 502, 25979, 424, 748, 502, 36698, 1187, 686, 12722, 6161, 7360, 4525, 12952, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 205, 205, 4092, 274, 1462, 3661, 4245, 708, 3833, 1919, 390, 872, 26432, 1220, 9273, 954, 26446, 303, 9045, 1040, 10996, 11852, 10339, 43529, 6708, 9091, 1324, 1002, 1029, 9045, 20, 205, 3319, 600, 1259, 1300, 31229, 6685, 3381, 6060, 6524, 1702, 5279, 17123, 629, 952, 8278, 16769, 4136, 9987, 5322, 6453, 29377, 359, 878, 36718, 4942, 17941, 920, 469, 10021, 294, 18457, 1835, 4136, 523, 9215, 1777, 2719, 13593, 339, 1307, 2101, 2602, 311, 2612, 3094, 20, 205, 30552, 419, 10996, 17931, 2186, 18246, 388, 31265, 947, 5549, 517, 2594, 388, 6388, 18646, 705, 316, 5528, 506, 388, 7711, 384, 31568, 390, 30573, 25951, 388, 16371, 3661, 908, 17571, 43244, 7701, 14197, 733, 1671, 8278, 763, 5122, 384, 7598, 4218, 18959, 1091, 37637, 6420, 16852, 9897, 6166, 10111, 390, 8278, 4833, 311, 4275, 384, 3983, 23414, 2179, 43615, 316, 4949, 20805, 1768, 517, 2594, 700, 311, 8720, 5279, 2557, 2482, 305, 10996, 339, 347, 872, 4949, 8947, 20163, 1554, 908, 9720, 3998, 7823, 11568, 43615, 316, 5354, 1857, 37927, 5507, 908, 9720, 3998, 41429, 4100, 47734, 6639, 22060, 10090, 25721, 15084, 18074, 6170, 1825, 1324, 523, 15783, 322, 11697, 8278, 4833, 878, 8278, 42649, 339, 8391, 21464, 41507, 609, 18073, 342, 4747, 13875, 1956, 4205, 11935, 8978, 9922, 906, 28480, 20, 205, 2696, 1596, 3661, 4245, 5652, 19652, 39191, 339, 12051, 11530, 26432, 1220, 9273, 954, 26446, 303, 9045, 1040, 19549, 5885, 1457, 746, 14797, 339, 1307, 2101, 6729, 359, 762, 461, 5347, 10585, 2476, 5347, 9058, 8278, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 290, 3820, 309, 2953, 7819, 6070, 1625, 339, 1694, 1659, 6856, 13932, 1979, 309, 23354, 2841, 5751, 838, 311, 30680, 10621, 311, 872, 9362, 1490, 298, 2012, 615, 9466, 13932, 6294, 44889, 782, 3056, 334, 298, 1165, 1768, 10621, 4666, 339, 5927, 7917, 39706, 309, 2953, 7819, 298, 842, 9687, 26560, 1921, 309, 3728, 523, 717, 609, 13932, 6294, 7786, 2232, 560, 5306, 4595, 38567, 298, 1165, 1768, 13674, 4666, 339, 2340, 4995, 304, 309, 3003, 298, 2680, 2682, 2846, 359, 7232, 12335, 275, 4202, 9968, 309, 2457, 7819, 523, 1956, 13932, 5001, 1857, 700, 3661, 4245, 12249, 4049, 33029, 5306, 528, 2571, 388, 342, 1452, 1248, 26025, 311, 16620, 309, 1907, 1634, 298, 1474, 884, 7053, 599, 465, 6259, 7786, 21474, 4595, 2177, 980, 685, 14222, 2974, 49725, 4358, 27605, 3398, 309, 2384, 13970, 26410, 765, 2197, 26025, 309, 1907, 6254, 309, 1428, 1659, 17814, 298, 1937, 25187, 5595, 505, 311, 11623, 7786, 12620, 12017, 577, 3736, 2880, 9388, 2716, 33884, 6850, 22637, 309, 2457, 7819, 523, 1937, 6294, 9701, 428, 609, 28673, 2749, 6294, 338, 48812, 23860, 27995, 8843, 32937, 765, 712, 383, 1098, 4037, 332, 384, 347, 22110, 23567, 338, 21003, 339, 11086, 49403, 40031, 8863, 406, 12630, 20, 205, 2063, 6856, 9887, 17385, 23497, 4164, 311, 1962, 26560, 1921, 309, 6196, 2071, 26410, 28224, 13970, 2071, 309, 4229, 7819, 46866, 2953, 7819, 523, 3105, 267, 1008, 339, 2463, 1499, 1979, 309, 1490, 298, 1264, 41683, 19133, 2841, 469, 505, 1121, 19075, 36175, 1248, 22915, 1979, 1360, 311, 16620, 309, 1757, 5685, 530, 2396, 33446, 13970, 428, 2569, 761, 1979, 8955, 464, 1547, 8062, 765, 712, 2064, 493, 781, 631, 2453, 469, 26025, 1979, 311, 16620, 10515, 12720, 13830, 8855, 1979, 1360, 309, 9420, 29180, 561, 9153, 785, 20, 205, 34141, 609, 1640, 6405, 38994, 387, 1768, 10621, 2687, 6257, 381, 3819, 4072, 12375, 1081, 1042, 1065, 342, 14975, 14476, 6822, 5619, 342, 14975, 1567, 298, 1165, 1768, 4636, 13674, 803, 10969, 332, 43127, 309, 1307, 1646, 3061, 2629, 17509, 298, 15878, 309, 2384, 6822, 10448, 1742, 15897, 549, 28789, 387, 8780, 3187, 2841, 298, 15878, 1307, 23776, 3887, 4663, 1742, 298, 35851, 7123, 4103, 28950, 6804, 5828, 22509, 2556, 7123, 2727, 10621, 5408, 298, 15431, 332, 4237, 6628, 448, 2466, 7423, 20279, 1806, 1138, 4345, 474, 311, 8489, 1493, 298, 1165, 1768, 4636, 13674, 25385, 493, 448, 2466, 34467, 359, 16906, 332, 309, 3000, 2710, 561, 27944, 517, 5335, 6628, 20, 205, 34141, 609, 1640, 11524, 387, 4103, 28950, 3144, 1019, 2210, 2629, 1165, 36686, 5712, 1101, 428, 300, 413, 16744, 660, 13402, 761, 44368, 309, 571, 6249, 29276, 541, 3547, 805, 309, 571, 6249, 746, 1810, 700, 3655, 20, 205, 2473, 571, 609, 1777, 6405, 38994, 387, 1634, 16696, 7001, 428, 8603, 339, 1646, 3661, 4245, 20, 205, 34141, 351, 413, 9146, 19717, 387, 2398, 8691, 10763, 30901, 19161, 302, 413, 291, 472, 420, 414, 309, 2457, 7819, 23532, 2137, 2083, 6057, 20, 924, 6405, 38994, 387, 1347, 16696, 7001, 13970, 19577, 19368, 267, 309, 5068, 3863, 20, 205, 1452, 14028, 609, 4352, 20748, 387, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 13517, 32, 205, 1011, 9014, 43594, 31744, 733, 637, 738, 13392, 10998, 387, 35911, 508, 830, 274, 12339, 387, 17690, 597, 5468, 6359, 2270, 637, 848, 2119, 5303, 1359, 761, 1005, 738, 2035, 14824, 8759, 1019, 2035, 6356, 17161, 332, 9462, 332, 733, 637, 2035, 11915, 1359, 608, 4510, 26773, 43594, 31744, 309, 520, 3951, 34843, 205, 13595, 32, 205, 15349, 2736, 205, 10514, 13321, 4380, 805, 8474, 379, 1063, 2207, 841, 494, 287, 346, 303, 599, 276, 346, 277, 413, 497, 283, 346, 288, 301, 346, 274, 463, 156, 233, 413, 266, 403, 599, 156, 239, 346, 468, 420, 319, 413, 300, 346, 156, 233, 346, 388, 283, 413, 156, 233, 463, 285, 420, 344, 413, 156, 233, 346, 156, 239, 463, 263, 346, 317, 346, 287, 346, 263, 346, 288, 330, 346, 281, 346, 272, 346, 344, 413, 156, 233, 346, 156, 239, 463, 263, 346, 317, 413, 287, 346, 156, 233, 346, 285, 420, 267, 599, 403, 599, 156, 239, 346, 468, 420, 319, 346, 330, 346, 281, 346, 272, 413, 497, 227, 156, 239, 413, 277, 346, 156, 233, 1218, 263, 413, 334, 346, 400, 599, 352, 346, 370, 1218, 291, 463, 272, 346, 287, 346, 263, 346, 288, 295, 413, 267, 463, 321, 420, 156, 233, 346, 300, 346, 156, 233, 346, 388, 337, 463, 263, 346, 156, 233, 346, 285, 346, 156, 239, 463, 267, 420, 294, 420, 276, 346, 350, 420, 156, 233, 346, 340, 346, 312, 413, 632, 346, 287, 346, 263, 346, 312, 413, 632, 346, 287, 346, 263, 346, 288, 227, 156, 239, 413, 277, 346, 156, 233, 1218, 263, 346, 317, 420, 283, 420, 267, 463, 295, 346, 291, 346, 280, 921, 338, 346, 274, 599, 388, 227, 156, 239, 346, 284, 413, 1911, 322, 420, 267, 599, 263, 346, 288, 354, 346, 291, 463, 267, 413, 297, 420, 274, 463, 267, 346, 275, 1356, 297, 346, 327, 301, 346, 285, 463, 281, 413, 272, 463, 1760, 16870, 21, 49626, 379, 1074, 42006, 663, 3298, 1248, 27360, 3210, 599, 578, 16190, 685, 309, 17490, 23511, 359, 379, 1114, 877, 2416, 311, 748, 347, 3298, 692, 14181, 1218, 272, 379, 1437, 663, 4815, 1081, 5038, 561, 4510, 379, 1624, 6401, 311, 1329, 29803, 841, 762, 13897, 802, 359, 798, 9028, 762, 41104, 379, 920, 541, 8053, 12339, 5963, 637, 6734, 9825, 2522, 805, 379, 3583, 351, 413, 1301, 462, 4148, 286, 599, 156, 233, 1579, 28513, 599, 267, 1579, 227, 156, 239, 413, 1617, 267, 309, 34960, 2996, 596, 205, 1911, 3540, 9370, 309, 3743, 31744, 1991, 15067, 40743, 282, 666, 462, 2239, 379, 1038, 493, 567, 7716, 387, 3302, 3080, 2270, 637, 848, 2119, 379, 1072, 22264, 3443, 311, 398, 18461, 4323, 277, 30407, 311, 49222, 9735, 414, 596, 205, 18734, 17665, 31744, 11925, 3053, 637, 43594, 22249, 841, 866, 637, 2207, 8653, 1467, 379, 1437, 1474, 11925, 3053, 13239, 746, 347, 3196, 15409, 9801, 379, 4857, 3920, 15409, 9801, 9698, 37233, 339, 7361, 22264, 311, 748, 508, 9159, 2418, 32106, 288, 359, 10644, 311, 1533, 282, 379, 855, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 402, 14483, 309, 3480, 4152, 1654, 8830, 535, 2083, 319, 276, 3712, 16639, 14380, 205, 402, 526, 449, 312, 18987, 1070, 2700, 27510, 2083, 319, 276, 3712, 18684, 11868, 7128, 309, 22951, 9197, 13113, 14840, 22101, 387, 9168, 25024, 5086, 937, 561, 6813, 22144, 35204, 2042, 6652, 26974, 1861, 3967, 20, 920, 227, 156, 239, 413, 305, 420, 272, 373, 339, 347, 227, 156, 239, 413, 267, 463, 367, 346, 272, 2072, 5362, 1068, 2182, 4465, 8047, 298, 8383, 347, 4152, 462, 679, 274, 49142, 855, 12994, 27230, 4321, 1021, 4715, 1691, 9369, 4855, 567, 469, 11017, 27230, 20, 205, 266, 413, 156, 233, 420, 280, 346, 27510, 2083, 319, 276, 3712, 309, 2827, 6482, 419, 3280, 1345, 319, 526, 626, 18989, 700, 1215, 10539, 20, 29505, 27121, 13915, 309, 2602, 3336, 7266, 311, 2741, 384, 19654, 36720, 359, 311, 35664, 541, 505, 6334, 558, 6757, 309, 2741, 9032, 3336, 8240, 2305, 20, 205, 49184, 599, 263, 43463, 339, 41124, 920, 309, 7746, 311, 8973, 298, 1072, 10892, 3247, 346, 281, 6070, 1625, 1494, 5508, 309, 25001, 3998, 20, 15852, 1440, 14564, 700, 32595, 311, 19654, 384, 2310, 298, 48689, 1493, 311, 17435, 4028, 16203, 884, 309, 1575, 7517, 40175, 37015, 298, 712, 3247, 281, 339, 41124, 20294, 5532, 20, 597, 571, 1067, 2201, 298, 3419, 27333, 21629, 478, 561, 35054, 785, 631, 10349, 281, 16285, 524, 339, 5467, 291, 18225, 10577, 364, 39992, 38303, 48464, 298, 3607, 603, 43724, 20, 205, 1147, 560, 8825, 19554, 1214, 6156, 205, 808, 28148, 1461, 9615, 5483, 370, 401, 550, 715, 700, 14073, 3419, 6508, 756, 2995, 4686, 370, 401, 281, 3420, 1949, 298, 6611, 5775, 25643, 359, 1461, 9615, 1870, 37382, 5730, 20, 700, 26455, 6189, 6070, 1625, 13308, 26482, 309, 9951, 297, 27322, 346, 272, 298, 541, 227, 156, 239, 413, 284, 346, 328, 6392, 359, 309, 1575, 43856, 1150, 5933, 298, 6611, 700, 20132, 3363, 704, 1461, 9615, 44430, 12703, 3299, 20, 205, 31847, 384, 571, 609, 22114, 1159, 4562, 21, 6304, 1316, 5828, 309, 7232, 3363, 24689, 46558, 44430, 5696, 1638, 309, 35567, 35396, 298, 1141, 3132, 311, 2564, 1499, 39883, 309, 785, 20, 384, 1556, 20294, 13425, 48268, 1352, 7756, 897, 27322, 346, 272, 517, 2176, 298, 9239, 2083, 319, 276, 3712, 2233, 14682, 9197, 15025, 802, 1108, 5303, 17347, 1218, 263, 309, 3904, 44430, 12703, 2687, 37800, 12321, 321, 897, 24597, 2647, 355, 29678, 826, 892, 1927, 478, 6201, 27438, 1708, 3364, 567, 4400, 1053, 298, 4715, 2262, 39883, 7366, 428, 19064, 373, 19205, 10598, 312, 2296, 32562, 24090, 346, 272, 298, 541, 11988, 387, 2137, 32614, 337, 35583, 9503, 309, 5595, 311, 1782, 4580, 3966, 298, 802, 1108, 205, 12894, 1573, 5099, 20396, 298, 3069, 36262, 373, 156, 233, 14323, 311, 5043, 2145, 9615, 384, 14332, 281, 1335, 41552, 298, 712, 663, 599, 263, 3893, 359, 3913, 22163, 309, 3904, 44430, 5696, 1638, 19, 525, 1178, 266, 298, 4539, 1102, 44693, 428, 14999, 7618, 4630, 38750, 37397, 723, 14682, 1008, 390, 24942, 9030, 5689, 7545, 359, 4149, 17459, 6924, 9270, 20, 205, 285, 557, 29421, 13984, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 272, 983, 23463, 205, 272, 983, 23463, 309, 20370, 494, 30463, 841, 28951, 4062, 2952, 3220, 12474, 2493, 1971, 25221, 15, 567, 9621, 1459, 23463, 43663, 8687, 42812, 1255, 733, 10141, 14770, 1005, 10141, 1699, 3342, 494, 24769, 383, 983, 156, 239, 1195, 2600, 2781, 412, 983, 19334, 1631, 311, 412, 983, 43655, 541, 24894, 387, 43409, 274, 26353, 309, 3673, 10141, 303, 16993, 733, 1691, 424, 3350, 516, 1180, 4725, 596, 16287, 384, 5182, 1691, 866, 10141, 4725, 513, 6165, 561, 1560, 643, 34578, 321, 287, 643, 20, 2365, 34578, 321, 494, 23, 34578, 321, 12129, 515, 750, 20274, 475, 309, 2368, 1195, 2148, 23, 67, 18, 1121, 347, 1102, 3338, 5391, 311, 1222, 384, 1222, 379, 717, 11829, 390, 1671, 3008, 596, 205, 770, 156, 239, 4922, 5744, 383, 983, 23463, 22641, 1046, 558, 1830, 311, 45854, 412, 983, 304, 379, 8063, 798, 505, 918, 8784, 390, 10141, 282, 412, 983, 156, 239, 23366, 596, 16312, 2771, 2126, 3922, 733, 1102, 45854, 379, 47511, 233, 44457, 282, 733, 10141, 303, 1051, 596, 29458, 2126, 1131, 303, 383, 983, 282, 8152, 311, 1394, 4537, 537, 21697, 878, 8310, 1692, 20, 512, 347, 2126, 412, 1068, 887, 3042, 383, 983, 282, 8152, 311, 561, 611, 10141, 303, 1051, 20, 205, 15101, 205, 33890, 26482, 800, 4019, 65, 20182, 67, 205, 8254, 412, 983, 19334, 311, 1347, 3720, 733, 39403, 12725, 16740, 712, 347, 2278, 12725, 16740, 10103, 311, 4922, 383, 1068, 878, 42309, 287, 4922, 443, 1022, 424, 5325, 14607, 1900, 888, 379, 24612, 2992, 382, 2990, 308, 6318, 20, 717, 347, 412, 983, 19334, 8870, 1864, 384, 16993, 596, 10609, 2230, 2734, 379, 2287, 309, 351, 6552, 11441, 2337, 498, 310, 4722, 26631, 8, 339, 32500, 36297, 4725, 596, 494, 9784, 28517, 5113, 304, 825, 339, 21589, 571, 26727, 979, 7937, 12966, 709, 303, 5420, 11885, 3560, 1807, 979, 7937, 12966, 709, 303, 13731, 1760, 596, 205, 272, 983, 42309, 65, 20182, 67, 205, 720, 42309, 32618, 4694, 309, 3747, 878, 26503, 424, 395, 1726, 464, 424, 1457, 1185, 41552, 379, 23669, 10141, 412, 983, 2115, 487, 339, 2576, 2663, 287, 22265, 39865, 24167, 596, 6526, 5325, 9291, 428, 8880, 412, 983, 1316, 2115, 487, 649, 4660, 37328, 5325, 42309, 596, 7884, 45854, 4218, 428, 595, 347, 15571, 339, 493, 42309, 4764, 10678, 311, 5916, 10470, 16622, 2651, 596, 24220, 45854, 339, 6144, 11165, 3314, 19330, 977, 42309, 3161, 16628, 32, 205, 5008, 32, 205, 19, 3726, 5325, 42309, 494, 22710, 487, 45930, 311, 14694, 4394, 15, 205, 19, 287, 11240, 12129, 515, 18, 509, 18, 899, 494, 3021, 2613, 15, 205, 4325, 1878, 6144, 16622, 309, 42309, 339, 24167, 2835, 287, 8294, 42309, 227, 146, 230, 1880, 515, 25844, 487, 379, 512, 347, 32, 205, 23111, 825, 13848, 36151, 339, 34438, 42309, 9779, 7103, 4132, 32, 205, 5008, 32, 205, 19, 2835, 24167, 1333, 205, 146, 230, 32, 8294, 42309, 1880, 2232, 1333, 205, 19, 5736, 12356, 6285, 2115, 487, 20, 205, 276, 4014, 24167, 1860, 8054, 5325, 42309, 41019, 339, 1985, 10141, 412, 983, 596, 5801, 354, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 2542, 1998, 12850, 645, 6899, 3484, 12850, 1596, 4808, 13435, 12450, 1490, 898, 2053, 1742, 27166, 9968, 2463, 16552, 4246, 9968, 561, 1243, 1574, 298, 3006, 359, 384, 347, 5297, 676, 2322, 4467, 5328, 12299, 15586, 309, 5464, 8424, 37294, 1656, 596, 205, 4591, 571, 309, 3043, 615, 6761, 6735, 11132, 1104, 9968, 4495, 563, 534, 11678, 3007, 1768, 311, 2406, 23742, 11927, 2539, 3811, 309, 6581, 428, 8530, 1008, 14170, 35580, 311, 15813, 2162, 12132, 10797, 8816, 16824, 15961, 33454, 13320, 597, 27856, 1069, 311, 1574, 1600, 24512, 1412, 925, 40878, 309, 23354, 1316, 387, 6985, 1925, 2162, 14118, 537, 942, 1494, 1237, 15961, 16811, 899, 19, 20361, 309, 4069, 2368, 40797, 1925, 4924, 14118, 537, 942, 1494, 1926, 10797, 309, 4069, 1493, 33160, 274, 36516, 2162, 1494, 1926, 899, 19, 20361, 802, 359, 43307, 7593, 11242, 1887, 1758, 4374, 6231, 3056, 581, 6370, 1462, 1634, 5231, 7797, 4358, 3087, 898, 2053, 1742, 27166, 9968, 898, 2053, 7489, 34849, 1634, 5231, 309, 1353, 596, 205, 29819, 6856, 17338, 1758, 2137, 6832, 371, 1156, 4669, 1316, 8253, 2053, 19258, 27166, 9968, 5360, 704, 9718, 1742, 27166, 9968, 13207, 7489, 34849, 1634, 5231, 309, 1353, 10347, 24724, 979, 11879, 3087, 898, 2053, 1742, 27166, 9968, 898, 2053, 1742, 2002, 1645, 1586, 526, 1074, 380, 4669, 1316, 9718, 2088, 27166, 9968, 5517, 311, 5052, 5660, 309, 2053, 319, 19258, 24701, 27166, 9968, 1072, 2053, 7489, 34849, 1634, 5231, 596, 205, 2696, 1758, 4374, 3056, 581, 347, 6735, 3696, 4975, 561, 1069, 311, 4686, 1104, 3752, 9616, 26597, 3048, 19097, 7534, 474, 39019, 1061, 2162, 11355, 311, 18379, 4686, 3368, 546, 12309, 33888, 8460, 284, 4475, 2042, 596, 205, 2636, 384, 347, 6735, 16313, 996, 2991, 2053, 19258, 27166, 9968, 298, 18663, 359, 387, 21468, 309, 6953, 339, 2074, 1316, 2849, 7883, 7514, 9416, 5453, 359, 347, 3548, 567, 8645, 546, 12309, 596, 205, 1707, 347, 6735, 33379, 384, 32590, 16552, 4246, 428, 16009, 1353, 878, 6235, 4641, 785, 39323, 2938, 996, 3400, 1969, 359, 309, 4631, 2824, 283, 44092, 233, 339, 4897, 1353, 339, 12338, 16552, 1949, 3716, 359, 2197, 43875, 311, 10247, 24706, 7631, 33192, 1243, 5464, 4246, 596, 205, 1377, 32, 565, 5514, 309, 2162, 3799, 311, 19188, 43807, 1361, 18390, 9588, 339, 4407, 2004, 156, 239, 9118, 41757, 29906, 25381, 42418, 16946, 428, 4997, 1353, 309, 1472, 5732, 359, 384, 3115, 4407, 1622, 3147, 8424, 596, 205, 10488, 1758, 3056, 581, 5331, 1634, 5231, 43552, 1560, 6487, 2457, 24190, 10846, 15829, 309, 1353, 384, 10481, 384, 12756, 7489, 9846, 298, 3006, 359, 384, 347, 5240, 24434, 309, 2053, 7489, 34849, 1634, 5231, 18567, 3441, 5946, 3655, 359, 596, 205, 2696, 1758, 2137, 1047, 4967, 371, 1156, 5360, 704, 9718, 1742, 27166, 9968, 4669, 1316, 8253, 2053, 19258, 347, 17338, 505, 31471, 359, 387, 17640, 2162, 28719, 6215, 26157, 384, 1574, 9228, 3368, 309, 6735, 49437, 347, 15952, 4686, 311, 28399, 294, 1292, 1061, 39019, 474, 1926, 2197, 3415, 311, 6236, 6246, 309, 6878, 11678, 1264, 4672, 6735, 3818, 933, 311, 29820, 920, 3817, 2280, 311, 28910, 5086, 1893, 546, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 267, 2063, 311, 11543, 712, 4329, 2657, 6150, 309, 1428, 22549, 5858, 379, 3624, 298, 387, 8728, 18233, 1863, 1457, 28640, 898, 2101, 20161, 11194, 339, 9837, 8535, 309, 35628, 39499, 1106, 280, 1395, 4653, 17599, 1884, 955, 419, 1912, 12455, 6586, 298, 1474, 301, 2663, 8294, 4367, 869, 33804, 2368, 298, 22864, 382, 1129, 859, 869, 33804, 4495, 309, 3728, 20, 205, 1377, 3628, 541, 1755, 1310, 27288, 852, 7062, 551, 678, 38578, 428, 2506, 373, 5477, 18713, 25476, 7324, 387, 8728, 18233, 1863, 1457, 339, 42777, 1893, 4939, 11421, 410, 4086, 597, 2258, 20551, 289, 1089, 1189, 205, 1707, 3628, 551, 639, 2556, 1863, 4367, 428, 39158, 332, 898, 2039, 23988, 15786, 12391, 6140, 339, 23344, 410, 4086, 1474, 6140, 8294, 1129, 859, 428, 39158, 332, 31505, 7104, 339, 24333, 410, 4086, 1114, 30616, 520, 38963, 615, 2381, 11843, 563, 441, 373, 14542, 18713, 2913, 1178, 3600, 1189, 205, 1452, 17356, 46641, 8582, 3399, 9944, 16723, 2901, 379, 3624, 298, 387, 3600, 7031, 25366, 12455, 6586, 309, 2953, 17356, 298, 29187, 347, 2556, 12501, 1806, 296, 281, 428, 39158, 332, 3717, 17356, 18220, 2750, 470, 6140, 339, 9837, 1493, 20, 205, 1377, 9120, 3399, 9944, 309, 17356, 50146, 8378, 678, 26279, 3600, 7031, 19117, 20148, 1249, 309, 2422, 1395, 4653, 34229, 15817, 704, 309, 17356, 1671, 2556, 12501, 1806, 296, 281, 428, 39158, 332, 3717, 17356, 18220, 2750, 470, 869, 33804, 1493, 34731, 3078, 339, 32204, 410, 4086, 1189, 205, 1707, 347, 678, 360, 2791, 4367, 541, 20701, 282, 8779, 2039, 4218, 15786, 12391, 5281, 869, 33804, 2368, 597, 29069, 339, 9379, 410, 4086, 298, 2307, 2064, 869, 33804, 4495, 18233, 1863, 1457, 541, 39158, 282, 20161, 11194, 34731, 1372, 339, 24171, 410, 4086, 1189, 205, 4174, 9099, 678, 317, 8294, 21434, 3451, 37499, 24327, 5281, 869, 33804, 6259, 597, 29069, 339, 14306, 410, 4086, 2307, 27826, 2556, 12163, 1353, 13976, 869, 33804, 6259, 34731, 3078, 339, 4704, 410, 4086, 43744, 17356, 4033, 2086, 869, 33804, 9701, 34731, 1372, 339, 1120, 17756, 4086, 1189, 205, 3511, 8378, 347, 678, 3021, 19068, 7259, 676, 1944, 13636, 41610, 12501, 1806, 296, 281, 287, 28, 13636, 7710, 2791, 4367, 287, 27, 13636, 7710, 2791, 1863, 1457, 287, 26, 13636, 41610, 21434, 8309, 15227, 16603, 563, 1244, 1353, 13976, 1189, 205, 1452, 16501, 4238, 3399, 9944, 16723, 2901, 379, 3624, 298, 387, 2746, 748, 18713, 10634, 2650, 298, 712, 23424, 22141, 11170, 2556, 18233, 1863, 1457, 28640, 20161, 11194, 9209, 332, 12163, 1129, 859, 5686, 37499, 24327, 20, 205, 1377, 9120, 3399, 9944, 309, 16501, 4731, 2370, 272, 25528, 565, 678, 38578, 7031, 19117, 20148, 1249, 21005, 319, 18778, 14471, 2548, 309, 16501, 9654, 1671, 2556, 18233, 1863, 1457, 21783, 1144, 20161, 11194, 869, 33804, 1493, 34731, 3078, 339, 17002, 410, 4086, 1189, 205, 1707, 347, 678, 21301, 12163, 1129, 859, 3451, 37499, 24327, 5281, 869, 33804, 2368, 597, 29069, 339, 14905, 410, 4086, 298, 1474, 5281, 869, 33804, 4495, 2556, 4851, 28640, 5101, 3323, 1729, 34731, 1372, 339, 5351, 410, 4086, 1189, 205, 8458, 347, 678, 360, 2791, 4367, 541, 20701, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 17679, 3386, 1626, 4573, 272, 459, 428, 19009, 925, 7866, 6609, 30021, 309, 27611, 5198, 3521, 4659, 1565, 2011, 319, 20, 16980, 326, 6609, 30021, 36356, 590, 11056, 309, 14724, 712, 25865, 26461, 14127, 9447, 390, 30253, 319, 311, 477, 19804, 1006, 30456, 334, 10255, 309, 5198, 28286, 901, 45972, 20, 205, 804, 1310, 5977, 309, 1626, 9350, 5326, 22354, 339, 6376, 5198, 712, 4735, 1644, 10355, 339, 28284, 2194, 5699, 20, 205, 5614, 1662, 272, 1626, 4573, 272, 459, 21521, 704, 3486, 2213, 311, 12260, 31144, 16111, 10791, 7309, 920, 469, 4480, 24688, 10021, 9391, 4790, 309, 7472, 387, 1069, 38137, 1006, 11313, 4870, 309, 700, 5828, 20, 205, 1377, 30253, 30136, 13414, 1146, 940, 1186, 498, 2962, 2761, 6947, 20, 2440, 19165, 5699, 1315, 14399, 3391, 520, 4031, 20, 880, 772, 4560, 462, 13788, 1249, 8374, 2294, 16468, 347, 3298, 3302, 6751, 13100, 3128, 1264, 7889, 3302, 3128, 13100, 6751, 12791, 6220, 24833, 5969, 205, 598, 4190, 274, 1361, 11072, 1368, 309, 1516, 1041, 1230, 311, 38137, 461, 23555, 34281, 302, 27123, 37402, 761, 20, 205, 1377, 30253, 30136, 1180, 13414, 3236, 498, 2962, 462, 4409, 1312, 1038, 5699, 15877, 1315, 4031, 428, 9810, 309, 3850, 28286, 1141, 20917, 22354, 3721, 20, 1373, 24494, 334, 311, 2761, 6947, 880, 2761, 6947, 3049, 752, 20, 3860, 4208, 4319, 280, 13030, 852, 26463, 22654, 1114, 34783, 1353, 1368, 20639, 512, 3377, 16093, 895, 205, 38362, 1462, 5699, 1159, 700, 10423, 26229, 1506, 9684, 10255, 24305, 1145, 27637, 8431, 16385, 1756, 9470, 311, 1337, 3489, 26849, 309, 3128, 20, 205, 1911, 2625, 13123, 1102, 4528, 24148, 5715, 7080, 20, 8125, 8331, 1051, 9199, 38137, 8374, 311, 3386, 1626, 10255, 309, 2639, 5198, 20, 205, 1377, 4304, 22193, 581, 309, 1157, 42960, 1815, 297, 18001, 13414, 297, 419, 2547, 498, 523, 1041, 1864, 14680, 1172, 48018, 752, 20, 477, 19804, 28816, 309, 23520, 1747, 339, 18806, 5699, 811, 6091, 3608, 1259, 4045, 1384, 885, 7590, 1622, 2705, 10003, 6280, 1516, 15363, 1683, 895, 205, 16763, 2193, 936, 31124, 428, 4735, 339, 597, 6369, 14844, 13291, 6330, 4573, 272, 459, 7823, 20, 18791, 2011, 334, 1006, 18268, 16111, 6363, 2161, 3261, 309, 1591, 8744, 597, 551, 15505, 497, 21465, 9944, 1180, 2116, 704, 3966, 924, 41077, 3361, 309, 1768, 2116, 704, 1858, 18294, 334, 339, 1102, 1516, 36356, 590, 20, 205, 24535, 24586, 334, 7081, 334, 1006, 11313, 497, 4573, 272, 459, 551, 2761, 7205, 16559, 1232, 918, 469, 11017, 6374, 20, 205, 3232, 344, 3622, 18061, 5234, 20781, 354, 1491, 498, 43966, 19280, 8503, 608, 523, 17105, 516, 469, 7564, 24742, 6901, 551, 611, 1449, 7205, 2196, 20, 1172, 6009, 523, 39681, 20, 461, 6910, 46158, 24559, 571, 895, 205, 3232, 344, 3622, 38913, 5234, 20781, 410, 3157, 288, 498, 41993, 998, 347, 7564, 16627, 26451, 461, 10780, 512, 3377, 752, 20, 12980, 28109, 4081, 1046, 10705, 11072, 21560, 339, 8663, 1368, 611, 469, 5313, 2190, 805, 20, 461, 5313, 2190, 10219, 311, 571, 855, 5020, 7590, 512, 3377, 20, 3836, 11201, 38548, 6589, 752, 895, 205, 6321, 2227, 311, 571, 3619, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 16, 205, 16, 8610, 24314, 14580, 16904, 32279, 303, 19444, 7836, 555, 6976, 738, 5198, 20, 205, 19, 515, 738, 205, 1801, 1164, 4642, 7667, 741, 1185, 3644, 304, 339, 8775, 12803, 43825, 309, 2205, 373, 8295, 1742, 298, 920, 375, 1618, 873, 311, 2290, 9960, 309, 5876, 1895, 387, 399, 29497, 658, 579, 1366, 298, 15727, 24238, 323, 373, 8479, 304, 428, 28634, 925, 400, 373, 305, 27638, 32395, 1742, 26535, 885, 582, 282, 298, 920, 469, 1084, 373, 388, 1067, 672, 395, 4892, 384, 45853, 13268, 1784, 43825, 21539, 19891, 359, 311, 5941, 323, 373, 8479, 20358, 27500, 311, 6047, 26163, 405, 373, 18407, 5721, 969, 826, 3693, 359, 7747, 1889, 1108, 205, 2393, 485, 7449, 373, 156, 233, 309, 4202, 2205, 373, 355, 741, 8348, 738, 327, 29080, 19, 347, 373, 332, 897, 373, 1440, 2447, 309, 696, 359, 311, 11607, 33295, 373, 473, 994, 8624, 1742, 309, 5068, 3863, 298, 7667, 741, 1212, 1624, 4289, 1185, 3644, 304, 1203, 22388, 298, 9651, 7373, 1065, 405, 373, 1311, 334, 2811, 26508, 46720, 3815, 9158, 12145, 1578, 3077, 17391, 298, 17516, 497, 3816, 9080, 2205, 373, 355, 741, 38593, 359, 25387, 1021, 14570, 319, 2293, 373, 1725, 1493, 339, 4053, 323, 373, 156, 239, 16555, 1008, 2205, 373, 4944, 298, 1915, 2768, 24238, 323, 373, 156, 239, 19088, 761, 41065, 761, 2520, 298, 311, 615, 3254, 10507, 561, 5916, 323, 373, 1495, 18955, 323, 373, 156, 239, 12849, 286, 373, 280, 1008, 13627, 2205, 373, 355, 741, 1074, 373, 2844, 303, 443, 1538, 502, 373, 7206, 2516, 3878, 400, 373, 4655, 1203, 373, 3924, 20, 205, 20367, 11141, 2682, 400, 373, 291, 624, 339, 12771, 1104, 298, 21539, 4556, 288, 359, 1461, 6279, 4061, 288, 5227, 805, 400, 373, 4655, 309, 3913, 330, 1538, 298, 702, 8617, 33030, 332, 563, 11444, 384, 4999, 14415, 33735, 848, 298, 12895, 359, 311, 32078, 373, 35816, 22582, 1162, 267, 1143, 3815, 9158, 359, 339, 44514, 3071, 680, 2072, 298, 1486, 5909, 5583, 494, 274, 17171, 282, 15, 663, 4403, 2491, 9494, 32, 863, 266, 1199, 469, 461, 227, 156, 239, 346, 355, 463, 267, 346, 388, 1500, 7523, 387, 1807, 298, 855, 6216, 502, 536, 373, 263, 1467, 758, 4061, 288, 20, 3073, 571, 4980, 12323, 290, 8974, 516, 848, 20, 920, 50103, 4595, 768, 917, 298, 1437, 768, 917, 20, 20600, 571, 7889, 4595, 298, 2534, 758, 373, 2145, 610, 311, 4980, 717, 462, 2188, 4762, 263, 1219, 373, 156, 233, 294, 413, 280, 9856, 311, 1807, 420, 309, 2370, 2866, 1843, 205, 34423, 5909, 5583, 309, 493, 3802, 347, 373, 44514, 461, 4148, 1065, 387, 44514, 2072, 298, 855, 6216, 502, 536, 373, 263, 16457, 13371, 1199, 387, 1807, 14490, 288, 359, 424, 20834, 1021, 1165, 309, 1135, 1762, 4524, 29643, 384, 3824, 323, 373, 156, 239, 10693, 5934, 1379, 339, 3347, 309, 28012, 18955, 2205, 373, 355, 741, 298, 1437, 469, 6396, 2072, 802, 359, 5286, 399, 879, 581, 