gguichard/coref_dataset · Datasets at Hugging Face

input_ids sequence	labels sequence
[ 5, 280, 22, 14, 426, 974, 128, 28, 25, 16147, 20, 10, 244, 53, 3681, 24, 515, 220, 7, 452, 120, 20, 8, 244, 1571, 14, 510, 120, 20, 8, 1751, 1571, 26, 18, 5009, 17165, 11, 7251, 13, 7, 566, 120, 20, 8, 774, 1571, 14, 509, 126, 20, 8, 3064, 1571, 26, 18, 5009, 17165, 11, 7, 22668, 10484, 13, 491, 12, 3681, 7, 12, 8967, 7, 686, 974, 14, 704, 3374, 1738, 20, 10, 694, 53, 2555, 8667, 7, 760, 19450, 14, 350, 2323, 4417, 26, 18, 5009, 17165, 11, 7251, 176, 853, 2323, 14, 2431, 3225, 4417, 26, 18, 5009, 17165, 11, 7, 22668, 10484, 20, 10, 3992, 18, 5009, 17165, 11, 20, 8, 18, 31462, 11, 55, 1702, 41, 654, 13, 41, 9828, 27, 18, 22410, 20, 10, 178, 281, 21, 2593, 398, 2859, 182, 7, 4969, 461, 5009, 17165, 11, 37, 1509, 20, 10, 973, 143, 3911, 2955, 61, 5009, 17165, 11, 55, 188, 79, 24369, 11, 63, 8800, 10860, 13, 9673, 7, 89, 6057, 3627, 20, 10, 2150, 14, 1664, 19, 2419, 7, 2973, 2655, 7, 3647, 1677, 20, 8, 18, 2342, 289, 984, 837, 18, 29732, 2048, 11, 19, 5009, 17165, 11, 82, 3674, 19, 7078, 23, 3568, 2206, 26, 16129, 75, 974, 29, 975, 14, 396, 7, 4134, 6256, 20, 10, 463, 205, 635, 12, 835, 17, 22, 25, 6478, 20, 8, 3340, 18, 2504, 12, 31771, 111, 33, 3447, 25, 3248, 7316, 7, 1892, 3456, 11755, 82, 142, 13158, 35, 157, 5752, 784, 20, 8, 25, 1979, 494, 37, 324, 36, 4568, 4848, 15, 22, 11991, 7, 3026, 15, 22, 70, 1567, 1515, 14, 4453, 11827, 13, 774, 15, 22, 11991, 7, 4989, 6257, 1156, 20, 10, 460, 16147, 125, 814, 33, 16, 16495, 7, 15, 22, 4225, 20, 8, 144, 3216, 262, 20, 3210, 1104, 30, 486, 231, 6962, 35, 21, 4335, 2219, 12082, 11, 7, 19160, 20, 10, 20, 3, 5642, 9324, 20268, 391, 55, 108, 9629, 27, 5301, 18, 10914, 11, 6567, 11, 2909, 20, 10, 9298, 14, 97, 3773, 29, 380, 33, 5227, 12, 536, 7, 5782, 327, 26, 314, 110, 16, 5009, 17165, 30, 6240, 25, 297, 2974, 20, 10, 142, 13158, 35, 157, 5752, 784, 38, 95, 1343, 33, 1304, 4710, 19, 5009, 17165, 11, 7, 22668, 10484, 13, 5379, 19, 5009, 17165, 11, 19, 9297, 11, 20, 10, 6830, 138, 22, 209, 620, 20, 26823, 6120, 12, 2655, 14, 6400, 17, 22, 209, 1619, 82, 6822, 5026, 18, 15, 143, 3086, 8226, 20, 8, 3976, 18, 20, 11206, 2545, 72, 13, 6336, 18, 234, 784, 1515, 20, 10, 5408, 147, 6116, 6627, 419, 110, 16, 5009, 17165, 30, 1371, 14, 29732, 10860, 45, 1376, 14, 29732, 9673, 20, 10, 5800, 229, 395, 38, 10168, 5695, 1751, 7, 669, 13733, 45, 7883, 2634, 30606, 11, 20, 8, 77, 7691, 19, 7764, 41, 2342, 5186, 20, 10, 7254, 2667, 19, 29732, 3374, 61, 1475, 3136, 7, 5009, 17165, 11, 613, 7, 7187, 1287, 5369, 23, 23906, 20, 10, 6526, 61, 4303, 6232, 1702, 20, 6 ]	[ 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 424, 102, 69, 22, 30, 39, 4065, 69, 22, 30, 39, 71, 1123, 39, 69, 22, 40, 104, 14, 9164, 56, 109, 38, 29, 29, 145, 10114, 271, 41, 1357, 527, 51, 22, 56, 109, 38, 271, 41, 17, 22, 1255, 56, 109, 21, 38, 2453, 45, 1435, 2919, 14, 17203, 56, 109, 21, 38, 148, 27, 689, 2919, 13, 13, 365, 69, 22, 30, 12, 145, 4937, 30, 271, 41, 271, 400, 16964, 44, 32, 84, 51, 22, 56, 109, 38, 207, 12232, 13, 365, 56, 109, 38, 19, 10516, 7, 16697, 13, 365, 13, 109, 38, 197, 29, 29, 2928, 23, 197, 29, 1795, 527, 27, 71, 140, 22, 6937, 175, 24, 24, 9997, 7, 9164, 38, 102, 1291, 208, 153, 71, 1306, 14, 9164, 13, 71, 2730, 82, 36, 415, 29, 1795, 32, 30, 21525, 35, 424, 102, 69, 22, 30, 12, 478, 7, 54, 22, 20, 16321, 408, 236, 408, 236, 11796, 100, 1206, 203, 13, 348, 71, 50, 1814, 39, 27, 44, 187, 29, 1795, 7, 981, 2797, 32, 5430, 203, 29, 1795, 7, 1809, 13, 7, 907, 28, 1007, 100, 1777, 424, 102, 36, 415, 14, 210, 69, 22, 30, 39, 26, 335, 27, 121, 18, 1255, 55, 87, 16448, 11, 703, 7, 332, 77, 1006, 100, 1206, 109, 38, 19, 19, 10516, 7, 56, 109, 38, 19, 2078, 32, 55, 12203, 32, 55, 32, 55, 87, 28697, 72, 107, 23, 179, 39, 26, 243, 475, 77, 1006, 32, 32, 511, 19, 2810, 77, 498, 424, 102, 1289, 238, 576, 186, 10114, 14, 20, 3, 17203, 391, 275, 348, 113, 22, 18080, 25, 344, 154, 5007, 21, 254, 12, 254, 17, 22, 1196, 14, 210, 56, 109, 228, 29, 1795, 7893, 14, 17203, 69, 22, 186, 100, 228, 15, 22, 6044, 27, 18, 2078, 1545, 559, 7, 89, 1143, 46, 424, 102, 159, 17576, 11, 424, 102, 39, 238, 1389, 5181, 72, 366, 24, 79, 1006, 275, 100, 30, 14, 1435, 2453, 128, 46, 19, 10868, 33, 12, 2413, 25, 344, 154, 7229, 39, 22219, 11, 13, 14, 9164, 21608, 14, 9164, 69, 22, 30, 122, 18, 117, 1291, 11796, 14, 9164, 109, 38, 203, 49, 9449, 242, 7, 210, 69, 22, 40, 18, 997, 23, 18, 607, 55, 511, 19, 2810, 30, 23, 272, 27, 69, 22, 186, 498, 617, 475, 17, 22, 15716, 14, 17203, 12, 2282, 45, 30, 23, 272, 27, 69, 22, 186, 107, 23, 179, 16, 700, 51, 22, 100, 1347, 28, 221, 18, 6184, 550, 21, 7308, 82, 21, 134, 74, 37, 499, 71, 1814, 27, 69, 22, 30, 69, 22, 30, 25, 3530, 69, 22, 30, 7, 12, 14535, 1291, 38, 102, 1291, 408, 236, 5739, 135, 109, 38, 2590, 203, 3836, 1291, 219, 3819, 51, 22, 66, 109, 38, 6012, 17, 22, 953, 26, 16, 310, 109, 38, 