309, 46211, 39161, 1046, 373, 282, 2449, 1005, 1549, 14761, 384, 1807, 298, 1072, 47099, 400, 373, 291, 624, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 310, 3133, 2246, 3917, 41081, 339, 994, 5094, 39277, 39277, 39277, 34935, 493, 5293, 10173, 282, 366, 2475, 366, 2475, 366, 2475, 21137, 726, 3550, 523, 205, 9989, 1463, 290, 309, 5094, 7762, 841, 6306, 274, 14342, 34946, 773, 48673, 712, 505, 20111, 339, 14342, 5149, 309, 5397, 1114, 505, 11722, 22897, 3373, 8116, 13325, 3610, 388, 920, 7340, 852, 14342, 41560, 5149, 1117, 49710, 381, 6415, 24767, 283, 1110, 475, 10944, 4492, 855, 14249, 311, 10665, 596, 712, 505, 26843, 332, 8358, 852, 6890, 473, 596, 28206, 596, 12444, 1467, 46437, 26331, 7660, 461, 1994, 32965, 387, 8743, 841, 3603, 631, 17350, 516, 309, 47952, 30556, 411, 284, 19142, 558, 12279, 596, 36909, 17350, 282, 5086, 409, 805, 309, 18297, 596, 3809, 320, 516, 36980, 551, 28853, 387, 2149, 1102, 6305, 596, 5496, 861, 852, 5871, 24577, 2122, 4343, 2460, 516, 551, 28510, 2570, 21137, 726, 390, 7848, 330, 1144, 596, 205, 4793, 493, 6305, 2029, 309, 18273, 9388, 3574, 21703, 18956, 24342, 1509, 382, 878, 1230, 311, 2549, 596, 3574, 5848, 205, 470, 9064, 596, 3809, 36757, 26146, 1665, 309, 14315, 1547, 21979, 45829, 1042, 3163, 7660, 48491, 309, 708, 24299, 3221, 43015, 390, 11542, 28902, 1747, 596, 3574, 676, 928, 15050, 2809, 641, 31042, 21173, 311, 4093, 596, 3391, 8504, 528, 469, 19420, 596, 880, 205, 470, 5094, 16500, 18010, 274, 8749, 309, 2997, 339, 3221, 9152, 4803, 596, 880, 493, 5888, 4320, 2761, 2534, 5094, 10550, 339, 3687, 205, 12721, 36757, 10896, 227, 156, 239, 9220, 1945, 3574, 8749, 22796, 880, 461, 5094, 10550, 339, 3687, 3656, 446, 5071, 2761, 1830, 11843, 1198, 3352, 8749, 698, 27303, 2926, 4106, 48600, 596, 3999, 461, 10883, 319, 841, 28206, 3779, 841, 2621, 18123, 38845, 1046, 3050, 27203, 776, 676, 16351, 5436, 852, 14342, 10379, 2587, 1164, 2809, 5428, 596, 27676, 2364, 1310, 11655, 6196, 852, 746, 6386, 285, 311, 931, 1375, 780, 523, 12675, 551, 4634, 8769, 8749, 311, 5729, 48600, 1160, 7630, 761, 23334, 311, 872, 8701, 841, 3809, 36757, 309, 4473, 7415, 38749, 14219, 612, 325, 205, 281, 1710, 274, 8749, 311, 48600, 551, 5790, 11285, 1324, 925, 1027, 7838, 274, 3050, 6395, 1019, 205, 4111, 431, 6718, 18911, 5931, 903, 156, 239, 16351, 5436, 2934, 852, 371, 2779, 596, 469, 2021, 852, 1755, 156, 239, 977, 11285, 339, 8547, 334, 931, 205, 24713, 332, 1458, 953, 1251, 841, 20007, 1019, 48600, 12279, 1458, 36481, 841, 1072, 3099, 5094, 16500, 46622, 794, 596, 2064, 3050, 8473, 205, 442, 48600, 18010, 11542, 24463, 852, 371, 2779, 9475, 1221, 1164, 5035, 2809, 9152, 4803, 20, 5076, 505, 311, 48600, 852, 2997, 339, 205, 6335, 4038, 3809, 276, 464, 1248, 2649, 596, 28206, 2584, 15312, 8749, 3687, 36357, 852, 3221, 649, 4151, 596, 1072, 19469, 771, 3833, 332, 23334, 311, 611, 1591, 596, 5801, 27742, 8749, 852, 2528, 3809, 36757, 309, 2934, 1165, 2127, 453, 22754, 339, 27732, 205, 12721, 36757, 309, 1834, 387, 3050, 38210, 38210, 596, 1579, 34140, 484, 38210, 3847, 1141, 609, 419, 8749, 12223, 461, 825, 1008, 5094, 596, 205, 7456, 332, 18010, 274, 11094, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 42106, 5749, 1654, 20293, 873, 2110, 14413, 3772, 2863, 205, 1628, 2305, 1790, 311, 1259, 505, 3773, 311, 4272, 384, 1575, 31472, 3521, 11764, 3836, 20, 43185, 884, 2827, 3697, 309, 1300, 7113, 298, 712, 4177, 18049, 1141, 312, 9438, 16185, 598, 5428, 34490, 13641, 2186, 384, 2687, 45153, 45715, 428, 505, 876, 6528, 1665, 4179, 298, 10408, 6751, 14615, 381, 15207, 359, 7225, 46930, 458, 309, 3128, 7409, 1515, 5446, 498, 290, 1765, 5259, 309, 5170, 7651, 895, 205, 43166, 2872, 309, 31472, 2972, 887, 41072, 1459, 6119, 298, 2166, 2542, 334, 311, 347, 32927, 3262, 461, 3930, 334, 49270, 2945, 12273, 1121, 339, 46262, 27741, 20, 7992, 884, 2029, 298, 1072, 11701, 505, 803, 6946, 4333, 772, 8640, 3310, 8471, 20, 630, 8213, 12974, 13346, 311, 4948, 1459, 11252, 4731, 20947, 793, 413, 266, 1218, 156, 233, 346, 274, 384, 1900, 537, 43464, 20, 1915, 7284, 3187, 298, 505, 595, 8323, 1365, 1631, 311, 29606, 298, 1684, 505, 583, 4713, 858, 20, 205, 4325, 422, 13898, 309, 520, 37172, 3417, 309, 1237, 384, 28785, 6825, 5749, 298, 24903, 3478, 1199, 26260, 37355, 14692, 13118, 534, 1390, 3215, 1007, 4317, 8764, 12782, 1007, 4317, 7674, 298, 1183, 339, 6517, 15303, 20801, 14841, 42356, 700, 18625, 20, 205, 27565, 32860, 298, 2420, 4011, 10823, 298, 884, 5451, 339, 2638, 387, 14953, 309, 10926, 9275, 298, 6459, 14841, 3478, 1537, 4814, 298, 1547, 721, 497, 19195, 298, 33874, 309, 571, 2470, 3697, 1600, 9391, 2305, 1790, 298, 1720, 14991, 520, 2110, 996, 7778, 405, 755, 14659, 11252, 4731, 20, 11995, 5676, 14841, 311, 571, 2761, 13289, 25538, 42458, 1176, 20, 205, 20825, 387, 2222, 1468, 205, 281, 7345, 7256, 803, 15177, 311, 10531, 4889, 1626, 6825, 10937, 8393, 309, 3215, 1982, 654, 461, 946, 347, 825, 8805, 6213, 10546, 772, 5675, 311, 11053, 16811, 3698, 1641, 3094, 1040, 1982, 298, 43196, 11714, 309, 4377, 21, 8536, 311, 493, 704, 6323, 20, 2142, 837, 28078, 13527, 32, 4122, 6437, 1384, 20, 205, 1628, 2116, 33099, 1394, 4259, 10792, 298, 1165, 498, 2685, 106, 2791, 1756, 2094, 8, 309, 12573, 298, 1114, 15278, 3234, 13868, 309, 1102, 12984, 5766, 3368, 309, 4052, 10211, 37128, 493, 2349, 8031, 748, 18825, 311, 5766, 3368, 309, 9807, 390, 1455, 2094, 20, 205, 47181, 5782, 838, 311, 30145, 1835, 23189, 309, 2107, 8689, 1159, 2564, 2543, 298, 2046, 11726, 25812, 334, 4107, 7119, 45550, 2775, 20, 205, 19061, 45950, 432, 23075, 384, 347, 7340, 309, 2222, 1051, 330, 3706, 12102, 16544, 339, 5683, 424, 3404, 17927, 29676, 9409, 384, 6437, 4873, 772, 461, 4735, 5683, 309, 13994, 7474, 298, 878, 41172, 298, 1006, 8129, 1896, 334, 1102, 5683, 1232, 25535, 1411, 498, 1558, 1297, 8173, 8, 8092, 4125, 1053, 298, 880, 309, 4450, 802, 1411, 498, 1526, 10630, 15502, 319, 1348, 4689, 17364, 20, 205, 2876, 339, 5058, 2483, 390, 6782, 5705, 309, 1360, 17796, 298, 24903, 7360, 317, 4259, 1253, 15612, 19772, 1411, 15399, 17554, 13194, 298, 1183, 977, 9244, 4259, 25053, 20, 45675, 347, 1180, 3205, 3180, 13251, 567, 2730, 512, 2786, 311, 5941, 4696, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 31591, 11178, 205, 15101, 205, 267, 6575, 578, 65, 20182, 67, 205, 570, 14708, 65, 20182, 67, 205, 10514, 309, 2346, 8668, 712, 17783, 4695, 3224, 309, 11215, 311, 8973, 298, 924, 26181, 309, 2368, 4679, 3655, 42182, 1342, 45875, 3982, 282, 600, 309, 27273, 298, 15797, 4105, 339, 19992, 700, 31965, 263, 298, 1486, 6011, 282, 2271, 18714, 1495, 339, 6018, 3202, 28199, 309, 1102, 9156, 1530, 704, 20, 924, 9163, 5775, 384, 4093, 18333, 304, 5847, 3407, 2157, 43201, 1212, 339, 5847, 1330, 700, 37291, 263, 298, 1486, 6011, 282, 1316, 339, 2953, 3344, 298, 37253, 339, 6018, 3202, 309, 4292, 498, 31756, 1104, 895, 842, 918, 6439, 384, 2827, 712, 26181, 3442, 14580, 3181, 13122, 1943, 7836, 3360, 2027, 2381, 2116, 461, 748, 462, 6216, 1008, 1762, 986, 19169, 384, 3212, 3077, 1104, 45650, 332, 14580, 16904, 428, 7854, 1212, 700, 25756, 263, 298, 1486, 6011, 282, 1316, 339, 16728, 298, 1720, 505, 4386, 541, 4105, 339, 6470, 498, 20918, 1331, 390, 16329, 12879, 2368, 895, 205, 291, 9960, 4358, 373, 275, 65, 20182, 67, 205, 4458, 4238, 33440, 3719, 9944, 387, 38783, 384, 390, 408, 309, 3212, 3077, 1104, 45650, 332, 1671, 31324, 520, 8720, 1733, 15055, 298, 12932, 311, 11623, 282, 20, 10703, 4105, 339, 2340, 9851, 311, 1102, 6285, 309, 9946, 19652, 1895, 700, 29144, 263, 298, 924, 20684, 309, 12583, 384, 5444, 700, 30311, 263, 17776, 10386, 1699, 3551, 309, 2457, 26724, 15274, 298, 20605, 2069, 23643, 263, 597, 347, 4105, 339, 2340, 405, 755, 966, 309, 3214, 1415, 3767, 20, 920, 1259, 8610, 309, 922, 6285, 298, 5851, 1274, 7805, 36674, 9946, 19652, 26898, 1415, 3767, 15500, 2438, 41468, 311, 6261, 298, 49235, 339, 6018, 9851, 42271, 20, 920, 20018, 17574, 2214, 625, 25703, 298, 1114, 14917, 48733, 44363, 298, 1720, 31003, 16485, 920, 309, 1560, 9701, 298, 287, 8985, 925, 39212, 597, 571, 19140, 9503, 20, 205, 8257, 156, 233, 373, 281, 1699, 65, 20182, 67, 205, 478, 311, 4950, 838, 311, 11518, 2346, 469, 561, 3107, 28089, 13037, 38317, 339, 774, 26947, 717, 6745, 347, 5095, 498, 357, 419, 895, 9522, 10386, 1699, 7547, 20205, 461, 14628, 2516, 6657, 984, 930, 1500, 1273, 2076, 339, 4828, 311, 13591, 5382, 2100, 6019, 3366, 428, 1832, 925, 298, 1684, 505, 12212, 384, 35043, 311, 13211, 658, 579, 3767, 309, 10386, 1699, 27605, 3398, 298, 17926, 309, 1907, 36512, 11925, 3053, 1895, 6299, 686, 298, 30609, 561, 1813, 388, 7862, 1065, 1467, 298, 885, 4391, 469, 20924, 713, 361, 4507, 311, 347, 918, 12565, 630, 2547, 884, 6326, 1081, 924, 34750, 298, 878, 626, 409, 388, 691, 6976, 449, 630, 656, 498, 3108, 7068, 8, 205, 33638, 1073, 4358, 65, 20182, 67, 205, 8058, 47083, 41610, 3107, 1758, 4355, 11178, 4461, 9605, 921, 24572, 46297, 428, 40452, 14301, 30000, 311, 9946, 19652, 26898, 1415, 3767, 17391, 44173, 20, 4523, 838, 311, 2346, 2452, 1081, 36348, 7547, 34483, 4764, 311, 40047, 20347, 428, 1697, 925, 17149, 1390, 1684, 296, 15444, 298, 34755, 380, 311, 50235, 7006, 298, 9681, 13682, 1102, 40047, 11316, 5491, 35067, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 205, 205, 2706, 5993, 424, 317, 11449, 1317, 3489, 7977, 309, 2870, 32, 205, 1285, 26911, 1993, 9048, 7977, 205, 274, 40930, 15220, 15233, 1993, 309, 11449, 287, 3711, 1317, 3489, 7977, 311, 6019, 2666, 31869, 20, 40292, 1305, 12434, 287, 567, 461, 5044, 3613, 287, 461, 10021, 339, 1384, 512, 1449, 287, 10845, 2338, 309, 4576, 19447, 37139, 558, 16953, 414, 2543, 20, 287, 2401, 4005, 6596, 1762, 4560, 3309, 1154, 4810, 3008, 17821, 4522, 1625, 5267, 461, 2076, 3613, 287, 461, 10021, 339, 3631, 512, 1449, 287, 10845, 17821, 2977, 852, 6113, 37139, 558, 20, 205, 266, 2401, 4005, 772, 31488, 339, 931, 663, 461, 14193, 2190, 805, 9755, 978, 1883, 7063, 12460, 554, 1438, 1310, 1365, 3491, 1384, 4066, 20, 3073, 1202, 2832, 339, 1490, 551, 3825, 1693, 469, 13197, 311, 12949, 1665, 339, 26769, 551, 10550, 571, 3503, 1192, 5675, 334, 311, 931, 20, 29134, 469, 1289, 16741, 551, 5575, 497, 39697, 19195, 17821, 3116, 1224, 4507, 311, 1490, 287, 10845, 17821, 1033, 825, 8222, 339, 7213, 309, 1317, 3489, 7977, 20, 205, 266, 309, 922, 1135, 4005, 918, 311, 19622, 1490, 311, 15213, 334, 2334, 43697, 748, 12536, 339, 931, 20, 287, 311, 5914, 3145, 21832, 14732, 287, 1202, 12793, 17821, 461, 758, 287, 551, 3825, 1490, 1693, 571, 287, 1121, 7387, 309, 4690, 20181, 1665, 3865, 311, 924, 6627, 2330, 2658, 772, 2577, 2334, 23769, 339, 931, 20, 205, 442, 6817, 551, 12433, 2505, 287, 461, 12433, 1943, 5451, 339, 22928, 5244, 354, 2426, 2197, 15384, 339, 571, 311, 5011, 9225, 339, 1490, 5490, 20, 2710, 2520, 676, 24822, 339, 1685, 571, 311, 615, 3887, 26344, 287, 5331, 1490, 4033, 3350, 2481, 15686, 20, 205, 317, 1317, 13261, 5391, 2714, 387, 1317, 15546, 20, 287, 8488, 571, 852, 4161, 551, 1373, 8911, 1525, 334, 3655, 309, 28749, 287, 11690, 485, 27782, 334, 309, 2377, 20, 28334, 1373, 3415, 8687, 366, 2339, 10180, 311, 2377, 8521, 287, 9319, 4201, 32902, 287, 8528, 26758, 20, 287, 1530, 4005, 2738, 4532, 3342, 287, 34679, 5391, 311, 1626, 852, 1051, 20, 287, 1530, 4005, 311, 12887, 339, 2470, 428, 37867, 339, 2470, 10687, 309, 4532, 3342, 287, 311, 35596, 339, 3295, 27739, 282, 8521, 287, 4042, 485, 8425, 339, 20246, 287, 2007, 11170, 4625, 12793, 20, 287, 44637, 551, 571, 2579, 852, 37111, 309, 41995, 28749, 7459, 541, 5326, 339, 2710, 3788, 748, 2505, 20, 205, 281, 1469, 567, 6849, 4005, 4639, 676, 428, 17680, 1646, 4048, 3865, 512, 676, 428, 9549, 5009, 24181, 287, 10845, 5009, 14239, 1041, 3411, 2505, 676, 428, 9549, 5009, 3828, 20, 1937, 1317, 4834, 8697, 311, 3828, 986, 4843, 805, 611, 311, 4639, 287, 3411, 2505, 20, 287, 461, 2676, 551, 1317, 13261, 520, 26341, 339, 611, 311, 14239, 287, 2738, 2161, 1856, 20, 287, 311, 5914, 1685, 8415, 5644, 17821, 461, 758, 551, 5790, 611, 3213, 7523, 21360, 7394, 10687, 20, 2534, 758, 287, 551, 5790, 4639, 7487, 5873, 6069, 2505, 287, 2401, 4005, 2738, 3411, 2505, 17598, 13011, 287, 7437, 4048, 5897, 20, 287, 752, 3540, 551, 2204, 653, 561, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 25351, 13284, 205, 594, 2193, 3251, 13284, 5691, 7127, 1253, 5944, 1281, 1703, 14416, 384, 3369, 20, 2701, 1197, 1341, 4694, 20, 5955, 3048, 1071, 1883, 45988, 3375, 13527, 309, 18809, 3251, 13284, 428, 7877, 13265, 2713, 2485, 387, 1282, 1459, 1341, 4694, 20, 5955, 1071, 1883, 2634, 13992, 20, 26907, 339, 13452, 2470, 2042, 298, 39121, 17238, 288, 23580, 364, 18, 340, 970, 7115, 18, 2083, 267, 7115, 298, 1750, 40017, 918, 20, 2287, 309, 493, 1576, 493, 5946, 311, 4782, 32, 2464, 11230, 1423, 20690, 8505, 18984, 39121, 301, 6209, 18, 2083, 9049, 18, 21028, 1997, 20, 17087, 1867, 4247, 415, 23067, 7864, 4694, 20, 8211, 3139, 6537, 9767, 8691, 309, 3251, 13284, 20, 20759, 4694, 20, 8211, 6338, 586, 1614, 339, 1153, 7161, 3375, 428, 461, 1279, 1614, 1145, 309, 512, 1591, 1180, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 1011, 4587, 6816, 347, 41453, 24473, 15189, 3855, 6363, 16830, 332, 2035, 666, 567, 14857, 2289, 311, 32096, 24685, 865, 34843, 205, 15349, 2736, 205, 327, 17143, 339, 1979, 347, 41453, 24473, 15189, 3855, 12752, 347, 461, 3312, 805, 1494, 4072, 8374, 2229, 379, 1038, 9150, 347, 24473, 15189, 825, 1900, 310, 25099, 359, 12688, 1249, 359, 379, 1114, 4536, 309, 13329, 4788, 2215, 494, 9330, 27, 9334, 15, 762, 14661, 309, 31397, 1979, 347, 461, 825, 27656, 309, 1762, 596, 205, 15428, 7780, 311, 32096, 24685, 865, 379, 10728, 1172, 2401, 379, 1273, 1667, 311, 41463, 1259, 424, 838, 2396, 38822, 493, 31131, 596, 205, 526, 16383, 1998, 2214, 40758, 8507, 7880, 637, 841, 205, 364, 3138, 19023, 1979, 4617, 3855, 6363, 16830, 332, 798, 300, 413, 293, 347, 493, 10241, 2097, 9031, 2035, 205, 18456, 3823, 841, 205, 8, 1979, 4587, 1019, 347, 41453, 31510, 3855, 12752, 347, 461, 825, 339, 25444, 30022, 2930, 379, 10336, 7780, 815, 5593, 359, 2097, 9031, 1280, 6713, 1259, 493, 1783, 1226, 379, 19835, 611, 2996, 798, 21069, 2549, 4784, 38822, 862, 379, 20699, 10977, 390, 300, 2663, 1365, 288, 359, 5830, 364, 359, 596, 4857, 6713, 1783, 1226, 18314, 493, 22711, 359, 17453, 1737, 9031, 6713, 2907, 379, 1121, 347, 825, 5157, 11567, 364, 359, 45780, 461, 13847, 1226, 379, 3943, 20177, 339, 611, 2149, 498, 9916, 596, 205, 8, 15023, 7367, 9349, 1979, 8, 494, 305, 23215, 15, 596, 205, 526, 411, 592, 205, 28204, 11555, 1583, 7005, 387, 19023, 31131, 3855, 6363, 15189, 3587, 791, 1176, 805, 1741, 558, 205, 43116, 309, 2804, 2035, 1684, 505, 558, 6315, 1741, 4587, 4329, 4115, 6363, 43111, 2035, 390, 1427, 347, 918, 205, 879, 1638, 25639, 309, 2957, 384, 5462, 3050, 654, 205, 281, 13635, 2525, 4587, 6816, 19023, 469, 24912, 32934, 309, 6363, 15189, 2537, 311, 24473, 10170, 298, 798, 505, 12546, 1495, 298, 2182, 1081, 10241, 45205, 855, 32934, 24685, 865, 298, 855, 4587, 6816, 347, 9780, 14887, 12441, 1006, 2334, 12864, 311, 513, 312, 10776, 298, 461, 309, 6363, 15189, 855, 309, 5786, 20, 625, 1983, 11710, 298, 37953, 637, 339, 24668, 1186, 8682, 20710, 2119, 20, 205, 7988, 4967, 645, 1047, 637, 645, 17064, 1117, 1047, 25968, 300, 45389, 1117, 1047, 4967, 3484, 1998, 1117, 3236, 5069, 317, 1117, 1047, 637, 645, 480, 7935, 1117, 6854, 1901, 8464, 205, 830, 11741, 2384, 11555, 494, 4514, 21, 25, 8814, 15, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 98, 291, 1745, 17899, 98, 205, 20, 20263, 1677, 205, 3021, 29850, 32, 1425, 205, 10985, 4182, 32, 17307, 21, 3466, 21, 19445, 205, 98, 20152, 32, 4686, 561, 841, 15296, 1421, 888, 1595, 7165, 3076, 4996, 4562, 738, 4704, 32, 2984, 2801, 3233, 205, 16024, 637, 5519, 10740, 205, 10712, 6677, 13692, 637, 16120, 205, 20152, 32, 4686, 561, 15296, 1595, 7165, 1421, 888, 205, 9544, 7250, 205, 4391, 205, 22703, 561, 205, 987, 3823, 1421, 888, 1595, 7165, 205, 15683, 21, 205, 290, 3767, 16967, 14481, 388, 205, 21606, 205, 19, 2602, 7564, 520, 6215, 2234, 561, 43711, 2112, 3529, 723, 36448, 17965, 277, 741, 31497, 43794, 12192, 339, 4900, 7403, 388, 1306, 1825, 18, 1911, 8878, 3529, 1559, 1350, 11350, 8510, 5562, 852, 26832, 339, 4900, 18, 4987, 520, 3529, 8362, 311, 7042, 17973, 287, 26655, 25511, 5766, 3573, 461, 27629, 332, 1667, 311, 1373, 20, 205, 19, 3317, 2346, 689, 2925, 6215, 10572, 205, 4391, 520, 484, 1932, 2110, 69, 266, 9942, 9814, 530, 621, 69, 529, 1557, 274, 42853, 8680, 561, 851, 620, 41463, 1114, 10057, 442, 39447, 15060, 339, 3032, 14481, 6561, 920, 13137, 3265, 3261, 20, 205, 34575, 311, 1365, 520, 42853, 7327, 2234, 14910, 2516, 6657, 14481, 6561, 484, 4098, 5119, 2714, 311, 851, 620, 758, 1066, 908, 4900, 880, 339, 6153, 555, 930, 6425, 930, 14481, 6561, 18, 15985, 5119, 1081, 267, 768, 620, 887, 5364, 33514, 13077, 1906, 3823, 31386, 25358, 14491, 311, 1393, 10812, 296, 546, 5628, 852, 1393, 370, 487, 18, 13744, 1146, 23609, 2899, 46528, 1622, 7070, 4835, 986, 13519, 1042, 7937, 14, 7201, 30610, 567, 16438, 14687, 339, 2786, 11120, 388, 424, 30704, 37926, 5419, 21977, 9564, 1979, 339, 43613, 631, 19853, 26384, 16445, 332, 723, 2061, 332, 18032, 14887, 15, 3608, 35094, 339, 21521, 14209, 33311, 352, 2220, 8, 291, 3823, 424, 375, 888, 4671, 476, 24754, 8, 424, 44266, 3452, 571, 18, 205, 1090, 21455, 41453, 25358, 21521, 14209, 33311, 352, 33401, 2600, 1260, 3799, 24266, 2751, 1207, 475, 18, 4987, 493, 69, 1469, 7296, 69, 4111, 24615, 24614, 45559, 17028, 4835, 15806, 19247, 561, 851, 620, 18, 571, 2289, 267, 461, 27629, 267, 469, 567, 15296, 1487, 567, 418, 888, 1487, 4999, 22743, 855, 4686, 4041, 20, 205, 7738, 505, 40577, 3721, 347, 354, 2594, 3529, 36704, 29336, 908, 32, 205, 8, 37202, 1624, 1287, 908, 4686, 561, 15296, 1421, 888, 1595, 7165, 8, 205, 19, 3745, 6215, 2112, 7366, 18, 266, 9942, 9814, 530, 621, 3629, 3107, 3397, 37483, 12587, 908, 22637, 2751, 11684, 649, 1127, 714, 1420, 397, 5528, 18005, 397, 9512, 6897, 9028, 14047, 22743, 339, 1979, 15548, 6173, 350, 847, 274, 612, 1568, 446, 767, 339, 611, 311, 227, 156, 239, 13034, 4240, 624, 551, 9780, 14887, 20, 205, 2672, 3212, 274, 520, 6215, 852, 2381, 10965, 10572, 205, 19, 987, 3823, 205, 24, 19, 2621, 888, 205, 25, 19, 47610, 350, 205, 18565, 3212, 27422, 339, 841, 205, 23, 19, 11188, 1065, 5776, 686, 205, 24, 19, 11188, 1065, 1306, 1825, 205, 25, 19, 1526, 20949, 311, 2877, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 205, 205, 809, 15076, 205, 809, 15076, 11072, 676, 3887, 20028, 205, 2715, 305, 3316, 2066, 311, 5277, 339, 347, 841, 498, 8115, 6833, 6693, 676, 7460, 901, 17190, 1654, 895, 205, 2715, 305, 3316, 3268, 311, 5277, 339, 347, 841, 498, 4480, 2039, 5598, 4398, 31465, 298, 11626, 4350, 2573, 309, 20813, 6006, 8239, 7532, 205, 648, 7460, 11072, 5581, 14822, 461, 17319, 205, 1954, 949, 36781, 3316, 1493, 311, 1457, 6802, 19, 13947, 19780, 309, 1643, 44753, 17409, 3162, 2279, 15076, 298, 7460, 11072, 5581, 6412, 15571, 5371, 1457, 20, 205, 8, 10041, 515, 841, 7460, 676, 6606, 6833, 2651, 287, 7002, 2469, 10948, 23900, 287, 10707, 3781, 20, 287, 5298, 9711, 17800, 6693, 20, 15571, 7460, 5371, 1457, 895, 205, 1954, 949, 36781, 3316, 2368, 311, 1457, 6802, 19, 13947, 19780, 309, 1643, 44753, 17409, 3162, 2279, 15076, 298, 1335, 15076, 8137, 20, 205, 8, 10041, 509, 841, 1335, 15076, 8137, 298, 2220, 287, 3499, 895, 205, 1954, 949, 36781, 3316, 4495, 311, 1457, 6802, 19, 13947, 19780, 309, 1643, 44753, 17409, 3162, 2279, 15076, 298, 1335, 15076, 2880, 16023, 636, 2486, 1793, 40123, 15817, 5379, 20, 205, 8, 10041, 899, 841, 21215, 7460, 1307, 6805, 567, 2039, 5062, 15328, 20469, 30249, 895, 205, 17679, 7460, 4398, 31465, 287, 1591, 3425, 1202, 14664, 298, 717, 5298, 34996, 42014, 309, 18632, 10971, 287, 3489, 2650, 287, 2822, 8239, 3873, 959, 20, 7002, 7460, 2469, 10948, 23900, 287, 10707, 3781, 287, 9407, 339, 2880, 16023, 636, 803, 10969, 332, 387, 1282, 13274, 5379, 287, 2486, 1793, 2959, 25889, 636, 311, 561, 25631, 2959, 6822, 7460, 20, 25760, 7460, 2600, 330, 862, 4696, 2650, 20, 205, 648, 520, 10587, 428, 37659, 1172, 2215, 2955, 19, 15304, 19780, 309, 2645, 36094, 14073, 49997, 1942, 7460, 287, 3105, 761, 9393, 1243, 405, 40748, 31226, 9453, 3892, 8696, 373, 277, 7405, 2348, 1805, 311, 615, 4484, 14120, 6412, 461, 17319, 309, 2670, 1863, 16102, 5298, 1008, 7460, 14951, 2651, 20, 287, 3230, 1675, 520, 10587, 311, 7460, 287, 8693, 15751, 16453, 6505, 803, 1081, 3238, 287, 9178, 11391, 287, 1921, 2650, 311, 1337, 2778, 1164, 1906, 423, 875, 2650, 1253, 12352, 287, 14728, 1685, 5458, 1976, 15375, 309, 3489, 2505, 287, 2520, 3998, 287, 1646, 1933, 8239, 3873, 959, 8797, 1412, 20, 205, 8942, 31316, 2069, 14073, 298, 11243, 4168, 7460, 1027, 6876, 2676, 34344, 3339, 311, 7339, 428, 16898, 592, 1019, 5371, 25326, 15328, 6708, 37291, 712, 2477, 46874, 11030, 10678, 309, 3909, 777, 387, 1353, 309, 1317, 3489, 2505, 287, 2520, 428, 10087, 6154, 309, 2140, 872, 7605, 1330, 502, 4036, 287, 571, 390, 3807, 26160, 287, 1000, 8797, 20414, 309, 1907, 906, 17682, 2822, 8239, 3873, 959, 287, 15080, 10461, 20, 205, 266, 390, 571, 2535, 347, 8475, 339, 493, 1457, 838, 311, 18932, 2069, 287, 597, 2066, 2069, 311, 31072, 1943, 287, 21837, 339, 3181, 1606, 287, 11825, 384, 7339, 549, 12957, 2279, 15076, 309, 5068, 5098, 12176, 469, 986, 10392, 11600, 15545, 287, 469, 5769, 285, 19066, 485, 17998, 339, 2858, 2573, 298, 3073, 50192, 347, 1168, 311, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 11628, 31, 8756, 3117, 308, 644, 339, 3815, 7031, 25366, 2039, 1756, 17548, 205, 23702, 18, 40465, 643, 18, 5828, 205, 1066, 358, 36449, 617, 32, 3368, 11842, 309, 2901, 18793, 7435, 1560, 9184, 2039, 1756, 17548, 205, 5952, 2384, 1976, 10634, 781, 3815, 7031, 47065, 25366, 2039, 1756, 17548, 1141, 26004, 14304, 31, 311, 3234, 2959, 7313, 4601, 43854, 497, 5722, 25366, 5828, 20, 205, 4255, 2384, 1976, 10634, 663, 14596, 3172, 18039, 615, 2257, 311, 2303, 19, 4514, 40465, 977, 10784, 8957, 1114, 1697, 15598, 11695, 7313, 4601, 10346, 16150, 3042, 39989, 2039, 1756, 17548, 5369, 45024, 852, 2607, 2760, 464, 1141, 3547, 11030, 11849, 1757, 10074, 852, 2607, 8976, 2901, 1141, 21757, 830, 615, 5262, 11843, 2895, 339, 5145, 4438, 664, 10074, 546, 14029, 311, 9653, 5230, 7975, 12966, 3042, 1687, 852, 13934, 7272, 309, 10260, 6822, 25366, 5828, 596, 205, 2672, 936, 16260, 1317, 17632, 387, 16019, 753, 10074, 6375, 508, 483, 2658, 27148, 22520, 18039, 9215, 4484, 3815, 6685, 47065, 309, 5351, 5613, 379, 14726, 1069, 11061, 309, 15131, 1901, 12615, 41718, 27821, 1021, 1072, 15131, 3137, 43823, 27821, 1021, 1072, 15131, 8277, 28064, 27821, 1021, 717, 3309, 12383, 309, 15131, 2161, 12935, 4790, 27821, 1021, 826, 11077, 14906, 10872, 27821, 1021, 826, 11077, 666, 20715, 1215, 27821, 1021, 826, 11077, 15924, 4938, 27821, 1108, 205, 632, 21979, 12647, 10621, 763, 44846, 39989, 2039, 1756, 17548, 298, 712, 13514, 2607, 15131, 6581, 4248, 15667, 1021, 24635, 15131, 3137, 5216, 15667, 1021, 12898, 621, 15131, 8277, 3268, 15667, 1021, 24635, 15131, 2161, 12935, 1944, 8650, 298, 24635, 15131, 14906, 1120, 8650, 298, 24635, 15131, 666, 20715, 1128, 8650, 298, 24635, 15131, 15924, 899, 8650, 20, 205, 1377, 9166, 1758, 9166, 1758, 20077, 1186, 36449, 617, 1596, 1353, 12249, 1796, 298, 1596, 1353, 10063, 2039, 1756, 17548, 298, 898, 2384, 1976, 10634, 10337, 23379, 5489, 3815, 205, 1526, 1089, 7698, 22994, 5098, 5858, 2039, 1756, 17548, 3246, 1468, 43158, 1043, 1560, 2610, 5858, 2039, 1756, 17548, 5828, 298, 1072, 520, 2843, 825, 20309, 11695, 7313, 4298, 3891, 1991, 311, 712, 3368, 424, 8126, 10544, 2577, 14356, 1827, 309, 2039, 895, 205, 4174, 28111, 10337, 648, 1069, 11061, 4258, 308, 1572, 39989, 2039, 1756, 17548, 4110, 26567, 6271, 2319, 1703, 3234, 11695, 7313, 298, 712, 3191, 397, 2690, 32494, 32604, 428, 9056, 925, 311, 35719, 46471, 13650, 380, 309, 1243, 15339, 1353, 298, 1437, 565, 13771, 339, 1449, 37120, 4491, 339, 39967, 6469, 7313, 309, 36309, 2368, 298, 3201, 2551, 5009, 20045, 20935, 339, 8303, 23070, 29472, 304, 1671, 2055, 3152, 27783, 339, 5538, 2675, 895, 205, 1377, 1758, 20077, 1186, 36449, 617, 10337, 286, 3294, 1317, 3343, 11061, 2284, 26234, 25668, 561, 2384, 1976, 10634, 46392, 2162, 1141, 9056, 8044, 1792, 361, 481, 16766, 3014, 298, 1198, 16661, 18038, 359, 339, 2838, 2313, 7313, 8761, 39500, 19738, 5695, 2704, 339, 10150, 520, 6469, 4016, 35291, 15824, 895, 205, 6809, 2384, 1976, 10634, 384, 347, 9703, 3815, 7031, 2064, 597, 26968, 872, 8650, 20045, 4930, 12858, 311, 1640, 11061, 611, 9727, 5160, 4077, 12317, 1363, 332, 390, 5230, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 98, 43788, 852, 637, 98, 205, 18549, 700, 205, 3021, 29850, 32, 11486, 205, 10985, 4182, 32, 16140, 21, 11556, 21, 19445, 205, 98, 20152, 32, 23633, 387, 498, 17079, 498, 7530, 3911, 1663, 18, 5828, 1351, 32, 788, 47059, 2801, 3233, 205, 3538, 475, 387, 498, 17079, 498, 205, 3286, 1937, 597, 35336, 10462, 10691, 841, 205, 1405, 2207, 309, 8171, 12728, 287, 3737, 39633, 1775, 3073, 3472, 592, 28756, 282, 2142, 41200, 2334, 1514, 822, 334, 287, 311, 375, 830, 28756, 282, 2142, 41200, 1006, 17191, 2522, 5722, 498, 287, 1063, 12728, 395, 17282, 469, 395, 17282, 596, 287, 469, 295, 10975, 469, 395, 17282, 596, 1035, 825, 1373, 330, 20293, 617, 1013, 326, 1778, 596, 287, 971, 13787, 20313, 2396, 22208, 2603, 596, 37072, 311, 3472, 592, 28756, 282, 2338, 309, 300, 14817, 39977, 596, 287, 1937, 311, 375, 830, 28756, 282, 2142, 1031, 4490, 5583, 596, 287, 469, 295, 10975, 469, 26685, 596, 7320, 338, 32541, 498, 596, 205, 266, 1063, 3080, 11165, 12728, 565, 45887, 1449, 18063, 309, 17079, 38967, 637, 287, 3287, 10667, 498, 596, 205, 3286, 10462, 19601, 10691, 841, 205, 648, 3721, 347, 23582, 7015, 47346, 359, 287, 28786, 18329, 359, 287, 6311, 757, 49401, 359, 287, 48988, 359, 596, 287, 2294, 14835, 19267, 347, 461, 6987, 1121, 637, 287, 19267, 347, 23391, 359, 3276, 637, 596, 1038, 311, 1063, 18085, 2237, 27093, 4344, 31757, 359, 287, 1787, 388, 311, 3101, 287, 5017, 8252, 10930, 637, 2207, 11857, 27314, 541, 462, 6068, 9156, 3069, 1288, 728, 309, 7320, 27490, 287, 12891, 637, 848, 8252, 20, 205, 266, 798, 15067, 18085, 2237, 27093, 287, 5627, 397, 311, 3265, 2804, 866, 3721, 597, 571, 347, 354, 8256, 2284, 469, 11676, 637, 2447, 309, 8171, 1264, 354, 8256, 802, 359, 2284, 469, 11676, 6359, 2270, 637, 848, 2119, 309, 4603, 282, 596, 287, 311, 571, 469, 567, 3260, 520, 27338, 3663, 287, 567, 498, 17079, 498, 596, 205, 402, 24948, 3057, 311, 6457, 10404, 287, 11524, 311, 9161, 781, 1807, 596, 287, 461, 2676, 347, 309, 571, 781, 9161, 3397, 27387, 32163, 287, 5382, 10832, 397, 597, 4766, 287, 733, 15166, 287, 1948, 310, 309, 3474, 596, 205, 266, 311, 520, 7067, 47662, 3057, 4094, 1373, 311, 26931, 3069, 3057, 46378, 287, 11524, 34720, 4805, 14489, 17288, 30570, 1373, 4081, 359, 596, 287, 311, 571, 3057, 371, 568, 712, 301, 27123, 611, 922, 3550, 12104, 1352, 15371, 596, 287, 311, 571, 3057, 5013, 3361, 311, 21055, 287, 876, 1963, 15323, 309, 1102, 1837, 772, 3149, 384, 41306, 753, 1373, 596, 287, 311, 520, 7067, 3057, 371, 568, 712, 3430, 476, 568, 48231, 1889, 359, 461, 32096, 586, 2549, 24502, 4081, 359, 309, 3057, 1500, 596, 287, 311, 520, 7067, 3057, 6890, 780, 712, 25459, 1373, 384, 10188, 924, 384, 21239, 924, 384, 4355, 924, 384, 11109, 772, 30657, 384, 1186, 2270, 637, 848, 2119, 36167, 764, 309, 1373, 772, 34565, 380, 311, 571, 4697, 45079, 596, 287, 311, 7067, 47662, 9999, 3057, 43701, 287, 4779, 1373, 339, 43701, 2100, 13313, 287, 44019, 596, 287, 311, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 6270, 16646, 205, 26, 4602, 28, 205, 4514, 19, 11091, 19, 23177, 205, 15349, 9942, 2165, 12302, 298, 16494, 6507, 339, 10058, 41809, 13893, 1186, 1915, 13327, 20710, 23512, 298, 1937, 597, 523, 205, 47501, 461, 4587, 2810, 2004, 2548, 1991, 505, 8883, 6785, 2458, 424, 6425, 298, 1038, 309, 571, 38501, 850, 2736, 9055, 23005, 541, 2033, 309, 24062, 24617, 309, 6774, 16870, 41246, 227, 156, 239, 346, 288, 295, 346, 156, 239, 1621, 282, 346, 288, 337, 599, 320, 420, 319, 346, 626, 346, 263, 346, 267, 413, 497, 882, 599, 284, 413, 497, 2205, 599, 282, 346, 287, 346, 320, 346, 272, 413, 497, 283, 346, 288, 294, 346, 284, 420, 156, 239, 346, 283, 420, 267, 346, 412, 1218, 276, 346, 288, 322, 420, 267, 463, 330, 413, 267, 463, 274, 413, 263, 463, 283, 413, 435, 463, 263, 420, 267, 420, 319, 346, 5634, 297, 346, 314, 420, 267, 463, 227, 156, 233, 346, 263, 463, 301, 346, 281, 463, 277, 346, 156, 233, 413, 497, 297, 346, 290, 463, 320, 346, 267, 413, 497, 294, 420, 291, 346, 272, 463, 276, 921, 283, 420, 267, 346, 2205, 599, 282, 420, 287, 346, 272, 346, 286, 413, 369, 420, 282, 420, 287, 346, 314, 420, 267, 463, 301, 413, 276, 463, 274, 413, 263, 463, 297, 346, 156, 233, 346, 285, 413, 263, 463, 383, 413, 628, 413, 526, 413, 295, 346, 263, 463, 266, 346, 357, 420, 285, 413, 263, 463, 227, 156, 233, 346, 288, 301, 346, 367, 463, 156, 233, 420, 263, 413, 334, 346, 287, 346, 156, 233, 346, 288, 301, 413, 367, 463, 156, 233, 346, 263, 413, 334, 13224, 65, 6875, 30, 19, 6875, 31, 10089, 920, 311, 48882, 5160, 1247, 8932, 2033, 6359, 2270, 637, 848, 2119, 10337, 1341, 463, 274, 346, 267, 420, 276, 413, 497, 370, 599, 276, 463, 277, 346, 337, 463, 263, 413, 569, 420, 284, 346, 303, 3771, 351, 346, 357, 413, 497, 32, 227, 156, 239, 346, 288, 383, 346, 286, 413, 369, 346, 2205, 599, 282, 420, 287, 346, 263, 346, 288, 340, 413, 267, 599, 654, 351, 346, 357, 7186, 403, 1218, 272, 463, 285, 413, 294, 420, 10414, 599, 282, 3771, 287, 346, 1592, 1218, 291, 463, 272, 6700, 287, 346, 284, 346, 274, 463, 156, 233, 413, 400, 599, 281, 463, 286, 420, 337, 599, 274, 420, 156, 239, 338, 346, 272, 599, 263, 346, 2205, 599, 282, 413, 322, 420, 156, 233, 599, 288, 294, 420, 357, 463, 291, 346, 284, 25956, 287, 346, 290, 346, 285, 463, 156, 233, 413, 412, 1218, 276, 346, 288, 298, 287, 346, 290, 346, 285, 463, 156, 233, 413, 283, 346, 357, 420, 337, 463, 156, 239, 346, 274, 420, 401, 3771, 287, 346, 734, 599, 266, 346, 156, 233, 1218, 156, 239, 227, 156, 239, 346, 266, 463, 263, 346, 713, 599, 291, 463, 281, 3771, 287, 346, 284, 346, 320, 463, 281, 413, 337, 463, 263, 413, 291, 463, 305, 346, 267, 346, 303, 420, 337, 463, 263, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 367, 2744, 12234, 2215, 515, 20, 18228, 20, 788, 30, 6696, 1128, 15974, 3259, 12304, 494, 5523, 4921, 32178, 15, 2113, 1455, 4322, 700, 34001, 8239, 494, 23, 1195, 205, 38588, 1316, 32, 5088, 3998, 500, 24847, 7195, 14411, 205, 17857, 515, 205, 9879, 37416, 4233, 1775, 309, 2298, 852, 5685, 8239, 339, 2045, 10153, 20, 205, 1911, 5179, 561, 15362, 733, 1675, 493, 1457, 4322, 283, 15341, 16224, 20098, 428, 12032, 1145, 424, 428, 8880, 387, 7763, 7490, 15503, 20, 205, 17857, 509, 205, 8721, 25402, 611, 1222, 23866, 309, 5354, 23912, 3741, 671, 309, 14342, 29424, 7263, 1324, 4021, 2315, 12846, 3451, 6693, 20, 205, 17857, 899, 205, 402, 6811, 309, 1393, 7195, 11477, 304, 42486, 12846, 20, 205, 17857, 1128, 205, 731, 1657, 493, 1457, 331, 344, 1851, 339, 12735, 4738, 1214, 30607, 5376, 6693, 14706, 11464, 1796, 5741, 473, 925, 20, 1121, 762, 461, 20658, 339, 4327, 3689, 48372, 21816, 8386, 3811, 5705, 379, 855, 339, 2880, 502, 5475, 319, 9543, 2337, 596, 205, 11831, 6698, 3234, 27302, 15412, 1271, 5139, 329, 13949, 1634, 2879, 156, 239, 3890, 19440, 7621, 6546, 704, 646, 697, 6948, 940, 2872, 46671, 9593, 13949, 8567, 411, 6948, 940, 9821, 1330, 13763, 464, 17004, 28401, 748, 8023, 530, 830, 7389, 530, 3552, 1578, 1093, 1060, 2279, 29214, 2071, 35355, 18773, 37177, 549, 537, 37177, 2134, 43436, 298, 4005, 7763, 7490, 15503, 8355, 347, 4130, 24148, 6703, 5159, 34107, 493, 1455, 18282, 428, 461, 22942, 19129, 303, 1102, 40087, 3890, 424, 5538, 494, 24, 1195, 205, 17857, 1120, 205, 378, 2263, 14312, 664, 3804, 3497, 1675, 48535, 397, 5286, 493, 5371, 41210, 7652, 5608, 1942, 6091, 2290, 4974, 367, 470, 611, 8976, 424, 5880, 424, 733, 48747, 46867, 1457, 4762, 2315, 4435, 561, 1830, 20608, 20, 205, 17857, 1425, 205, 327, 1406, 2298, 852, 1243, 5685, 10156, 1121, 1733, 5230, 7482, 309, 493, 1457, 4322, 20, 1121, 347, 17571, 309, 753, 14668, 5420, 5478, 311, 4497, 2553, 350, 397, 5286, 9282, 17444, 311, 1113, 887, 13340, 14909, 20, 205, 8292, 8302, 2556, 520, 14668, 5371, 48535, 20, 546, 3311, 309, 14668, 8469, 10768, 309, 11417, 370, 5154, 10632, 17039, 44458, 379, 1991, 505, 7459, 2625, 4974, 1896, 319, 424, 9237, 19695, 298, 855, 8118, 387, 493, 17571, 309, 512, 2149, 311, 7014, 1202, 38934, 401, 309, 520, 5685, 1428, 38448, 2921, 20, 205, 17857, 1643, 205, 401, 1049, 611, 5175, 424, 611, 13443, 384, 2340, 379, 798, 462, 2188, 8883, 311, 571, 14937, 7232, 381, 29975, 20, 205, 38588, 1698, 32, 2348, 8720, 8239, 205, 17857, 1351, 205, 20330, 3139, 9821, 19440, 6692, 2805, 8239, 13027, 2290, 10567, 322, 3278, 2643, 3299, 1253, 2333, 339, 42864, 841, 205, 23, 20, 40924, 339, 1675, 1457, 4322, 298, 19786, 309, 347, 971, 16224, 20098, 17595, 1176, 2284, 1646, 424, 5880, 29282, 390, 10587, 1330, 428, 12032, 1145, 1457, 4322, 9985, 765, 205, 24, 20, 8219, 6965, 1330, 16592, 309, 11069, 1072, 3325, 6199, 3949, 537, 379, 1183, 24452, 390, 1462, 1567, 1434, 13752, 5124, 14909, 924, 40924, 339, 1675, 520, 6965, 765, 205, 25, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 17078, 1741, 34013, 428, 35540, 31975, 311, 13657, 2035, 1117, 4709, 1404, 793, 3819, 17748, 2405, 6038, 1331, 4683, 17506, 205, 10712, 6677, 13692, 637, 16120, 205, 263, 420, 267, 4992, 3298, 31975, 1137, 15330, 380, 2035, 21807, 205, 15993, 3842, 9780, 586, 3628, 287, 31824, 561, 2745, 31975, 287, 2745, 6757, 287, 7872, 682, 205, 21796, 5288, 2956, 1653, 205, 3532, 311, 1832, 3509, 1598, 6215, 287, 46547, 10667, 3032, 311, 17250, 2832, 1006, 37694, 7160, 287, 29032, 334, 205, 21796, 5288, 2956, 1653, 205, 8, 303, 1416, 497, 973, 1166, 380, 1160, 1816, 21746, 2806, 3512, 359, 311, 1027, 637, 21094, 2214, 11529, 8, 205, 35929, 4364, 2177, 49341, 10628, 25330, 311, 3198, 387, 32857, 645, 18374, 5963, 637, 1887, 762, 2197, 3309, 578, 6260, 3276, 637, 2270, 637, 848, 2119, 993, 384, 7521, 1486, 663, 698, 640, 309, 23055, 2142, 47397, 39348, 36202, 311, 26115, 924, 311, 3276, 637, 2270, 637, 848, 2119, 339, 39348, 28221, 4140, 12515, 1609, 384, 768, 6935, 993, 2014, 578, 309, 2804, 1072, 37754, 339, 3276, 637, 2270, 637, 848, 2119, 297, 2198, 32857, 384, 2157, 1486, 8052, 359, 309, 26115, 457, 1173, 13870, 1245, 18374, 48141, 19406, 2097, 1908, 986, 1383, 1373, 11521, 9765, 45294, 339, 3276, 637, 2270, 637, 848, 2119, 1072, 15453, 32857, 429, 3023, 311, 50154, 920, 12282, 520, 6054, 32, 205, 8, 303, 1416, 497, 973, 1166, 380, 1160, 1816, 21746, 2806, 3512, 359, 311, 1027, 637, 8, 205, 1405, 32, 19142, 32, 7810, 462, 588, 4640, 380, 3603, 32, 205, 8, 276, 316, 7810, 12891, 497, 2809, 20899, 500, 3866, 497, 1693, 11913, 5907, 1140, 11617, 14859, 16389, 1747, 39832, 8, 205, 21796, 5288, 2956, 1653, 205, 263, 5250, 909, 10624, 27275, 287, 27661, 205, 290, 3121, 469, 2652, 805, 1783, 450, 8842, 29522, 43383, 6716, 682, 4709, 14220, 12301, 309, 3068, 575, 18116, 10906, 205, 24927, 309, 571, 347, 12227, 1783, 450, 717, 15987, 10624, 567, 1047, 637, 645, 32930, 13915, 541, 34067, 4103, 528, 5963, 637, 1887, 1630, 1598, 2804, 717, 34067, 1345, 1629, 13915, 4103, 3708, 848, 2111, 1630, 1598, 11373, 20, 287, 505, 36646, 2214, 32930, 13915, 2334, 716, 526, 24796, 1006, 505, 266, 6613, 1277, 339, 2804, 541, 351, 657, 42458, 20, 205, 9129, 1404, 309, 14714, 31975, 27275, 205, 14, 23, 15, 205, 7087, 6757, 841, 461, 16726, 1975, 1121, 309, 3484, 11051, 298, 287, 3779, 31975, 841, 461, 22394, 33836, 1121, 309, 3120, 528, 596, 205, 14, 24, 15, 205, 7087, 6757, 841, 461, 20675, 309, 2230, 637, 772, 7023, 3708, 43557, 287, 18996, 21765, 379, 287, 3779, 31975, 841, 461, 20675, 309, 2230, 637, 772, 7023, 10895, 287, 33245, 311, 345, 311, 6997, 596, 266, 663, 2373, 373, 267, 373, 288, 347, 17141, 31975, 567, 3708, 3881, 358, 43557, 26035, 20, 205, 14, 25, 15, 205, 577, 4486, 1414, 35960, 5268, 384, 37842, 11636, 765, 287, 2401, 31975, 1414, 35960, 6428, 5268, 384, 37842, 11636, 20, 287, 663, 2064, 309, 1895, 8842, 327, 4054, 47046, 339, 30586, 469, 462, 1414, 310, 2522, 5268, 384, 37842, 11636, 10906, 287, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 277, 801, 19199, 309, 3856, 205, 277, 801, 19199, 494, 22970, 1676, 7212, 32, 2390, 4088, 17196, 26569, 21339, 76, 3220, 79, 41706, 15, 567, 11042, 11519, 3856, 798, 19822, 2449, 19199, 387, 1085, 4519, 309, 21822, 3856, 20, 19199, 6124, 19583, 309, 3856, 298, 1530, 3312, 4733, 300, 801, 282, 339, 4940, 3464, 3442, 359, 924, 3312, 339, 4940, 691, 1370, 309, 1393, 3711, 446, 17984, 342, 801, 20, 205, 19739, 4598, 13061, 352, 65, 20182, 67, 205, 19, 2689, 42985, 309, 4940, 733, 37640, 15982, 1743, 5365, 20, 205, 19, 46291, 4940, 339, 2786, 3526, 350, 20, 205, 19, 11791, 4535, 4940, 14698, 384, 695, 488, 424, 4515, 11567, 406, 20, 205, 19, 13858, 37616, 3039, 4535, 8130, 8969, 12083, 284, 23460, 3997, 294, 39791, 2264, 4722, 4940, 20, 205, 19, 2738, 4940, 6667, 15960, 1108, 205, 19, 798, 505, 15173, 5617, 37318, 28493, 6024, 5617, 3722, 47934, 20, 205, 19, 309, 3392, 15173, 5682, 23454, 4940, 3581, 309, 5273, 331, 22547, 20, 205, 19, 16505, 4957, 6199, 29215, 552, 488, 304, 309, 11293, 45634, 20, 205, 19, 811, 700, 971, 17197, 22989, 9759, 8726, 20, 205, 13029, 4598, 13061, 352, 65, 20182, 67, 205, 450, 1285, 4598, 13061, 352, 1622, 34829, 10696, 339, 2786, 344, 6466, 13061, 352, 3257, 11997, 5429, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 13612, 13393, 11750, 205, 21606, 841, 205, 648, 2301, 3865, 588, 4199, 332, 7474, 18148, 742, 298, 20012, 41975, 901, 17179, 309, 31812, 3587, 1795, 7058, 13393, 387, 2957, 20939, 20, 4804, 13117, 397, 20351, 3247, 5795, 311, 16684, 309, 1900, 816, 24835, 20012, 23830, 28234, 846, 3924, 20, 205, 2067, 266, 2805, 1991, 359, 884, 3998, 424, 1412, 676, 14441, 663, 295, 435, 430, 267, 1145, 5473, 298, 287, 3699, 848, 347, 2579, 22453, 3741, 1540, 17432, 332, 298, 1041, 2226, 45411, 1020, 357, 1373, 4110, 12290, 277, 14321, 13830, 22442, 11656, 8720, 1330, 13982, 298, 1198, 24894, 2855, 5941, 48262, 8781, 18, 6467, 22226, 4440, 339, 3623, 48262, 428, 43841, 2229, 24075, 298, 1114, 5478, 309, 8312, 332, 11726, 1483, 327, 359, 2990, 16290, 20012, 44214, 20, 205, 364, 567, 24835, 11750, 2035, 205, 1406, 4905, 24835, 2829, 611, 7118, 15384, 848, 12963, 46689, 24659, 428, 9639, 2838, 1490, 298, 1991, 884, 520, 6523, 24659, 19911, 424, 748, 19911, 18, 47052, 8608, 506, 15384, 848, 21774, 21225, 4129, 2946, 32902, 49464, 1176, 33704, 20, 205, 1150, 2147, 311, 493, 9083, 347, 24835, 11750, 663, 825, 26271, 359, 25526, 25949, 23488, 428, 9639, 3649, 4863, 5838, 5779, 298, 424, 5838, 4775, 28557, 1330, 424, 1176, 298, 424, 825, 24835, 26271, 359, 1106, 1220, 19172, 21900, 428, 9639, 3649, 4863, 5838, 5779, 424, 5838, 4775, 28557, 424, 4053, 2520, 428, 3932, 1008, 4108, 5744, 7603, 8608, 506, 596, 205, 10569, 347, 40334, 12056, 24835, 384, 4276, 12056, 676, 841, 48262, 11419, 379, 7058, 32583, 27597, 379, 7058, 32583, 1567, 379, 7058, 32583, 9486, 596, 9994, 378, 2183, 332, 28563, 359, 1474, 2693, 841, 205, 40596, 1493, 841, 48262, 11419, 841, 205, 449, 1179, 14831, 32583, 11419, 1102, 13161, 428, 7652, 387, 3394, 1750, 906, 37186, 49347, 23625, 1141, 5185, 8797, 7490, 7047, 6655, 829, 282, 298, 842, 9210, 841, 205, 23, 15, 1310, 7380, 1216, 931, 841, 205, 3639, 3024, 1951, 6375, 7380, 1216, 931, 3506, 34001, 309, 10182, 6478, 1212, 5871, 3394, 384, 3722, 2338, 7340, 2017, 359, 384, 3426, 10775, 3275, 311, 8413, 10775, 4472, 558, 772, 4504, 384, 10688, 17822, 2333, 5066, 14449, 311, 3129, 424, 1384, 18, 424, 7455, 347, 3394, 663, 34108, 309, 7883, 4254, 1114, 1174, 532, 309, 35859, 298, 3583, 505, 918, 5041, 23187, 2676, 329, 2338, 3298, 309, 11561, 2888, 5475, 309, 11561, 3506, 298, 5021, 461, 2076, 298, 13560, 10760, 5292, 359, 49654, 298, 424, 12165, 359, 2905, 41120, 298, 424, 762, 13502, 311, 2974, 384, 2974, 298, 842, 1646, 384, 1051, 16982, 390, 4942, 309, 1591, 931, 18828, 1180, 4097, 18, 1437, 469, 2579, 384, 1310, 4900, 15508, 2138, 1921, 1750, 3307, 931, 3625, 298, 1833, 15384, 848, 4607, 3828, 35686, 1694, 1933, 1330, 20, 205, 24, 15, 34815, 3394, 387, 3807, 931, 5553, 1467, 841, 205, 442, 6389, 3024, 34815, 3394, 387, 3807, 931, 5553, 1467, 567, 17386, 387, 3807, 931, 11096, 805, 311, 746, 3501, 286, 2498, 298, 424, 20964, 387, 2190, 10439, 23625, 424, 4335, 761, 339, 1560, 748, 2613, 424, 20079, 309, 26201, 18, 2240, 21566, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 15023, 16091, 4374, 8831, 27856, 332, 387, 6056, 19457, 16091, 5737, 2953, 11032, 523, 2353, 2399, 5640, 7469, 1641, 205, 23506, 1333, 1351, 5461, 7073, 283, 205, 47469, 4209, 21, 21169, 205, 290, 1767, 2399, 5640, 7469, 1641, 1494, 2420, 17974, 4405, 597, 44235, 2406, 3374, 311, 746, 28976, 743, 6209, 45644, 1186, 3236, 4127, 5043, 2539, 4405, 3664, 5922, 748, 13854, 8198, 5569, 26168, 528, 1047, 637, 3236, 20, 205, 1377, 14125, 5337, 309, 7469, 1736, 609, 2635, 339, 2399, 9478, 446, 19485, 10594, 9731, 597, 9807, 41385, 1596, 2638, 5569, 390, 4127, 20, 205, 10068, 3362, 7204, 4574, 387, 2657, 31460, 156, 239, 347, 9478, 23725, 33449, 746, 1216, 8291, 26853, 11804, 955, 284, 1292, 1768, 7445, 298, 6729, 347, 14432, 31171, 45644, 4127, 8228, 497, 44718, 5314, 6100, 2420, 17974, 4405, 20, 8695, 14984, 19376, 23826, 347, 5582, 1420, 6917, 34821, 488, 469, 7517, 49167, 309, 7394, 3344, 646, 1429, 20, 205, 2141, 5199, 334, 743, 9533, 34821, 488, 24290, 2522, 2406, 36269, 5640, 7469, 1641, 298, 7637, 497, 47172, 424, 10993, 512, 7445, 14101, 424, 4557, 309, 9478, 20, 205, 914, 347, 14933, 1428, 2539, 4405, 15700, 781, 2297, 38593, 15518, 3570, 43433, 298, 2122, 565, 5635, 9478, 2064, 2236, 8401, 18782, 311, 746, 11731, 20, 205, 4337, 3628, 498, 1066, 19832, 288, 309, 7122, 3873, 4144, 3101, 3007, 2986, 339, 6347, 9596, 8079, 21810, 9478, 469, 462, 4044, 339, 8618, 387, 6028, 3068, 5702, 1001, 474, 2663, 3088, 2916, 761, 19765, 19032, 9478, 20, 1437, 469, 4299, 25918, 282, 895, 205, 9989, 19243, 16987, 4214, 347, 5043, 2539, 4405, 3664, 15722, 31254, 6535, 855, 4909, 311, 28495, 11118, 319, 309, 7469, 1020, 27006, 339, 4176, 387, 19569, 24890, 2420, 17974, 20, 9897, 14125, 5337, 2177, 403, 8596, 347, 12117, 1177, 9478, 2759, 562, 4441, 486, 6783, 43762, 1312, 20, 205, 2141, 933, 5569, 1047, 13239, 7890, 11149, 5659, 2406, 2830, 9221, 1092, 8661, 4127, 3786, 3029, 964, 2191, 387, 12126, 469, 462, 1995, 27527, 1069, 1312, 311, 5980, 1462, 2638, 2516, 8495, 4275, 1762, 298, 9779, 2197, 11908, 805, 2657, 5199, 20, 205, 44939, 4127, 5371, 1537, 26696, 11987, 282, 5314, 2140, 2719, 9264, 8408, 4472, 4275, 1186, 7906, 2177, 5309, 14169, 528, 1548, 369, 309, 2640, 474, 1199, 20, 205, 6283, 571, 19730, 2776, 10378, 3506, 10293, 2578, 16091, 4374, 551, 580, 23825, 524, 765, 8464, 2129, 961, 298, 3444, 7428, 428, 7029, 27856, 19457, 16091, 387, 7232, 3717, 11032, 20, 2122, 498, 327, 3444, 2197, 7176, 24755, 753, 8443, 19825, 9552, 387, 3529, 38909, 4069, 8198, 11149, 35521, 28085, 387, 6056, 1497, 19457, 2177, 16091, 4374, 5737, 4370, 2953, 11032, 20, 3754, 551, 493, 17571, 567, 13540, 8570, 3152, 38364, 11032, 339, 2045, 8775, 596, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 1405, 11343, 1002, 600, 298, 15167, 388, 1758, 12950, 339, 4401, 2247, 6403, 3202, 298, 347, 611, 469, 3779, 275, 13343, 2234, 2694, 1609, 347, 1758, 12950, 339, 14614, 332, 24779, 2116, 924, 457, 31421, 298, 748, 3290, 388, 723, 312, 2196, 311, 2209, 298, 3006, 347, 18368, 13343, 9779, 2197, 3779, 275, 347, 2220, 1758, 12950, 567, 678, 45459, 339, 1186, 2080, 2849, 551, 4980, 2740, 388, 21189, 12950, 567, 678, 45459, 339, 2490, 1189, 205, 1707, 1002, 600, 298, 347, 13343, 2694, 1609, 802, 347, 1005, 23233, 339, 2283, 27186, 311, 1758, 12950, 339, 298, 567, 33716, 379, 3754, 2330, 1232, 714, 304, 7141, 1994, 2357, 2166, 291, 27987, 908, 571, 20, 205, 3511, 1002, 600, 908, 21493, 37108, 3420, 390, 1804, 678, 9714, 3119, 639, 339, 3658, 13432, 298, 347, 3818, 311, 18368, 3844, 567, 8188, 678, 402, 4111, 686, 639, 46213, 1758, 12950, 22465, 465, 298, 12534, 15134, 5182, 8470, 24190, 1281, 29616, 2040, 7335, 20, 205, 4174, 15167, 388, 12950, 339, 298, 347, 2429, 3459, 42484, 2234, 15107, 493, 25137, 462, 14517, 3096, 3250, 600, 24673, 2293, 1492, 12950, 763, 26922, 1467, 36977, 15243, 473, 339, 469, 27967, 584, 451, 311, 9349, 37004, 20, 205, 7338, 3105, 12555, 13343, 12506, 22490, 615, 922, 2757, 762, 1033, 24551, 339, 5852, 6959, 1038, 4697, 5490, 561, 15292, 3689, 379, 3006, 384, 762, 7968, 3138, 3689, 379, 717, 762, 462, 821, 536, 309, 3844, 3486, 21889, 1053, 596, 205, 7338, 1063, 28392, 4785, 1186, 19982, 541, 8846, 3844, 387, 1310, 11771, 282, 311, 18319, 12555, 4401, 2247, 6403, 3202, 379, 1038, 469, 609, 11976, 6244, 284, 811, 29170, 379, 5742, 762, 309, 2149, 469, 798, 3138, 3689, 4985, 12950, 339, 309, 3168, 17375, 11615, 2376, 13067, 366, 1058, 578, 678, 751, 952, 639, 10914, 2195, 18931, 339, 5040, 596, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3618, 568, 309, 10486, 2110, 19881, 1033, 24080, 17478, 4433, 9289, 15749, 924, 19922, 384, 2676, 332, 3885, 379, 11512, 577, 567, 841, 469, 3138, 2345, 493, 412, 543, 424, 23987, 2035, 6356, 2781, 27802, 359, 2264, 2617, 637, 2035, 390, 1427, 762, 795, 24080, 17478, 4433, 9289, 15749, 596, 205, 15349, 2736, 205, 29402, 493, 412, 543, 461, 2597, 311, 2661, 3817, 637, 379, 1273, 567, 27656, 15749, 379, 330, 2015, 414, 17478, 883, 3866, 3757, 1487, 23858, 571, 379, 1041, 34698, 373, 280, 8829, 21213, 30934, 841, 205, 25090, 841, 3663, 825, 584, 2944, 359, 16945, 379, 4153, 377, 3507, 2270, 637, 848, 2119, 841, 494, 461, 10582, 855, 584, 859, 1760, 10596, 2177, 10628, 40740, 494, 6048, 11504, 15, 42944, 27371, 309, 498, 2613, 2214, 40740, 498, 205, 7079, 3064, 5984, 311, 5626, 520, 2434, 379, 517, 947, 22029, 12956, 596, 205, 22966, 841, 3663, 825, 309, 28259, 10241, 2097, 376, 865, 424, 11522, 5160, 379, 8637, 2460, 1979, 1555, 35453, 347, 971, 339, 2786, 2534, 621, 311, 6694, 2418, 4153, 377, 10708, 309, 30604, 387, 1783, 1226, 2097, 376, 865, 1395, 352, 5160, 379, 34646, 2270, 637, 841, 494, 311, 10241, 1221, 377, 2338, 2364, 1760, 10596, 1901, 11051, 494, 6453, 3466, 1760, 42944, 27371, 596, 205, 30423, 841, 3663, 825, 309, 28259, 322, 33019, 28891, 637, 2207, 841, 494, 287, 346, 156, 233, 346, 288, 301, 413, 286, 463, 272, 420, 281, 413, 497, 322, 420, 267, 599, 282, 413, 227, 156, 233, 346, 288, 227, 156, 239, 413, 291, 420, 276, 1621, 337, 463, 263, 413, 286, 463, 272, 420, 281, 420, 319, 346, 1760, 39868, 21, 4027, 23, 596, 205, 32983, 599, 272, 346, 281, 841, 29860, 311, 4915, 1856, 309, 1013, 3026, 596, 205, 569, 605, 2549, 28781, 267, 3349, 13189, 339, 520, 2434, 23700, 379, 366, 3204, 2802, 16209, 379, 424, 11392, 387, 9447, 840, 373, 1825, 379, 1114, 461, 971, 4035, 384, 1449, 311, 571, 379, 3565, 1260, 46101, 493, 1856, 424, 31083, 309, 31195, 366, 1897, 424, 4465, 782, 36379, 379, 19940, 13065, 1019, 39117, 39755, 596, 205, 17728, 6928, 596, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 23074, 3665, 2863, 2156, 205, 4793, 4251, 5982, 14022, 47368, 24944, 7952, 23537, 1982, 10091, 4992, 1697, 6510, 29747, 7802, 6631, 39848, 339, 13981, 5582, 45897, 16410, 21647, 280, 28313, 1993, 11565, 516, 4479, 1143, 2643, 309, 1982, 10359, 852, 5036, 3781, 16524, 541, 588, 849, 2888, 633, 1982, 2848, 8622, 1600, 18, 2535, 1685, 390, 7013, 18334, 2133, 2572, 4219, 40799, 852, 9084, 2026, 3302, 35848, 2012, 2584, 608, 32222, 852, 5691, 17518, 852, 16535, 493, 18, 1915, 2518, 8828, 3547, 1394, 311, 14792, 2026, 10359, 852, 295, 18524, 5528, 18005, 1575, 14022, 7987, 7006, 660, 1397, 7286, 319, 9465, 33960, 852, 1005, 1182, 2836, 3379, 11125, 10506, 387, 8196, 2026, 11450, 9728, 280, 21508, 3798, 311, 746, 753, 11927, 1368, 609, 9916, 1759, 14792, 2026, 11450, 6467, 3231, 702, 6608, 20603, 852, 2348, 24571, 24402, 35967, 309, 611, 7323, 44282, 1982, 18, 39356, 16658, 852, 6604, 309, 6121, 2116, 390, 5782, 753, 7684, 924, 7171, 325, 6010, 852, 3665, 424, 2107, 8626, 428, 27996, 2846, 32509, 1982, 20, 205, 734, 415, 4579, 1943, 309, 1982, 205, 21316, 14376, 811, 838, 446, 46227, 3842, 31681, 461, 758, 2447, 311, 3875, 23181, 8852, 309, 6019, 24938, 1943, 28642, 20, 11686, 2846, 1982, 8092, 4125, 541, 301, 9733, 2907, 311, 16086, 9905, 4125, 18, 1459, 2907, 309, 1982, 5744, 6019, 22590, 6747, 10359, 852, 6166, 30249, 33158, 309, 1307, 2101, 1956, 6166, 29222, 34405, 309, 1307, 1582, 541, 4480, 14468, 2797, 41930, 2616, 15166, 14877, 1041, 2226, 309, 1982, 9320, 999, 539, 327, 8678, 309, 6011, 4493, 17682, 24138, 42313, 561, 3179, 6173, 2506, 1982, 311, 4700, 25179, 2907, 20, 746, 493, 884, 1982, 2941, 811, 311, 46696, 6505, 309, 2907, 309, 2069, 1215, 10490, 4992, 4096, 1455, 8104, 6229, 332, 36276, 274, 1982, 39510, 387, 2360, 4723, 18, 1041, 462, 34036, 1982, 733, 493, 2226, 1273, 12835, 3913, 311, 7147, 303, 2691, 309, 4961, 8707, 3336, 1473, 25665, 563, 12794, 1763, 3965, 8804, 2616, 15166, 14877, 6508, 566, 382, 311, 14649, 287, 9355, 7147, 303, 287, 8557, 1428, 3291, 1762, 563, 12794, 2117, 4820, 7286, 11097, 339, 2518, 5367, 18434, 2094, 9905, 4125, 339, 2907, 309, 1982, 752, 12835, 1805, 9164, 6419, 311, 2907, 36151, 339, 3020, 1370, 3379, 12276, 339, 3222, 370, 487, 836, 304, 1198, 1482, 296, 17407, 13356, 1428, 1982, 9326, 311, 3842, 1796, 1978, 791, 428, 8408, 7511, 11865, 18, 700, 7903, 11988, 9905, 4125, 920, 7540, 10738, 26740, 33062, 13453, 8092, 4125, 9357, 4037, 282, 25483, 26699, 1547, 7005, 16163, 752, 3817, 7453, 1703, 1582, 7453, 309, 1982, 1468, 838, 27861, 12496, 490, 311, 712, 7007, 1943, 1437, 469, 505, 3058, 8801, 11301, 1331, 2602, 29103, 1836, 1041, 12231, 469, 41352, 933, 2094, 1858, 3115, 4176, 852, 1675, 922, 1459, 2907, 370, 751, 20, 205, 47990, 1982, 12328, 5084, 9474, 205, 11091, 5828, 6291, 1768, 37073, 6265, 8453, 28642, 597, 9347, 3268, 13930, 597, 2346, 1747, 399, 570, 682, 4259, 8967, 2907, 309, 1805, 18, 5461, 19445, 16658, 5853, 23054, 23181, 745, 397, 1830, 28642, 20829, 5782, 30788, 287, 29438, 311, 6082, 9236, 5658, 2810, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 10882, 23898, 9552, 339, 11542, 205, 290, 10274, 12051, 339, 6631, 311, 2096, 319, 6518, 2341, 3671, 311, 8328, 8367, 7490, 19361, 5804, 8939, 1074, 2252, 13527, 12759, 7406, 2819, 298, 31563, 25590, 347, 7406, 2819, 461, 3062, 1260, 5790, 14032, 288, 359, 339, 1637, 1216, 20218, 1051, 5720, 298, 878, 16839, 1993, 298, 25115, 15272, 298, 880, 23424, 603, 5179, 1865, 17808, 227, 156, 239, 413, 263, 1873, 16160, 1135, 2366, 309, 6278, 7406, 2819, 838, 311, 7442, 298, 1579, 3629, 3824, 24048, 561, 1135, 541, 533, 19755, 2026, 339, 7406, 2819, 24798, 39243, 205, 266, 27294, 3824, 7096, 561, 1135, 541, 36727, 309, 6278, 7406, 2819, 24798, 31017, 268, 112, 6922, 880, 520, 3824, 462, 3312, 309, 24548, 13766, 1032, 21159, 38649, 298, 15183, 311, 571, 298, 5709, 3824, 8939, 561, 1135, 