203, 13232, 679, 7, 44, 532, 23, 1268, 110, 48, 2182, 71, 71, 17, 22, 29, 478, 9761, 71, 1610, 39, 5354, 1726, 169, 39, 19, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 2047, 26, 15, 22, 1117, 21295, 77, 18, 303, 55, 195, 2866, 11, 25, 154, 14, 541, 23, 2570, 1291, 71, 52, 23, 408, 236, 56, 109, 38, 19, 13416, 56, 109, 38, 19, 408, 236, 13416, 71, 1814, 1291, 1291, 69, 22, 40, 39, 2124, 110, 69, 22, 40, 29, 395, 7, 12, 2584, 2118, 22, 93, 340, 38, 102, 1291, 69, 22, 40, 39, 7487, 77, 348, 113, 22, 3580, 408, 236, 627, 95, 26, 48, 7229, 527, 27, 71, 529, 27, 12, 576, 50, 258, 39, 1491, 82, 203, 28, 59, 5731, 130, 258, 348, 113, 22, 105, 6464, 23, 3725, 271, 21, 8122, 185, 12, 612, 7, 183, 2711, 38, 102, 1291, 1291, 271, 7, 7, 6899, 2271, 71, 235, 7172, 17, 22, 561, 3220, 1291, 1291, 13, 203, 140, 22, 57, 84, 1406, 7, 348, 23, 549, 2079, 12, 576, 424, 102, 56, 139, 714, 27, 14, 12, 443, 195, 69, 22, 40, 39, 87, 615, 49, 10665, 169, 615, 6673, 1291, 24, 8409, 615, 28, 361, 615, 615, 7799, 111, 89, 2711, 21295, 1291, 69, 22, 40, 29, 145, 25, 154, 69, 22, 40, 39, 7487, 7864, 108, 52, 22, 40, 23, 272, 39, 208, 424, 102, 1291, 417, 27, 18, 303, 55, 765, 71, 791, 27, 12, 1138, 258, 99, 14, 12, 443, 1291, 13, 51, 22, 40, 23, 272, 27, 48, 1517, 7, 90, 136, 980, 12786, 74, 71, 7707, 38, 102, 38, 102, 305, 208, 69, 22, 40, 23, 167, 23, 1504, 16, 16, 854, 74, 45, 424, 102, 16, 54, 23, 20728, 1291, 71, 4582, 12, 2659, 1291, 1291, 275, 69, 22, 40, 87, 275, 71, 2730, 27, 69, 22, 40, 617, 475, 424, 102, 13780, 45, 2321, 408, 236, 69, 22, 40, 3418, 1291, 21, 340, 69, 22, 40, 3418, 274, 64, 274, 48, 108, 74, 1291, 20728, 1291, 1291, 109, 38, 19, 1291, 69, 22, 40, 1959, 424, 102, 20, 3, 12, 852, 2387, 21, 1825, 23, 8384, 391, 1291, 69, 22, 40, 39, 2418, 69, 22, 40, 275, 104, 1291, 1006, 71, 8015, 13, 275, 69, 22, 40, 430, 71, 7707, 1291, 71, 7707, 13, 1291, 113, 22, 1250, 271, 837, 45, 208, 71, 1306, 37, 1652, 45, 38, 102, 305, 71, 1306, 37, 1237, 13, 16, 913, 74, 13, 16, 913, 13, 16, 938, 74, 38, 102, 21608, 16, 80, 23, 48, 1254, 135, 16, 913, 74, 169, 332, 113, 23, 71, 1610, 12, 4795, 274, 348, 38, 102, 1291, 69, 22, 40, 16, 16, 4945, 424, 102, 25, 10516, 7, 634, 27, 113, 22, 105, 2866, 21, 2577, 16, 913, 13, 365, 16, 938, 71, 235, 4861, 208, 71, 1306, 14, 12, 8670, 1291, 261, 125, 13, 113, 22, 105, 19, 5244, 7, 15123, 11, 408, 236, 45, 71, 23268, 406, 303, 1291, 45, 208, 46, 19, 15123, 11, 424, 102, 185, 79, 10761, 527, 27, 64, 54, 23, 64, 2784, 64, 17424, 1291, 314, 18, 15530, 314, 617, 475, 424, 102, 20728, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 129, 228, 230, 19687, 31, 773, 47, 60, 22, 445, 67, 309, 1188, 20, 8, 5935, 74, 65, 146, 16, 5935, 228, 230, 46, 20, 27251, 125, 31, 47, 1252, 20, 8, 169, 20, 8, 69, 22, 30, 29, 573, 26744, 7, 411, 32, 140, 22, 38, 84, 1881, 78, 395, 20, 10, 65, 70, 10481, 7097, 1081, 2718, 20, 8, 77, 21, 8228, 20, 8, 56, 3947, 25, 1799, 14, 2153, 162, 20, 8, 32, 16, 1014, 81, 20, 10, 460, 36, 218, 1817, 15872, 830, 20, 8, 13, 16, 1954, 230, 21, 17117, 111, 12, 585, 1082, 31, 47, 237, 22, 20, 6340, 39, 27, 79, 3031, 7, 48, 20, 8, 2153, 162, 137, 71, 48, 6036, 11, 51, 22, 188, 311, 239, 20, 8, 48, 3935, 12, 576, 24, 10281, 20, 8, 110, 48, 12345, 406, 1163, 137, 13, 348, 113, 22, 4132, 4774, 12, 1082, 24, 6754, 2198, 20, 10, 94, 9641, 406, 2397, 48, 49, 75, 7202, 108, 18, 13868, 11, 20, 10, 65, 2153, 162, 6265, 25, 4841, 13719, 12090, 20, 8, 13, 275, 130, 29671, 274, 130, 20, 8, 85, 979, 27177, 11, 23636, 51, 22, 130, 228, 11168, 143, 20, 10, 224, 228, 14, 1246, 4827, 80, 198, 687, 7, 3173, 20756, 35, 20, 8, 701, 12, 4778, 9641, 35, 21, 1598, 20, 8, 14076, 33, 25, 4296, 20, 8, 12, 786, 24, 10281, 20, 10, 2153, 162, 27177, 81, 110, 21412, 27, 80, 15345, 15, 22, 21, 12994, 57, 20, 10, 773, 47, 73, 22, 30, 16, 10281, 7, 237, 6850, 1042, 20, 8, 230, 2153, 162, 20, 8, 32, 419, 14, 99, 1474, 137, 56, 18316, 378, 65, 20, 8, 12436, 57, 23, 81, 67, 162, 20, 8, 21, 5195, 4285, 18, 979, 20, 8, 82, 110, 130, 23383, 424, 1329, 27, 3173, 20756, 35, 109, 358, 12747, 837, 16, 10932, 51, 22, 130, 2123, 20, 8, 21, 10813, 27, 16, 10281, 6026, 378, 274, 20, 3, 130, 391, 20, 10, 47, 3172, 67, 1268, 20, 8, 12436, 57, 23, 81, 67, 162, 20, 8, 113, 22, 9591, 27, 48, 15, 22, 6807, 316, 225, 14, 646, 7, 348, 20, 10, 65, 773, 47, 124, 7006, 20, 8, 3947, 80, 15345, 20, 8, 46, 25, 3279, 16640, 20, 8, 69, 22, 30, 90, 21966, 225, 65, 146, 2153, 162, 50, 12, 486, 1966, 3012, 57, 39, 137, 130, 4738, 11948, 81, 7, 50, 39, 205, 1568, 20, 8, 13, 49, 16, 1696, 26, 851, 37, 551, 7, 5879, 20, 8, 32, 21, 8621, 20, 10, 224, 673, 57, 3173, 20756, 35, 20, 8, 27, 16, 585, 739, 49, 13005, 57, 2068, 19, 979, 20, 8, 571, 51, 22, 56, 6265, 8583, 16, 5914, 24, 1821, 20, 8, 13, 121, 311, 54, 22, 10177, 12202, 13, 39, 11, 1817, 830, 29, 1962, 7, 4245, 567, 646, 1037, 20, 10, 3173, 20756, 35, 20, 8, 32, 228, 4827, 197, 12, 12363, 7, 59, 