541, 666, 1873, 339, 7406, 2819, 28120, 349, 2538, 20, 3062, 347, 9806, 309, 5944, 7406, 2819, 22449, 332, 1985, 309, 12303, 6777, 5804, 8939, 1074, 2252, 2925, 5464, 20, 7825, 753, 34511, 384, 5591, 40051, 2819, 309, 2385, 309, 39934, 1072, 9950, 1993, 596, 2307, 4311, 9539, 762, 1315, 4608, 24103, 17937, 309, 5464, 866, 7603, 39243, 18107, 24414, 1458, 3312, 1565, 2813, 298, 9697, 298, 866, 13460, 7406, 2819, 1458, 588, 8579, 3347, 311, 8835, 1838, 27418, 3295, 20, 205, 15644, 1293, 311, 571, 298, 6851, 7406, 2819, 347, 4578, 44257, 1889, 1021, 38375, 7091, 2520, 347, 5155, 996, 6114, 13851, 9289, 2543, 596, 287, 32432, 19691, 8801, 2290, 339, 12090, 39243, 309, 7406, 2819, 1915, 7603, 39243, 428, 24988, 282, 20, 31717, 4202, 428, 15107, 3824, 561, 5191, 9147, 911, 1297, 682, 347, 5191, 3504, 14493, 339, 8887, 9147, 996, 7603, 39243, 379, 1114, 825, 5548, 3385, 40051, 2819, 2213, 311, 2611, 3504, 9147, 298, 2289, 4310, 359, 469, 3024, 4375, 309, 7406, 2819, 811, 3688, 838, 494, 10782, 7001, 4310, 359, 469, 5623, 5554, 14609, 311, 3107, 10852, 481, 1195, 842, 4973, 1051, 298, 663, 825, 5548, 40051, 2819, 339, 7118, 2538, 1915, 26549, 6810, 298, 1038, 1168, 311, 7406, 2819, 5750, 8795, 21668, 311, 5511, 1833, 4310, 359, 469, 1738, 376, 1173, 339, 19298, 24618, 24414, 20, 390, 12861, 309, 5873, 39635, 561, 6278, 7406, 2819, 24798, 39243, 298, 354, 1349, 561, 14694, 10455, 16541, 1379, 298, 1891, 339, 10040, 6161, 1993, 18668, 996, 4908, 4873, 7603, 1033, 11047, 609, 39691, 596, 205, 266, 814, 1304, 21576, 875, 347, 2026, 1006, 31862, 7406, 4113, 32753, 1458, 694, 728, 497, 22294, 32753, 4873, 20, 309, 8881, 25629, 8303, 347, 493, 8293, 567, 1053, 30845, 20, 26383, 2925, 4202, 347, 9652, 1053, 33832, 4253, 4113, 32753, 1524, 298, 2561, 2496, 2522, 384, 5804, 339, 4348, 9224, 2925, 4339, 20, 2401, 11837, 8881, 20356, 561, 7406, 4113, 32753, 24798, 39243, 390, 17940, 1385, 6609, 596, 1833, 4311, 347, 17940, 1006, 6278, 497, 7406, 4113, 1008, 4375, 462, 7760, 497, 2065, 311, 7118, 11760, 581, 309, 4464, 8278, 1070, 27106, 298, 597, 6278, 7406, 4113, 1486, 339, 2832, 17940, 29178, 27106, 40612, 15843, 298, 14898, 33882, 682, 772, 29095, 27106, 6378, 20, 205, 1997, 677, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 4319, 608, 21406, 841, 205, 402, 4511, 451, 8500, 7627, 311, 1337, 42212, 14766, 995, 1750, 8627, 285, 1428, 13444, 9846, 309, 6959, 1830, 311, 9210, 841, 205, 2347, 20, 1881, 18894, 451, 8500, 14963, 2963, 2290, 1880, 22281, 16898, 592, 2491, 2463, 15087, 28609, 21645, 3572, 528, 331, 608, 32, 205, 16, 24510, 3585, 21406, 205, 16, 2556, 36674, 13489, 6340, 23272, 563, 1946, 21406, 205, 16, 24510, 4182, 205, 16, 5723, 7631, 311, 14105, 6340, 4329, 15950, 205, 2511, 20, 4759, 21406, 384, 311, 3575, 5840, 339, 18978, 332, 22532, 21406, 26863, 303, 2790, 32, 205, 16, 13351, 3343, 31527, 205, 16, 20208, 5352, 205, 16, 10430, 6340, 205, 4806, 20, 7339, 5411, 4240, 45413, 8500, 32, 205, 16, 2661, 13489, 205, 16, 10137, 16459, 31527, 205, 16, 11104, 311, 28165, 205, 16, 6159, 4126, 205, 16, 34098, 205, 16, 10008, 311, 6285, 205, 5584, 20, 5936, 6806, 18917, 17868, 275, 205, 5572, 20, 4753, 3807, 21406, 309, 611, 5170, 26047, 20, 205, 7088, 20, 2086, 6569, 205, 38381, 18894, 451, 8500, 745, 1045, 18526, 17868, 275, 309, 3480, 11945, 428, 5185, 739, 1920, 1919, 1183, 311, 615, 2031, 3755, 3848, 40938, 6461, 3682, 1019, 842, 520, 6569, 42864, 32, 205, 19, 6569, 8500, 32, 205, 290, 1070, 1646, 5352, 32, 205, 12704, 1658, 512, 2371, 311, 5352, 4718, 4407, 4932, 2035, 2152, 7689, 1216, 3254, 5352, 2035, 205, 276, 1070, 1646, 1135, 32, 205, 1011, 37184, 21406, 29697, 541, 5750, 282, 12019, 792, 2035, 1741, 2911, 570, 10963, 2035, 287, 469, 676, 42148, 2035, 205, 43151, 30424, 8248, 1813, 16688, 37554, 865, 332, 2035, 205, 296, 1070, 3824, 561, 3234, 2880, 9388, 18800, 32, 205, 1011, 4083, 21406, 12722, 309, 3316, 424, 30606, 2035, 205, 280, 1070, 5604, 31985, 3366, 32, 205, 8860, 156, 233, 18665, 2035, 3406, 18198, 2035, 20144, 2035, 390, 1777, 19549, 7052, 283, 10607, 761, 2035, 205, 8860, 1070, 5604, 1412, 29111, 7251, 32, 205, 1011, 5155, 21406, 311, 6619, 12186, 2035, 3406, 11323, 390, 571, 2035, 27862, 156, 233, 7288, 7091, 205, 11164, 1350, 49630, 10746, 12186, 2035, 205, 266, 1070, 4047, 28590, 11576, 311, 3568, 494, 9388, 15, 841, 205, 2940, 4811, 21406, 339, 2190, 16150, 27070, 3091, 7028, 27075, 428, 1848, 23609, 30514, 309, 28165, 205, 364, 32898, 493, 2761, 5108, 4770, 11146, 1019, 20, 205, 19, 4031, 748, 8500, 841, 205, 409, 3699, 339, 18894, 451, 347, 2589, 21406, 309, 4874, 8516, 826, 4511, 9248, 528, 4408, 3682, 428, 1145, 20732, 332, 309, 3480, 8331, 21406, 746, 347, 14939, 22872, 16233, 359, 3339, 359, 925, 379, 1072, 753, 3340, 26302, 21406, 309, 16056, 18762, 480, 4477, 309, 5637, 5345, 7174, 424, 14703, 6467, 946, 41118, 384, 38989, 1698, 311, 22355, 920, 22355, 8263, 6241, 13378, 2175, 474, 20, 205, 290, 19, 27098, 4811, 32, 205, 1066, 7328, 5407, 311, 31337, 6646, 28984, 309, 3325, 1694, 21406, 19044, 8331, 332, 2749, 428, 663, 4469, 384, 22672, 332, 424, 24505, 3807, 332, 12162, 596, 205, 276, 19, 816, 13258, 3498, 6692, 2805, 32, 205, 1773, 18894, 451, 4350, 21406, 309, 4473, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3534, 11667, 4618, 9579, 44141, 9064, 32267, 1180, 13313, 298, 16444, 498, 4933, 309, 29383, 8, 2145, 19148, 43973, 344, 3512, 1833, 609, 373, 23086, 857, 310, 373, 1495, 359, 1315, 32576, 384, 2445, 37225, 34485, 462, 1227, 18622, 793, 11620, 14226, 918, 1763, 277, 473, 14848, 20, 205, 808, 28423, 298, 5909, 640, 4113, 34485, 43973, 344, 3512, 498, 4933, 309, 29383, 8, 9331, 309, 6159, 15539, 282, 3201, 1033, 2788, 14533, 26080, 424, 40915, 20, 205, 8, 4933, 309, 29383, 8, 311, 7328, 3387, 16059, 1286, 500, 42688, 1186, 44141, 12689, 1037, 364, 298, 1486, 311, 5352, 347, 803, 1777, 443, 3023, 1159, 1952, 298, 880, 43973, 1482, 2663, 14185, 7305, 6069, 1943, 309, 3152, 1742, 20, 205, 1156, 9803, 11472, 1677, 15543, 33434, 42311, 838, 29521, 578, 654, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 19, 205, 14199, 4243, 4221, 18224, 3411, 4049, 205, 14199, 4243, 4221, 18224, 3411, 4049, 2156, 3107, 841, 16372, 8556, 403, 361, 348, 205, 25367, 4737, 3902, 7173, 9160, 339, 611, 311, 227, 156, 239, 413, 1710, 1467, 21797, 39929, 311, 493, 2074, 2142, 8427, 5331, 397, 15583, 8477, 461, 39794, 512, 1222, 1121, 597, 18318, 2197, 2788, 2395, 430, 3902, 2182, 493, 1053, 10226, 311, 3227, 10945, 345, 20058, 15941, 13133, 23075, 7171, 2089, 39929, 802, 596, 205, 569, 23920, 5942, 387, 493, 2074, 5478, 493, 2074, 309, 1626, 645, 16343, 294, 28550, 2166, 285, 672, 311, 5478, 309, 1516, 4542, 424, 4936, 424, 772, 2470, 8113, 20543, 3773, 23117, 2610, 1699, 2847, 2074, 1487, 347, 5290, 3602, 8181, 15983, 8524, 461, 20923, 32574, 6789, 424, 7593, 11878, 424, 12796, 33798, 309, 11689, 297, 8735, 11248, 6620, 520, 676, 11689, 428, 2158, 1145, 30098, 29972, 748, 2127, 2263, 309, 4205, 380, 5052, 1957, 424, 16791, 311, 2679, 6229, 282, 5634, 5801, 18919, 387, 494, 286, 15, 311, 4738, 1991, 18902, 424, 2289, 19856, 387, 3212, 4519, 18538, 5664, 2510, 12266, 4519, 387, 11248, 3573, 3602, 15162, 11764, 1212, 494, 309, 2323, 1117, 708, 26090, 1117, 34760, 10466, 782, 1117, 301, 686, 11545, 550, 282, 1117, 418, 1760, 30570, 17288, 691, 4623, 7976, 292, 321, 1487, 2788, 294, 494, 13261, 1760, 596, 205, 3532, 21183, 1833, 14540, 339, 21047, 24195, 996, 18670, 461, 19967, 512, 505, 309, 11597, 1532, 864, 577, 2516, 21662, 311, 3773, 530, 3820, 45431, 17849, 3227, 49431, 1331, 1937, 462, 17088, 3254, 424, 3714, 2610, 717, 695, 3751, 10357, 2829, 461, 595, 11333, 512, 2610, 3663, 597, 18318, 2264, 430, 3902, 596, 205, 26048, 15735, 3096, 31706, 42061, 3397, 1331, 2156, 39368, 205, 281, 7345, 461, 10877, 18865, 7493, 9227, 380, 9200, 1840, 390, 2573, 2557, 1117, 11915, 461, 803, 2399, 9227, 311, 493, 2074, 309, 2470, 4542, 42030, 31666, 388, 5826, 535, 626, 503, 39244, 357, 339, 2961, 814, 319, 1530, 1117, 11915, 611, 493, 20079, 309, 3114, 2381, 2116, 35224, 339, 2128, 39512, 469, 462, 2188, 571, 781, 3413, 986, 7949, 20165, 277, 1035, 2297, 6621, 1038, 2986, 1384, 12847, 48280, 45081, 10791, 6492, 8326, 3556, 16574, 339, 11112, 311, 11724, 45431, 5634, 12068, 2046, 311, 13085, 1614, 339, 44322, 309, 1035, 424, 8013, 1121, 3703, 1281, 1331, 596, 205, 4027, 21, 3466, 21, 20703, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 290, 3523, 2581, 520, 6215, 1072, 16655, 1835, 2619, 453, 339, 26639, 7188, 25900, 498, 318, 3544, 8, 205, 442, 752, 24532, 309, 700, 10176, 287, 384, 752, 5534, 397, 5103, 1333, 6928, 347, 520, 6215, 26663, 287, 3404, 21730, 1333, 1741, 7863, 1790, 27968, 309, 5990, 654, 205, 19870, 1223, 27084, 6309, 311, 12020, 3655, 359, 15932, 772, 4516, 19678, 1046, 39474, 462, 5700, 22425, 1108, 1273, 21404, 1467, 1230, 311, 1373, 287, 6447, 397, 6236, 1281, 309, 1665, 311, 872, 2774, 1670, 2520, 287, 11396, 1033, 9044, 332, 339, 13422, 397, 287, 1891, 6086, 397, 24809, 9609, 19498, 43937, 10930, 637, 205, 1469, 6447, 397, 768, 782, 22249, 287, 8116, 38492, 884, 34102, 561, 2704, 15932, 18, 205, 43524, 21329, 1270, 25475, 1230, 311, 7067, 23999, 287, 20496, 791, 1333, 1434, 571, 6002, 676, 9493, 3556, 20, 205, 318, 3544, 26318, 1230, 298, 6948, 967, 4140, 1230, 20, 4555, 12830, 309, 9744, 2110, 6278, 411, 33072, 20, 462, 23738, 12536, 339, 7184, 8413, 4179, 29521, 761, 35849, 1860, 2533, 20, 611, 5520, 15133, 2682, 309, 1907, 8853, 282, 9101, 6228, 298, 855, 10042, 347, 2586, 467, 5980, 8477, 5040, 800, 28097, 838, 20, 205, 4591, 2093, 26639, 32528, 1486, 13246, 2312, 15932, 906, 796, 41232, 4263, 18, 1072, 4450, 505, 2093, 12810, 36471, 1159, 3958, 298, 1041, 462, 354, 952, 435, 339, 38610, 596, 205, 327, 877, 30566, 1121, 347, 36062, 611, 311, 7387, 309, 1891, 32528, 311, 15598, 287, 708, 10249, 287, 2325, 10666, 339, 469, 6059, 21643, 311, 3630, 344, 7158, 309, 3612, 1875, 12042, 3753, 2895, 8289, 263, 311, 26926, 397, 339, 7213, 25803, 838, 5325, 520, 3753, 20, 205, 8257, 4101, 32528, 205, 10989, 580, 345, 494, 281, 460, 608, 15, 21273, 39, 38829, 25, 83, 4252, 205, 18549, 1875, 205, 3447, 529, 494, 306, 1266, 47878, 15, 21273, 76, 2444, 71, 12289, 78, 79, 205, 17851, 1875, 205, 7449, 560, 371, 358, 21273, 44, 22126, 20248, 56, 46430, 205, 402, 27606, 205, 277, 6031, 494, 49733, 15, 21273, 53, 9223, 22995, 46, 83, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 277, 17119, 298, 461, 12523, 1804, 19082, 1844, 1324, 35678, 3417, 11660, 428, 4572, 469, 3196, 384, 6369, 25402, 2140, 458, 6884, 1104, 298, 5895, 4176, 384, 7188, 6884, 6261, 18799, 2259, 1150, 726, 20, 205, 277, 17119, 738, 2440, 9040, 12351, 493, 4317, 1259, 20, 20853, 339, 4119, 7161, 397, 23963, 20388, 1176, 20, 205, 6306, 7189, 1176, 3696, 339, 227, 5610, 6706, 47858, 20, 4446, 205, 5187, 802, 7016, 309, 7161, 397, 1176, 977, 3985, 2634, 298, 43020, 4119, 7161, 10937, 2162, 2557, 384, 4729, 20727, 2634, 20, 205, 21817, 43020, 7161, 397, 1176, 977, 3985, 2634, 205, 3066, 325, 10937, 2162, 40479, 384, 838, 311, 20054, 5691, 1040, 785, 977, 1962, 397, 309, 3137, 298, 563, 6673, 561, 1168, 311, 4782, 13526, 309, 872, 3140, 1837, 20, 205, 8823, 2682, 1005, 4119, 658, 45643, 309, 12340, 298, 1833, 6784, 8243, 397, 311, 11501, 2016, 8260, 22, 298, 838, 7492, 18388, 309, 785, 20, 10940, 2065, 387, 9157, 15208, 2023, 397, 42041, 1248, 309, 571, 35648, 1176, 309, 7598, 1493, 298, 9130, 819, 12106, 1583, 16244, 5324, 309, 2340, 4327, 1921, 298, 2552, 454, 14210, 10399, 309, 12340, 27683, 339, 1830, 12174, 20, 205, 468, 790, 339, 4119, 28021, 384, 3399, 10318, 10937, 2162, 11555, 3337, 298, 44397, 339, 2065, 311, 1682, 1040, 3521, 10937, 2162, 20, 205, 1553, 6830, 31308, 339, 205, 22078, 14037, 7117, 3985, 2634, 205, 21646, 5103, 10937, 2162, 20, 872, 4078, 11830, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 822, 296, 4209, 21, 43916, 738, 205, 25981, 274, 27224, 1271, 156, 239, 1143, 309, 3291, 14877, 5569, 27617, 16185, 348, 565, 469, 1697, 805, 9120, 8114, 309, 4052, 4368, 1756, 309, 2870, 311, 2911, 1138, 339, 1758, 16208, 4374, 45143, 379, 498, 450, 607, 5345, 25882, 31538, 321, 794, 1038, 2243, 637, 8, 494, 987, 266, 16184, 1195, 205, 3232, 27617, 16185, 348, 339, 21024, 11276, 1861, 1993, 10428, 5713, 32, 498, 364, 1697, 805, 781, 19393, 8758, 9860, 1610, 6233, 311, 2911, 1138, 339, 1758, 16208, 4374, 45143, 9320, 5345, 25882, 31538, 321, 794, 1038, 2243, 637, 2899, 26307, 339, 1959, 10753, 390, 3295, 43226, 3656, 551, 36104, 1667, 311, 4048, 5006, 311, 2832, 1006, 1712, 726, 334, 28957, 13309, 6520, 628, 3295, 38952, 2397, 637, 309, 1837, 1463, 380, 29440, 3801, 791, 38256, 309, 1515, 3295, 3688, 10984, 361, 895, 205, 5479, 32, 498, 274, 38106, 516, 5269, 390, 27321, 1758, 16208, 4374, 45143, 1411, 469, 2725, 558, 781, 311, 381, 430, 3250, 2300, 46947, 2989, 5876, 2870, 5232, 4118, 551, 27303, 331, 569, 617, 9180, 30204, 29440, 895, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 364, 3138, 3368, 1474, 5095, 19756, 5315, 32062, 1165, 19505, 311, 1394, 311, 2251, 712, 1832, 611, 1222, 13876, 5181, 5252, 4890, 10203, 359, 1072, 2095, 611, 1782, 23575, 32062, 339, 1005, 26245, 309, 7702, 6870, 469, 20682, 611, 4863, 7211, 384, 347, 6041, 611, 1500, 11623, 282, 1212, 2156, 6356, 493, 6247, 6432, 677, 848, 25167, 2035, 205, 15349, 2736, 205, 8868, 359, 841, 205, 3588, 11689, 35845, 2247, 5481, 4738, 379, 1165, 5740, 5038, 561, 3265, 1427, 379, 4856, 380, 339, 8829, 332, 596, 205, 2672, 27876, 1998, 2214, 17064, 7880, 637, 841, 387, 5581, 311, 31645, 8895, 309, 2095, 611, 1782, 18057, 5181, 311, 1856, 311, 28031, 2233, 6062, 11911, 4519, 2364, 379, 1072, 2512, 1698, 28029, 11911, 1180, 7211, 772, 6041, 2704, 11623, 380, 26985, 733, 2620, 2519, 2350, 379, 5076, 3138, 16759, 309, 571, 654, 205, 18456, 3823, 841, 205, 8, 3428, 309, 571, 4021, 379, 920, 12899, 1232, 1081, 37807, 19475, 20429, 8182, 379, 1114, 2058, 309, 571, 1307, 2880, 5052, 4510, 8448, 272, 1622, 1293, 304, 8829, 571, 379, 2197, 1081, 311, 9821, 6134, 2476, 1593, 414, 596, 205, 17728, 1476, 11710, 498, 8589, 13424, 387, 498, 830, 11741, 13283, 8, 494, 24, 21, 26, 4712, 15, 596, 205, 9626, 359, 841, 205, 3532, 673, 285, 1919, 33298, 516, 339, 2935, 520, 21371, 841, 205, 23, 19, 311, 4237, 984, 4694, 359, 5810, 2158, 3512, 359, 379, 43473, 1145, 44781, 379, 14242, 848, 347, 1662, 856, 332, 379, 1595, 3537, 567, 469, 12138, 12647, 33319, 311, 2964, 379, 424, 1120, 13007, 33319, 311, 18453, 596, 1093, 369, 4776, 311, 1515, 13857, 1856, 35410, 596, 205, 24, 19, 311, 21404, 20131, 359, 1750, 44781, 379, 1232, 48185, 359, 387, 1856, 1316, 379, 8637, 3298, 282, 387, 1282, 30080, 424, 40499, 424, 11675, 379, 3069, 4776, 558, 338, 1911, 359, 6419, 359, 8753, 16399, 798, 8589, 338, 346, 266, 463, 156, 233, 413, 282, 379, 4523, 347, 2471, 1031, 384, 1040, 469, 9937, 311, 8760, 3898, 379, 772, 7023, 25167, 2704, 309, 1216, 1500, 379, 920, 2095, 1040, 1856, 1316, 379, 6526, 663, 13735, 25167, 1856, 1698, 17703, 359, 379, 746, 4779, 44781, 379, 1437, 26437, 596, 205, 25, 19, 311, 505, 558, 2745, 339, 6425, 379, 1486, 23863, 42351, 494, 808, 2918, 288, 24614, 294, 760, 327, 558, 309, 22438, 1760, 2905, 1031, 347, 1662, 16399, 733, 4769, 1178, 9361, 379, 3565, 8669, 1610, 1790, 596, 205, 26, 19, 311, 505, 848, 2745, 379, 17574, 8760, 379, 2905, 1031, 347, 1662, 856, 21140, 733, 4769, 1178, 44781, 379, 1027, 347, 227, 156, 239, 413, 37653, 1610, 379, 339, 11153, 291, 311, 41216, 4510, 596, 205, 28705, 339, 493, 379, 17037, 369, 309, 25167, 5481, 4738, 717, 2693, 841, 205, 290, 19, 311, 43818, 1856, 20255, 379, 1486, 35611, 2158, 3512, 379, 38545, 347, 2471, 12105, 384, 1040, 8760, 921, 3898, 9937, 379, 19130, 347, 19967, 805, 338, 1911, 6419, 379, 924, 1662, 16399, 309, 2095, 493, 44781, 379, 493, 798, 4472, 35410, 384, 2095, 44781, 379, 1937, 1000, 35992, 8760, 4360, 772, 6396, 5490, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 22312, 1462, 2337, 781, 3624, 11912, 1040, 2140, 3138, 8188, 2038, 440, 288, 359, 13371, 26845, 309, 1626, 19245, 298, 9257, 2693, 2158, 1818, 841, 205, 290, 2198, 4595, 645, 10695, 645, 10571, 645, 20941, 9751, 544, 494, 286, 5258, 4233, 15, 339, 3743, 7148, 34388, 5306, 4595, 645, 528, 45353, 494, 286, 6595, 4233, 15, 1183, 17859, 11383, 309, 50206, 1750, 8564, 332, 8755, 6625, 5212, 309, 5916, 15851, 311, 4115, 45315, 800, 4019, 1198, 4299, 39471, 1919, 20, 205, 569, 837, 311, 637, 8509, 9559, 1368, 311, 6050, 339, 22902, 9985, 298, 40868, 3678, 2855, 387, 4759, 15679, 2072, 20043, 45513, 578, 298, 15209, 291, 5200, 384, 3541, 1330, 4736, 22998, 36439, 14882, 10454, 3903, 8075, 469, 6158, 2072, 21507, 20699, 848, 25398, 2038, 440, 288, 359, 379, 29147, 2907, 311, 5151, 16118, 842, 3541, 3551, 298, 36436, 1537, 7175, 5913, 34809, 469, 10098, 21507, 359, 29147, 311, 20961, 282, 4436, 22902, 9985, 20, 1114, 609, 2140, 3138, 8188, 2038, 440, 288, 2519, 581, 4595, 645, 10695, 645, 10571, 645, 20941, 9751, 544, 781, 3624, 5982, 19245, 20, 205, 22312, 1462, 2337, 781, 11912, 1040, 2140, 3138, 8188, 2038, 440, 288, 359, 309, 1005, 26845, 309, 2953, 7819, 298, 9257, 2693, 2158, 1818, 32, 8238, 16612, 645, 17293, 308, 645, 1246, 325, 44517, 494, 286, 5258, 4233, 15, 339, 2156, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 18474, 298, 2162, 1104, 1034, 494, 30376, 15, 18129, 3132, 1952, 23978, 2216, 364, 359, 1106, 1501, 1737, 1908, 298, 1579, 6749, 493, 3951, 339, 5052, 10396, 27711, 298, 1720, 45920, 295, 2764, 35681, 615, 21683, 339, 3658, 34674, 4764, 359, 311, 11391, 428, 1697, 925, 10396, 27711, 309, 45775, 7052, 4908, 1665, 311, 28585, 15084, 4362, 428, 9349, 380, 20, 205, 17946, 3419, 10920, 13925, 18046, 42923, 298, 5307, 6266, 334, 298, 26346, 390, 10284, 2134, 298, 480, 961, 24783, 298, 26824, 20697, 2470, 17060, 38145, 11753, 298, 7825, 6266, 334, 615, 7754, 558, 390, 34674, 384, 347, 498, 1099, 327, 359, 5966, 359, 996, 1094, 7746, 298, 12719, 611, 11789, 5267, 6375, 2875, 2134, 15662, 27643, 8, 4836, 1046, 2251, 309, 4700, 17060, 49942, 20818, 2543, 3804, 34673, 339, 4807, 921, 36365, 17199, 21747, 7608, 350, 497, 19506, 20, 205, 2636, 6266, 334, 347, 5932, 19400, 309, 4122, 5893, 498, 284, 554, 16272, 1348, 595, 2251, 311, 5433, 472, 3349, 2568, 339, 18084, 921, 424, 14529, 472, 298, 1720, 11280, 2353, 8288, 12044, 309, 753, 4700, 878, 498, 12821, 5213, 8, 15796, 384, 23344, 309, 6545, 20, 205, 3532, 12013, 46615, 469, 674, 10643, 18303, 12252, 339, 2730, 3194, 498, 296, 378, 22274, 6355, 3723, 8, 8566, 339, 3325, 9058, 6018, 4177, 5847, 29380, 380, 13690, 35905, 339, 3238, 5639, 2316, 428, 311, 6940, 2730, 22854, 498, 277, 1194, 275, 1348, 2100, 469, 13129, 848, 3139, 4164, 20, 205, 33339, 4164, 5369, 26397, 13409, 16020, 6589, 15302, 21733, 7993, 18447, 359, 26458, 14849, 3674, 1021, 1183, 7542, 311, 2303, 5507, 298, 3149, 2449, 2692, 1006, 20782, 339, 12993, 6267, 424, 29668, 384, 9379, 309, 6545, 309, 611, 1212, 298, 11772, 4164, 9106, 3761, 4246, 1583, 14136, 21733, 7805, 1006, 461, 18072, 1856, 37248, 390, 41064, 4246, 298, 1687, 384, 20774, 380, 309, 3504, 34921, 3606, 20, 205, 29092, 359, 8841, 16276, 322, 3216, 48161, 1491, 298, 428, 20026, 42582, 4974, 6272, 14727, 1411, 2874, 31240, 309, 4551, 29768, 2666, 32695, 309, 33325, 680, 20, 205, 1469, 35828, 48161, 1491, 3194, 35672, 563, 1719, 4974, 6272, 2549, 311, 8806, 9743, 35033, 298, 3201, 2589, 4164, 339, 2409, 2396, 24926, 18054, 12162, 7869, 339, 3491, 4254, 10987, 298, 1720, 4359, 48161, 1491, 1046, 498, 364, 10986, 4996, 309, 6545, 311, 2549, 12248, 305, 589, 311, 4689, 4936, 588, 6996, 996, 1007, 6898, 298, 27064, 22789, 3400, 309, 6545, 5097, 21439, 5847, 298, 2307, 2066, 309, 6545, 2364, 22045, 267, 1634, 9846, 895, 205, 487, 1701, 3399, 34674, 21577, 617, 13903, 530, 3458, 298, 17046, 461, 8154, 814, 309, 1197, 34674, 24778, 384, 5145, 7665, 746, 12182, 20, 26881, 21209, 21206, 4430, 13305, 2491, 2929, 1108, 28651, 293, 4005, 872, 8174, 7794, 595, 4427, 298, 390, 24517, 17748, 995, 298, 11235, 384, 4500, 8978, 1248, 15745, 390, 4444, 1055, 1875, 20, 205, 5690, 590, 7272, 6224, 461, 9110, 387, 6194, 1197, 34674, 24778, 298, 1273, 9808, 10077, 2058, 15159, 1053, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 987, 2617, 7746, 311, 494, 648, 2104, 370, 373, 621, 908, 7269, 2613, 6678, 1760, 205, 1699, 328, 15252, 2097, 2413, 1733, 9253, 14175, 10380, 12539, 8261, 205, 50147, 339, 395, 6372, 287, 44488, 205, 290, 910, 274, 5706, 32097, 723, 640, 668, 9671, 32503, 1889, 13523, 1212, 4023, 461, 3558, 9282, 458, 39810, 2680, 832, 20142, 308, 450, 287, 3261, 379, 4539, 469, 45278, 390, 17269, 30630, 753, 750, 519, 478, 42216, 266, 970, 494, 8487, 2364, 2370, 2228, 1760, 12113, 311, 6223, 582, 12460, 879, 747, 596, 2354, 2307, 2799, 529, 395, 6372, 40540, 1606, 1027, 4047, 852, 16225, 339, 637, 2207, 17235, 10731, 30702, 32871, 1806, 3767, 848, 2111, 379, 1271, 6372, 2334, 3302, 16676, 1898, 542, 5092, 35140, 1089, 6596, 387, 36529, 1027, 15134, 291, 29349, 287, 9502, 20, 1530, 8337, 497, 6854, 5647, 3302, 14175, 10380, 4187, 2745, 3261, 23653, 387, 3265, 4336, 20699, 1006, 13815, 1610, 908, 28039, 16413, 380, 18959, 32222, 379, 855, 23555, 21421, 596, 205, 334, 6575, 44488, 311, 561, 36228, 395, 6372, 379, 48321, 497, 38541, 6854, 5647, 3302, 1895, 596, 1232, 1053, 18171, 645, 20408, 4023, 7373, 1254, 7635, 17033, 600, 880, 802, 34225, 18171, 645, 20408, 379, 920, 8284, 2214, 10590, 4023, 9905, 339, 4744, 38672, 478, 5900, 600, 7403, 613, 908, 5186, 379, 908, 1135, 4023, 1269, 809, 1081, 15805, 339, 1353, 32393, 47546, 1019, 15174, 6508, 43888, 308, 10170, 596, 205, 2706, 2652, 497, 8284, 645, 10590, 294, 14, 6335, 1706, 298, 9075, 280, 298, 1852, 348, 298, 1312, 44488, 15, 1434, 571, 11536, 1245, 908, 15174, 2234, 461, 9957, 925, 43697, 379, 18196, 1887, 2214, 7723, 494, 19700, 384, 9502, 986, 415, 1245, 596, 1760, 2122, 1887, 338, 4604, 645, 12481, 797, 14, 469, 43492, 4952, 613, 1467, 298, 6655, 3866, 469, 903, 3866, 596, 15, 13618, 551, 18277, 282, 15400, 567, 3507, 29185, 7141, 15062, 6596, 387, 36529, 1027, 30043, 291, 29349, 287, 9502, 1423, 9850, 596, 205, 44543, 23208, 25210, 793, 1226, 1565, 293, 835, 613, 282, 908, 5186, 14058, 8284, 645, 10590, 7380, 28547, 18715, 24038, 29107, 11999, 33862, 297, 757, 8791, 3481, 24670, 1461, 284, 2105, 32206, 31136, 11807, 809, 319, 339, 20408, 10566, 20, 885, 12421, 753, 469, 46993, 2214, 15638, 388, 494, 19780, 22191, 371, 910, 316, 15, 908, 1867, 8284, 645, 10590, 379, 1063, 1887, 841, 494, 580, 460, 645, 10590, 645, 3172, 1901, 8149, 1117, 505, 8284, 16090, 11543, 670, 1592, 7635, 15861, 924, 4952, 1091, 18171, 645, 20408, 387, 16676, 3265, 3261, 3603, 29185, 14683, 2072, 41877, 1254, 3302, 7635, 1486, 558, 344, 886, 26885, 673, 613, 2156, 15, 205, 8548, 11573, 2214, 15638, 388, 7924, 16236, 1008, 347, 1083, 288, 11999, 33862, 505, 2765, 288, 4153, 460, 908, 5860, 1755, 1427, 746, 551, 5391, 14650, 7014, 379, 1264, 17310, 33199, 4023, 3743, 287, 4034, 9843, 611, 311, 20597, 1467, 339, 2908, 2962, 4577, 347, 23391, 2301, 713, 1095, 49443, 339, 1353, 32393, 10963, 505, 663, 12264, 3529, 852, 8284, 379, 920, 2788, 347, 48758, 461, 4270, 558, 3695, 2601, 28083, 920, 9957, 5314, 6787, 24103, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 205, 205, 29800, 1932, 1949, 8539, 41603, 302, 413, 378, 727, 301, 413, 2481, 321, 13028, 1790, 205, 10062, 1284, 11350, 384, 6758, 4642, 22573, 15340, 828, 1938, 10133, 7618, 3261, 13114, 311, 2137, 17469, 1764, 41603, 21002, 205, 44038, 7744, 21370, 21, 12930, 1316, 10423, 19, 10022, 781, 3194, 11108, 16210, 6618, 1034, 494, 281, 1525, 15, 852, 10711, 1069, 4700, 428, 8903, 3909, 5193, 852, 13914, 7603, 1176, 4775, 1284, 2881, 715, 3695, 408, 21002, 20, 205, 28482, 227, 156, 239, 1356, 1334, 347, 17469, 428, 31822, 761, 26561, 1863, 309, 10941, 25733, 2543, 22324, 4164, 2012, 49382, 309, 7744, 3948, 21, 12930, 1316, 20089, 298, 5578, 8517, 311, 10587, 3498, 2009, 9555, 546, 14885, 5579, 10615, 9061, 7452, 2258, 6683, 36032, 9476, 7870, 3303, 12206, 47113, 20, 205, 1066, 520, 17469, 748, 21856, 298, 748, 347, 8110, 8296, 1145, 4501, 1102, 8296, 14910, 20541, 3457, 24659, 428, 22367, 1145, 520, 17469, 20, 1937, 4298, 541, 31722, 4164, 309, 520, 17469, 2338, 3000, 9114, 311, 615, 5985, 27449, 2881, 3729, 5579, 28902, 761, 20, 205, 2706, 44388, 4164, 4642, 428, 18733, 274, 852, 14110, 520, 17469, 309, 9687, 24861, 1183, 597, 347, 15793, 347, 1168, 311, 828, 1938, 10133, 33826, 20847, 311, 3641, 3828, 12535, 298, 390, 10711, 15398, 2113, 16503, 309, 2258, 6683, 3289, 975, 1051, 1253, 3649, 20, 205, 3511, 2490, 335, 665, 9805, 8564, 2547, 298, 3363, 704, 4833, 379, 4304, 2194, 828, 1938, 10133, 309, 4164, 498, 347, 7481, 676, 3817, 5882, 301, 413, 4121, 1490, 1641, 311, 931, 4016, 34150, 424, 15029, 1248, 3230, 311, 828, 1938, 10133, 36032, 9476, 7870, 2194, 288, 359, 838, 5737, 359, 19372, 4498, 47613, 42486, 3828, 5142, 298, 3804, 5844, 10844, 311, 4515, 2666, 311, 36410, 311, 10133, 45637, 11569, 517, 2484, 15395, 26852, 42488, 1145, 4016, 748, 4873, 895, 7825, 2490, 8564, 2547, 852, 347, 1230, 311, 8296, 663, 4769, 373, 592, 5916, 311, 17469, 852, 14050, 21856, 5371, 5868, 16466, 925, 1703, 7365, 332, 596, 205, 2200, 16645, 10320, 205, 11788, 378, 9234, 359, 852, 5890, 4164, 11277, 1560, 4248, 309, 6545, 311, 4700, 5240, 663, 38523, 615, 3753, 13028, 2110, 309, 4554, 1700, 2726, 26111, 380, 1976, 1248, 34997, 2196, 359, 390, 14050, 13914, 7603, 41603, 21002, 298, 309, 1515, 347, 5216, 309, 6545, 311, 4700, 14262, 28536, 4885, 853, 534, 1138, 2196, 359, 390, 14050, 17469, 298, 1264, 15902, 18, 27, 309, 6545, 311, 4700, 663, 35659, 339, 3347, 753, 9545, 311, 17469, 6865, 20, 205, 9580, 5260, 309, 2194, 828, 1938, 10133, 4775, 1284, 347, 1172, 45696, 811, 2290, 379, 4909, 1264, 6487, 309, 6545, 311, 4700, 5240, 17678, 2846, 359, 498, 24513, 6184, 18805, 6683, 8, 9926, 5549, 1253, 3824, 3695, 408, 309, 3673, 1457, 1072, 5876, 469, 22367, 848, 17469, 311, 9283, 596, 842, 4270, 571, 347, 5793, 20572, 6950, 15168, 2839, 339, 3090, 703, 13942, 7300, 1960, 2667, 1040, 33089, 1264, 46429, 1198, 13149, 339, 3000, 1646, 828, 1938, 10133, 4323, 277, 2258, 6683, 748, 13791, 20, 205, 402, 39968, 2190, 28791, 205, 632, 23876, 3194, 11108, 16210, 311, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 1592, 603, 37746, 373, 1654, 398, 568, 3393, 373, 394, 2540, 541, 4830, 2663, 26549, 205, 280, 20, 15786, 528, 3287, 205, 9418, 1005, 5052, 297, 22224, 863, 2087, 35360, 807, 309, 1867, 4663, 3353, 298, 6562, 384, 2298, 384, 5221, 387, 1282, 25451, 26736, 36946, 20, 20853, 339, 16403, 2684, 428, 26598, 17274, 621, 1191, 897, 22224, 39679, 4825, 7158, 2273, 2537, 298, 4005, 40617, 384, 12125, 963, 6288, 36946, 46596, 298, 13124, 311, 16684, 9793, 996, 22180, 4622, 298, 24305, 339, 4473, 8152, 1161, 32829, 309, 2301, 298, 9173, 359, 384, 4786, 390, 301, 29247, 21147, 19231, 309, 2298, 384, 4022, 20, 205, 9418, 863, 10989, 46382, 807, 10695, 645, 3197, 308, 645, 3387, 285, 298, 1708, 548, 276, 294, 863, 308, 1255, 1610, 807, 5195, 849, 863, 276, 987, 8060, 2436, 287, 807, 9550, 408, 869, 356, 632, 807, 19497, 1226, 301, 593, 320, 578, 294, 807, 2544, 15371, 2436, 3244, 10659, 46603, 16224, 369, 12585, 288, 359, 558, 387, 49011, 319, 5346, 7729, 32, 26421, 1610, 1901, 338, 4604, 2137, 40924, 37746, 21991, 494, 28, 10490, 282, 1542, 4710, 503, 2346, 863, 277, 985, 281, 16227, 807, 309, 44498, 298, 19421, 3222, 25144, 38654, 2072, 1165, 3222, 40924, 358, 2138, 298, 1937, 1807, 2338, 863, 10989, 400, 5051, 40924, 37746, 807, 494, 274, 32, 16878, 25, 282, 1195, 205, 7346, 40924, 37746, 700, 1120, 7553, 282, 339, 12133, 298, 309, 6330, 344, 603, 422, 8108, 15624, 309, 20036, 298, 712, 9713, 32215, 359, 311, 16161, 2438, 2537, 298, 4946, 5212, 339, 322, 1142, 5903, 298, 18937, 339, 323, 20139, 20, 1486, 40924, 37746, 1667, 658, 9031, 298, 1072, 13500, 1091, 12275, 6659, 17377, 349, 517, 1744, 6855, 23227, 20, 1072, 5640, 1572, 282, 2239, 1887, 34671, 466, 2237, 3886, 3507, 387, 520, 2843, 311, 8973, 32, 863, 501, 3309, 35003, 384, 5013, 2592, 2069, 298, 4856, 24610, 309, 658, 9031, 2793, 9774, 5678, 2189, 387, 8174, 6150, 339, 5024, 2436, 924, 1063, 32, 863, 286, 2836, 309, 22601, 282, 309, 1755, 1427, 28380, 384, 693, 16916, 298, 3244, 46872, 46482, 528, 17626, 1610, 399, 1673, 298, 924, 20684, 384, 47373, 921, 3863, 298, 19421, 25144, 298, 1547, 5676, 2364, 298, 17952, 12385, 19949, 10707, 1792, 532, 7058, 2010, 924, 11141, 2682, 9124, 772, 3920, 384, 37681, 775, 5374, 46394, 885, 43405, 1184, 617, 2684, 42177, 1843, 205, 21633, 3773, 2009, 603, 37746, 384, 7521, 298, 712, 15631, 309, 1575, 6668, 11202, 311, 2069, 17055, 31, 340, 298, 3574, 9335, 996, 322, 3278, 1975, 16282, 2214, 3882, 1610, 20, 48751, 309, 4093, 863, 987, 10031, 2436, 297, 19542, 15805, 885, 9444, 4510, 298, 500, 41564, 380, 33405, 2962, 34919, 578, 298, 22371, 309, 2157, 772, 6448, 578, 40530, 298, 17115, 3107, 1347, 13313, 298, 428, 33826, 347, 7948, 13768, 37921, 301, 593, 320, 578, 558, 298, 1006, 5767, 497, 611, 469, 3635, 1073, 772, 19488, 497, 1467, 1560, 15294, 16757, 359, 469, 561, 311, 3156, 46735, 377, 298, 10118, 32, 863, 291, 2052, 398, 35360, 298, 25538, 9331, 298, 29426, 8548, 303, 298, 10603, 1572, 309, 9018, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 1977, 898, 6747, 1191, 1104, 16902, 1942, 17784, 1942, 13564, 528, 8810, 29344, 625, 46537, 753, 6895, 1942, 13564, 528, 5515, 7643, 19386, 2215, 24333, 6708, 10423, 16299, 1459, 2921, 2650, 7643, 19386, 2215, 15902, 6708, 22085, 7004, 205, 10041, 32182, 32, 15656, 309, 4270, 13564, 528, 8810, 42383, 29639, 1457, 8395, 20, 205, 10041, 2368, 32, 390, 8191, 3138, 3316, 12190, 311, 493, 1457, 298, 29687, 469, 3298, 32, 738, 16546, 18463, 21037, 6708, 1215, 10477, 1324, 739, 35889, 22060, 32864, 590, 20, 738, 1457, 2215, 16809, 6708, 35450, 309, 4270, 13564, 528, 8810, 29344, 20, 738, 2093, 898, 3202, 2215, 14304, 6708, 31213, 739, 35889, 9007, 8810, 29344, 13081, 19386, 6270, 16809, 6708, 35450, 12235, 311, 31300, 1457, 2215, 3268, 31, 6708, 35440, 8469, 3503, 20, 738, 2434, 25837, 494, 19048, 20129, 15385, 29335, 2202, 11834, 15, 287, 14, 16108, 20129, 515, 298, 509, 15, 311, 1942, 1459, 2921, 2650, 7643, 19386, 2215, 15902, 6708, 22085, 20, 738, 1457, 2215, 2066, 26, 6708, 13908, 5428, 931, 963, 5788, 704, 19034, 48626, 16212, 959, 28840, 537, 29344, 26350, 936, 7937, 11273, 13564, 7660, 7744, 21, 3466, 21, 20703, 20, 738, 2434, 494, 9330, 14462, 515, 15, 287, 6132, 287, 10539, 311, 1942, 6029, 528, 5515, 7643, 19386, 2215, 24333, 6708, 10423, 20, 3316, 4495, 32, 1036, 23595, 645, 8187, 2434, 14905, 287, 7694, 287, 11628, 311, 1942, 6029, 528, 5515, 7643, 19386, 2215, 24333, 6708, 10423, 2434, 13146, 32, 4292, 14905, 32, 528, 611, 311, 6045, 1731, 2944, 864, 2533, 1438, 4939, 3619, 6870, 15290, 16886, 49587, 528, 21325, 681, 7443, 13666, 1145, 309, 3316, 1643, 311, 493, 1457, 298, 1640, 1550, 6680, 8810, 29344, 428, 31960, 16141, 761, 16212, 959, 1842, 5094, 9227, 25698, 7041, 739, 35889, 13564, 528, 8810, 29344, 2234, 4735, 309, 34768, 761, 2062, 311, 8810, 8469, 10768, 298, 1183, 528, 7285, 541, 48191, 13933, 6822, 2336, 1457, 20, 4292, 7694, 32, 1036, 45572, 469, 40993, 282, 42536, 311, 6029, 9699, 311, 846, 937, 18132, 848, 9779, 2546, 2599, 5035, 5595, 311, 2877, 1698, 311, 493, 1457, 298, 8605, 461, 3619, 528, 520, 13564, 20, 4292, 14304, 32, 461, 28576, 3138, 3316, 11486, 20972, 5267, 311, 493, 1457, 528, 8810, 29344, 38977, 1733, 2689, 369, 15307, 1438, 1451, 20, 205, 10041, 6259, 32, 588, 470, 611, 27753, 18465, 13564, 528, 8810, 29344, 311, 25077, 872, 8356, 13564, 18132, 528, 23119, 282, 29344, 298, 1183, 387, 19151, 11497, 3070, 528, 1867, 931, 2847, 1457, 1487, 10690, 9959, 13564, 311, 27891, 1438, 18217, 26399, 2537, 298, 12752, 484, 825, 11096, 18465, 13564, 663, 4536, 32658, 758, 28519, 18923, 6029, 9699, 20, 205, 10041, 7746, 32, 16840, 1873, 44622, 309, 872, 405, 48847, 428, 462, 23975, 1008, 11007, 2551, 298, 9130, 1152, 1438, 13663, 656, 1752, 872, 9874, 528, 6988, 16243, 1919, 746, 10024, 3911, 2069, 9091, 561, 9821, 12173, 18554, 18465, 13564, 1141, 825, 3260, 332, 5948, 309, 6470, 4619, 16212, 959, 26350, 936, 7937, 11273, 13564, 528, 8810, 29344, 298, 1183, 4560, 884, 4619, 16212, 959, 9700, 5740, 8834, 461, 4687, 4207, 4136, 298, 21205, 1049, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 7998, 458, 3835, 4644, 309, 2108, 10904, 7746, 8818, 4208, 30787, 2420, 4011, 2438, 494, 12769, 15, 781, 10129, 298, 17666, 1164, 497, 2117, 8214, 2532, 309, 2157, 4246, 294, 26488, 20, 205, 497, 755, 367, 274, 11833, 2157, 4246, 309, 2827, 4489, 5643, 28059, 25255, 25656, 6818, 25228, 4489, 35510, 304, 20, 1671, 380, 4669, 1047, 15391, 3236, 18348, 359, 1863, 898, 1307, 3594, 17792, 5336, 30373, 5652, 17625, 18348, 359, 898, 2101, 2043, 5180, 1610, 7319, 20, 205, 770, 291, 409, 9466, 993, 614, 288, 6096, 1927, 311, 4924, 500, 9092, 345, 311, 2108, 12665, 4232, 1168, 311, 1505, 34277, 11230, 1423, 907, 3127, 3682, 298, 48619, 5508, 14446, 3988, 1160, 767, 635, 42480, 1976, 298, 3574, 17341, 17694, 12239, 624, 462, 17597, 24558, 298, 1688, 734, 635, 42480, 12125, 22971, 14889, 20, 205, 442, 8398, 3105, 339, 20900, 11511, 309, 5173, 309, 3043, 3334, 339, 347, 4011, 676, 20005, 2868, 13619, 2465, 298, 21677, 359, 25666, 309, 3480, 2360, 205, 1377, 20900, 10337, 13110, 18546, 334, 309, 3480, 2360, 298, 14215, 4176, 567, 1202, 41597, 1348, 10932, 359, 4048, 1943, 309, 2108, 8101, 2987, 10389, 16102, 5590, 4879, 31561, 49120, 20, 205, 7267, 339, 347, 4644, 1033, 8045, 24036, 359, 309, 512, 5038, 5448, 22099, 298, 3754, 359, 339, 4695, 2572, 11951, 18429, 20, 205, 10390, 4172, 13175, 4489, 1092, 1977, 4078, 3788, 15483, 4644, 309, 2108, 1915, 9600, 1202, 44399, 298, 311, 617, 490, 359, 30057, 43039, 41322, 311, 20033, 4219, 596, 205, 282, 715, 205, 442, 36928, 1063, 385, 20, 23374, 26725, 898, 2101, 2859, 309, 3043, 558, 977, 3687, 43853, 359, 6848, 612, 976, 382, 32, 498, 648, 27555, 5173, 301, 41003, 390, 27555, 20801, 14089, 298, 9867, 311, 3068, 2532, 428, 21638, 13027, 2360, 309, 2044, 3097, 29027, 13786, 298, 34197, 2360, 26104, 4011, 311, 1337, 16776, 4879, 282, 23414, 1202, 4176, 298, 880, 2532, 884, 26976, 387, 39720, 5000, 23985, 800, 4290, 895, 205, 2636, 26725, 384, 347, 2532, 884, 26976, 387, 20033, 2108, 10797, 16824, 298, 43007, 637, 1019, 16748, 41055, 20, 205, 2696, 26725, 347, 11881, 2532, 309, 2397, 1325, 30787, 4372, 1830, 26697, 9210, 347, 2826, 4011, 567, 2494, 10268, 36197, 842, 6047, 14278, 16748, 2240, 347, 1685, 4176, 298, 18355, 8282, 298, 3006, 359, 384, 347, 16748, 4372, 8551, 309, 3346, 20, 205, 20013, 498, 18288, 752, 10961, 13359, 494, 2189, 312, 3217, 19104, 2360, 1542, 12608, 7939, 2581, 30534, 267, 41568, 334, 309, 20033, 2108, 565, 18216, 397, 461, 595, 347, 815, 945, 1940, 41304, 4596, 25825, 1582, 2859, 309, 2108, 298, 565, 1202, 4176, 567, 1202, 41597, 298, 9804, 32354, 2859, 946, 347, 4504, 384, 18088, 578, 517, 3357, 578, 309, 2532, 31423, 38160, 723, 1627, 2652, 280, 1072, 611, 1591, 895, 205, 4174, 498, 290, 35193, 726, 34096, 3544, 4618, 35510, 156, 239, 1040, 4011, 298, 1437, 5824, 347, 3872, 2465, 2112, 3872, 4644, 28328, 895, 205, 2636, 26725, 384, 347, 5173, 15841, 1165, 9906, 2391, 49783, 4468, 2299, 776, 5426, 14555, 838, 1412, 597, 7872, 3653, 309, 7299, 3556, 20371, 20, 205, 18137, 24185, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 761, 632, 5645, 42515, 6231, 630, 3965, 330, 761, 544, 3221, 26927, 311, 6400, 6114, 298, 21208, 311, 347, 719, 440, 1495, 4219, 717, 15095, 28486, 317, 2046, 288, 1259, 513, 16848, 1072, 3057, 461, 719, 2558, 317, 848, 567, 3404, 25568, 309, 1867, 1199, 20, 205, 9784, 18774, 9457, 1209, 332, 513, 5861, 920, 2196, 717, 4972, 578, 309, 18641, 608, 20, 3664, 3109, 9456, 4163, 16966, 3739, 20437, 3766, 32, 205, 8942, 8280, 2093, 3003, 1104, 3653, 541, 2158, 339, 4122, 2848, 3765, 7520, 615, 10297, 9650, 1008, 2643, 24131, 4468, 3113, 933, 2094, 17990, 4236, 1033, 19843, 6476, 6449, 5299, 9793, 390, 2848, 12417, 1756, 298, 12588, 13380, 5559, 561, 3787, 3739, 13916, 41895, 2863, 8869, 390, 4697, 6880, 298, 9582, 681, 6062, 3796, 541, 295, 413, 5476, 8456, 49854, 3059, 347, 13457, 3371, 2349, 405, 1927, 541, 14449, 18041, 1833, 4372, 21847, 4985, 1455, 2094, 3448, 9379, 9176, 298, 1437, 567, 10792, 1864, 49202, 2662, 5892, 5437, 2094, 298, 1165, 347, 6051, 20491, 1878, 339, 3371, 405, 1927, 309, 513, 423, 296, 1919, 1943, 21155, 1560, 4058, 21351, 3234, 1307, 1368, 20, 21694, 5437, 2094, 347, 6051, 4805, 347, 4259, 2863, 1385, 2540, 9802, 318, 8198, 2094, 6862, 497, 2093, 3003, 1104, 8136, 1029, 761, 2110, 4555, 2112, 1253, 2463, 1281, 1038, 41738, 309, 4107, 3478, 13303, 339, 4970, 20, 205, 6321, 1323, 4855, 2033, 5437, 2094, 551, 7316, 288, 359, 5408, 27038, 4970, 762, 9823, 5766, 309, 8347, 8081, 884, 4970, 663, 7761, 761, 10680, 359, 5185, 2279, 680, 10792, 311, 5009, 1307, 3003, 6777, 13134, 4125, 8863, 3113, 48422, 1033, 19843, 25819, 339, 2848, 3765, 7520, 2182, 25149, 282, 5852, 17990, 22590, 298, 7455, 347, 918, 9401, 3738, 387, 8275, 9941, 31008, 12068, 17239, 4888, 2191, 298, 5453, 359, 347, 6051, 3404, 4805, 347, 8527, 9840, 288, 359, 1053, 8456, 311, 4293, 5569, 663, 37501, 339, 13184, 4293, 541, 521, 14181, 2741, 339, 1273, 27774, 298, 1264, 3623, 11254, 2847, 8757, 567, 16019, 13134, 4125, 13473, 2191, 4985, 512, 311, 10662, 282, 3201, 9549, 19154, 4408, 1943, 7272, 309, 2093, 3003, 1104, 996, 6403, 4125, 13756, 2498, 20, 205, 49070, 5437, 2094, 347, 6669, 288, 359, 22603, 28094, 2094, 663, 971, 32586, 561, 3087, 8033, 1796, 39771, 309, 592, 1022, 26975, 2082, 615, 3386, 309, 592, 1022, 2110, 384, 6051, 2662, 3057, 16875, 4890, 4274, 1851, 567, 10259, 4125, 309, 2643, 298, 1264, 6051, 4365, 272, 2846, 359, 3529, 8765, 311, 34832, 6833, 9644, 19914, 6667, 4125, 8052, 359, 4734, 281, 2754, 309, 872, 4392, 1600, 1027, 512, 15569, 298, 1264, 6051, 663, 8903, 5338, 2349, 405, 1927, 384, 5294, 7510, 1368, 9078, 646, 503, 2094, 631, 2183, 405, 1927, 31736, 339, 3234, 2039, 717, 3631, 309, 2323, 3003, 1104, 20, 205, 2354, 3664, 5824, 347, 11439, 608, 40787, 3796, 884, 429, 9395, 3448, 2727, 11997, 2741, 40425, 9158, 339, 3371, 405, 1927, 1165, 19990, 6260, 405, 1927, 33977, 384, 1307, 1368, 309, 2149, 8903, 1172, 571, 20, 16287, 20663, 12452, 2741, 390, 6302, 6231, 630, 3965, 2110, 13495, 7296, 347, 2741, 16328, 2682, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 577, 611, 20492, 3474, 3342, 1421, 11075, 4883, 2581, 781, 18368, 26504, 7705, 311, 3024, 18718, 3342, 8176, 1333, 5008, 1279, 1055, 18368, 26504, 30263, 6679, 1506, 2813, 40368, 1198, 21348, 11663, 356, 4502, 311, 19934, 35690, 717, 4194, 20215, 285, 311, 5419, 2965, 5086, 329, 507, 1506, 2813, 40368, 1333, 27834, 6464, 994, 940, 332, 7705, 2482, 25309, 6669, 332, 885, 2357, 31413, 1333, 5008, 3414, 26504, 528, 1394, 311, 3024, 49251, 10706, 37782, 1994, 453, 3361, 528, 5301, 3320, 309, 1216, 49251, 1165, 311, 18718, 3342, 428, 31937, 332, 2704, 712, 2781, 26843, 49251, 311, 18718, 3342, 27198, 428, 9808, 2447, 24753, 17466, 309, 1083, 7227, 493, 7124, 11172, 1333, 5187, 1055, 18368, 26504, 30263, 6679, 1506, 2813, 4324, 1438, 1279, 3656, 4427, 30263, 6679, 646, 352, 13927, 1324, 1002, 1198, 33659, 13675, 10706, 7058, 449, 1333, 1469, 1279, 28949, 3531, 1842, 2689, 10427, 285, 7660, 30048, 2704, 805, 2867, 26504, 7257, 311, 3024, 18718, 3342, 1421, 11075, 1333, 1469, 1279, 2655, 3474, 528, 2429, 1861, 1993, 10428, 5713, 27704, 4466, 702, 4039, 6759, 428, 1458, 1270, 16679, 692, 507, 5652, 3474, 287, 1023, 761, 1333, 20523, 23151, 5624, 14352, 9282, 20955, 18368, 26504, 311, 3024, 18718, 3342, 1421, 11075, 428, 1458, 17187, 5204, 20163, 2791, 24069, 561, 611, 311, 2941, 380, 717, 15024, 1458, 28220, 311, 5419, 27470, 5086, 329, 507, 1506, 2813, 40368, 541, 8408, 40222, 528, 15733, 596, 205, 577, 726, 3474, 33169, 1519, 841, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3929, 4844, 738, 515, 205, 402, 5053, 49079, 28269, 4844, 32, 205, 45333, 5473, 379, 34012, 15548, 841, 205, 291, 458, 1469, 637, 309, 3212, 494, 3929, 4844, 8623, 205, 334, 26325, 25926, 4844, 841, 205, 39689, 287, 4840, 7328, 3224, 5194, 20, 205, 17946, 347, 493, 2877, 681, 1883, 7723, 9056, 387, 872, 4950, 17469, 428, 49303, 2479, 473, 523, 274, 1349, 309, 12658, 282, 1117, 9056, 309, 30950, 523, 9056, 309, 611, 8633, 4315, 424, 1312, 1117, 3377, 309, 24767, 424, 462, 29490, 1117, 266, 311, 561, 469, 9056, 805, 841, 762, 461, 9554, 330, 36923, 311, 4950, 523, 30059, 5729, 2165, 12302, 5666, 20, 205, 274, 6288, 14947, 5473, 4493, 19254, 34012, 15548, 4910, 311, 27914, 21492, 1117, 4343, 18721, 317, 654, 205, 40373, 317, 347, 6185, 5866, 38833, 2004, 671, 31484, 15769, 424, 16775, 920, 541, 5702, 397, 42246, 397, 347, 41337, 805, 1117, 4662, 5866, 38833, 3303, 37020, 26348, 2144, 6961, 2941, 2004, 671, 21492, 424, 50032, 156, 239, 20, 205, 23522, 567, 6315, 4844, 21492, 2035, 8078, 571, 4343, 7039, 3043, 4844, 654, 11915, 5709, 7328, 309, 27914, 5286, 38833, 309, 30261, 3303, 1072, 30261, 1051, 3303, 1051, 2849, 347, 7593, 1524, 2035, 6356, 4844, 21492, 1537, 3759, 25833, 666, 35749, 881, 8541, 205, 536, 1102, 5396, 3070, 2537, 47032, 7648, 1145, 309, 3701, 3109, 523, 205, 16985, 8409, 3263, 205, 33609, 493, 3701, 32, 205, 23, 69, 4905, 3043, 4844, 287, 1550, 10965, 282, 20, 205, 24, 69, 5293, 4840, 3224, 5194, 596, 205, 25, 69, 12164, 3498, 25349, 30714, 16237, 596, 205, 26, 69, 10587, 17654, 28269, 4844, 596, 205, 16985, 8409, 16, 205, 488, 2426, 397, 309, 493, 3701, 841, 205, 23, 19, 12506, 4126, 319, 309, 5917, 14723, 2877, 32703, 596, 15239, 841, 528, 1186, 846, 3963, 379, 20339, 839, 30714, 3117, 5116, 332, 12322, 44535, 779, 6112, 2433, 596, 205, 24, 19, 2383, 1821, 1818, 309, 5917, 3224, 5936, 17507, 1599, 263, 2681, 379, 5525, 1316, 379, 20951, 2177, 1186, 1901, 3764, 10217, 20, 205, 25, 19, 8025, 309, 10805, 29174, 379, 15239, 841, 1758, 1047, 395, 943, 1957, 507, 379, 8610, 4402, 23656, 29174, 379, 33603, 6254, 46749, 1610, 738, 2457, 666, 9986, 1070, 6556, 9082, 20, 205, 26, 19, 3399, 3658, 17547, 42574, 379, 3260, 32, 5860, 3224, 5194, 379, 13937, 1379, 1493, 14009, 20, 205, 27, 19, 3399, 9376, 379, 3701, 4358, 19117, 9376, 15500, 20347, 379, 390, 4995, 1758, 841, 26289, 663, 701, 9814, 13661, 637, 379, 4995, 14580, 3661, 7836, 44843, 23121, 379, 1425, 19, 308, 19674, 19, 4027, 7498, 282, 205, 28, 19, 19045, 3224, 3398, 20, 8780, 3353, 20, 205, 16985, 8409, 3263, 205, 1558, 19353, 1316, 32, 205, 23920, 3043, 494, 2176, 671, 15, 23058, 10965, 282, 20, 205, 16, 4905, 4844, 32, 205, 2176, 671, 309, 3077, 32, 8293, 15797, 5892, 8616, 7433, 645, 21220, 12671, 348, 32, 205, 358, 671, 3904, 21638, 309, 457, 9942, 330, 1999, 1329, 1873, 1665, 311, 366, 9942, 205, 281, 2176, 671, 752, 7455, 5011, 12019, 379, 3741, 345, 2004, 671, 841, 6073, 6635, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 98, 19196, 19580, 2885, 11903, 2801, 47304, 98, 205, 98, 4514, 19, 11556, 19, 20703, 18, 17307, 32, 9035, 16836, 2801, 6270, 3368, 841, 2148, 23, 67, 98, 5429, 205, 1466, 4501, 23709, 285, 10180, 25479, 205, 1466, 4501, 23709, 285, 10180, 25479, 205, 5870, 497, 1333, 15932, 461, 5187, 9161, 282, 10507, 47090, 748, 18740, 2686, 2148, 19179, 7875, 752, 10536, 205, 5870, 497, 1333, 15932, 461, 5187, 9161, 282, 10507, 47090, 748, 18740, 2686, 2148, 19179, 7875, 752, 10536, 205, 995, 1100, 4638, 1020, 266, 537, 2269, 1742, 309, 6248, 3324, 298, 347, 49362, 359, 3339, 359, 1212, 34865, 309, 3844, 4233, 298, 855, 4909, 21567, 28211, 10357, 304, 5129, 914, 43700, 20, 1915, 2227, 311, 347, 2785, 3062, 1703, 5838, 1027, 6092, 2463, 298, 866, 7054, 397, 14879, 1784, 9456, 387, 32862, 498, 734, 318, 17597, 8, 49121, 32862, 1703, 7442, 309, 10144, 12401, 46326, 298, 11307, 1172, 9369, 4855, 1232, 1513, 486, 298, 2338, 7427, 2262, 1691, 298, 461, 4909, 347, 3446, 2656, 26355, 7058, 326, 544, 8259, 319, 24674, 10882, 298, 7729, 3840, 37496, 4146, 896, 317, 309, 16624, 43154, 355, 25059, 20, 205, 1148, 544, 21379, 29518, 955, 156, 239, 1177, 551, 5531, 961, 1237, 46533, 4353, 1226, 13109, 494, 1558, 4604, 15, 48792, 8086, 494, 3359, 25933, 656, 15, 1146, 2558, 1325, 10065, 5446, 289, 25070, 359, 311, 746, 2549, 918, 10359, 852, 968, 5250, 6515, 20, 205, 402, 4222, 589, 5129, 914, 28211, 13012, 205, 9405, 2224, 309, 4407, 2847, 1172, 2549, 342, 20336, 24294, 17646, 3587, 19776, 339, 1085, 1991, 20, 31788, 1186, 528, 920, 5233, 912, 43911, 8995, 387, 5887, 589, 6783, 303, 710, 1477, 2258, 494, 35222, 1760, 14517, 8356, 288, 359, 17659, 20, 205, 17383, 551, 1246, 4017, 6783, 303, 6849, 303, 15744, 589, 710, 1477, 2258, 10144, 2913, 318, 4414, 13012, 309, 1135, 4855, 541, 710, 1477, 1081, 15226, 11803, 2396, 3662, 3093, 2396, 20, 205, 17383, 528, 523, 2258, 9724, 6961, 309, 1135, 9375, 5578, 309, 20708, 34210, 35222, 289, 632, 14552, 12602, 461, 4909, 733, 4481, 303, 298, 24294, 1490, 1182, 19254, 20, 205, 25973, 18604, 532, 22040, 29479, 359, 7631, 45995, 17046, 2099, 741, 19402, 1266, 28211, 10357, 304, 298, 12990, 309, 2123, 3198, 18168, 309, 928, 1266, 12401, 26355, 1212, 28934, 448, 274, 309, 3215, 1982, 298, 1141, 462, 9637, 2992, 1787, 29840, 309, 1358, 1266, 298, 717, 3195, 5714, 10027, 1390, 10896, 10804, 6296, 3113, 1106, 22692, 5589, 22842, 1266, 298, 14956, 2269, 10808, 29109, 11037, 3296, 5589, 6515, 298, 309, 1515, 10922, 22947, 19272, 2548, 494, 1460, 570, 1212, 852, 1574, 1104, 18613, 44901, 359, 17687, 1388, 15506, 494, 31156, 1266, 16238, 17597, 1542, 920, 5882, 28194, 25483, 5031, 2209, 309, 2053, 2864, 20, 11772, 7166, 1384, 2927, 339, 7485, 24167, 43011, 702, 33210, 3542, 7815, 12422, 33479, 13265, 9731, 359, 9697, 12467, 5325, 15506, 630, 6078, 578, 20, 205, 18753, 715, 1104, 205, 1452, 1574, 1104, 6448, 2815, 39873, 298, 2789, 1253, 7481, 733, 20034, 38167, 1104, 1695, 281, 5460, 7028, 2738, 338, 1642, 11441, 1385, 23530, 45146, 826, 26612, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 9927, 748, 18740, 309, 8780, 20, 19179, 17829, 7875, 752, 205, 98, 9000, 26, 6132, 2801, 16128, 9334, 28, 98, 5429, 205, 9, 23, 5429, 205, 442, 6473, 5134, 22778, 309, 5413, 50059, 20951, 1047, 5519, 645, 41922, 32892, 13661, 637, 205, 442, 6473, 5134, 22778, 309, 5413, 50059, 494, 23, 15, 205, 7988, 5519, 645, 41922, 32892, 205, 15349, 2736, 16494, 6507, 339, 3276, 637, 8682, 20710, 842, 1695, 282, 298, 1937, 597, 32, 205, 7059, 3478, 637, 339, 22316, 5134, 384, 3221, 11913, 50258, 34180, 22778, 31604, 946, 39003, 2577, 6707, 21123, 309, 520, 13955, 772, 971, 13955, 8371, 17162, 733, 637, 298, 9994, 1882, 469, 2625, 3127, 13955, 3303, 4788, 1423, 1287, 2749, 2261, 38495, 5857, 646, 22775, 546, 32367, 309, 1610, 20, 205, 286, 23, 692, 1355, 1537, 637, 17792, 4355, 848, 2111, 597, 1891, 20787, 654, 205, 296, 23, 20787, 2458, 637, 309, 1837, 298, 16459, 3221, 384, 637, 676, 2186, 815, 1598, 29791, 11913, 298, 1114, 1537, 637, 4355, 14520, 493, 3221, 723, 613, 384, 4355, 34238, 9624, 31819, 2744, 3221, 446, 1052, 20745, 2577, 6707, 729, 672, 2736, 32603, 2175, 6651, 1040, 3221, 1063, 2207, 494, 266, 346, 314, 420, 320, 463, 294, 346, 266, 599, 290, 463, 267, 346, 288, 227, 156, 233, 420, 314, 420, 276, 463, 272, 346, 524, 420, 401, 346, 283, 346, 285, 346, 317, 346, 337, 463, 276, 346, 156, 239, 463, 274, 420, 295, 346, 267, 227, 156, 233, 599, 288, 301, 413, 308, 463, 272, 420, 285, 463, 294, 420, 156, 239, 381, 346, 156, 239, 463, 5292, 359, 287, 346, 306, 346, 282, 1218, 272, 463, 294, 346, 156, 239, 463, 274, 420, 156, 239, 346, 227, 156, 233, 420, 932, 599, 360, 420, 281, 420, 319, 346, 287, 346, 357, 463, 284, 346, 360, 420, 263, 420, 319, 346, 287, 346, 2176, 1621, 285, 599, 277, 420, 370, 1621, 296, 413, 422, 22782, 2148, 36247, 19, 4248, 10089, 2535, 1891, 20787, 1537, 637, 17792, 4355, 848, 2111, 347, 1414, 4019, 309, 1373, 10932, 384, 5134, 2336, 3221, 14897, 298, 1264, 13318, 282, 1373, 311, 611, 1591, 298, 1063, 2207, 31598, 266, 346, 290, 346, 320, 1218, 267, 297, 420, 156, 239, 400, 599, 352, 420, 294, 420, 357, 463, 291, 346, 296, 1218, 227, 156, 239, 346, 290, 463, 274, 413, 917, 346, 383, 420, 296, 346, 1638, 359, 287, 346, 277, 346, 156, 233, 346, 388, 330, 413, 156, 233, 1218, 584, 346, 328, 420, 272, 921, 227, 156, 239, 346, 290, 463, 274, 420, 319, 346, 283, 420, 267, 330, 413, 156, 233, 1218, 297, 346, 296, 8132, 300, 346, 263, 420, 449, 921, 37, 2148, 36247, 19, 4996, 10089, 1072, 493, 5134, 2799, 5738, 19983, 637, 26885, 24106, 2736, 7700, 461, 7788, 558, 20, 205, 286, 24, 561, 2447, 9420, 5134, 309, 2804, 654, 205, 296, 24, 3352, 637, 5134, 28185, 339, 22316, 298, 1063, 2207, 31598, 266, 346, 156, 233, 420, 156, 233, 373, 282, 420, 300, 346, 156, 233, 346, 388, 400, 599, 352, 420, 338, 420, 296, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 205, 205, 284, 542, 3334, 2438, 33572, 497, 20858, 2901, 494, 20155, 1392, 15, 205, 26279, 3600, 7031, 10634, 10505, 7952, 6985, 25275, 26615, 16186, 298, 897, 24143, 14062, 6103, 462, 4511, 2191, 24217, 4141, 14595, 38673, 3625, 20, 205, 550, 25130, 3334, 2438, 25477, 275, 13636, 1053, 23223, 22212, 311, 6315, 4248, 27821, 2262, 1747, 10634, 298, 6844, 799, 2713, 21346, 387, 37571, 309, 4172, 2043, 1141, 884, 3400, 21346, 20, 205, 25973, 10408, 5471, 369, 294, 9182, 339, 8644, 3334, 2438, 1006, 973, 1138, 497, 387, 16905, 19721, 3052, 14185, 3254, 3600, 4493, 1605, 520, 7067, 26888, 6032, 27182, 309, 1216, 8597, 298, 11757, 9553, 18454, 35403, 3637, 37449, 5581, 6088, 2996, 46634, 931, 3353, 3453, 8661, 2236, 3862, 1134, 3014, 309, 2901, 10505, 20, 205, 2141, 5732, 347, 3334, 2438, 28569, 1757, 13636, 332, 309, 38138, 10353, 1019, 9470, 15996, 826, 432, 280, 4662, 15441, 722, 373, 317, 428, 28569, 1008, 1757, 19068, 8048, 7510, 3594, 298, 712, 12887, 3353, 334, 17830, 339, 1069, 461, 4021, 805, 311, 19068, 8048, 2925, 6586, 20, 205, 334, 3778, 3353, 334, 309, 2298, 26196, 977, 32428, 309, 29504, 311, 15441, 722, 373, 317, 2186, 2499, 415, 723, 796, 334, 26142, 394, 18946, 670, 4511, 298, 1486, 5732, 8728, 16879, 311, 40383, 332, 339, 8859, 32788, 311, 9614, 11280, 25508, 309, 37236, 4864, 1001, 475, 4172, 20, 205, 1801, 16895, 20582, 205, 1377, 2657, 24059, 35403, 2438, 10263, 1310, 2022, 7062, 565, 1361, 21069, 347, 22663, 6088, 309, 44321, 1827, 5505, 311, 3213, 298, 12978, 3529, 12041, 1034, 19914, 347, 4924, 567, 4386, 541, 4780, 311, 476, 16895, 3334, 2438, 20, 205, 98, 8, 98, 205, 934, 881, 35403, 2438, 5797, 347, 1361, 21069, 347, 22663, 6088, 3350, 427, 1827, 5505, 311, 3213, 298, 12978, 3529, 12041, 1034, 19914, 347, 4924, 567, 4386, 541, 4780, 311, 476, 16895, 3334, 2438, 205, 8, 205, 2141, 3353, 334, 33101, 497, 311, 2901, 7460, 428, 9810, 2095, 4861, 21, 9109, 1473, 597, 347, 11536, 497, 1361, 963, 27948, 20, 205, 1469, 27975, 4370, 20582, 1361, 20043, 34793, 1281, 1035, 2901, 12195, 2406, 3076, 298, 14035, 3087, 35951, 704, 33495, 387, 3322, 16112, 968, 487, 274, 2258, 15463, 2634, 2899, 5041, 3179, 2258, 2345, 9614, 