2563, 20, 8, 186, 498, 29776, 35, 7, 1855, 20, 8, 701, 5879, 12, 1140, 242, 20, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 144, 56, 30, 1473, 30, 23, 272, 27, 48, 425, 745, 19, 607, 17, 22, 12763, 3470, 74, 1291, 1291, 252, 88, 29, 112, 2822, 10331, 21, 1333, 1291, 100, 64, 2416, 18, 1291, 1006, 48, 425, 18, 8804, 18, 4628, 17, 22, 12763, 25, 154, 74, 100, 64, 2416, 18, 4628, 17, 22, 12763, 100, 64, 2416, 21, 1333, 51, 22, 40, 23, 272, 27, 203, 657, 335, 74, 424, 102, 527, 27, 113, 22, 105, 371, 1754, 3413, 424, 102, 71, 1814, 27, 203, 8158, 424, 102, 110, 203, 8158, 600, 703, 203, 112, 703, 1291, 8158, 14, 12, 710, 7, 12, 22126, 14965, 75, 32, 860, 677, 156, 16, 2888, 33, 25, 19, 12349, 17, 22, 12763, 13, 27, 18, 939, 1308, 57, 3873, 49, 2818, 6042, 11, 14, 1944, 29, 424, 102, 39, 29, 424, 102, 25, 19049, 2590, 1291, 13, 172, 20728, 4020, 23, 66, 27, 64, 482, 18, 4628, 17, 22, 12763, 1291, 20728, 18, 939, 1308, 57, 3873, 55, 600, 4618, 26, 18, 5745, 1291, 77, 373, 15, 22, 2561, 1308, 57, 3873, 30, 275, 104, 600, 2322, 140, 22, 13162, 1291, 56, 30, 39, 1784, 17722, 56, 30, 39, 424, 102, 9150, 2880, 1089, 56, 1377, 85, 5634, 26, 129, 56, 30, 39, 56, 30, 39, 1486, 404, 3017, 7943, 100, 30, 600, 5322, 2760, 2129, 597, 55, 600, 5322, 2760, 2129, 11, 51, 22, 40, 23, 272, 51, 22, 66, 38, 82, 424, 102, 9317, 2007, 74, 6156, 69, 23, 6156, 21, 79, 69, 22, 40, 969, 14, 335, 527, 51, 22, 66, 30, 56, 30, 31634, 77, 1006, 30, 23, 272, 27, 69, 22, 40, 1784, 1784, 100, 107, 39, 335, 25, 2341, 424, 102, 56, 30, 31634, 110, 69, 22, 40, 810, 424, 102, 100, 30, 31634, 64, 18, 939, 1308, 57, 3873, 1291, 21608, 203, 100, 107, 39, 335, 27, 69, 22, 40, 77, 1006, 30, 23, 272, 27, 69, 22, 40, 25, 2341, 74, 71, 791, 39, 28, 20, 3, 746, 1555, 391, 36, 415, 51, 22, 86, 230, 6156, 109, 38, 109, 38, 16, 1057, 3421, 86, 32, 30, 32, 30, 32, 30, 8539, 4630, 11796, 31634, 108, 31634, 1291, 69, 22, 40, 107, 23, 179, 527, 27, 100, 38, 25, 532, 7, 12, 3669, 272, 3470, 424, 102, 1291, 69, 22, 40, 107, 23, 179, 203, 108, 1291, 275, 104, 100, 230, 21, 7337, 19, 19, 1057, 272, 1763, 252, 55, 31634, 11, 13, 1291, 208, 15, 22, 2561, 1308, 57, 3873, 71, 235, 39, 17, 22, 12763, 69, 22, 40, 1006, 110, 100, 845, 16, 203, 2389, 424, 102, 110, 100, 845, 16, 142, 19796, 13912, 56, 38, 39, 24, 79, 12, 104, 15492, 38, 102, 169, 39, 24, 79, 252, 55, 17, 22, 785, 252, 55, 271, 41, 10090, 11, 48, 2209, 274, 541, 252, 55, 39, 275, 48, 16121, 252, 55, 41, 6708, 82, 424, 102, 82, 607, 77, 69, 22, 40, 203, 69, 22, 40, 108, 587, 424, 102, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 18, 9883, 7, 2612, 21, 1546, 886, 19, 1177, 3408, 7, 4182, 13, 7, 540, 20, 8, 32, 84, 250, 15227, 7, 44, 850, 20, 8, 155, 27, 18, 2475, 17, 22, 1588, 3895, 4173, 11, 36, 15, 22, 729, 9444, 28, 16, 413, 24, 850, 7, 2262, 137, 7020, 2255, 1939, 27, 12, 1034, 16792, 4949, 9260, 999, 19, 3801, 12091, 20, 8, 3835, 14, 12, 4215, 106, 206, 15533, 206, 774, 206, 509, 20, 8, 38, 4173, 15, 22, 1639, 63, 3066, 7, 15, 22, 1826, 19, 1927, 7, 12, 3118, 19, 3801, 12091, 33, 16, 283, 7, 12, 886, 24, 180, 428, 8274, 2873, 14, 12, 4182, 13, 14, 12, 540, 19, 11350, 7, 5202, 160, 18, 6269, 54, 22, 7398, 111, 417, 14, 15, 22, 2841, 51, 22, 37, 23, 1603, 19, 1789, 1902, 6739, 11, 34, 11350, 26051, 2294, 1889, 13, 19, 11350, 7, 5202, 654, 20, 19252, 5418, 34, 96, 1639, 7, 1265, 2096, 7, 6337, 96, 1889, 137, 20808, 15, 22, 5445, 7, 12, 2612, 19, 11350, 7, 5202, 654, 20, 19252, 5418, 21, 417, 27, 1247, 17, 22, 4743, 20, 8, 17, 22, 4585, 13, 7, 21552, 1902, 26, 18, 3136, 19, 1459, 13, 16, 84, 27, 18, 1177, 7, 4182, 13, 7, 540, 670, 1020, 14, 114, 871, 13, 364, 21, 8140, 18, 17166, 11, 1902, 13, 1676, 7, 114, 1177, 137, 5863, 189, 281, 7, 12, 537, 13, 19, 3376, 2676, 19, 199, 21, 375, 28, 12, 572, 20, 8, 349, 19, 199, 29508, 11, 20, 8, 294, 17, 22, 2343, 15, 22, 1467, 7, 12, 655, 3118, 137, 507, 27346, 11, 189, 18, 2810, 11616, 11, 13538, 11, 36, 12, 1609, 1184, 13594, 24, 20, 11351, 27081, 20, 8, 18, 807, 13428, 5420, 20, 3, 130, 391, 30, 25785, 20, 8, 155, 27, 15, 22, 5445, 7, 85, 620, 28, 16, 707, 7, 12, 2612, 37, 20, 11351, 28, 15, 22, 1079, 7, 15, 22, 19771, 11388, 137, 20317, 4211, 7, 3452, 2107, 7, 15, 22, 1008, 4333, 14, 12, 334, 21, 869, 7, 12, 3118, 7, 15931, 137, 1419, 23604, 111, 27, 12, 2719, 2108, 8828, 35, 1829, 16, 842, 16, 41, 1496, 17, 22, 2343, 18, 1484, 7, 4182, 13, 17, 22, 2196, 1554, 19, 1106, 11319, 21175, 137, 142, 22, 28625, 14, 3320, 12, 4182, 14, 542, 721, 13, 15, 22, 2196, 1554, 19, 11350, 7, 5202, 17932, 36, 12, 655, 3118, 137, 1592, 12335, 3187, 72, 27, 16, 876, 842, 17, 22, 2343, 18, 1484, 30412, 11, 13, 7, 2749, 12, 1609, 1184, 13594, 24, 20, 11351, 27081, 30, 7, 387, 14, 194, 18, 1927, 7, 12, 3118, 7, 15931, 122, 18, 1085, 23, 743, 17, 22, 4375, 13, 12, 1111, 24, 9545, 18800, 27592, 12, 1609, 1184, 13594, 24, 20, 11351, 27081, 20, 8, 11817, 11729, 72, 7, 44, 32, 2736, 