11842, 20, 205, 18731, 14849, 311, 2095, 13274, 2896, 3353, 334, 387, 7008, 1987, 5938, 1957, 40123, 15817, 7225, 15996, 298, 2186, 19197, 462, 5862, 40123, 15817, 758, 29318, 722, 373, 317, 7746, 44151, 7706, 298, 17952, 14125, 5337, 309, 722, 373, 317, 339, 4406, 9084, 1580, 350, 8973, 3400, 1969, 4780, 311, 13274, 13371, 4954, 21386, 7403, 11159, 20, 205, 804, 1361, 12375, 387, 1317, 47072, 9810, 2284, 36707, 24606, 298, 885, 830, 12121, 34793, 20, 205, 23131, 17964, 2319, 300, 937, 412, 419, 3677, 387, 4585, 1372, 311, 5986, 428, 34788, 2491, 2901, 298, 46251, 1134, 3014, 541, 9336, 805, 3353, 334, 20, 205, 804, 412, 419, 3677, 6043, 309, 2335, 23826, 1392, 347, 13147, 428, 505, 3353, 334, 19429, 2229, 4393, 1035, 13274, 462, 3434, 311, 2980, 541, 595, 347, 16085, 6644, 17420, 428, 21333, 1019, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 10245, 12727, 752, 309, 493, 8780, 49580, 7585, 330, 4319, 782, 596, 36322, 722, 1438, 29392, 359, 884, 20450, 205, 10245, 12727, 752, 8306, 13151, 339, 7485, 11126, 1000, 15281, 1333, 3617, 15281, 38163, 596, 205, 10245, 12727, 752, 29162, 2558, 5405, 1833, 4560, 45123, 1467, 10313, 359, 999, 18853, 558, 6911, 28211, 205, 281, 5493, 752, 1315, 999, 1540, 10313, 359, 4118, 359, 311, 15598, 493, 8780, 596, 1530, 32817, 551, 295, 359, 3929, 726, 2600, 596, 205, 442, 5520, 461, 5249, 551, 27806, 911, 25627, 30910, 1345, 4499, 676, 3736, 1356, 3683, 309, 493, 8780, 18651, 205, 442, 5520, 752, 462, 4584, 12625, 1170, 309, 493, 8780, 6375, 16863, 5080, 29355, 205, 442, 5520, 462, 4584, 45755, 10646, 16689, 29355, 205, 5493, 752, 781, 1038, 721, 2581, 2979, 663, 1414, 293, 397, 4161, 359, 596, 484, 920, 841, 205, 1066, 27806, 30910, 1345, 4499, 1458, 40152, 852, 4656, 2827, 311, 5914, 13060, 25590, 3091, 746, 21123, 309, 13060, 1317, 2449, 4279, 1008, 461, 40441, 596, 205, 377, 17088, 2313, 567, 1035, 10129, 309, 11215, 6838, 359, 596, 205, 29569, 4194, 6316, 311, 695, 44926, 309, 493, 8780, 596, 541, 43291, 330, 2709, 1500, 596, 17666, 15333, 397, 311, 7365, 1951, 596, 205, 281, 5493, 882, 2594, 3462, 28211, 596, 6958, 311, 719, 475, 267, 30910, 1345, 4499, 596, 1046, 22034, 497, 35214, 1019, 311, 781, 852, 781, 541, 50145, 1019, 2313, 1081, 596, 205, 19182, 882, 11087, 551, 999, 10925, 1019, 4256, 611, 6428, 596, 1463, 18919, 497, 637, 551, 1169, 16353, 596, 2233, 1745, 332, 596, 1463, 5702, 2447, 344, 6775, 596, 205, 2706, 505, 26222, 332, 387, 8780, 1315, 16908, 5156, 26526, 24050, 22626, 30740, 596, 205, 2354, 3433, 541, 3352, 1212, 23790, 275, 5204, 6426, 1039, 1904, 3934, 16689, 1027, 551, 30488, 27537, 461, 488, 332, 596, 1041, 676, 1396, 597, 551, 17729, 1212, 4194, 27603, 820, 10751, 30811, 596, 29087, 30743, 339, 15598, 8780, 596, 1165, 14511, 45828, 311, 4966, 344, 6775, 596, 205, 19619, 596, 20165, 497, 311, 2704, 11432, 1019, 596, 311, 5914, 2655, 730, 11043, 25908, 50025, 596, 205, 13245, 918, 469, 2584, 1372, 4939, 596, 484, 26451, 21137, 3500, 493, 12401, 596, 43677, 28211, 596, 205, 1801, 16319, 2581, 42007, 773, 596, 35504, 359, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 4794, 4522, 8805, 11081, 364, 359, 6526, 309, 1135, 1762, 24292, 359, 13762, 3397, 461, 5895, 37167, 332, 15034, 1887, 753, 9325, 4835, 24825, 298, 2166, 914, 2786, 3807, 31083, 1807, 298, 21873, 2371, 1467, 339, 469, 567, 848, 27276, 359, 22860, 2207, 32, 3019, 327, 346, 227, 156, 239, 413, 285, 346, 156, 233, 1218, 281, 413, 2205, 373, 282, 413, 354, 346, 281, 463, 2897, 359, 322, 420, 327, 599, 287, 413, 286, 463, 277, 346, 282, 346, 288, 42858, 9506, 373, 156, 239, 6445, 351, 15341, 359, 1192, 461, 3575, 2190, 298, 7874, 281, 373, 272, 33980, 387, 20922, 28185, 11712, 428, 9292, 387, 26201, 298, 1708, 413, 24770, 13973, 321, 311, 719, 296, 1887, 1515, 461, 825, 22267, 282, 5134, 2182, 558, 2072, 2230, 298, 7211, 33849, 285, 20, 205, 2706, 505, 493, 381, 39892, 309, 775, 577, 1316, 494, 31912, 25597, 15, 47359, 494, 20155, 15, 31536, 309, 2955, 19, 27, 19, 26910, 263, 387, 1084, 2999, 2157, 23399, 473, 387, 9745, 410, 26682, 4596, 3960, 2658, 298, 1280, 27966, 738, 5795, 311, 461, 877, 4091, 738, 347, 23037, 1081, 384, 1556, 311, 12375, 6734, 30025, 695, 9017, 2476, 35625, 3387, 2302, 14522, 10706, 541, 26929, 387, 35836, 1889, 746, 347, 18155, 469, 6845, 282, 311, 34220, 298, 842, 32885, 530, 507, 291, 298, 842, 3254, 26535, 5570, 291, 298, 8616, 2807, 998, 45786, 4595, 9814, 1957, 581, 298, 7880, 637, 298, 462, 227, 156, 239, 413, 501, 599, 272, 42186, 390, 28423, 347, 35777, 1218, 281, 2447, 9901, 1889, 359, 47518, 288, 359, 5966, 359, 339, 3347, 311, 26535, 1230, 10140, 298, 500, 33766, 1248, 11976, 311, 34106, 22934, 4744, 561, 410, 791, 24223, 309, 8443, 34744, 4453, 1198, 505, 309, 29031, 5740, 30264, 298, 842, 468, 14327, 590, 298, 311, 26579, 1271, 590, 298, 339, 1085, 1991, 20, 205, 2389, 409, 802, 359, 347, 23037, 387, 8616, 26049, 4355, 32715, 405, 328, 355, 541, 887, 501, 1159, 27378, 339, 9995, 3855, 298, 37509, 637, 18, 920, 311, 18359, 49583, 1006, 47458, 641, 13812, 380, 47249, 380, 298, 1579, 795, 156, 233, 772, 1259, 469, 6845, 282, 311, 25187, 339, 36578, 1699, 9102, 19381, 15467, 1165, 494, 26479, 37073, 48308, 15, 287, 14, 26479, 25820, 3315, 1029, 15, 287, 14, 26479, 13144, 4274, 985, 738, 309, 4276, 5916, 1542, 1915, 469, 462, 16370, 558, 597, 311, 385, 40922, 282, 4710, 503, 1699, 1600, 1165, 494, 25541, 465, 4112, 645, 17755, 15, 287, 14, 2544, 2937, 30637, 1901, 342, 947, 681, 348, 15, 287, 14, 3108, 501, 15219, 561, 40571, 5086, 7567, 1195, 205, 2389, 409, 2401, 11578, 4967, 1758, 1186, 9343, 45271, 7521, 310, 4995, 9846, 12248, 548, 541, 429, 357, 670, 357, 14267, 670, 1079, 309, 31297, 2302, 1595, 582, 1895, 319, 309, 1360, 298, 1736, 3836, 359, 1186, 25098, 359, 8873, 364, 1021, 10340, 6881, 359, 16265, 327, 1021, 10340, 649, 38622, 359, 1275, 8715, 1021, 1532, 1186, 32925, 359, 3217, 995, 10546, 1021, 2440, 22449, 578, 309, 3003, 941, 266, 1326, 359, 3863, 5303, 11002, 15743, 11117, 359, 309, 2619, 5837, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 17629, 1641, 2145, 27913, 1157, 494, 15355, 22069, 841, 3370, 43, 22937, 15, 379, 7981, 309, 1907, 2409, 7690, 8565, 5239, 14364, 13361, 379, 781, 32139, 387, 30725, 12611, 2835, 6647, 84, 21707, 494, 24175, 15, 12038, 1910, 10287, 46163, 8405, 494, 57, 1910, 12416, 15, 379, 6004, 8899, 25115, 18146, 329, 8891, 20, 920, 6258, 5796, 1468, 49610, 83, 79, 42635, 29044, 2053, 1641, 2145, 27913, 379, 1833, 8335, 311, 1135, 31951, 22097, 18114, 311, 6194, 34348, 1312, 311, 3307, 384, 4739, 20, 609, 3208, 30725, 12611, 2835, 6647, 84, 21707, 384, 9557, 561, 493, 6281, 390, 6144, 10354, 6627, 4430, 13294, 10578, 6806, 611, 311, 34612, 8848, 5047, 1281, 6033, 4334, 3021, 5542, 20, 205, 734, 2695, 49610, 83, 79, 42635, 29044, 38526, 25279, 309, 8234, 4780, 30725, 12611, 2835, 6647, 84, 21707, 3308, 6512, 3257, 424, 838, 309, 3000, 6144, 5175, 2377, 1783, 4624, 494, 18816, 62, 15, 13000, 28780, 34348, 379, 311, 615, 9557, 561, 4988, 14201, 309, 1907, 12605, 37168, 390, 9526, 22581, 309, 5156, 387, 4524, 3647, 42, 62, 20, 22720, 30725, 12611, 2835, 6647, 84, 21707, 339, 2991, 35252, 7028, 11892, 911, 1211, 339, 2398, 309, 2631, 2738, 6281, 20, 205, 274, 2248, 27633, 321, 379, 898, 2053, 1641, 2145, 27913, 1312, 10662, 1582, 1647, 379, 21694, 841, 498, 290, 801, 12611, 2835, 6647, 84, 21707, 14915, 4746, 11223, 397, 339, 1085, 1991, 28730, 2641, 24525, 1006, 34614, 2463, 21893, 339, 4874, 12772, 16991, 25362, 22097, 3462, 22815, 379, 880, 772, 1259, 379, 461, 595, 4104, 339, 2051, 1910, 12416, 390, 6144, 34483, 4077, 15641, 4427, 5081, 493, 21945, 379, 10609, 2230, 2734, 379, 866, 15498, 5597, 309, 2738, 2927, 15806, 2434, 1836, 309, 6860, 42824, 43686, 379, 19841, 4839, 311, 22815, 748, 6849, 309, 6199, 390, 10518, 5542, 8848, 13041, 5793, 4047, 384, 2051, 1910, 12416, 2409, 6627, 1055, 24548, 3647, 42, 62, 42713, 6144, 5175, 6124, 20626, 9878, 8565, 20, 498, 205, 345, 6907, 321, 13945, 841, 498, 430, 3208, 30725, 12611, 2835, 6647, 84, 21707, 33668, 520, 15740, 3696, 309, 1647, 311, 615, 2409, 23143, 34348, 390, 18842, 1281, 48284, 309, 6121, 4739, 3297, 311, 3307, 379, 10731, 4047, 384, 1365, 31420, 18093, 31089, 17901, 309, 24548, 11634, 379, 1437, 6627, 609, 10384, 4839, 311, 4430, 311, 746, 10350, 5238, 387, 597, 37526, 12760, 41, 3051, 1836, 379, 1141, 4780, 5260, 5026, 8947, 387, 597, 309, 13041, 3863, 5542, 424, 7801, 9154, 28720, 2213, 6236, 20, 498, 205, 3538, 2835, 6647, 84, 21707, 3245, 1867, 5434, 311, 5125, 6219, 430, 1143, 27663, 12797, 14033, 309, 5480, 5047, 20, 30725, 12611, 2835, 6647, 84, 21707, 379, 1810, 7930, 30932, 494, 285, 15, 351, 1910, 12416, 379, 461, 3558, 493, 23242, 2835, 6647, 84, 21707, 390, 2186, 32214, 5579, 15184, 379, 1248, 309, 571, 841, 49610, 83, 79, 42635, 29044, 379, 428, 4572, 5705, 10934, 738, 3370, 44210, 1721, 18606, 598, 2125, 3628, 1074, 5028, 738, 10934, 379, 4329, 2053, 1641, 2145, 27913, 3647, 42, 62, 1468, 1459, 1832, 339, 1325, 38837, 33250, 674, 4802, 494, 40023, 42, 15, 443, 22883, 2418, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 28897, 27497, 377, 287, 45814, 733, 11542, 738, 5283, 13937, 738, 5283, 14901, 303, 205, 15332, 17495, 84, 77, 3010, 4154, 738, 4849, 24691, 12341, 3010, 4154, 738, 5521, 15972, 31121, 3545, 2507, 738, 18879, 3827, 86, 31121, 3545, 2507, 738, 42539, 17495, 84, 77, 4088, 24691, 12341, 3010, 4154, 5429, 205, 364, 567, 5283, 27497, 377, 424, 5283, 45814, 287, 469, 567, 4686, 5644, 2035, 205, 4091, 4777, 317, 23580, 1181, 424, 2092, 326, 2386, 11519, 1626, 13937, 733, 2538, 424, 1613, 3014, 287, 838, 469, 2642, 733, 11542, 561, 2137, 1425, 852, 1351, 1790, 1333, 287, 663, 6784, 27497, 377, 1053, 494, 28897, 27497, 377, 1760, 1438, 45814, 1053, 494, 28897, 14901, 303, 1760, 287, 663, 6784, 3624, 3142, 359, 1333, 287, 567, 838, 2874, 11644, 11519, 11542, 309, 1094, 4093, 596, 494, 29555, 752, 15951, 3024, 27497, 377, 3885, 287, 8510, 1816, 1760, 205, 364, 676, 1347, 5090, 47029, 428, 3410, 5283, 14901, 303, 287, 27497, 377, 2035, 205, 13978, 3392, 5283, 27497, 377, 387, 2026, 676, 1315, 12937, 1333, 287, 595, 13972, 1212, 347, 3410, 2807, 287, 979, 1606, 473, 287, 1129, 12359, 309, 27497, 377, 1333, 287, 2564, 520, 12937, 567, 3791, 1083, 27792, 2083, 26538, 714, 349, 793, 12016, 400, 686, 1444, 581, 1333, 287, 3791, 412, 3042, 8008, 1333, 287, 3791, 38130, 1333, 287, 1937, 1347, 20850, 2338, 2092, 326, 377, 1290, 2885, 311, 713, 3278, 295, 14, 2016, 738, 227, 5310, 83, 5005, 35914, 3220, 18879, 3827, 15696, 7751, 7751, 73, 5823, 494, 45, 39, 40, 46, 57, 18, 287, 16564, 359, 469, 3410, 1290, 2885, 5283, 14901, 746, 2137, 12020, 1333, 2401, 15505, 5283, 14901, 303, 2514, 326, 2386, 17937, 1315, 683, 280, 3335, 3768, 481, 424, 28267, 266, 8073, 526, 20, 205, 1011, 567, 2874, 390, 507, 2035, 205, 28897, 27497, 377, 287, 14901, 303, 44641, 4310, 359, 469, 825, 390, 4499, 359, 287, 3922, 1333, 287, 1937, 5283, 14901, 303, 1315, 1290, 2885, 18879, 3827, 86, 31121, 3545, 2507, 13300, 16088, 1008, 2387, 8363, 352, 7540, 287, 33344, 717, 2642, 309, 6256, 8916, 20, 205, 15099, 287, 5941, 1412, 311, 5283, 27497, 377, 841, 205, 364, 676, 4733, 2595, 287, 1268, 6901, 347, 1703, 40663, 5283, 28091, 377, 2035, 205, 21158, 520, 5412, 311, 6842, 921, 9247, 287, 311, 6512, 283, 13664, 9247, 1333, 595, 11481, 9217, 26686, 27497, 377, 287, 5283, 14901, 347, 34622, 311, 1500, 1438, 838, 311, 5412, 2790, 841, 205, 1466, 803, 9657, 5283, 27497, 377, 10382, 17891, 733, 2538, 2035, 205, 2876, 309, 611, 3340, 9603, 3477, 1333, 287, 803, 597, 571, 12952, 8505, 868, 1001, 873, 2538, 287, 2190, 20200, 6864, 558, 924, 3539, 46185, 311, 14901, 303, 287, 27497, 377, 5064, 348, 387, 1290, 2885, 12474, 5957, 4760, 18879, 3827, 86, 4849, 8809, 89, 1333, 287, 309, 2149, 884, 520, 647, 644, 9225, 28840, 2885, 21758, 8041, 26752, 2514, 326, 2386, 1333, 287, 567, 1347, 4443, 309, 12952, 6245, 2385, 20, 205, 1011, 611, 2993, 309, 27497, 377, 4035, 462, 35677, 5283, 424, 13709, 19260, 2035, 205, 29810, 571, 25161, 1333, 287, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 9872, 6113, 19501, 2765, 7623, 1998, 6231, 645, 7017, 3484, 6792, 3387, 1805, 44717, 379, 274, 50180, 3007, 2830, 6919, 8240, 311, 4562, 3094, 5457, 5464, 4246, 1104, 2368, 4679, 428, 996, 318, 5023, 1863, 3180, 615, 2257, 311, 1944, 384, 4704, 4562, 5828, 379, 47254, 328, 6856, 17338, 309, 25188, 7017, 1641, 20, 205, 9541, 359, 2197, 23385, 3362, 7428, 9658, 498, 23368, 498, 379, 1280, 4238, 2384, 4164, 34764, 5464, 1104, 10618, 5828, 347, 6856, 17338, 1458, 825, 31471, 359, 24258, 4764, 359, 311, 43915, 7950, 838, 311, 8699, 1222, 298, 712, 31405, 1055, 8274, 21846, 8825, 2789, 6070, 1625, 309, 6761, 10165, 4246, 298, 7699, 384, 347, 9466, 853, 12650, 1031, 1157, 385, 9569, 408, 295, 995, 19935, 3527, 39, 43, 298, 1165, 3150, 2564, 1844, 1949, 309, 1907, 3208, 10020, 9887, 3910, 20, 205, 4255, 1451, 676, 7394, 4164, 45800, 6761, 5457, 5464, 11132, 7746, 4679, 428, 14999, 309, 10618, 700, 9865, 298, 50204, 5464, 16946, 14812, 9701, 8818, 309, 24648, 44571, 700, 7903, 298, 50204, 5464, 16946, 22215, 428, 14999, 704, 1473, 309, 43340, 2626, 20, 205, 1377, 1998, 7599, 645, 13183, 3484, 6792, 298, 5360, 704, 10745, 16946, 9658, 5309, 2384, 4164, 3551, 34764, 5464, 1104, 841, 498, 2473, 5860, 2543, 311, 931, 35937, 298, 15730, 7784, 359, 384, 1135, 541, 17575, 1008, 10618, 763, 30280, 8761, 1574, 1104, 309, 3913, 311, 9887, 4246, 11404, 7705, 298, 1141, 996, 470, 17576, 8338, 428, 4975, 6813, 1104, 8, 205, 1707, 898, 2384, 4164, 3551, 34764, 5464, 1104, 3611, 32, 498, 32959, 6856, 17338, 2602, 6215, 428, 6531, 332, 3180, 384, 1353, 1104, 298, 1141, 7840, 309, 3432, 5457, 5464, 1104, 2336, 704, 872, 6523, 428, 22424, 1545, 332, 1574, 1104, 309, 5514, 10916, 19444, 22192, 7257, 20388, 16740, 7565, 25115, 32572, 311, 1243, 2212, 3152, 1742, 7300, 4394, 6848, 311, 1757, 17913, 800, 4312, 5969, 205, 2672, 23844, 2384, 4164, 18665, 6856, 6761, 5457, 5464, 1104, 5828, 4099, 311, 615, 1875, 2634, 3506, 29320, 494, 7187, 7304, 8201, 20, 32746, 77, 46442, 19445, 20, 87, 71, 15, 28998, 16777, 2384, 16946, 9658, 36740, 4989, 15426, 459, 26840, 309, 50130, 37631, 901, 1178, 431, 1718, 1072, 1009, 519, 2071, 298, 17332, 1941, 18665, 6856, 17338, 14177, 8625, 34195, 3596, 3204, 763, 6030, 12088, 287, 10252, 4114, 34066, 763, 6030, 36763, 287, 3505, 34195, 3596, 3204, 763, 6030, 38726, 2910, 20, 43802, 18665, 6856, 17338, 29272, 3339, 1703, 6848, 3716, 26112, 6588, 1487, 12835, 1887, 1863, 3180, 311, 9056, 309, 12338, 16552, 4246, 20, 205, 26611, 1556, 18665, 6856, 17338, 1421, 6387, 298, 803, 802, 9271, 563, 10607, 29596, 4246, 311, 615, 34605, 22127, 42935, 4668, 31299, 34699, 21759, 298, 384, 1556, 7161, 2145, 36258, 549, 37506, 424, 43520, 5514, 20, 23134, 753, 7189, 4930, 20902, 339, 3004, 1176, 46302, 16946, 9658, 424, 758, 656, 5464, 1104, 298, 384, 1556, 7161, 1412, 309, 11121, 14427, 9373, 1915, 2007, 10990, 3262, 2537, 20, 205, 2393, 5787, 298, 1063, 4595, 5101, 12682, 298, 4401, 3506, 8583, 1646, 322, 1292, 593, 1185, 326, 323, 15871, 2248, 309, 2384, 4164, 34764, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 16794, 1462, 1634, 5231, 2863, 13207, 1756, 27530, 4219, 339, 1855, 5885, 1942, 27515, 4042, 428, 7968, 10736, 332, 311, 1462, 1634, 5231, 311, 1337, 31084, 18463, 3117, 5861, 14753, 998, 631, 6232, 339, 302, 550, 3357, 1757, 1991, 1006, 469, 21201, 46353, 28242, 1216, 29660, 282, 530, 550, 3357, 1006, 15016, 3439, 597, 29660, 282, 717, 2033, 2500, 17123, 309, 3316, 24817, 1833, 45720, 3316, 21976, 311, 1457, 2480, 2215, 494, 1294, 15, 5427, 12666, 1141, 22367, 339, 16663, 302, 550, 3357, 746, 29660, 282, 9013, 2263, 10339, 541, 35689, 298, 1833, 4372, 5541, 494, 9334, 15, 5427, 29169, 42774, 2600, 3623, 29684, 663, 4083, 302, 550, 3357, 2846, 1108, 205, 13199, 364, 5097, 2504, 3272, 3152, 2863, 6718, 1855, 11470, 15783, 4292, 13129, 339, 1202, 302, 12488, 31790, 17154, 18256, 733, 3304, 36797, 6227, 424, 7080, 424, 512, 25392, 2041, 387, 34407, 595, 347, 7760, 282, 11612, 309, 1781, 398, 483, 345, 298, 1264, 7555, 18728, 3773, 30104, 359, 39386, 359, 1264, 28029, 4126, 12579, 1782, 11173, 30634, 524, 309, 1781, 398, 483, 345, 298, 1937, 8904, 13346, 309, 34812, 12579, 13597, 2337, 20, 205, 1469, 10304, 15783, 4292, 21579, 561, 3050, 302, 12488, 39877, 302, 550, 451, 311, 4973, 10833, 26565, 27459, 3050, 800, 21159, 390, 20439, 3773, 20, 205, 544, 1710, 23724, 2180, 25832, 10259, 3050, 302, 12488, 390, 8749, 302, 550, 451, 309, 2149, 4050, 3366, 298, 1956, 3951, 1864, 38845, 302, 550, 451, 309, 2149, 4050, 22872, 298, 1937, 22393, 16309, 398, 483, 345, 424, 3577, 13249, 4045, 12579, 311, 7394, 302, 550, 451, 298, 1183, 34560, 359, 1042, 2357, 4639, 44612, 1579, 17361, 6256, 20, 205, 2393, 22630, 4330, 1141, 14854, 1230, 311, 3515, 6345, 676, 4205, 302, 12488, 748, 3394, 746, 398, 483, 345, 25402, 359, 5512, 8280, 2093, 10945, 4026, 20, 6587, 12488, 3394, 4912, 359, 36456, 872, 3577, 14923, 2359, 21424, 1183, 339, 5395, 302, 12488, 748, 3394, 541, 461, 36456, 3577, 14923, 428, 8950, 332, 898, 3202, 2359, 21424, 1600, 298, 842, 33995, 10736, 520, 3316, 1685, 6163, 18259, 561, 302, 550, 3357, 1991, 15138, 497, 19695, 666, 461, 8063, 359, 347, 302, 12488, 567, 40065, 23642, 4254, 309, 6478, 3299, 20, 205, 266, 30949, 274, 3316, 4271, 311, 1855, 11470, 5766, 17289, 13496, 1046, 971, 25807, 1524, 5129, 822, 1880, 3633, 298, 1937, 1864, 646, 550, 3357, 46319, 734, 14047, 5885, 11086, 380, 384, 2384, 6822, 1335, 277, 9509, 4042, 586, 16422, 9158, 359, 33901, 339, 26739, 1361, 1072, 15813, 23510, 925, 9158, 1108, 1937, 28400, 334, 309, 15497, 3085, 339, 49329, 1324, 298, 2142, 8487, 2180, 7166, 11470, 8163, 597, 18318, 35481, 1756, 597, 25231, 380, 34764, 22992, 1782, 317, 309, 11958, 2726, 20, 205, 2696, 1855, 1457, 13593, 309, 3316, 11325, 339, 1202, 302, 12488, 309, 572, 989, 2971, 15887, 309, 2069, 24229, 11146, 20, 205, 334, 10960, 3316, 802, 359, 339, 11958, 898, 2101, 309, 6946, 8608, 4930, 7805, 302, 550, 3357, 298, 2186, 384, 7008, 646, 976, 406, 1092, 4150, 17399, 2568, 339, 4986, 2282, 311, 9156, 302, 12488, 311, 22356, 298, 19662, 802, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 205, 205, 32, 1181, 969, 25232, 205, 452, 8892, 2458, 297, 7025, 5429, 205, 452, 8892, 2458, 297, 7025, 5505, 205, 31591, 5626, 31885, 205, 38350, 2965, 541, 18273, 282, 2490, 3708, 25852, 311, 39258, 852, 3207, 298, 505, 7362, 384, 6751, 311, 2458, 387, 458, 298, 39050, 301, 497, 852, 7933, 7500, 842, 924, 852, 2157, 8897, 20, 3574, 2458, 297, 7025, 4735, 339, 493, 1323, 311, 4247, 291, 7933, 7500, 8378, 10048, 852, 6829, 11784, 3201, 7362, 2957, 1212, 631, 15605, 2957, 502, 22547, 852, 2458, 387, 458, 20, 205, 4794, 381, 4765, 3708, 339, 2458, 297, 7025, 12264, 5768, 311, 46669, 852, 1102, 8668, 765, 2142, 10160, 288, 558, 38161, 7629, 22559, 848, 22965, 309, 30199, 30780, 6101, 274, 376, 7642, 34277, 852, 3207, 20, 3043, 2458, 297, 7025, 717, 5249, 2620, 7039, 19383, 24932, 746, 8154, 26336, 512, 717, 30693, 24778, 494, 17727, 8373, 1542, 2240, 6689, 571, 660, 2779, 24932, 309, 922, 1516, 428, 462, 6216, 3708, 566, 21449, 1145, 1750, 693, 3546, 309, 2957, 384, 3207, 20, 205, 26611, 2458, 297, 7025, 27742, 693, 4232, 311, 2458, 387, 458, 35945, 274, 339, 10760, 453, 2957, 541, 485, 22547, 752, 10545, 1073, 1560, 2458, 387, 458, 298, 2264, 308, 3163, 347, 22045, 3708, 13241, 852, 2157, 8897, 1192, 5865, 311, 3692, 4924, 494, 2530, 458, 1195, 3779, 558, 32, 498, 579, 1223, 752, 2197, 5307, 14947, 26917, 31742, 3708, 32, 498, 5493, 10404, 14069, 895, 205, 470, 2095, 3336, 5106, 23667, 298, 10022, 370, 3622, 9516, 4681, 852, 4194, 20717, 13462, 309, 493, 3112, 8936, 37304, 359, 18760, 693, 4232, 517, 1812, 31309, 6844, 444, 524, 4974, 274, 768, 19401, 43199, 16882, 20, 1072, 3336, 1698, 2305, 20719, 3112, 30392, 14127, 2490, 3708, 399, 48667, 1750, 49611, 384, 3207, 20, 10755, 1438, 975, 7872, 682, 852, 16535, 493, 298, 15519, 38229, 1712, 10681, 758, 656, 4630, 1005, 18075, 8936, 37304, 359, 2197, 5854, 2116, 3708, 48459, 311, 2458, 297, 7025, 852, 1575, 3207, 20, 205, 2672, 8504, 373, 280, 10271, 2615, 454, 602, 7543, 3696, 2069, 2645, 19812, 339, 5011, 13462, 25079, 1366, 597, 347, 20535, 387, 1282, 31217, 2069, 2645, 20990, 5438, 288, 359, 4504, 1445, 7531, 1698, 2305, 23667, 298, 339, 2786, 14109, 786, 4372, 339, 45478, 24734, 23146, 1253, 2463, 12685, 20, 5574, 7394, 5050, 1467, 2287, 5917, 1891, 8662, 7802, 288, 13427, 311, 4072, 390, 3490, 317, 5389, 5023, 298, 1072, 7394, 4542, 5917, 47066, 4372, 2970, 281, 18075, 298, 42030, 12654, 47274, 43199, 16882, 32594, 4840, 3917, 3280, 3557, 3043, 2458, 297, 7025, 20, 205, 470, 2069, 40662, 1384, 4481, 33786, 678, 60, 5380, 2102, 50196, 639, 339, 6758, 22604, 48755, 753, 21847, 332, 428, 462, 3434, 4530, 20, 717, 16559, 1384, 1518, 288, 1148, 428, 4805, 339, 13981, 7543, 2846, 20, 1072, 922, 704, 4855, 9867, 3495, 993, 26979, 266, 1974, 3447, 1891, 18550, 19285, 339, 14123, 7543, 20, 205, 1406, 5148, 1327, 551, 6718, 311, 898, 28075, 298, 5600, 384, 3112, 541, 3629, 1081, 753, 26931, 298, 428, 7957, 3777, 387, 9337, 2490, 3708, 765, 1720, 2330, 469, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 205, 205, 2015, 589, 309, 611, 6586, 563, 4511, 408, 14239, 11202, 311, 1768, 4861, 205, 3523, 4112, 32892, 32, 205, 288, 1882, 15709, 4833, 36607, 20010, 309, 1462, 4347, 14791, 4112, 40728, 762, 8370, 2846, 10850, 12568, 390, 18657, 42237, 3299, 3451, 5989, 12258, 2113, 11211, 4705, 7520, 31592, 563, 4511, 408, 8226, 4347, 14791, 11465, 1561, 3299, 3451, 5989, 12258, 20, 205, 1377, 1046, 520, 6034, 9973, 1349, 24148, 18883, 12524, 12978, 380, 852, 4430, 8691, 309, 8226, 4347, 14791, 390, 49268, 416, 5248, 16301, 27752, 2600, 298, 717, 853, 280, 1544, 3047, 39886, 390, 18657, 1757, 10553, 26213, 7106, 2688, 10837, 39497, 2926, 6488, 1757, 13041, 6478, 3299, 3451, 15726, 11661, 309, 520, 6034, 1976, 298, 3006, 852, 551, 520, 6034, 3638, 339, 4004, 8151, 298, 803, 311, 3542, 8558, 1757, 9674, 12524, 20, 205, 4056, 2117, 611, 3717, 282, 13067, 660, 1064, 48900, 2928, 2290, 925, 11202, 311, 6150, 4861, 20, 205, 402, 29624, 303, 15058, 205, 442, 3213, 1051, 298, 14521, 2657, 4304, 309, 1462, 4347, 14791, 339, 551, 2607, 46040, 5376, 11894, 7538, 1755, 3047, 2113, 10384, 2283, 8321, 37598, 14247, 5238, 1756, 517, 32229, 5238, 1234, 3311, 2519, 350, 1171, 1385, 998, 475, 298, 27181, 615, 27216, 19034, 390, 5980, 3047, 31619, 27993, 288, 311, 746, 5660, 25151, 8321, 20, 205, 21365, 3628, 551, 3047, 6140, 339, 8110, 2384, 6342, 3275, 18848, 978, 1557, 1459, 309, 3212, 14701, 6311, 655, 447, 1366, 21321, 2377, 446, 831, 325, 2134, 298, 13096, 27884, 18670, 17503, 1058, 298, 13096, 8967, 3569, 11900, 298, 10326, 852, 3275, 18848, 2002, 2517, 28766, 856, 3928, 1431, 27884, 302, 36035, 11615, 655, 8163, 298, 9681, 8110, 2384, 339, 2345, 24536, 44252, 304, 2029, 2293, 34824, 12598, 6006, 1567, 13763, 464, 33607, 298, 13045, 3275, 18848, 34019, 12095, 1129, 14248, 12598, 4720, 15061, 2134, 9543, 4347, 14791, 20, 205, 8458, 3628, 551, 2384, 16375, 339, 5257, 873, 46003, 10990, 15061, 13783, 2784, 7765, 13401, 996, 8795, 8767, 7930, 30932, 298, 10326, 852, 6388, 11190, 12276, 1695, 293, 12853, 4860, 5430, 13107, 5847, 309, 22493, 1805, 298, 3006, 852, 46892, 339, 2345, 3275, 18848, 2264, 4722, 5238, 7863, 47343, 21, 18135, 7930, 30932, 17804, 309, 8807, 2157, 298, 1165, 3857, 387, 18923, 5518, 863, 1689, 369, 1994, 537, 807, 12598, 9172, 3900, 24024, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 98, 14390, 19, 2485, 19, 20444, 18, 17408, 32, 7553, 18230, 45519, 23, 98, 5429, 205, 284, 464, 447, 2481, 1407, 205, 284, 464, 447, 2481, 1407, 676, 8238, 2679, 301, 3876, 1333, 14579, 309, 3560, 7153, 8378, 16110, 301, 3876, 1333, 2482, 522, 384, 15439, 429, 862, 1608, 45220, 304, 22055, 682, 1333, 2672, 12039, 274, 309, 753, 4622, 384, 494, 1592, 26868, 15, 287, 494, 2544, 2481, 321, 1195, 205, 23105, 46860, 266, 13042, 347, 1891, 23912, 447, 2481, 1407, 27000, 350, 13965, 1178, 505, 2069, 4790, 26, 282, 309, 1515, 4461, 7294, 19780, 2490, 1047, 5519, 645, 10590, 637, 32333, 376, 309, 8171, 42210, 7365, 13042, 347, 14494, 4504, 384, 469, 746, 2804, 841, 8842, 266, 580, 464, 23912, 403, 2481, 321, 37834, 6661, 462, 2188, 17621, 30555, 1273, 505, 6758, 288, 8794, 2749, 311, 2116, 23055, 1273, 311, 32845, 6961, 10906, 596, 205, 38181, 10156, 4764, 359, 311, 8639, 9210, 19920, 6111, 309, 2439, 7153, 8378, 1141, 381, 36998, 994, 16750, 494, 46051, 15, 1182, 42263, 1586, 308, 2415, 2322, 311, 14089, 1114, 457, 9591, 753, 13981, 332, 2519, 305, 494, 3108, 656, 15, 11029, 2833, 319, 379, 3574, 1102, 19920, 20413, 359, 1071, 2376, 447, 862, 7025, 596, 205, 632, 674, 274, 753, 32874, 311, 1499, 319, 4856, 27723, 274, 7075, 30783, 494, 41058, 15, 19469, 379, 717, 5709, 925, 17411, 477, 1089, 530, 13260, 379, 15063, 1069, 311, 45831, 1428, 10379, 9243, 656, 339, 10208, 27146, 42881, 15066, 304, 5419, 8309, 7372, 596, 205, 22417, 10156, 4764, 359, 311, 10817, 5452, 1212, 26949, 39649, 384, 781, 5391, 20944, 446, 2940, 3452, 311, 712, 4242, 24278, 3655, 1021, 24124, 5289, 541, 5478, 309, 7394, 5050, 920, 10148, 730, 8000, 5419, 893, 46914, 494, 4123, 20, 3505, 29637, 4514, 20, 2984, 263, 3326, 7946, 4817, 14641, 366, 570, 2962, 494, 6132, 671, 15, 469, 9751, 13338, 28252, 866, 14641, 282, 4817, 494, 8836, 671, 15, 558, 24044, 1178, 1316, 309, 7394, 4542, 12884, 309, 7394, 5050, 2933, 731, 805, 40652, 309, 7061, 4691, 8378, 30472, 1729, 20, 205, 44142, 384, 1556, 493, 5289, 311, 3213, 3128, 10148, 4315, 1180, 5249, 2829, 505, 45632, 359, 9622, 298, 1072, 9328, 6111, 561, 5289, 319, 3629, 19411, 6327, 16674, 332, 19427, 884, 2789, 4807, 332, 2115, 318, 1521, 1165, 7136, 29775, 319, 20, 205, 2393, 5804, 33075, 29775, 1316, 34976, 2287, 2846, 359, 692, 22695, 5804, 14281, 6431, 1114, 3218, 571, 29900, 311, 18405, 370, 570, 2069, 17002, 25, 282, 17332, 33758, 494, 23, 20, 6132, 263, 487, 15, 41260, 494, 21279, 671, 15, 379, 2166, 19518, 311, 4961, 5353, 7478, 1154, 976, 18696, 561, 494, 5056, 19, 5442, 671, 15, 15260, 339, 10350, 7598, 32282, 4840, 29564, 311, 25642, 319, 14862, 22836, 841, 205, 8, 493, 469, 1384, 5180, 645, 1047, 1654, 10173, 205, 7988, 3236, 45967, 637, 10772, 46443, 2996, 498, 596, 205, 632, 6365, 309, 10156, 2401, 5011, 4961, 34960, 32, 1493, 14971, 309, 7394, 5050, 3344, 28079, 309, 7042, 4542, 41532, 22490, 645, 1573, 348, 1333, 20270, 692, 1298, 414, 7851, 2404, 288, 1333, 446, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 290, 7024, 15802, 205, 290, 7024, 15802, 494, 30463, 32, 76, 42281, 8789, 4508, 1589, 15, 567, 1631, 311, 15802, 10401, 1081, 4716, 21668, 311, 27185, 38317, 774, 2185, 43858, 16574, 878, 1953, 474, 377, 901, 10767, 24622, 377, 1203, 454, 25695, 576, 601, 2341, 860, 377, 2835, 83, 20, 1165, 16347, 384, 1593, 3494, 303, 11171, 774, 2185, 428, 1881, 963, 318, 17597, 23082, 2476, 1055, 15802, 20, 2240, 1032, 7024, 6513, 34317, 309, 34438, 332, 878, 698, 10882, 8223, 317, 424, 15414, 13075, 4276, 17263, 5770, 12189, 19, 93, 39558, 5736, 21300, 4614, 347, 1671, 6447, 288, 309, 4305, 4440, 9697, 22394, 10343, 309, 27185, 15802, 20, 205, 770, 7024, 15802, 676, 1631, 311, 15802, 541, 2076, 2279, 156, 233, 2023, 20, 2240, 347, 1738, 266, 373, 267, 815, 4193, 27185, 8998, 4716, 21668, 424, 1516, 18988, 309, 27185, 15802, 20, 842, 34438, 9442, 23082, 347, 19829, 12215, 15802, 309, 27185, 494, 1039, 8379, 682, 15, 18570, 298, 31910, 12881, 15802, 1750, 6214, 3531, 977, 27185, 18570, 2543, 20, 205, 28966, 35545, 11171, 65, 20182, 67, 205, 31135, 35545, 11171, 424, 27185, 15802, 311, 2657, 15468, 3994, 1815, 422, 35545, 8950, 12215, 15802, 298, 11477, 10794, 15468, 3994, 5150, 347, 825, 31938, 9124, 424, 7881, 282, 21470, 300, 6712, 494, 507, 422, 35545, 708, 6136, 30058, 1542, 11477, 383, 983, 15468, 3994, 33733, 1971, 25987, 15726, 339, 12215, 15802, 1860, 16520, 20, 2240, 347, 6749, 4556, 412, 1068, 23082, 841, 38545, 10401, 311, 693, 3890, 6973, 3380, 6509, 1141, 663, 4997, 4115, 319, 3441, 42128, 319, 2383, 8546, 11171, 424, 311, 27185, 19, 19196, 19, 37698, 379, 428, 719, 1136, 332, 743, 677, 15468, 3994, 387, 1282, 13000, 2415, 23153, 1253, 5325, 16622, 2955, 30, 21177, 45161, 20, 205, 632, 1997, 728, 309, 3950, 38277, 275, 2679, 1019, 21651, 551, 29312, 1951, 387, 5212, 298, 3201, 9808, 5876, 15802, 17445, 733, 5325, 9291, 3573, 33060, 20, 9697, 4963, 13580, 5876, 35545, 733, 5325, 9291, 24100, 7884, 9245, 311, 4224, 2067, 16622, 1600, 20, 205, 6929, 6386, 1981, 361, 311, 27185, 15802, 18988, 298, 5150, 347, 6225, 309, 27185, 36788, 424, 309, 743, 677, 15468, 3994, 298, 2029, 339, 8523, 12215, 15802, 339, 13327, 2029, 19610, 20, 205, 310, 3654, 332, 65, 20182, 67, 205, 27875, 27185, 15802, 34438, 288, 8462, 298, 878, 7109, 2125, 309, 4554, 7202, 9438, 384, 5876, 494, 285, 3579, 4916, 387, 2592, 7560, 15, 16623, 2125, 1580, 277, 361, 4440, 298, 717, 6464, 17309, 3008, 494, 16794, 4433, 27025, 643, 20, 2365, 2747, 1195, 8391, 339, 571, 2749, 2717, 6033, 298, 855, 9020, 332, 6388, 298, 446, 23717, 27291, 20, 205, 9342, 1919, 65, 20182, 67, 205, 1744, 822, 27185, 15802, 11496, 303, 3397, 298, 3716, 8419, 2658, 9416, 298, 16623, 1981, 361, 298, 47444, 761, 5420, 20, 311, 1102, 19119, 841, 205, 19, 2789, 1842, 376, 15802, 1253, 3568, 13731, 309, 2239, 1682, 3703, 27185, 8998, 20, 15992, 7771, 1412, 298, 878, 11171, 2961, 5073, 26483, 11378, 977, 30259, 1281, 20, 205, 19, 2789, 27185, 15802, 428, 2029, 22037, 515, 11702, 738, 899, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 4111, 3888, 26503, 287, 18176, 12680, 7720, 1624, 3412, 668, 603, 205, 364, 10638, 309, 4272, 2331, 284, 298, 5759, 348, 673, 2317, 2157, 977, 2128, 449, 4952, 6154, 45984, 2363, 1008, 1665, 692, 16752, 1323, 388, 371, 5837, 21376, 10265, 733, 37859, 1213, 481, 1002, 3866, 21942, 2895, 10545, 1209, 1922, 27454, 733, 4057, 38513, 3287, 18662, 42154, 571, 4902, 7758, 549, 2189, 414, 1081, 3441, 31653, 2157, 40326, 31514, 332, 44468, 298, 1474, 7657, 9756, 29070, 885, 28933, 298, 309, 5341, 1093, 7984, 298, 309, 9037, 541, 461, 37851, 12667, 46446, 10374, 4565, 390, 23415, 9953, 420, 1487, 10638, 309, 4272, 2331, 284, 298, 47648, 10138, 263, 17934, 1324, 311, 400, 1208, 1595, 12316, 1074, 263, 1540, 28716, 517, 27845, 400, 13387, 705, 30896, 10491, 5527, 405, 10946, 30684, 1548, 3333, 723, 320, 954, 5524, 39733, 298, 2531, 1474, 561, 424, 13402, 332, 555, 321, 776, 298, 23735, 227, 156, 239, 32553, 21498, 347, 2193, 2002, 747, 1391, 6651, 381, 1297, 36196, 8197, 339, 21295, 376, 7099, 10038, 776, 394, 2001, 13299, 5647, 8560, 7366, 309, 10481, 3598, 12358, 30758, 462, 14483, 469, 13575, 2854, 312, 1212, 17478, 855, 1017, 358, 733, 48225, 14236, 855, 1848, 796, 692, 39576, 4057, 6555, 751, 13, 3182, 25022, 420, 853, 1471, 329, 691, 465, 469, 347, 42088, 1837, 869, 14483, 1074, 2416, 6919, 339, 8288, 542, 47256, 3747, 49890, 298, 705, 24616, 1085, 12886, 3454, 446, 9567, 36052, 1831, 21390, 1247, 321, 9139, 800, 5074, 612, 16848, 30864, 1611, 1182, 579, 2263, 298, 853, 1471, 329, 1038, 469, 6713, 309, 4272, 2331, 284, 1352, 6609, 47546, 400, 1208, 420, 1511, 33975, 309, 4272, 4135, 309, 3307, 462, 2506, 2854, 1254, 9174, 332, 855, 37539, 24481, 18832, 309, 3247, 24925, 560, 429, 7596, 32628, 298, 12434, 30068, 578, 1276, 284, 624, 309, 31796, 26548, 1919, 428, 462, 16090, 1008, 748, 394, 617, 620, 35942, 37579, 298, 3092, 505, 36471, 347, 877, 36687, 4057, 20914, 2101, 42154, 1102, 9476, 311, 4272, 4135, 428, 20395, 1008, 366, 488, 331, 9719, 589, 390, 28839, 12879, 16699, 302, 29855, 2742, 940, 454, 394, 3026, 517, 1301, 1932, 8108, 3401, 521, 930, 6204, 42361, 1159, 385, 1683, 420, 8603, 777, 1102, 3982, 473, 428, 49751, 263, 13676, 1212, 18219, 870, 303, 461, 7568, 2012, 5274, 13981, 4298, 44759, 2312, 500, 1179, 349, 14645, 311, 3447, 1748, 39104, 22526, 826, 19661, 461, 9110, 8552, 387, 1449, 625, 1242, 303, 25623, 8042, 991, 311, 31487, 16935, 723, 4017, 3149, 43155, 2009, 674, 3567, 1045, 356, 3530, 461, 2020, 1226, 4366, 5413, 387, 6694, 1006, 4224, 20380, 5000, 27270, 298, 30980, 462, 719, 548, 1020, 2797, 1159, 5782, 5705, 298, 12068, 309, 8105, 5840, 909, 428, 469, 347, 45300, 298, 772, 25964, 285, 400, 34004, 428, 33808, 21805, 285, 563, 44198, 1002, 8964, 1515, 14862, 12625, 291, 461, 227, 26553, 298, 3430, 752, 2182, 309, 1591, 1180, 298, 752, 712, 461, 3558, 339, 6444, 1665, 32, 12781, 26503, 17895, 205, 2932, 3412, 668, 603, 205, 293, 6068, 1005, 2364, 597, 7090, 8013, 24896, 836, 4559, 836, 1270, 9485, 1199, 344, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 284, 1681, 45821, 738, 609, 3577, 21470, 5252, 6277, 4271, 1899, 385, 20, 296, 311, 4497, 1462, 10686, 1756, 287, 4639, 287, 5096, 1979, 20805, 1032, 20458, 11249, 6539, 12124, 2074, 1756, 23432, 5542, 18949, 47807, 681, 12571, 1221, 1681, 45821, 2100, 469, 1603, 781, 3413, 311, 1857, 493, 2074, 20, 205, 266, 609, 3577, 493, 6247, 309, 2670, 1804, 38941, 609, 39136, 28468, 20355, 311, 5828, 384, 5103, 712, 11907, 5347, 287, 5082, 6870, 25538, 2153, 2100, 469, 8924, 805, 2490, 5994, 2580, 1178, 3006, 384, 347, 1172, 2625, 16902, 2597, 1316, 311, 12913, 1159, 2730, 493, 2074, 309, 24678, 20, 205, 6938, 9234, 44163, 5437, 866, 29260, 2353, 15615, 5578, 5347, 3810, 1144, 287, 1664, 3945, 3680, 287, 2353, 12124, 32650, 1796, 287, 17240, 287, 12124, 2660, 5374, 2337, 498, 2931, 358, 287, 565, 797, 8, 1687, 384, 18632, 287, 24820, 21004, 3891, 20, 205, 1707, 1253, 5437, 1046, 29260, 2353, 12124, 520, 15307, 428, 5810, 31555, 34087, 16334, 7151, 11062, 287, 428, 19829, 29836, 17799, 19506, 304, 16328, 293, 2095, 700, 5103, 20, 205, 18290, 6016, 1046, 2074, 1756, 23432, 5542, 18949, 47807, 681, 12571, 1221, 1681, 45821, 541, 6590, 13863, 9797, 4942, 977, 5331, 681, 12571, 8648, 2679, 3152, 663, 2159, 1159, 31452, 838, 311, 24575, 1222, 469, 561, 283, 4876, 39614, 287, 4402, 319, 287, 4549, 2323, 1367, 287, 24174, 39614, 309, 2778, 1164, 35259, 1006, 5431, 311, 4957, 309, 17674, 287, 16993, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 33835, 634, 21875, 3928, 870, 5720, 205, 22279, 2169, 280, 494, 309, 5402, 1760, 18129, 1990, 205, 47966, 20377, 30682, 387, 28266, 309, 1640, 36133, 2971, 7049, 33004, 5720, 298, 29516, 332, 1081, 10396, 5346, 20, 205, 266, 41649, 30682, 49654, 498, 41540, 781, 1348, 10997, 21108, 309, 4352, 36133, 2971, 5720, 298, 971, 611, 16444, 1081, 878, 1885, 1156, 624, 298, 330, 6807, 884, 17428, 332, 908, 3246, 12262, 20, 205, 5479, 1260, 21875, 802, 1046, 803, 1640, 520, 19581, 309, 2786, 385, 1150, 11376, 4975, 332, 390, 611, 311, 24943, 1264, 19221, 1296, 4181, 28279, 883, 13849, 370, 4892, 298, 772, 825, 931, 5608, 42475, 37380, 298, 878, 4286, 3086, 428, 10853, 1213, 12626, 309, 1472, 20, 205, 1469, 6582, 339, 28266, 309, 1640, 493, 931, 339, 2282, 1694, 298, 14944, 1773, 7089, 298, 8794, 25282, 390, 2538, 339, 762, 498, 24765, 562, 8, 461, 9519, 908, 9197, 298, 1038, 2026, 2334, 2366, 4897, 339, 9076, 16549, 931, 6942, 9950, 2855, 20, 205, 18290, 6016, 347, 30682, 7511, 3893, 36133, 332, 691, 2351, 1858, 498, 308, 10948, 387, 1152, 8, 1833, 7265, 13441, 3339, 390, 5508, 298, 6648, 441, 37225, 47194, 6509, 1467, 3303, 2819, 34485, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 23920, 13657, 205, 156, 239, 413, 687, 599, 281, 2804, 227, 156, 233, 413, 355, 2831, 359, 2829, 1325, 934, 345, 9793, 19983, 705, 488, 287, 354, 26685, 4045, 12942, 298, 11482, 567, 20987, 6671, 7058, 934, 345, 4566, 6297, 373, 280, 1161, 2999, 978, 2842, 14, 39756, 27900, 1904, 321, 577, 4704, 28, 1195, 205, 15428, 14545, 2100, 11166, 8342, 298, 2338, 1610, 541, 2064, 805, 1186, 298, 1385, 2828, 428, 20228, 637, 2207, 925, 1520, 902, 22467, 20, 1114, 1697, 1186, 848, 4268, 6507, 16195, 13157, 1373, 387, 493, 1610, 22162, 282, 35017, 15150, 2978, 10223, 2537, 1198, 31771, 311, 1027, 637, 20, 29256, 567, 12755, 2352, 816, 1421, 8934, 558, 298, 17915, 5903, 29275, 978, 1284, 637, 8157, 478, 924, 1325, 934, 345, 558, 2833, 780, 24109, 282, 1581, 22272, 1185, 2124, 311, 7842, 805, 5666, 20, 205, 266, 29225, 2651, 428, 1832, 1145, 13657, 567, 11174, 637, 3247, 5795, 1581, 22272, 1185, 2124, 311, 7842, 7015, 842, 15150, 611, 469, 27452, 20, 205, 266, 29152, 1232, 25766, 359, 339, 2721, 1027, 2721, 298, 424, 12545, 1027, 12545, 298, 1273, 676, 6260, 6979, 33957, 1757, 15187, 1685, 5878, 18259, 29662, 1757, 20, 17848, 6286, 1832, 339, 339, 2322, 30586, 3788, 18259, 561, 1243, 3973, 1490, 3353, 2534, 45537, 1356, 284, 561, 22442, 1271, 544, 3015, 516, 35264, 325, 1385, 1598, 901, 657, 450, 2364, 298, 717, 461, 29600, 2804, 561, 2898, 28679, 2042, 1121, 311, 3172, 457, 29840, 2736, 2207, 19129, 332, 17576, 686, 298, 2749, 3132, 30416, 676, 27669, 541, 34698, 1356, 263, 805, 1384, 1691, 19129, 282, 5540, 9396, 2804, 20, 2033, 637, 2207, 309, 3224, 3398, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 13517, 205, 10712, 6677, 205, 290, 43746, 339, 493, 1875, 11823, 530, 3458, 298, 9651, 23605, 1999, 1467, 2714, 1021, 29748, 347, 295, 8085, 2581, 37508, 298, 500, 12188, 347, 11002, 26745, 12265, 403, 1745, 20, 205, 5493, 21703, 1159, 899, 1790, 298, 1579, 2642, 631, 6909, 1315, 1365, 27185, 3863, 29074, 309, 6676, 298, 1198, 28587, 3304, 322, 38398, 793, 784, 15487, 28198, 2537, 298, 21205, 23429, 4081, 359, 387, 1282, 1317, 42993, 2203, 516, 298, 21205, 2313, 8494, 298, 3574, 1870, 1326, 359, 2922, 1101, 34553, 20, 205, 11261, 608, 8039, 748, 15898, 1159, 23118, 298, 3131, 1192, 1223, 309, 9499, 11065, 298, 10710, 14163, 3085, 733, 38618, 2549, 609, 5731, 1365, 21111, 339, 18966, 298, 297, 5139, 1304, 516, 5913, 16502, 835, 516, 10746, 8963, 8578, 494, 16365, 281, 423, 7903, 15, 309, 781, 298, 1487, 18204, 6971, 848, 20, 205, 30582, 11551, 309, 5843, 663, 9293, 274, 1135, 1230, 309, 1834, 387, 38418, 3682, 298, 802, 359, 323, 14852, 3490, 832, 922, 5213, 2714, 1021, 21228, 5118, 631, 1393, 311, 23631, 298, 12363, 359, 42290, 4393, 781, 20, 205, 10495, 2014, 49641, 28221, 11747, 7786, 8578, 4726, 306, 494, 285, 9514, 2455, 15, 309, 781, 2271, 311, 3589, 298, 1579, 626, 19492, 772, 1259, 298, 16287, 2115, 4420, 609, 19227, 1120, 7930, 309, 10297, 298, 1487, 18204, 6971, 309, 19227, 835, 516, 20, 205, 1710, 274, 9336, 7786, 1384, 12215, 29469, 304, 339, 6676, 298, 297, 29563, 347, 22253, 6676, 9142, 1422, 2015, 4215, 298, 880, 1752, 14607, 14060, 344, 960, 41429, 1090, 298, 800, 910, 569, 1513, 909, 12798, 24197, 2182, 344, 960, 288, 1108, 205, 33753, 25590, 21015, 347, 9975, 7298, 10365, 4425, 1021, 28221, 11747, 8963, 494, 1297, 16590, 607, 15, 8972, 27810, 47101, 848, 298, 21015, 4874, 30924, 14586, 5770, 16597, 1333, 50, 46, 50098, 11747, 8578, 8421, 16458, 20, 205, 33596, 347, 5020, 22661, 298, 1741, 2642, 6909, 7075, 14607, 1500, 1053, 298, 555, 35114, 7298, 10365, 4982, 28903, 5794, 654, 6356, 1317, 11171, 4920, 309, 6676, 298, 446, 17994, 1137, 11023, 654, 6356, 2287, 7453, 1046, 973, 467, 309, 493, 3008, 654, 205, 1011, 1317, 6631, 14510, 424, 16942, 45736, 1153, 631, 597, 493, 20079, 424, 1458, 4920, 528, 1315, 1365, 323, 14852, 298, 4982, 6971, 339, 8963, 494, 16365, 281, 423, 15, 1159, 1128, 2564, 7691, 654, 205, 48907, 4770, 17932, 17118, 8920, 298, 35504, 359, 2581, 1072, 14117, 41905, 726, 20, 205, 28170, 205, 7561, 2502, 35010, 18, 311, 3385, 347, 2642, 3011, 7075, 43693, 2185, 1524, 1053, 18, 1437, 309, 2149, 884, 7116, 2800, 6227, 20, 205, 804, 1864, 586, 18, 28282, 356, 6332, 1830, 946, 23976, 7487, 5873, 18, 8289, 2515, 40076, 309, 28198, 18, 1114, 8475, 339, 8686, 285, 899, 1790, 18, 4804, 461, 4587, 44230, 1135, 10215, 3351, 18, 1412, 2577, 884, 309, 878, 34831, 20, 205, 1773, 2227, 311, 3430, 469, 18204, 309, 1957, 29193, 276, 18, 1121, 762, 946, 8835, 384, 347, 25230, 19937, 16150, 2426, 298, 8801, 9171, 597, 1094, 7746, 27113, 18, 1530, 946, 309, 878, 4908, 285, 6787, 384, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 2354, 42467, 2841, 5194, 283, 413, 2183, 11612, 20, 10609, 2227, 311, 762, 1005, 12928, 2366, 34275, 339, 1694, 785, 298, 866, 12036, 12067, 541, 7002, 805, 5337, 17705, 12510, 1411, 2631, 7291, 1865, 7477, 205, 23767, 21128, 205, 20155, 32, 3370, 79, 80, 79, 205, 20155, 32, 18409, 205, 308, 12734, 583, 2796, 48957, 298, 11501, 23727, 961, 283, 413, 286, 463, 274, 346, 277, 463, 263, 346, 272, 420, 156, 239, 373, 28312, 738, 6781, 555, 741, 28174, 12287, 332, 32925, 27632, 4214, 20, 880, 1741, 20015, 311, 3728, 339, 1015, 8429, 27723, 332, 733, 7568, 3247, 4273, 309, 2397, 1647, 1949, 781, 654, 205, 20155, 32, 480, 22345, 1170, 526, 205, 2354, 42467, 2841, 5194, 996, 7852, 20, 339, 2227, 311, 1260, 1524, 311, 12928, 428, 4735, 10541, 3806, 40176, 359, 339, 1694, 785, 298, 6225, 12036, 12067, 309, 9253, 1703, 33734, 563, 1563, 5696, 581, 22238, 9452, 20, 205, 20155, 32, 626, 454, 14569, 205, 49153, 295, 346, 454, 463, 156, 233, 346, 5491, 428, 42953, 2829, 312, 19025, 2138, 748, 283, 413, 378, 24700, 4825, 13640, 283, 413, 16076, 8460, 17614, 35459, 2113, 469, 798, 884, 2377, 7759, 424, 1665, 9275, 24403, 10515, 2065, 20, 6356, 14278, 7329, 776, 309, 2353, 1861, 390, 14494, 654, 205, 20155, 32, 42716, 28636, 312, 205, 487, 23803, 498, 1883, 272, 22334, 8, 781, 996, 23142, 6898, 4809, 884, 513, 2547, 359, 19117, 2892, 7465, 1474, 8475, 20, 4812, 1259, 339, 2721, 673, 1471, 1166, 347, 29405, 45239, 1547, 5983, 357, 798, 469, 2972, 7537, 5917, 5467, 1677, 21083, 20, 205, 20155, 32, 309, 1541, 205, 1773, 2227, 311, 10128, 6789, 10075, 2098, 18075, 13862, 502, 2731, 106, 275, 298, 1121, 347, 1505, 308, 927, 44479, 1042, 2416, 3128, 9666, 283, 413, 2183, 275, 11612, 2236, 34269, 5495, 37401, 20, 842, 46406, 36844, 428, 13679, 384, 4617, 3855, 384, 2631, 22907, 2134, 298, 3062, 1172, 12068, 12659, 5147, 30135, 384, 785, 2197, 567, 19915, 13749, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 21913, 7294, 49355, 2214, 663, 1144, 41623, 7880, 637, 205, 12848, 205, 19, 1646, 12811, 4940, 205, 19, 1069, 6759, 32, 2303, 9000, 27, 205, 21648, 32, 3360, 205, 30857, 32, 899, 9000, 16911, 205, 10985, 4182, 32, 3400, 21, 13946, 21, 25081, 205, 21913, 7294, 49355, 2214, 663, 1144, 41623, 7880, 637, 205, 15683, 1998, 841, 13183, 645, 1186, 645, 528, 635, 8546, 205, 4941, 841, 1197, 12178, 7292, 205, 293, 928, 276, 6309, 1792, 274, 458, 772, 4344, 17051, 5723, 34765, 205, 15804, 3247, 8735, 289, 645, 41094, 205, 364, 5017, 7521, 597, 26562, 1540, 16877, 282, 311, 1998, 49355, 205, 308, 935, 2804, 2214, 21347, 205, 49645, 36820, 7294, 716, 11088, 7644, 2804, 379, 505, 311, 759, 358, 1427, 48439, 43434, 785, 205, 49645, 10829, 205, 602, 6992, 14716, 12017, 325, 13898, 3168, 332, 1160, 858, 17929, 490, 339, 1942, 14481, 848, 9331, 26755, 312, 44495, 2930, 37167, 2797, 746, 347, 11189, 17308, 596, 205, 15804, 2214, 20945, 205, 314, 1302, 19499, 11316, 608, 5000, 1859, 282, 637, 1792, 3270, 3617, 2836, 1421, 1831, 302, 1831, 11059, 5269, 457, 373, 267, 599, 274, 22320, 282, 668, 2243, 2894, 419, 5339, 478, 3881, 2243, 3539, 692, 7044, 277, 9018, 1916, 481, 35804, 596, 205, 987, 1012, 2137, 645, 40790, 205, 21913, 4364, 2214, 663, 1144, 2148, 23, 67, 7880, 637, 227, 205, 352, 1031, 26826, 282, 841, 205, 4091, 1901, 1186, 4595, 645, 2177, 645, 1186, 645, 663, 1144, 645, 4102, 328, 645, 6716, 41623, 1470, 599, 26051, 7644, 18177, 4364, 8674, 10805, 8177, 48302, 7880, 637, 4274, 38146, 40711, 4218, 311, 8252, 34272, 596, 205, 557, 25160, 48676, 578, 841, 205, 7346, 7880, 637, 19756, 599, 7314, 311, 1384, 16368, 309, 2465, 2069, 1120, 11504, 340, 379, 12665, 4970, 390, 14889, 596, 205, 13296, 282, 841, 205, 1405, 846, 3175, 7880, 637, 841, 505, 9752, 10667, 282, 11259, 29249, 4115, 1084, 9129, 8637, 9331, 7023, 311, 11722, 1020, 286, 862, 4274, 277, 399, 1578, 5434, 32412, 12348, 8519, 3499, 334, 7994, 1578, 4315, 3947, 13681, 12360, 43981, 4750, 483, 2126, 35332, 759, 7984, 282, 596, 205, 1710, 282, 28310, 841, 205, 17570, 3224, 1027, 1094, 23118, 14795, 30660, 9194, 934, 379, 13037, 346, 1323, 5570, 291, 379, 29385, 339, 37914, 4970, 379, 924, 20684, 384, 4272, 567, 10628, 375, 5200, 21936, 37555, 516, 41623, 7880, 637, 2069, 3150, 47082, 379, 11395, 1326, 925, 4961, 1790, 12819, 339, 25112, 332, 20, 205, 308, 23592, 282, 841, 205, 5476, 25112, 282, 7880, 637, 7674, 7644, 2364, 841, 205, 23, 20, 2177, 645, 1186, 645, 663, 1144, 9266, 29845, 205, 24, 20, 1998, 44625, 645, 4595, 16114, 316, 205, 25, 20, 4364, 1901, 20888, 1047, 312, 11347, 645, 528, 2214, 3873, 652, 34477, 596, 205, 26, 20, 1998, 1901, 14834, 6716, 645, 297, 18036, 645, 13884, 2214, 302, 346, 267, 1218, 156, 239, 373, 34477, 596, 205, 27, 20, 1998, 1901, 1813, 18898, 645, 18413, 29845, 596, 205, 28, 20, 1998, 1901, 13898, 4595, 645, 2177, 477, 7882, 869, 7276, 596, 205, 29, 20, 1998, 7723, 645, 2992, 539, 2148, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 11261, 8560, 911, 420, 1692, 309, 40558, 205, 47514, 6469, 298, 38012, 6659, 8454, 24415, 4245, 298, 339, 2611, 8560, 911, 1692, 29134, 505, 447, 373, 2089, 10107, 490, 359, 15431, 25099, 1021, 309, 5031, 370, 373, 2844, 21076, 298, 28880, 435, 326, 373, 272, 339, 24045, 10544, 298, 311, 1197, 24835, 2401, 298, 22835, 2613, 802, 1021, 49837, 311, 7216, 298, 16579, 25083, 14440, 298, 3251, 1077, 497, 347, 1414, 326, 373, 2522, 339, 37613, 28790, 298, 339, 1694, 33514, 18672, 298, 3201, 44646, 2364, 289, 413, 45892, 359, 3490, 934, 349, 298, 517, 592, 35968, 309, 5031, 370, 373, 2844, 405, 373, 2451, 5922, 9641, 20, 205, 334, 3965, 27605, 3398, 298, 3752, 875, 337, 373, 608, 14144, 21521, 2785, 205, 23, 8812, 266, 346, 263, 346, 267, 463, 227, 156, 239, 346, 277, 463, 308, 413, 300, 346, 267, 463, 750, 420, 285, 463, 272, 420, 412, 599, 291, 463, 263, 346, 267, 420, 354, 413, 284, 346, 156, 239, 1218, 318, 463, 227, 156, 233, 346, 282, 413, 381, 346, 156, 239, 463, 306, 346, 1889, 359, 297, 346, 282, 413, 266, 346, 227, 156, 233, 346, 282, 413, 351, 346, 272, 420, 319, 1356, 5634, 266, 346, 314, 420, 267, 599, 282, 413, 263, 463, 227, 156, 233, 346, 156, 239, 346, 305, 413, 280, 1621, 334, 346, 282, 413, 263, 463, 300, 346, 267, 463, 370, 599, 276, 420, 535, 420, 287, 346, 156, 239, 346, 291, 463, 286, 346, 276, 413, 334, 346, 295, 346, 267, 599, 282, 413, 263, 463, 283, 413, 282, 463, 274, 346, 280, 413, 334, 346, 5634, 291, 346, 274, 599, 388, 322, 420, 320, 346, 288, 366, 346, 349, 346, 267, 346, 288, 351, 346, 357, 346, 227, 156, 239, 346, 288, 227, 156, 233, 346, 156, 239, 463, 274, 346, 294, 346, 156, 239, 463, 267, 420, 156, 239, 287, 346, 276, 346, 156, 239, 463, 267, 346, 285, 346, 294, 413, 277, 463, 280, 346, 337, 463, 263, 346, 308, 463, 272, 420, 284, 346, 156, 239, 463, 267, 420, 297, 346, 276, 420, 411, 463, 286, 346, 337, 463, 284, 346, 272, 420, 319, 413, 9260, 14, 6335, 41020, 32, 9035, 19, 8260, 1195, 205, 24, 8812, 284, 346, 357, 346, 351, 346, 360, 420, 156, 233, 1356, 283, 420, 267, 463, 282, 413, 263, 463, 322, 420, 267, 373, 156, 239, 330, 346, 317, 346, 227, 156, 233, 420, 156, 239, 351, 346, 272, 420, 319, 1356, 5634, 227, 156, 239, 346, 284, 413, 369, 413, 295, 346, 411, 420, 267, 599, 285, 346, 227, 156, 233, 346, 263, 420, 267, 463, 337, 413, 463, 6035, 346, 280, 1218, 284, 420, 319, 346, 16, 295, 346, 411, 420, 320, 346, 288, 283, 420, 274, 463, 267, 346, 288, 287, 346, 285, 413, 267, 599, 288, 301, 413, 272, 346, 3512, 359, 287, 346, 277, 420, 367, 346, 1326, 359, 295, 346, 411, 420, 267, 599, 288, 227, 156, 233, 346, 263, 346, 280, 420, 319, 413, 334, 346, 5634, 351, 346, 357, 346, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 205, 205, 98, 37095, 384, 2230, 24748, 2146, 12594, 17431, 12766, 9329, 5825, 11850, 39773, 13551, 40325, 384, 2230, 24748, 46482, 530, 41338, 19306, 19422, 205, 98, 823, 1180, 15777, 6354, 98, 5429, 205, 2801, 26161, 2785, 2801, 7529, 5191, 2785, 98, 5429, 205, 9, 23, 5429, 205, 35448, 44618, 947, 1423, 3040, 309, 2804, 205, 35448, 44618, 947, 1423, 3040, 309, 2804, 205, 14210, 1610, 4355, 16452, 205, 1689, 5555, 309, 2457, 39175, 409, 40614, 205, 42601, 20, 22673, 38, 13959, 20, 11618, 205, 23920, 44618, 947, 1423, 3040, 205, 15349, 2736, 16494, 6507, 339, 3276, 637, 2270, 637, 848, 2119, 1915, 13327, 20710, 2119, 2535, 596, 205, 290, 15, 4905, 44618, 947, 841, 205, 1405, 9624, 645, 26912, 32526, 841, 7832, 578, 1273, 497, 2392, 512, 19249, 578, 3809, 1087, 578, 298, 855, 282, 637, 43986, 359, 5389, 4701, 4993, 947, 12145, 23162, 359, 596, 22288, 4701, 841, 28157, 282, 298, 17503, 577, 841, 16718, 1419, 596, 1185, 947, 32, 8148, 379, 22452, 841, 1083, 4701, 637, 43986, 359, 12279, 359, 22288, 25210, 23156, 359, 596, 205, 1377, 7384, 8380, 460, 841, 7832, 274, 2930, 1273, 497, 359, 625, 947, 359, 22288, 25210, 841, 4155, 578, 625, 4701, 227, 156, 239, 14295, 282, 1273, 497, 359, 798, 19249, 578, 3809, 1087, 282, 1117, 22288, 4701, 637, 841, 2799, 291, 862, 1117, 1185, 947, 825, 309, 4012, 11715, 596, 205, 45339, 841, 10922, 25210, 43986, 359, 12279, 625, 947, 359, 23961, 359, 379, 6090, 2207, 22015, 329, 9343, 43986, 359, 12279, 287, 1174, 3373, 43986, 359, 23961, 359, 1117, 38847, 394, 4722, 523, 205, 15644, 26434, 339, 44618, 947, 3397, 26665, 3107, 2210, 19554, 3127, 12695, 1212, 38853, 947, 18782, 878, 11973, 46826, 836, 842, 38032, 412, 373, 11580, 494, 305, 15, 826, 1098, 947, 42177, 1624, 373, 46846, 1421, 40148, 412, 373, 617, 3357, 8894, 298, 424, 38853, 947, 18071, 13139, 886, 6418, 2996, 309, 17468, 921, 1474, 4041, 878, 14971, 16346, 2652, 373, 319, 14246, 571, 494, 11788, 274, 373, 14147, 23598, 461, 301, 413, 2632, 267, 373, 1006, 16413, 497, 11936, 1324, 373, 275, 1195, 1487, 2809, 1121, 373, 405, 373, 2988, 28210, 311, 16684, 309, 878, 520, 420, 22491, 20, 205, 40707, 1098, 947, 663, 825, 994, 15728, 802, 359, 1991, 1315, 8188, 980, 413, 2328, 359, 311, 746, 992, 373, 328, 1599, 373, 43322, 424, 43122, 6306, 309, 9426, 878, 17468, 2996, 390, 15252, 3131, 561, 2996, 5722, 20, 205, 276, 15, 4905, 17122, 32, 205, 1996, 3539, 13255, 2338, 19741, 387, 10395, 309, 44618, 947, 18203, 424, 387, 3074, 13336, 366, 413, 1908, 424, 39435, 523, 205, 22949, 284, 2185, 309, 2804, 841, 676, 15853, 14512, 282, 5877, 309, 1202, 611, 311, 15788, 6895, 8177, 2438, 298, 424, 23866, 1180, 339, 9922, 1102, 9168, 298, 21998, 6019, 571, 17122, 17271, 45521, 1085, 373, 275, 359, 1275, 991, 298, 424, 15853, 14512, 282, 637, 2207, 10463, 12581, 1991, 288, 359, 309, 5186, 424, 851, 414, 3073, 752, 14376, 1046, 17122, 18203, 567, 1202, 5466, 2736, 2207, 1183, 12895, 359, 311, 2044, 5200, 3073, 5878, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 47666, 298, 6670, 20813, 4532, 3865, 9543, 3661, 1976, 298, 8006, 8200, 5124, 9410, 398, 9191, 309, 40655, 1836, 298, 27276, 2197, 45860, 1457, 4322, 1858, 21204, 2153, 13593, 24690, 263, 298, 3201, 2845, 16450, 8238, 304, 4738, 11202, 311, 1867, 964, 2632, 2182, 498, 734, 1274, 401, 8, 6327, 8347, 337, 10477, 4562, 5828, 596, 205, 7295, 298, 8361, 9168, 704, 9414, 39220, 8181, 2194, 3661, 1976, 298, 50113, 6670, 20813, 4532, 3865, 298, 