31, 6768, 455, 31, 27947, 11, 3655, 978, 455, 31, 13887, 11, 3617, 3066, 7, 12, 655, 3118, 20, 8, 100, 2753, 36, 31, 118, 1889, 96, 11350, 7, 5202, 17932, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 134, 46, 25, 1173, 137, 56, 1103, 99, 4066, 551, 18, 8619, 7, 134, 20, 8, 26, 18, 3512, 36, 129, 23842, 72, 21, 199, 7638, 2816, 19, 1173, 20, 10, 978, 246, 20, 10, 132, 1173, 1103, 99, 4066, 551, 25, 3449, 7, 134, 20, 8, 26, 19, 3512, 36, 129, 23842, 72, 21, 199, 7638, 20, 8, 104, 46, 25, 7638, 20, 10, 978, 322, 20, 10, 94, 221, 3671, 20, 8, 209, 27, 951, 7, 1379, 20, 8, 15, 22, 7638, 32, 196, 13610, 20, 8, 196, 1656, 7, 608, 10470, 26, 16, 1537, 19, 797, 13, 4154, 23, 10251, 8266, 24, 3289, 20, 8, 14, 182, 51, 22, 56, 50, 1897, 21, 134, 19, 10737, 17, 22, 29, 747, 8139, 26, 1773, 44, 1537, 20, 10, 8720, 1422, 20, 10, 166, 12, 26322, 19, 563, 8582, 20, 10, 10948, 455, 328, 20, 10, 166, 12, 5638, 504, 442, 19, 7421, 8582, 36, 12, 1521, 7, 12, 383, 7, 1173, 20, 10, 978, 295, 20, 10, 53, 383, 7, 1173, 49, 2947, 296, 20, 8, 118, 9170, 36, 12, 20, 12058, 5402, 13561, 21, 199, 7638, 137, 120, 9170, 36, 15, 22, 18176, 169, 11154, 36, 16, 4305, 20, 8, 7, 2135, 2098, 29987, 72, 36, 25, 599, 7638, 137, 126, 9170, 36, 15, 22, 20, 19259, 14, 197, 26752, 6660, 32, 16273, 57, 19, 6751, 11, 7, 1575, 137, 161, 9170, 1006, 20, 8, 36, 79, 3542, 84, 21, 199, 7638, 20, 8, 119, 2589, 7, 640, 20, 10, 61, 3731, 1699, 11242, 7, 1379, 50, 2072, 371, 99, 9234, 82, 663, 95, 2832, 119, 2589, 7, 640, 20, 10, 978, 213, 20, 10, 43, 1173, 32, 768, 1857, 80, 383, 7, 1173, 20, 8, 1103, 195, 12, 13697, 75, 21, 25242, 21, 20, 3, 134, 391, 46, 15, 22, 5738, 24, 4305, 20, 8, 13, 21, 22443, 51, 22, 56, 657, 54, 22, 109, 7466, 20, 8, 13, 51, 22, 56, 19464, 14, 197, 6751, 1397, 14, 12, 431, 633, 20, 10, 978, 426, 20, 10, 147, 576, 633, 32, 4132, 296, 25, 7638, 20, 8, 20657, 12, 1880, 7, 59, 2711, 20, 10, 177, 130, 1039, 15123, 20, 8, 130, 13697, 296, 12, 383, 7, 4080, 20, 8, 14157, 51, 22, 130, 6727, 21, 134, 20, 8, 45, 51, 22, 130, 109, 8119, 46, 15, 22, 5738, 24, 4305, 20, 8, 13, 21, 22443, 51, 22, 130, 657, 54, 22, 109, 7466, 20, 10, 978, 244, 20, 10, 61, 4221, 32, 13697, 1064, 12, 383, 7, 1173, 20, 8, 28, 18, 173, 8038, 36, 18, 1028, 180, 20, 8, 213, 13, 426, 20, 8, 50, 2072, 54, 22, 21, 24519, 51, 22, 185, 205, 7041, 18, 506, 32, 89, 55, 17458, 36, 114, 1028, 20, 8, 13, 512, 26, 15, 22, 5241, 19, 563, 6708, 14, 89, 2107, 172, 78, 2286, 20, 10, 978, 452, 20, 10, 43, 1173, 32, 20, 8, 119, 5738, 24, 4305, 20, 8, 845, 1115, 24, 336, 2019, 274, 15, 22, 7638, 20, 8, 45, 54, 22, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 9249, 39, 332, 183, 5856, 6231, 20, 10, 171, 16, 314, 155, 20, 8, 21, 15, 22, 1114, 144, 56, 30, 20, 8, 69, 22, 30, 3089, 27, 12, 612, 76, 321, 178, 38, 7404, 18, 21583, 11, 17, 22, 29, 277, 604, 20, 8, 13, 15, 22, 100, 38, 901, 14, 29568, 25, 1642, 14, 331, 20, 8, 14, 532, 7, 64, 20, 10, 4441, 20, 8, 51, 22, 56, 30, 8646, 28, 127, 1492, 13, 51, 22, 56, 38, 8024, 44, 27, 64, 342, 8024, 20, 8, 56, 30, 1735, 26, 541, 121, 25, 2429, 7, 15400, 20, 10, 787, 7, 168, 20, 8, 28, 29, 706, 584, 20, 8, 44, 5856, 26944, 5626, 13, 21471, 158, 2883, 14720, 1960, 1086, 20, 8, 1081, 31456, 11, 20, 8, 26, 64, 8311, 44, 32, 64, 30, 809, 20, 8, 45, 26, 64, 2407, 617, 20286, 76, 5393, 20, 8, 452, 423, 20, 10, 386, 183, 9116, 20, 8, 104, 6044, 7, 2656, 13, 7, 30366, 51, 22, 2930, 21, 139, 3861, 37, 1801, 20, 8, 773, 5666, 14, 6231, 16, 3100, 2914, 51, 22, 56, 845, 262, 1010, 773, 14152, 1308, 1840, 46, 129, 33, 127, 537, 20, 10, 910, 51, 22, 130, 187, 110, 1397, 14, 44, 51, 22, 16273, 242, 59, 1114, 20, 8, 1647, 14, 15, 22, 10178, 82, 16, 249, 39, 28, 12, 1295, 144, 64, 657, 78, 1340, 197, 23, 28505, 35, 20, 8, 32, 1710, 221, 634, 26, 90, 2107, 20, 10, 5880, 238, 547, 8124, 21, 1192, 14, 59, 191, 137, 348, 67, 549, 9973, 14, 238, 7521, 20, 28092, 9512, 20, 8, 79, 176, 16, 1801, 24, 5856, 5368, 20, 8, 14692, 189, 17, 22, 25, 1449, 7, 13418, 20, 10, 47, 43, 9765, 30, 2974, 46, 19, 16978, 13, 20, 3, 38, 84, 391, 3595, 26, 64, 25, 1801, 813, 731, 46, 19, 23889, 20, 8, 4196, 36, 6712, 915, 1840, 20, 10, 70, 38, 84, 15204, 19, 13800, 33, 2272, 64, 14137, 6417, 20, 8, 8124, 13, 348, 20, 8, 13, 56, 109, 38, 5061, 158, 3119, 31, 142, 15054, 3238, 11392, 35, 1689, 20, 8, 22524, 8862, 10567, 11, 1707, 12972, 20, 8, 142, 15054, 1888, 20, 8, 8124, 23, 24045, 57, 20, 10, 43, 730, 7, 80, 1018, 20, 8, 32, 7, 297, 140, 22, 1031, 14998, 242, 46, 5201, 14, 139, 3796, 251, 16, 305, 579, 20, 8, 140, 22, 38, 84, 6099, 18, 979, 33, 129, 20, 10, 711, 243, 11340, 20, 8, 51, 22, 56, 6026, 17, 22, 13771, 784, 20, 8, 140, 22, 228, 9412, 280, 22, 208, 85, 2305, 4996, 20, 8, 46, 29, 409, 65, 13, 4104, 2413, 20, 10, 70, 140, 22, 38, 230, 31, 321, 133, 22, 1551, 95, 14453, 137, 113, 22, 9249, 29, 576, 27, 113, 22, 20, 22972, 20, 8, 27, 113, 22, 20, 22972, 20, 8, 38, 102, 