4256, 40859, 29260, 14290, 1756, 541, 7473, 11134, 14325, 8295, 1040, 6565, 16546, 4667, 4938, 1910, 1128, 1294, 298, 9226, 15084, 16292, 14668, 1567, 15401, 21528, 1422, 594, 298, 476, 801, 498, 49284, 8, 339, 5723, 1212, 298, 14759, 762, 8951, 9691, 4738, 16607, 1214, 9191, 1880, 22273, 11483, 5230, 4077, 22194, 339, 18772, 43401, 779, 16290, 384, 8347, 7744, 4562, 5828, 1880, 4738, 298, 512, 45173, 384, 16450, 36148, 304, 11202, 311, 1867, 964, 2632, 6327, 8347, 337, 10477, 4562, 5828, 298, 3716, 1038, 498, 734, 43356, 8, 2506, 1952, 1384, 23929, 9779, 10339, 704, 34001, 8239, 20194, 1910, 19810, 596, 205, 1150, 1413, 1172, 738, 274, 5214, 922, 10725, 19, 45393, 4738, 19887, 309, 2894, 5315, 40224, 7392, 298, 512, 2251, 11141, 2682, 497, 4912, 309, 2194, 3661, 1114, 609, 903, 8192, 380, 4983, 33455, 1592, 7460, 3617, 28256, 298, 9940, 3073, 1202, 520, 8520, 4828, 311, 398, 9191, 9779, 4675, 4610, 6237, 8610, 4586, 29293, 339, 2230, 2734, 298, 9940, 297, 36543, 40224, 16394, 384, 1790, 36148, 304, 20, 8107, 4738, 19887, 309, 16292, 2190, 33224, 2662, 6895, 3316, 2374, 31, 311, 1172, 2215, 205, 13795, 1910, 19810, 19780, 309, 337, 4123, 36553, 9865, 596, 205, 15428, 8520, 2368, 298, 9945, 2556, 4738, 43615, 348, 14668, 3551, 1247, 45912, 2577, 9407, 8495, 4444, 398, 9191, 298, 44667, 571, 20223, 1006, 21404, 497, 311, 38720, 309, 16250, 15829, 3258, 435, 1611, 9227, 18882, 5217, 298, 842, 9823, 866, 8904, 9256, 31324, 12889, 5231, 16394, 802, 384, 1790, 36148, 304, 19257, 2150, 332, 733, 2190, 9410, 398, 9191, 309, 40655, 1836, 20, 1687, 384, 6738, 4738, 19887, 309, 16292, 2822, 1976, 287, 41420, 498, 8874, 4331, 8, 911, 4424, 18231, 2543, 12366, 20, 205, 6809, 19, 357, 29233, 3096, 19, 2829, 1036, 326, 3199, 311, 1317, 398, 9191, 4738, 1006, 40737, 8693, 2012, 4387, 16250, 380, 298, 2561, 297, 13351, 39220, 380, 1995, 21711, 16001, 382, 298, 339, 4205, 347, 35951, 3781, 4838, 29946, 2690, 30791, 3815, 398, 2339, 7103, 2683, 1214, 9191, 390, 3815, 398, 2339, 779, 16290, 384, 8347, 7744, 4562, 5828, 596, 205, 632, 49103, 922, 10725, 384, 21528, 5124, 9410, 398, 9191, 298, 48926, 1172, 4974, 367, 470, 1634, 424, 9388, 298, 4465, 356, 35351, 4093, 11961, 298, 18273, 24174, 4093, 11961, 298, 18273, 24174, 1634, 4322, 298, 18273, 24174, 1634, 4079, 298, 18273, 20223, 1131, 2683, 309, 5847, 298, 18273, 24174, 1634, 15532, 298, 18273, 24174, 302, 2453, 319, 20, 8107, 8181, 3661, 298, 22009, 6698, 18273, 649, 15976, 3661, 298, 12407, 470, 3661, 298, 18273, 38650, 3661, 298, 630, 356, 2496, 312, 4328, 1619, 20, 205, 11831, 2625, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 205, 205, 16303, 29, 7907, 8183, 29, 18197, 205, 442, 515, 18979, 2303, 5442, 205, 282, 5429, 205, 34620, 342, 406, 41910, 738, 29131, 5111, 10753, 205, 34, 34, 5429, 205, 48718, 443, 1704, 5720, 4896, 11344, 35876, 5429, 205, 28469, 841, 20760, 1031, 738, 344, 870, 7433, 1901, 5386, 453, 5429, 205, 816, 590, 841, 205, 47605, 21788, 5429, 205, 48718, 443, 1704, 5720, 4896, 11344, 35876, 205, 14, 43028, 5527, 738, 3077, 612, 1095, 19, 330, 2187, 5267, 309, 5784, 4147, 3077, 15, 205, 61, 46, 17760, 43, 3527, 53, 21818, 38769, 43, 28427, 46, 3370, 25965, 3636, 52, 205, 44072, 53, 49, 22400, 3647, 52, 45, 50, 20127, 46, 3636, 52, 2016, 2766, 43939, 18908, 45, 59, 26050, 16595, 52, 58, 36662, 58, 205, 32361, 31784, 32, 2051, 46, 16867, 21910, 3136, 56, 19557, 43, 63, 205, 24017, 578, 36369, 32, 344, 870, 7433, 1901, 5386, 453, 205, 290, 638, 769, 29131, 40447, 738, 1962, 9331, 286, 5826, 3712, 4829, 288, 2551, 22862, 21595, 738, 6183, 1910, 4924, 205, 21606, 32, 205, 2354, 3664, 567, 8344, 36369, 5135, 390, 2186, 753, 403, 16586, 494, 2278, 403, 16586, 1161, 34520, 561, 42945, 676, 646, 21913, 1760, 287, 2186, 753, 1786, 773, 2675, 311, 4814, 14044, 329, 12312, 390, 2026, 4896, 4031, 35876, 462, 1405, 6257, 32, 205, 61, 46, 17760, 43, 3527, 53, 21818, 38769, 43, 28427, 46, 3370, 25965, 3636, 52, 37, 205, 44072, 53, 49, 22400, 3647, 52, 45, 50, 20127, 46, 3636, 52, 2016, 2766, 43939, 18908, 45, 59, 26050, 16595, 52, 58, 36662, 58, 20, 205, 32361, 31784, 32, 2051, 46, 16867, 21910, 3136, 56, 19557, 43, 63, 205, 10569, 1614, 339, 2500, 6237, 339, 9489, 3109, 738, 6881, 1046, 2500, 40458, 30894, 282, 37902, 35933, 4042, 32, 205, 59, 20, 57, 20, 3527, 43, 54, 16867, 24175, 22400, 58, 5061, 44, 3647, 42, 59, 41, 20998, 36989, 20, 205, 53, 44, 44, 22937, 43, 5061, 44, 3647, 42, 59, 41, 20998, 36989, 26050, 3989, 21818, 43, 16867, 41, 46, 2016, 52, 42, 3636, 51, 36024, 53, 60, 22400, 22400, 58, 494, 53, 17760, 47, 1195, 205, 52, 20998, 36989, 26050, 3726, 47, 40, 56, 16867, 63, 5061, 44, 3647, 42, 59, 41, 20998, 36989, 494, 4291, 50, 43, 1195, 205, 18816, 59, 41, 20998, 36989, 26050, 3989, 21818, 53, 28301, 41, 21818, 3636, 52, 44, 24609, 51, 20998, 36989, 2146, 22400, 58, 17760, 494, 17760, 22937, 1195, 205, 910, 466, 387, 19215, 32, 205, 291, 5208, 339, 2340, 12597, 309, 1603, 2301, 311, 2457, 40650, 325, 3527, 32396, 39, 61, 16867, 43, 1760, 1760, 205, 291, 5208, 339, 9851, 309, 13790, 4829, 288, 2551, 22862, 21595, 311, 2457, 366, 6003, 8862, 494, 26050, 48405, 59, 42, 20998, 43, 6371, 52, 43714, 17760, 57, 25965, 63, 18, 4075, 19562, 46, 18908, 45, 58, 21910, 18, 3527, 41, 20511, 1165, 2029, 2846, 309, 5507, 40650, 325, 5720, 37530, 1300, 376, 16993, 20, 205, 728, 6935, 6236, 309, 2810, 390, 2026, 37530, 1300, 376, 16993, 287, 37530, 738, 48222, 12633, 20, 406, 45482, 2290, 1168, 311, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 16024, 637, 5519, 10740, 1066, 4611, 494, 2070, 1760, 3787, 15272, 373, 275, 841, 205, 10712, 6677, 13692, 637, 16120, 205, 46609, 11819, 2535, 205, 25090, 841, 6383, 7824, 881, 31723, 373, 2219, 841, 205, 45117, 282, 567, 9304, 3808, 6606, 596, 205, 30415, 762, 12543, 19907, 379, 10615, 311, 5044, 379, 28539, 25231, 6606, 558, 596, 205, 14943, 2263, 7278, 2336, 10496, 37761, 39197, 33746, 379, 44296, 334, 2855, 15086, 47467, 13483, 596, 205, 2672, 6041, 6151, 3295, 2888, 522, 332, 12385, 379, 16312, 430, 2469, 21141, 373, 303, 1422, 4338, 596, 205, 544, 7125, 493, 12796, 309, 2921, 384, 841, 10756, 13485, 8726, 878, 841, 205, 14, 18318, 379, 6374, 379, 15832, 379, 1310, 833, 408, 379, 25784, 3337, 8750, 379, 16033, 5225, 25908, 373, 275, 1760, 205, 22966, 841, 1033, 12414, 6505, 841, 205, 12673, 493, 10496, 311, 3787, 339, 3368, 309, 841, 205, 303, 2255, 2719, 379, 4891, 329, 373, 303, 6055, 16766, 13726, 26711, 20010, 596, 205, 24493, 1211, 752, 23932, 2221, 20476, 379, 2888, 263, 373, 156, 239, 24209, 21738, 373, 275, 15716, 596, 205, 544, 7125, 493, 12796, 309, 2921, 384, 841, 2483, 43132, 379, 16584, 32153, 311, 2704, 379, 20319, 18832, 4041, 596, 31263, 5225, 25908, 373, 275, 561, 4942, 379, 27309, 7047, 384, 4988, 596, 205, 30423, 841, 10496, 47508, 544, 841, 205, 11367, 306, 344, 1404, 32079, 544, 379, 11717, 6505, 373, 275, 1260, 8503, 373, 275, 20283, 461, 18541, 1019, 855, 3853, 596, 205, 544, 7125, 493, 12796, 309, 2921, 384, 841, 21805, 3765, 931, 5362, 684, 15033, 9809, 40323, 596, 205, 49524, 10742, 339, 7380, 6606, 1580, 35577, 373, 275, 7278, 379, 4584, 3321, 31684, 13906, 2899, 3568, 339, 8933, 596, 205, 7201, 2980, 311, 3787, 2213, 2070, 3787, 903, 7798, 359, 596, 205, 536, 1500, 7834, 2494, 541, 43534, 21807, 205, 334, 7845, 6134, 3425, 10496, 6505, 47033, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 7796, 14205, 4438, 19, 7449, 6501, 205, 409, 26149, 5365, 2859, 2093, 3541, 3551, 2249, 4541, 18, 1720, 12903, 347, 17076, 5708, 2113, 16118, 541, 1671, 805, 898, 3334, 2438, 30176, 2859, 1998, 13746, 3882, 1411, 5151, 6301, 428, 49281, 10472, 339, 1537, 398, 5308, 7643, 22998, 20, 205, 10390, 19108, 5151, 6301, 309, 2530, 442, 45834, 3882, 39619, 5444, 2163, 31008, 7643, 387, 8033, 2337, 40910, 7420, 6696, 2678, 4377, 21, 19851, 19445, 18, 1041, 13746, 3882, 461, 3558, 9578, 1325, 41636, 2336, 1172, 1214, 5308, 541, 33876, 521, 286, 4969, 1708, 640, 309, 6892, 339, 8232, 3114, 7233, 23677, 387, 4362, 428, 9957, 925, 20, 205, 526, 7812, 7361, 19569, 738, 263, 594, 2533, 3057, 8033, 2337, 19, 1046, 1365, 3882, 339, 4073, 4678, 298, 311, 7602, 347, 11017, 4031, 23894, 31235, 309, 31748, 23598, 561, 21112, 49203, 298, 4460, 347, 31673, 311, 4168, 3852, 11717, 339, 1260, 27272, 27275, 2751, 28101, 2809, 20, 205, 770, 6932, 13052, 2638, 387, 3882, 23852, 3334, 2438, 298, 339, 347, 49210, 6576, 13175, 3852, 7470, 317, 3598, 3114, 428, 31811, 5444, 309, 1202, 7644, 5322, 298, 712, 719, 6205, 13745, 309, 9874, 3852, 1168, 311, 6744, 339, 1253, 10658, 428, 702, 24287, 925, 5483, 20, 205, 6938, 282, 2609, 10286, 673, 10106, 1787, 12016, 4401, 29137, 3334, 2438, 18236, 1987, 900, 49824, 2093, 19108, 5151, 6301, 298, 3754, 347, 15659, 3696, 461, 2506, 266, 7849, 498, 263, 8245, 4214, 11911, 3882, 1487, 15402, 558, 298, 10267, 1211, 19759, 387, 3207, 800, 4290, 895, 205, 2696, 309, 2335, 23826, 1392, 347, 19108, 3541, 2854, 7662, 387, 4877, 27990, 41776, 428, 15046, 13052, 2638, 1141, 10970, 347, 8033, 2337, 11369, 332, 21610, 3882, 387, 4073, 4678, 23380, 6378, 3339, 1532, 18223, 461, 45908, 855, 21038, 20, 205, 7267, 339, 347, 7361, 24978, 33639, 2899, 3480, 11795, 13052, 2638, 298, 9356, 762, 1289, 3572, 1987, 40554, 1462, 2337, 428, 13126, 2100, 11966, 3805, 498, 406, 769, 8, 5602, 339, 1368, 12977, 5508, 20, 205, 6218, 384, 347, 2337, 4678, 18, 615, 16023, 3110, 3541, 462, 20198, 9265, 30597, 1489, 39681, 428, 2407, 761, 384, 4865, 1537, 398, 5308, 3382, 461, 4911, 1121, 339, 2667, 2850, 28744, 19881, 1019, 49210, 6576, 20, 205, 19344, 1787, 12016, 49646, 10686, 1104, 15775, 390, 3882, 615, 1184, 1778, 282, 49824, 298, 5732, 384, 347, 1168, 311, 8200, 1943, 4678, 549, 33784, 44253, 1517, 35711, 37970, 274, 390, 2963, 282, 500, 449, 419, 597, 634, 39507, 20, 205, 4056, 347, 13746, 3882, 26177, 309, 4580, 21, 5778, 1698, 311, 700, 8559, 311, 9708, 412, 3106, 738, 8236, 15188, 1081, 16170, 11652, 4432, 2564, 7171, 12604, 558, 431, 3172, 23288, 19, 8388, 309, 6744, 428, 8401, 13745, 2846, 49824, 298, 1041, 5151, 20560, 1482, 592, 22862, 24117, 298, 500, 26473, 5294, 1335, 274, 309, 3844, 309, 24921, 21, 20379, 311, 700, 7073, 20, 205, 43178, 6389, 3087, 898, 3334, 2438, 1998, 9812, 22337, 298, 762, 339, 43364, 9752, 1046, 12931, 6576, 583, 355, 28065, 2249, 4541, 1232, 10125, 1053, 1273, 40639, 49353, 20, 205, 10204, 309, 2335, 23826, 1392, 347, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 14, 2317, 3437, 607, 15, 42009, 205, 12866, 46239, 19612, 1360, 309, 5297, 15201, 21005, 13265, 31376, 608, 15108, 921, 9761, 311, 1921, 428, 505, 1019, 8293, 11806, 561, 2692, 20, 712, 347, 6995, 309, 10783, 676, 4975, 3462, 2692, 11727, 309, 3003, 428, 8303, 1008, 4503, 11585, 359, 884, 3213, 1083, 37351, 380, 712, 8895, 12662, 4808, 1360, 2775, 1490, 31103, 34175, 19153, 2692, 8374, 384, 1556, 3368, 309, 2055, 37613, 20517, 3795, 2692, 7795, 309, 19962, 35905, 309, 2409, 5201, 3846, 29974, 380, 15114, 24895, 10020, 3504, 34921, 35608, 15201, 2650, 1395, 5817, 697, 428, 9349, 4126, 384, 1556, 21438, 1747, 32203, 733, 3304, 512, 25392, 20313, 2958, 3342, 596, 6929, 2095, 2323, 46239, 19612, 337, 9739, 5584, 309, 42009, 505, 2447, 493, 4368, 390, 898, 1307, 1646, 10783, 19612, 309, 1660, 1034, 6212, 2629, 7613, 35374, 541, 2896, 387, 3808, 46239, 19612, 287, 18584, 2692, 18800, 1750, 37025, 309, 9667, 20, 205, 2473, 2093, 9562, 9695, 10954, 1975, 4595, 15927, 486, 1804, 2370, 37351, 6672, 20284, 15351, 22992, 4432, 9503, 1268, 15534, 334, 520, 6469, 4187, 309, 9667, 654, 205, 19, 13498, 2370, 37351, 3521, 9902, 1880, 2692, 11727, 309, 1660, 1034, 1072, 611, 3140, 785, 20, 1013, 1267, 30076, 309, 9667, 1006, 1392, 2975, 4951, 18567, 26278, 46838, 380, 4702, 13190, 298, 11657, 4474, 309, 32152, 1827, 6340, 842, 1337, 1755, 1427, 298, 3032, 309, 1660, 1034, 18567, 25757, 27405, 380, 4702, 13190, 20, 6948, 614, 280, 1046, 25690, 1013, 1267, 19909, 10386, 458, 359, 30255, 32645, 428, 5395, 332, 2692, 387, 13657, 4596, 3152, 311, 4673, 428, 8123, 384, 10384, 1804, 2370, 37351, 6672, 20, 205, 17157, 12319, 2692, 309, 5297, 15201, 20, 47525, 23283, 6479, 428, 595, 347, 37175, 7805, 18800, 309, 9667, 654, 205, 19, 3639, 3491, 4254, 21709, 390, 1844, 309, 1660, 1034, 298, 2565, 6910, 347, 918, 3491, 563, 37821, 2935, 4126, 977, 16666, 24801, 2042, 17023, 384, 1490, 15017, 9897, 3842, 32645, 1093, 664, 304, 387, 13657, 4596, 2811, 4596, 1659, 1104, 1360, 15215, 20, 205, 9784, 42098, 10783, 19612, 1360, 298, 1741, 4805, 4309, 6180, 772, 1259, 666, 347, 918, 21670, 2552, 1256, 19297, 1864, 1019, 654, 205, 19, 5493, 6910, 347, 493, 2785, 6698, 10783, 19612, 17912, 5722, 20, 3433, 1316, 311, 7138, 2692, 309, 9667, 567, 311, 1337, 3366, 546, 35889, 4358, 10710, 37025, 752, 5298, 10783, 19612, 4131, 6358, 561, 2692, 11727, 13162, 9962, 4041, 298, 2749, 5298, 3048, 17868, 6880, 1046, 13516, 311, 6236, 4126, 541, 35689, 298, 41607, 17868, 31243, 309, 1660, 1034, 1159, 1790, 347, 46711, 46472, 4126, 46102, 10426, 20, 717, 347, 10783, 19612, 3048, 11972, 561, 6345, 3053, 5741, 3730, 5875, 3053, 7522, 20, 17209, 428, 1881, 925, 46239, 5185, 4310, 359, 12539, 13699, 1622, 13646, 12334, 1756, 2186, 7633, 309, 5549, 1428, 12891, 3003, 20, 6910, 1046, 918, 20218, 1644, 5159, 46239, 878, 6011, 24621, 842, 7855, 17769, 3730, 1074, 20539, 7360, 520, 4642, 20, 6910, 1046, 20218, 46239, 19612, 5702, 28037, 17912, 5722, 20, 205, 22848, 4362, 428, 1270, 16284, 339, 1013, 1267, 19909, 311, 16684, 1008, 654, 205, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 1377, 11343, 551, 498, 22170, 2811, 3743, 309, 21824, 10936, 925, 5462, 12595, 6085, 21220, 13310, 309, 7659, 16522, 4709, 21586, 8, 5453, 551, 498, 27059, 3656, 311, 953, 5676, 13310, 13954, 309, 37971, 880, 12595, 6085, 33271, 18303, 311, 37971, 895, 205, 8458, 551, 6452, 2811, 494, 7907, 1969, 15, 541, 2788, 2247, 300, 19978, 298, 2064, 311, 19942, 428, 12819, 925, 390, 2602, 20434, 20, 205, 4255, 8243, 7885, 3215, 3949, 5834, 663, 25641, 3007, 3374, 5462, 12595, 6085, 21220, 13310, 2226, 309, 3269, 4709, 21586, 24157, 1833, 35615, 294, 1893, 453, 10581, 298, 5094, 332, 462, 795, 19229, 20, 205, 8953, 1376, 274, 37971, 28271, 288, 1281, 309, 6763, 3847, 20, 1352, 266, 9630, 27271, 15459, 339, 14342, 47955, 309, 4324, 302, 3897, 284, 22142, 298, 287, 7876, 551, 5094, 332, 10936, 5462, 13310, 20, 205, 1377, 14984, 551, 20792, 1379, 9991, 288, 1626, 10048, 311, 3172, 4967, 304, 298, 3499, 12595, 6085, 21220, 13310, 298, 2775, 7659, 298, 24446, 339, 2812, 272, 11449, 25013, 18577, 39037, 309, 2827, 7414, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 314, 12291, 388, 26738, 205, 10712, 6677, 13692, 637, 16120, 205, 290, 21231, 15345, 781, 387, 41754, 6685, 10751, 32888, 379, 4927, 41754, 866, 611, 8795, 4023, 803, 6059, 478, 311, 32888, 7385, 384, 7119, 384, 18212, 10222, 2447, 2236, 3808, 15307, 615, 2257, 205, 2354, 302, 8064, 567, 469, 42086, 6908, 32592, 205, 364, 7359, 6908, 32592, 2035, 205, 43151, 803, 4467, 611, 1212, 2035, 205, 7115, 7359, 3600, 45785, 275, 311, 611, 1637, 2035, 205, 2354, 469, 4603, 21723, 908, 493, 2785, 205, 48907, 347, 825, 918, 2030, 311, 9950, 9320, 2463, 2785, 1880, 31714, 205, 40166, 390, 388, 908, 3701, 5232, 565, 7657, 637, 205, 266, 7639, 16021, 24101, 388, 205, 39, 40, 42, 32396, 46, 22126, 47, 18816, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 416, 1207, 321, 10134, 298, 2406, 298, 16953, 414, 4984, 298, 13930, 31801, 37760, 359, 996, 1094, 5398, 9486, 298, 660, 11765, 383, 3059, 14089, 20, 1486, 2538, 295, 20, 6064, 474, 541, 5909, 847, 2368, 4679, 597, 1560, 1782, 298, 663, 5167, 321, 597, 347, 1697, 6631, 309, 3269, 7933, 9582, 27568, 156, 239, 6843, 1136, 621, 40022, 4961, 298, 806, 3059, 14089, 19033, 10134, 339, 5877, 3891, 309, 4902, 11836, 1114, 4144, 29189, 597, 15577, 282, 1184, 37269, 1434, 305, 569, 15163, 339, 13523, 4823, 31630, 4393, 1560, 8461, 2747, 298, 48697, 5865, 9266, 384, 1875, 11395, 1049, 8959, 2829, 11301, 37760, 1532, 3813, 339, 5527, 20, 205, 1098, 1181, 293, 2029, 1159, 30315, 885, 483, 311, 1337, 2231, 1691, 309, 6169, 3344, 1072, 2194, 2532, 842, 1337, 4243, 6086, 3932, 1081, 34936, 35510, 1390, 9914, 28217, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 4222, 373, 156, 233, 2848, 5865, 7900, 2482, 321, 1382, 309, 205, 24549, 4160, 11262, 897, 2754, 205, 577, 350, 3590, 309, 11055, 6020, 11262, 205, 470, 8674, 1516, 49521, 561, 1360, 20634, 20, 205, 6929, 332, 15167, 458, 359, 31938, 359, 309, 1659, 1104, 1360, 1159, 700, 205, 2485, 6687, 596, 205, 3523, 48495, 359, 287, 9920, 298, 387, 11262, 42246, 48495, 359, 4263, 387, 15843, 205, 20462, 2438, 4135, 717, 2054, 558, 9920, 4263, 387, 205, 47610, 422, 2438, 205, 13320, 847, 303, 1104, 31558, 29856, 205, 40707, 20300, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 25, 19, 3999, 4961, 334, 3330, 2035, 205, 266, 2215, 4276, 4359, 29662, 1006, 19328, 6734, 379, 205, 266, 5541, 541, 8544, 17654, 287, 9034, 567, 18932, 494, 26, 94, 2890, 15, 424, 6997, 13638, 48398, 379, 205, 7738, 2215, 18932, 4297, 2017, 384, 1384, 40087, 28345, 339, 1837, 379, 1530, 6145, 36282, 293, 8177, 22467, 563, 6232, 339, 1837, 19328, 18932, 3330, 287, 49257, 288, 14207, 13025, 7859, 478, 311, 6997, 494, 4524, 384, 323, 1658, 1760, 19328, 18932, 3330, 379, 287, 2490, 3708, 802, 2289, 2064, 631, 8734, 387, 3865, 493, 10672, 2336, 19328, 493, 10672, 16689, 2294, 2666, 379, 802, 35944, 1858, 43487, 309, 28075, 18932, 3330, 309, 9275, 4208, 493, 35944, 4480, 20722, 637, 3598, 1691, 309, 33671, 2336, 5264, 384, 9450, 5255, 387, 846, 357, 3567, 11889, 282, 596, 3092, 512, 1384, 40087, 28345, 339, 1837, 10328, 34359, 18932, 494, 17654, 287, 36850, 1919, 23274, 384, 18134, 14631, 287, 9034, 287, 36850, 1919, 23274, 629, 6205, 1837, 9034, 1760, 1530, 17676, 347, 2490, 3708, 19328, 18932, 3330, 287, 10171, 18932, 10310, 287, 6630, 339, 1837, 8767, 1782, 596, 205, 470, 2095, 21486, 3330, 359, 717, 5892, 309, 21193, 283, 608, 494, 366, 361, 7784, 287, 5281, 46928, 287, 15789, 12157, 282, 1760, 15896, 2022, 2877, 493, 287, 469, 283, 28360, 478, 2035, 205, 1066, 2236, 10672, 663, 6966, 12515, 1609, 17654, 1625, 1051, 561, 14489, 287, 1691, 379, 4208, 14489, 1000, 33671, 18685, 5915, 663, 25630, 397, 45670, 309, 2785, 379, 2490, 3708, 366, 361, 7784, 42284, 2330, 6857, 3758, 710, 598, 379, 287, 1474, 567, 5824, 2330, 6857, 5281, 46928, 287, 15789, 12157, 4524, 384, 5271, 3824, 561, 1691, 494, 48398, 1367, 1760, 287, 2242, 23171, 1625, 1051, 596, 8827, 14489, 35258, 558, 283, 28360, 478, 17037, 280, 1739, 428, 1280, 332, 1691, 13575, 2072, 1625, 1051, 379, 1750, 1280, 2962, 1852, 1739, 46617, 805, 24078, 39782, 38541, 379, 287, 597, 15181, 43594, 287, 16518, 35118, 2498, 5968, 23960, 869, 35364, 1625, 1051, 494, 283, 43317, 16910, 1760, 596, 205, 266, 2055, 14489, 3132, 6579, 1451, 379, 297, 531, 431, 746, 39713, 505, 13488, 311, 1045, 19941, 287, 1768, 469, 17582, 290, 227, 9832, 311, 1045, 7565, 1280, 30749, 390, 14489, 20, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 205, 205, 767, 32, 9058, 2996, 309, 3785, 364, 45963, 446, 2255, 156, 233, 29986, 22932, 3071, 14447, 387, 6716, 1747, 205, 2594, 9562, 9695, 10954, 1975, 4595, 645, 6832, 3484, 7599, 738, 41831, 637, 40793, 19, 5369, 5001, 13177, 17331, 1899, 1602, 42930, 40849, 516, 355, 458, 2996, 309, 26361, 6053, 10413, 364, 6053, 1006, 21068, 9858, 311, 14537, 2231, 1691, 1248, 1008, 22103, 29506, 21583, 26330, 12915, 7916, 1058, 19289, 20, 205, 7030, 8947, 3398, 5369, 520, 4770, 3191, 5236, 40849, 516, 355, 458, 9682, 47041, 2996, 918, 19350, 288, 359, 7103, 5974, 428, 3932, 4761, 2197, 5575, 4065, 5658, 571, 596, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 280, 7255, 1191, 283, 413, 534, 346, 296, 420, 263, 390, 6329, 2438, 517, 17791, 18443, 1863, 16600, 205, 35630, 1191, 309, 1135, 10034, 9291, 10727, 2166, 671, 2761, 918, 37409, 298, 469, 676, 11439, 995, 23671, 654, 205, 474, 18423, 25383, 3644, 282, 32, 1198, 461, 2676, 1081, 347, 2843, 11916, 25289, 2312, 19099, 7772, 7173, 20, 897, 14746, 753, 17144, 878, 498, 22609, 1457, 8, 287, 8, 1526, 7070, 3691, 8, 287, 8, 1181, 542, 1457, 8, 41982, 1864, 2447, 1159, 1952, 20, 205, 6929, 3742, 13599, 541, 26696, 933, 1186, 11452, 2095, 4580, 21, 5778, 1698, 1473, 298, 3419, 1895, 387, 347, 933, 4769, 599, 156, 233, 1762, 384, 41231, 358, 5030, 1762, 2415, 1863, 1457, 20, 205, 804, 29684, 2761, 462, 3976, 12071, 493, 3742, 13599, 298, 1273, 16931, 21676, 2543, 11414, 359, 390, 3742, 13599, 49892, 10448, 3318, 597, 2086, 1307, 1582, 20, 205, 20523, 3629, 1159, 571, 1135, 6166, 2090, 19085, 10471, 458, 8101, 5868, 20, 918, 802, 5911, 39875, 1281, 1040, 7195, 1230, 311, 5639, 7233, 428, 13103, 309, 1216, 461, 2287, 1081, 14825, 1579, 803, 4900, 925, 309, 1230, 311, 3800, 20, 205, 6283, 4992, 10240, 11452, 1191, 311, 615, 45249, 309, 12201, 1385, 1683, 2895, 654, 205, 327, 595, 44986, 4366, 1449, 20, 611, 469, 309, 18620, 397, 567, 1959, 1277, 11307, 469, 11676, 11452, 387, 19187, 309, 3145, 2384, 32606, 311, 4293, 10222, 2447, 27101, 1172, 20, 205, 7059, 505, 311, 14177, 347, 227, 156, 239, 346, 1179, 413, 272, 2093, 17932, 2384, 309, 1698, 311, 4562, 21, 6304, 1316, 311, 746, 3541, 7975, 298, 1172, 541, 505, 311, 7602, 2353, 2843, 12453, 5382, 1033, 22739, 11721, 20, 1072, 493, 2761, 461, 3629, 1121, 3887, 1524, 2090, 19085, 1165, 7335, 20, 205, 317, 1954, 1540, 567, 347, 493, 3742, 13599, 567, 3356, 311, 11452, 12022, 2843, 12453, 772, 1684, 3088, 520, 19433, 3303, 748, 38126, 36451, 690, 1071, 286, 2319, 3404, 1315, 26830, 424, 1580, 277, 3546, 11532, 311, 746, 4048, 2691, 4135, 424, 10081, 3573, 309, 3689, 20, 205, 442, 5352, 4352, 5277, 1858, 3453, 7005, 298, 9642, 4805, 23724, 5277, 654, 205, 13911, 5277, 6456, 339, 753, 3768, 1420, 2438, 298, 3786, 309, 4450, 8361, 17162, 2312, 595, 339, 26487, 4370, 1863, 47865, 16600, 20, 461, 3580, 5277, 339, 48903, 25275, 20, 9823, 753, 19952, 428, 4359, 384, 4525, 13569, 3717, 20, 1041, 798, 505, 8805, 5153, 309, 1863, 13283, 424, 1863, 12080, 424, 772, 1459, 5448, 41231, 701, 7344, 10561, 594, 6456, 11429, 2547, 15518, 2196, 20, 205, 16480, 700, 10212, 752, 387, 8361, 27094, 384, 1085, 1312, 9470, 1474, 2625, 5779, 4362, 878, 5170, 3179, 8561, 4078, 2675, 6652, 3849, 7195, 9643, 4108, 20, 595, 2652, 493, 28265, 3014, 29798, 3120, 636, 1457, 309, 1191, 20, 205, 804, 373, 11919, 588, 675, 334, 14241, 3983, 27859, 811, 700, 298, 5076, 18675, 654, 205, 3639, 1168, 311, 19952, 309, 5277, 428, 11370, 498, 1402, 358, 3495, 544, 8, 712, 32088, 2643, 339, 12648, 811, 1312, 298, 1991, 339, 1694, 11591, 424, 309, 4152, 2520, 8391, 339, 5766, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 98, 13795, 19, 11754, 19, 29958, 18, 19311, 32, 9330, 2801, 23, 98, 5429, 205, 605, 782, 7331, 205, 28810, 643, 19, 13687, 19, 29958, 205, 402, 24827, 1128, 3676, 5429, 205, 83, 32, 205, 15349, 413, 2736, 9246, 16494, 413, 6507, 413, 339, 10058, 420, 347, 474, 360, 420, 282, 379, 13893, 1186, 921, 1915, 13327, 420, 20710, 420, 23512, 18829, 205, 1405, 15882, 30550, 309, 8171, 4967, 67, 340, 413, 266, 346, 455, 420, 156, 239, 375, 346, 156, 233, 346, 284, 346, 285, 413, 263, 463, 283, 420, 267, 463, 301, 413, 272, 346, 350, 921, 566, 413, 263, 599, 283, 420, 267, 463, 354, 413, 306, 463, 281, 346, 275, 921, 566, 413, 263, 599, 283, 420, 267, 463, 300, 346, 156, 233, 346, 284, 420, 275, 921, 566, 413, 263, 599, 227, 156, 239, 413, 310, 463, 272, 420, 296, 413, 285, 413, 263, 463, 457, 420, 281, 463, 327, 12867, 1654, 65, 14, 17858, 480, 2836, 32, 43254, 15304, 15, 205, 1377, 6371, 67, 637, 413, 455, 420, 156, 239, 375, 346, 156, 233, 346, 284, 346, 285, 413, 263, 463, 283, 420, 267, 463, 584, 346, 277, 463, 281, 921, 566, 413, 263, 599, 366, 346, 277, 346, 156, 233, 346, 283, 420, 267, 463, 294, 346, 277, 463, 280, 420, 584, 346, 277, 463, 281, 921, 351, 413, 782, 1654, 65, 494, 17858, 10715, 32, 43254, 27, 15, 205, 1469, 1063, 3636, 67, 897, 346, 156, 239, 420, 295, 346, 267, 463, 281, 420, 286, 420, 285, 413, 263, 463, 295, 346, 281, 346, 327, 301, 413, 276, 463, 305, 420, 272, 413, 334, 463, 2148, 494, 17858, 455, 4085, 32, 43254, 1713, 15, 205, 8745, 2214, 13349, 4849, 347, 6359, 12474, 1063, 841, 494, 648, 32157, 8544, 309, 21135, 16485, 18932, 3330, 359, 23800, 991, 924, 971, 300, 2617, 878, 571, 379, 924, 825, 1593, 4944, 878, 571, 379, 924, 19727, 1975, 309, 1724, 310, 1081, 5225, 379, 7878, 488, 39013, 7328, 841, 46791, 379, 10115, 478, 379, 44069, 379, 1352, 934, 666, 4374, 15, 290, 20083, 10482, 20, 205, 648, 1965, 12262, 1965, 31888, 298, 48658, 36980, 1560, 7316, 282, 1033, 988, 1253, 397, 918, 379, 877, 2416, 397, 555, 296, 34834, 578, 1515, 354, 31843, 311, 39567, 2534, 27935, 347, 354, 21087, 16352, 282, 298, 855, 5119, 11353, 1121, 5907, 4458, 9126, 28545, 2002, 538, 1033, 263, 633, 300, 1397, 41714, 34982, 282, 7731, 621, 379, 855, 7470, 493, 13321, 733, 493, 1702, 1053, 379, 1273, 7989, 397, 708, 6688, 319, 2072, 19494, 347, 2204, 285, 13144, 493, 31744, 7731, 267, 1968, 348, 9778, 580, 35747, 22911, 29960, 379, 3663, 920, 2538, 20, 205, 2672, 351, 413, 286, 1218, 263, 346, 274, 463, 3246, 12262, 384, 2381, 10965, 494, 29476, 1709, 1070, 8113, 1070, 25779, 15, 4466, 803, 4781, 309, 520, 448, 684, 303, 42256, 339, 1768, 520, 8711, 24124, 1165, 3246, 12262, 10890, 3647, 2102, 17234, 10835, 32399, 78, 20958, 544, 1871, 1145, 2620, 3246, 469, 746, 4093, 2240, 35775, 802, 359, 11735, 42229, 379, 1212, 3246, 23732, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]