76, 225, 130, 140, 22, 38, 901, 29, 547, 1082, 20, 8, 13, 130, 30, 10191, 23751, 22, 12581, 17791, 185, 20, 8, 21, 139, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 39, 1784, 1784, 9179, 424, 102, 17, 22, 953, 71, 1814, 51, 22, 252, 88, 424, 381, 112, 1120, 252, 88, 6042, 424, 102, 18, 654, 7492, 20109, 15, 22, 20, 7156, 71, 1814, 27, 203, 89, 38, 84, 25, 6860, 7893, 13, 17, 22, 25, 277, 532, 753, 538, 7, 210, 18, 607, 88, 252, 52, 22, 88, 39, 4620, 14, 15, 22, 2589, 424, 102, 4620, 46, 25, 2589, 2957, 252, 613, 271, 368, 538, 7, 12, 1871, 208, 424, 102, 252, 14032, 1032, 14, 210, 424, 102, 26, 1406, 26, 54, 22, 20, 10832, 26, 25, 10516, 7, 1315, 100, 3239, 1032, 14, 210, 408, 236, 408, 236, 71, 1814, 27, 12, 12, 572, 7, 12, 572, 927, 1006, 12, 107, 23, 179, 39, 12, 572, 927, 12, 572, 17, 22, 17203, 527, 27, 25215, 186, 275, 104, 25, 154, 3356, 13, 130, 30, 41, 703, 7, 210, 17203, 38, 17391, 7, 80, 1663, 7, 7, 210, 408, 236, 408, 236, 13, 208, 122, 114, 117, 1281, 160, 48, 36, 1067, 316, 79, 14, 15, 22, 1962, 30, 23, 272, 27, 56, 109, 38, 29, 1795, 7, 7, 2114, 741, 7, 1006, 74, 20728, 2114, 741, 169, 12775, 27, 18, 607, 7, 15, 22, 4075, 21, 553, 424, 102, 82, 348, 32, 100, 4543, 82, 1987, 22, 25, 7, 15, 22, 4075, 55, 19, 607, 32, 88, 29, 537, 723, 424, 102, 32, 21, 553, 424, 102, 30, 24, 35, 14, 19, 524, 4817, 2059, 27, 408, 202, 408, 202, 18, 607, 7, 17, 22, 20, 3, 17203, 391, 424, 102, 32, 88, 7, 1505, 2671, 1676, 55, 19, 607, 32, 32, 88, 19, 19, 2671, 9602, 28, 19, 11899, 2353, 2079, 1308, 57, 8699, 11, 408, 236, 408, 236, 12775, 19, 28, 19, 10507, 10779, 2079, 1308, 57, 8699, 11, 12, 1066, 19, 607, 27, 71, 4457, 55, 19, 13139, 17, 22, 759, 45, 7, 7, 356, 160, 16, 1969, 741, 30, 14, 210, 208, 27, 274, 18, 939, 1308, 57, 3873, 37, 1397, 44, 55, 19, 524, 2360, 275, 104, 78, 547, 1795, 30, 23, 272, 27, 36, 415, 28, 29, 71, 1123, 39, 28, 29, 1904, 29316, 35, 45, 277, 475, 48, 425, 3819, 36, 415, 16, 1352, 7, 12, 16789, 2079, 1308, 57, 8699, 1006, 74, 424, 102, 107, 67, 179, 107, 67, 179, 424, 102, 21, 553, 44, 55, 19, 607, 32, 55, 424, 102, 182, 28822, 11, 27, 64, 107, 67, 179, 182, 13, 252, 54, 22, 1031, 4819, 433, 4928, 271, 182, 408, 236, 408, 236, 17, 22, 953, 28, 18, 5244, 29316, 72, 71, 791, 51, 22, 56, 109, 38, 19, 5244, 29316, 72, 19, 939, 1308, 57, 3873, 13, 19, 209, 38, 102, 305, 69, 22, 30, 69, 22, 30, 69, 22, 30, 7086, 17386, 20728, 25, 154, 25, 154, 17386, 1291, 408, 236, 408, 236, 25, 154, 17386, 1006, 21, 44, 32, 139, 1336, 8020, 71, 2730, 466, 19, 607, 8727, 14, 17203, 13, 32, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 117, 641, 50, 36, 218, 1817, 41, 79, 16, 136, 27, 24, 296, 12, 8670, 20, 8, 77, 21, 8228, 7, 12, 6408, 20, 8, 152, 20, 10, 31486, 27664, 12, 7681, 144, 56, 15, 22, 228, 14910, 31, 773, 47, 229, 585, 1082, 38, 498, 29, 1018, 625, 2232, 3869, 20, 8, 50, 10007, 67, 309, 39, 20, 8, 6087, 16, 10281, 74, 65, 773, 47, 6025, 143, 3869, 20, 8, 21, 340, 20, 8, 65, 14914, 5879, 20, 10, 70, 12436, 57, 31, 47, 2356, 12, 370, 7, 78, 585, 1082, 38, 617, 475, 17, 22, 7960, 102, 3180, 20, 8, 1081, 7, 21993, 137, 56, 714, 27, 366, 21, 130, 50, 4934, 63, 209, 479, 20, 10, 190, 16, 3963, 316, 20, 8, 6087, 31486, 20, 8, 275, 48, 12, 1272, 135, 20, 10, 123, 139, 2254, 17, 22, 25, 2102, 19385, 20, 8, 130, 38, 15, 22, 3218, 17, 22, 25, 15691, 26743, 33, 12, 750, 20, 10, 65, 773, 47, 844, 25, 15691, 7776, 33, 12, 750, 20, 8, 27664, 21, 17722, 152, 20, 10, 31486, 20, 8, 69, 22, 30, 1702, 26, 97, 16, 1765, 7, 617, 20005, 20, 10, 65, 70, 12, 14539, 57, 24, 532, 7, 5879, 25, 562, 17, 22, 9886, 52, 18463, 1515, 20, 10, 5879, 21034, 20, 8, 13, 14914, 31, 47, 1446, 87, 26, 59, 10374, 20, 10, 65, 152, 20, 10, 31486, 50, 484, 5463, 4345, 39, 20, 8, 77, 20, 7203, 57, 205, 7, 2071, 143, 27, 5879, 18313, 268, 13, 119, 8745, 20, 10, 1641, 1069, 22566, 18, 1076, 6144, 24, 2102, 1424, 20, 10, 47, 70, 30, 1473, 16, 8900, 18131, 65, 20, 8, 14, 12, 8670, 7, 13365, 20, 8, 20, 6181, 22, 1271, 95, 37, 609, 7, 1277, 7, 49, 3175, 12591, 11810, 36, 12, 1018, 7, 12, 7968, 20, 8, 217, 56, 228, 3217, 20, 3, 427, 7, 6186, 391, 20, 8, 12, 1082, 24, 5935, 7, 15682, 20, 8, 51, 22, 56, 18313, 20, 10, 463, 12, 8670, 20, 8, 121, 18, 1618, 160, 56, 38, 95, 395, 28, 44, 3560, 182, 18, 117, 480, 2078, 20, 8, 3173, 20756, 35, 13, 6186, 20, 8, 49, 7298, 361, 274, 16, 10281, 20, 10, 245, 394, 19, 3450, 49, 7927, 108, 16, 15211, 20, 10, 152, 20, 10, 31486, 20, 8, 176, 59, 12001, 20, 8, 228, 4033, 7, 6941, 21, 1565, 20, 8, 44, 51, 22, 56, 50, 2123, 1702, 39, 20, 10, 141, 52, 22, 186, 39, 25, 1056, 4565, 35, 87, 997, 105, 27, 152, 20, 10, 31486, 20, 8, 77, 56, 228, 16, 305, 2589, 7, 2087, 26, 129, 67, 549, 59, 5362, 341, 816, 11966, 20, 8, 13, 82, 56, 228, 271, 27330, 20, 8, 56, 186, 813, 2148, 14, 3508, 13834, 20, 10, 70, 52, 22, 186, 39, 7, 339, 32, 3991, 205, 79, 606, 14, 543, 25, 2432, 21436, 2845, 20, 8, 13, 32, 7951, 159, 20065, 26, 19, 435, 23290, 11, 31, 56, 11147, 275, 100, 15, 22, 14361, 242, 20, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 109, 38, 207, 279, 100, 52, 22, 228, 39, 487, 17, 22, 1196, 26, 97, 104, 26, 97, 16, 1630, 27, 71, 1610, 113, 22, 9249, 39, 487, 56, 109, 38, 1435, 128, 56, 109, 228, 39, 487, 17, 22, 25, 393, 7, 1454, 13, 365, 679, 113, 22, 20, 3580, 25, 393, 19, 117, 4164, 11, 44, 560, 2590, 2458, 26, 271, 7, 634, 38, 102, 305, 74, 20728, 1291, 20728, 1291, 36, 415, 74, 1006, 48, 10104, 3765, 25, 154, 74, 87, 26, 424, 102, 19, 10516, 7, 8950, 424, 102, 26, 12, 9618, 466, 408, 236, 408, 236, 19, 10516, 7, 634, 51, 22, 100, 64, 419, 18, 4164, 11, 27, 18, 4164, 11, 27, 4688, 71, 1003, 11796, 71, 1003, 39, 16, 4164, 4216, 1291, 679, 56, 109, 38, 2590, 19, 19, 634, 27, 71, 1246, 5723, 271, 182, 110, 113, 22, 917, 95, 41, 703, 77, 1006, 56, 109, 38, 1435, 128, 169, 69, 22, 186, 39, 2458, 69, 22, 186, 104, 79, 14, 84, 6973, 14, 15, 22, 2456, 56, 109, 38, 19, 19, 303, 32, 24486, 13, 17, 22, 209, 32, 50, 24486, 39, 17, 22, 185, 48, 203, 1943, 14, 597, 74, 69, 22, 30, 17, 22, 12378, 19, 19758, 112, 2590, 679, 24, 413, 28, 1007, 15, 22, 940, 49, 529, 113, 22, 1551, 25, 2580, 32, 280, 22, 14, 15, 22, 2563, 7, 6762, 128, 52, 22, 38, 371, 366, 84, 14, 15, 22, 2456, 56, 54, 22, 30, 2640, 56, 228, 6762, 128, 56, 186, 268, 25, 154, 21, 2577, 406, 883, 88, 1432, 424, 102, 1006, 88, 1432, 12, 1295, 51, 22, 56, 3929, 1092, 424, 102, 112, 21, 2577, 527, 527, 51, 22, 20, 3, 56, 391, 228, 56, 228, 3276, 15, 22, 2456, 14, 17245, 128, 144, 56, 228, 6110, 143, 59, 19312, 17, 22, 17001, 17, 22, 953, 56, 15, 22, 38, 677, 252, 129, 88, 84, 364, 19, 298, 2537, 381, 25, 625, 56, 15, 22, 38, 677, 82, 5380, 14, 6762, 128, 153, 13, 252, 1069, 95, 314, 14, 44, 310, 23, 1268, 71, 50, 139, 2201, 41, 450, 203, 54, 22, 2416, 33, 18, 8347, 11, 56, 109, 38, 25, 554, 17, 22, 10718, 56, 139, 714, 38, 102, 1291, 144, 56, 109, 38, 1779, 598, 19, 4060, 13, 252, 129, 1069, 5092, 16, 3127, 56, 54, 22, 30, 494, 14, 97, 24, 3127, 14, 20569, 128, 24, 3127, 4800, 7229, 56, 385, 39, 21, 4188, 13, 365, 56, 38, 677, 59, 7611, 7, 3127, 25, 2330, 7, 4511, 341, 13, 365, 679, 219, 51, 22, 66, 19544, 148, 527, 51, 22, 56, 38, 271, 7, 2577, 87, 890, 77, 1006, 56, 220, 54, 22, 21, 1406, 13, 370, 1291, 74, 13, 56, 228, 39, 17, 22, 20, 11781, 144, 56, 186, 56, 228, 39, 17, 22, 20, 11781, 77, 56, 186, 39, 24, 79, 28, 12, 5028, 51, 22, 56, 129, 3055, 13, 56, 6717, 39, 12, 5028, 32, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 9457, 15557, 143, 13804, 110, 100, 129, 21, 23383, 1691, 12, 2584, 12, 2257, 137, 13, 679, 56, 129, 1714, 242, 110, 154, 20, 8, 51, 22, 130, 54, 22, 21, 20, 18217, 5837, 130, 67, 549, 20, 10, 177, 130, 23383, 569, 9986, 37, 996, 7, 80, 1354, 20, 8, 107, 23, 179, 23383, 67, 162, 2640, 27, 44, 692, 12912, 186, 16, 533, 32, 15, 22, 1486, 11423, 3868, 37, 393, 7, 10881, 14, 85, 1541, 979, 20, 10, 70, 30, 1231, 27, 20, 8, 6264, 67, 1268, 20, 8, 12, 483, 20, 8, 12, 15638, 13, 15, 22, 8704, 7, 15, 22, 10597, 15, 22, 1069, 486, 18622, 503, 25, 154, 137, 77, 20, 8, 172, 51, 22, 130, 15, 22, 228, 9077, 687, 17, 22, 130, 21, 10156, 20, 8, 13804, 50, 54, 22, 38, 1455, 272, 504, 242, 41, 7, 78, 23776, 20, 8, 969, 14, 4431, 7, 576, 14, 576, 108, 87, 27, 17, 22, 739, 14, 739, 20, 10, 70, 30, 1231, 27, 20, 8, 701, 18, 117, 16480, 13, 12, 1138, 9244, 49, 390, 11402, 1817, 7199, 830, 37, 3153, 24, 1448, 20, 8, 13804, 603, 2698, 13, 104, 25, 154, 22218, 7, 314, 27, 10881, 10237, 242, 197, 80, 2655, 33, 12, 4778, 576, 20, 10, 141, 603, 46, 29, 12718, 5944, 27, 15, 22, 10597, 20, 8, 5195, 2793, 12, 697, 7, 12786, 138, 225, 13, 15, 22, 11214, 14, 3107, 16, 1127, 7, 80, 1492, 20, 8, 129, 230, 51, 22, 130, 20556, 79, 16, 330, 7, 44, 51, 22, 130, 228, 84, 13, 7, 44, 51, 22, 130, 228, 95, 26, 130, 929, 78, 547, 7232, 20, 10, 773, 2635, 14, 1344, 20, 8, 238, 13804, 20, 8, 230, 67, 162, 14, 59, 5887, 1094, 22, 615, 3275, 622, 14, 622, 20, 8, 71, 717, 22062, 5723, 110, 71, 20, 3, 717, 391, 15184, 16, 104, 390, 1325, 211, 6377, 125, 20, 10, 986, 52, 22, 38, 11, 324, 7, 15681, 600, 30643, 11, 26, 27, 730, 6634, 7, 12, 54, 13556, 11, 35, 19817, 139, 714, 25, 243, 6608, 20, 10, 124, 717, 4457, 20, 8, 325, 50, 10164, 41, 1344, 67, 549, 110, 325, 52, 22, 9249, 39, 1432, 25, 810, 834, 14, 514, 22, 22989, 7, 197, 918, 1732, 37, 23, 1566, 7, 114, 6585, 2624, 9397, 20, 10, 773, 73, 22, 30, 14, 646, 7, 1344, 27, 222, 140, 22, 30, 1735, 25, 834, 20, 8, 14914, 13804, 25, 154, 486, 18622, 503, 20, 10, 773, 26892, 153, 20, 8, 6491, 8622, 76, 27664, 10881, 21, 15, 22, 20, 31960, 111, 20, 8, 69, 22, 30, 14, 646, 7, 48, 67, 549, 76, 10509, 242, 67, 272, 25, 15656, 17, 22, 267, 6598, 8198, 32, 2123, 745, 155, 15, 22, 5887, 7, 13804, 74, 1252, 20, 10, 10881, 186, 12, 576, 12, 41, 1195, 46, 18, 209, 13, 12, 41, 11124, 1703, 23, 167, 23, 1512, 17, 22, 130, 67, 549, 20, 10, 177, 15, 22, 6608, 7, 59, 5887, 129, 23383, 6 ]	[ 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 13, 25, 6110, 143, 13780, 275, 56, 768, 95, 14, 15, 22, 827, 280, 22, 167, 20569, 128, 56, 50, 1103, 41, 2033, 25, 1630, 69, 22, 30, 39, 414, 208, 51, 22, 86, 5430, 25, 2454, 27, 339, 32, 498, 55, 5827, 6796, 12775, 159, 1196, 77, 208, 51, 22, 86, 621, 19, 18930, 11, 7, 38, 102, 19, 2437, 14, 339, 32, 498, 55, 16523, 359, 32, 50, 107, 39, 99, 13780, 1834, 56, 220, 10935, 26, 99, 4038, 2018, 593, 7, 3598, 2300, 16, 11539, 100, 419, 16, 11539, 26, 19, 4959, 4211, 69, 22, 40, 39, 809, 14, 183, 1130, 26, 54, 22, 6895, 7, 5272, 17, 22, 3577, 28, 671, 205, 84, 19, 1196, 280, 22, 14, 2883, 23, 8196, 128, 26, 54, 22, 6895, 19, 79, 765, 12, 5130, 18, 5272, 17, 22, 3577, 100, 52, 22, 57, 39, 487, 26, 348, 7, 381, 51, 22, 66, 109, 38, 417, 7, 1505, 1340, 11, 32, 52, 22, 270, 39, 16, 7, 13829, 13, 32, 49, 10939, 5827, 7, 7, 54, 22, 9939, 7, 114, 765, 303, 679, 69, 22, 40, 127, 324, 7, 518, 1291, 69, 22, 40, 3394, 44, 27, 71, 1743, 205, 52, 22, 30, 23, 272, 39, 74, 1291, 208, 30, 23, 272, 27, 48, 12629, 27, 69, 22, 40, 12, 104, 475, 26, 18, 6599, 13, 18, 2078, 424, 102, 1289, 6156, 26, 18, 6599, 203, 560, 7, 25, 154, 41, 3041, 51, 22, 256, 6885, 271, 41, 7, 7, 11896, 527, 27, 69, 22, 40, 275, 104, 129, 32, 258, 99, 866, 7, 438, 679, 26, 12, 1082, 14, 15, 22, 1417, 144, 15, 22, 100, 1777, 130, 107, 112, 87, 205, 29, 194, 25, 2711, 20, 3, 32, 391, 38, 29, 409, 537, 17, 22, 58, 533, 562, 16, 2711, 54, 22, 93, 220, 45, 424, 102, 29, 7459, 5184, 13, 12, 1082, 49, 1347, 12, 585, 576, 49, 1347, 119, 537, 46, 424, 102, 39, 7, 18930, 11, 366, 24, 79, 153, 26, 348, 56, 219, 27, 18, 2078, 6885, 29, 537, 424, 102, 29, 29, 1516, 3401, 424, 102, 1687, 108, 9179, 1081, 27, 18, 6599, 1291, 107, 109, 205, 19, 903, 16579, 28, 12, 145, 48, 445, 87, 8634, 332, 23, 1566, 1291, 48, 445, 578, 17, 22, 712, 71, 235, 890, 1291, 20728, 10010, 26, 2334, 14, 12, 304, 17, 22, 17203, 1291, 595, 12005, 1291, 30, 23, 272, 27, 17, 22, 864, 48, 100, 84, 600, 26, 18, 1262, 14, 17203, 74, 71, 791, 27, 1291, 26, 18, 1262, 1291, 1291, 71, 791, 27, 1291, 16121, 424, 102, 252, 55, 21, 1192, 7, 97, 424, 102, 29, 2811, 252, 511, 252, 88, 84, 25, 1291, 252, 812, 20, 27551, 16, 1494, 19, 5131, 113, 22, 105, 1568, 745, 19, 480, 32, 88, 230, 27, 56, 52, 22, 109, 38, 366, 26, 18, 480, 26, 12, 2000, 14, 17203, 366, 14, 97, 1291, 56, 109, 38, 1291, 679, 48, 3392, 28, 12, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 20, 10, 3361, 16, 1186, 24, 358, 11, 13621, 18196, 137, 13, 15679, 19, 20, 19051, 11, 280, 22, 14, 1435, 557, 20, 10, 773, 18273, 21451, 381, 12, 789, 20, 10, 773, 11213, 2018, 143, 7, 97, 24, 1448, 28, 238, 1492, 46, 19, 5741, 20227, 10231, 137, 77, 79, 38, 95, 1857, 7, 8956, 20, 10, 773, 61, 4390, 2941, 9580, 17, 22, 2930, 20, 8, 7696, 1081, 11819, 7, 2322, 13, 7, 6048, 20, 8, 49, 55, 27, 22984, 592, 20, 8, 17851, 20, 8, 13, 1006, 7149, 36, 1281, 20, 8, 33, 12, 750, 20, 8, 26, 1149, 63, 1924, 20, 8, 44, 32, 18, 38, 8607, 148, 41, 20960, 11, 27, 159, 21827, 11, 20, 10, 773, 234, 3442, 1761, 225, 8124, 30, 12280, 35, 20, 10, 6231, 17913, 12855, 225, 6644, 2004, 24, 1322, 2160, 13, 3478, 20, 10, 161, 428, 20, 10, 47, 225, 3802, 17, 22, 20, 12440, 677, 122, 8124, 13, 59, 983, 20, 10, 224, 38, 95, 112, 12280, 35, 381, 207, 557, 20, 10, 844, 130, 54, 22, 30, 13196, 25, 154, 400, 20, 8, 64, 64, 482, 2523, 14, 13617, 221, 18, 117, 20, 10, 3867, 76, 1759, 80, 7521, 5584, 26423, 1120, 7, 114, 9158, 17127, 82, 130, 21, 19739, 242, 79, 14, 15, 22, 1962, 20, 10, 773, 2349, 950, 20, 8, 7521, 30007, 20, 8, 27, 7, 168, 52, 22, 342, 67, 1311, 39, 7762, 5181, 830, 20, 8, 64, 117, 687, 24, 5731, 20, 8, 82, 140, 22, 109, 1894, 20, 8, 679, 197, 706, 20, 10, 9020, 20, 8, 20728, 76, 169, 20, 8, 71, 50, 235, 39, 706, 20, 10, 133, 22, 1551, 238, 7048, 20, 8, 406, 1260, 7, 4222, 1211, 20, 8, 183, 6067, 13142, 20, 8, 8668, 1866, 17, 22, 29, 20456, 4416, 162, 137, 275, 71, 52, 22, 1551, 39, 19, 557, 14, 89, 608, 20, 8, 20, 3, 113, 22, 391, 1551, 19, 817, 225, 65, 284, 428, 20, 10, 47, 147, 583, 651, 7, 54, 22, 20, 23396, 20, 8, 7521, 5713, 20, 8, 119, 51, 22, 29, 706, 338, 1105, 7, 238, 8254, 21, 1932, 5504, 18, 3775, 20, 10, 43, 249, 194, 20, 8, 44, 1604, 194, 24, 938, 20, 8, 32, 17, 22, 6384, 140, 22, 2892, 85, 5415, 11, 15102, 11, 20, 8, 54, 22, 30, 677, 21, 16087, 17738, 72, 20, 8, 28, 15, 22, 20, 12440, 20, 8, 13, 197, 12, 789, 14, 7907, 20, 10, 773, 5393, 20, 8, 16, 164, 20, 8, 71, 10992, 20872, 35, 7, 112, 409, 1962, 36, 183, 5856, 6231, 20, 8, 12280, 195, 1695, 20, 10, 124, 4063, 11, 7875, 16, 5935, 986, 81, 7393, 20, 8, 32, 20, 8, 110, 17791, 51, 22, 56, 15, 22, 6265, 606, 20, 8, 139, 230, 31, 47, 141, 52, 22, 30, 20, 8, 41, 348, 32, 235, 809, 373, 20, 10, 70, 219, 97, 7875, 359, 32, 107, 6092, 59, 5584, 20, 10, 65, 386, 44, 310, 20, 8, 71, 139, 8195, 11, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 27, 238, 576, 348, 71, 18, 2753, 11, 39, 378, 71, 18, 2753, 11, 104, 5749, 114, 865, 23, 1268, 408, 236, 408, 236, 69, 22, 30, 51, 22, 56, 1058, 51, 22, 56, 219, 39, 18, 335, 13, 208, 51, 22, 30, 23, 272, 27, 48, 1517, 28, 114, 173, 23, 1268, 74, 100, 15275, 7, 71, 48, 1091, 110, 71, 20477, 39, 113, 22, 15275, 7, 4897, 7276, 77, 110, 71, 20477, 69, 22, 30, 368, 826, 69, 22, 30, 2434, 13, 424, 102, 48, 16621, 19, 15556, 11, 26, 44, 965, 7, 634, 45, 87, 48, 6105, 39, 1784, 74, 450, 48, 4830, 74, 48, 109, 20159, 135, 271, 17, 22, 5445, 74, 1006, 56, 109, 38, 19, 634, 27, 38, 102, 1291, 38, 102, 1291, 1291, 208, 51, 22, 30, 23, 272, 27, 48, 1517, 74, 29, 547, 15556, 74, 169, 38, 102, 169, 71, 235, 39, 1784, 20315, 110, 69, 22, 30, 498, 25, 154, 8424, 424, 102, 71, 1123, 39, 348, 71, 1306, 16, 25751, 7, 7, 617, 475, 160, 56, 228, 112, 1191, 45, 38, 102, 305, 26, 919, 965, 7, 865, 36, 415, 74, 48, 425, 139, 608, 25, 415, 7, 197, 478, 44, 55, 19, 22425, 11, 56, 109, 38, 39, 38, 102, 6156, 1441, 1441, 19, 1137, 865, 597, 19, 1291, 36, 415, 74, 71, 1123, 39, 56, 220, 139, 2121, 19, 15257, 600, 378, 13, 28, 44, 173, 23, 1268, 208, 36, 415, 26, 15257, 30, 23, 272, 27, 48, 16, 12144, 7840, 1006, 74, 169, 39, 600, 2590, 169, 39, 600, 74, 48, 48, 48, 16, 16, 48, 16, 22806, 135, 21295, 7, 617, 475, 26, 205, 424, 102, 38, 102, 1291, 1291, 275, 424, 102, 1006, 219, 498, 51, 22, 20, 3, 56, 391, 1031, 15714, 275, 104, 305, 208, 919, 840, 36, 415, 74, 305, 2209, 48, 12886, 135, 39, 6156, 18, 865, 48, 3392, 69, 22, 30, 39, 112, 2710, 1006, 69, 22, 30, 15257, 13, 1056, 1006, 44, 51, 22, 252, 20, 16397, 14, 15, 22, 2456, 597, 275, 100, 38, 689, 128, 13, 365, 252, 49, 5912, 281, 79, 7, 306, 51, 22, 56, 3055, 39, 16, 335, 208, 252, 54, 22, 27251, 111, 7, 16, 390, 1504, 13, 1006, 12, 636, 395, 7, 424, 102, 48, 1006, 110, 110, 48, 445, 7, 1793, 3775, 30, 23, 272, 27, 170, 883, 8635, 1726, 14, 12, 478, 160, 48, 36, 1067, 316, 74, 38, 102, 1291, 252, 8635, 112, 1726, 74, 1291, 13, 14, 919, 965, 7, 634, 466, 252, 8635, 1726, 74, 906, 102, 87, 424, 102, 466, 63, 16161, 7, 384, 183, 983, 56, 2123, 600, 1726, 466, 63, 16161, 7, 384, 1291, 13, 208, 450, 56, 54, 22, 109, 14116, 74, 906, 102, 87, 56, 64, 390, 13510, 242, 275, 100, 275, 100, 2123, 19, 16161, 7, 384, 600, 600, 7463, 56, 48, 390, 13510, 242, 20, 8532, 45, 74, 38, 102, 1291, 1291, 571, 51, 22, 56, 38, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 305, 38, 102, 69, 22, 40, 25, 344, 154, 813, 208, 424, 102, 71, 7707, 945, 16, 850, 82, 203, 64, 50, 80, 341, 291, 39, 1669, 18, 227, 19176, 19459, 38, 102, 305, 2172, 52, 22, 40, 23, 272, 39, 74, 1291, 1291, 1291, 71, 7006, 1291, 112, 87, 16, 850, 133, 455, 311, 3001, 1525, 13, 64, 482, 16, 117, 490, 1291, 305, 112, 87, 208, 424, 102, 48, 11325, 135, 614, 7, 12, 20, 3, 2222, 1037, 5295, 391, 614, 7, 12, 2222, 1037, 5295, 1291, 13, 56, 109, 38, 175, 12, 614, 7, 12, 2222, 1037, 7666, 408, 236, 408, 236, 208, 424, 102, 3470, 424, 102, 109, 38, 271, 7, 227, 32, 64, 6721, 19, 2650, 33, 16, 411, 7, 114, 117, 3598, 208, 37, 9541, 23, 11, 2137, 13, 37, 9541, 23, 18656, 7, 78, 614, 23, 240, 14, 1101, 56, 109, 38, 29, 329, 19161, 32, 30, 19374, 21, 117, 679, 77, 1006, 69, 22, 385, 25, 1839, 2452, 71, 1323, 39, 48, 17, 23, 71, 50, 9377, 39, 48, 335, 1291, 16, 411, 7, 44, 2452, 1291, 77, 1006, 69, 22, 385, 25, 2452, 527, 27, 373, 188, 1006, 109, 38, 19, 279, 19, 279, 558, 7, 1435, 23, 12031, 3001, 13, 19, 8726, 11, 424, 102, 44, 52, 22, 385, 27, 19, 12517, 19, 26451, 11, 13, 19, 3981, 29666, 13, 208, 424, 102, 28, 44, 2452, 56, 109, 228, 44, 114, 109, 228, 153, 121, 114, 26451, 11, 13, 114, 12517, 13, 114, 23221, 79, 203, 13, 208, 28, 44, 2452, 56, 109, 228, 117, 5105, 1739, 2511, 56, 109, 228, 29, 5105, 1739, 567, 26, 18, 26185, 11, 5098, 24, 2505, 150, 4141, 13, 29, 5105, 1739, 567, 26, 18, 26185, 11, 4996, 408, 236, 13, 208, 275, 18, 26185, 11, 54, 22, 93, 14032, 26, 358, 28243, 252, 50, 28237, 39, 16, 104, 9994, 109, 21, 228, 25, 32, 14116, 25, 9994, 408, 236, 408, 236, 251, 12, 1101, 13, 13, 15, 22, 434, 41, 251, 12, 1195, 7030, 153, 208, 19, 279, 185, 275, 12, 304, 17, 22, 12763, 424, 102, 2403, 197, 424, 102, 54, 22, 40, 334, 14, 1913, 13, 14, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 39, 2334, 20, 10, 245, 1141, 7, 311, 4605, 7, 820, 36, 19, 6109, 600, 5240, 11, 20, 8, 64, 2377, 29303, 3468, 6301, 14, 543, 18, 3981, 16, 24959, 24, 20834, 7, 15, 9, 8055, 27, 71, 14978, 31816, 137, 13, 20, 8, 185, 205, 1014, 207, 3598, 12516, 2956, 25297, 11, 7, 5662, 818, 4175, 13, 7, 1548, 256, 20, 8, 64, 64, 20, 11402, 3343, 11, 551, 12, 5894, 20, 8, 32, 52, 9, 186, 39, 17, 9, 29, 329, 26246, 211, 1761, 20, 10, 132, 30773, 18603, 7, 207, 50, 10946, 2955, 13, 7, 117, 45, 311, 13920, 7, 3712, 2204, 22302, 125, 18068, 11, 20, 8, 25, 5285, 21, 23118, 13, 19, 176, 4280, 11, 24, 104, 3712, 2204, 27, 18, 13920, 20, 8, 69, 9, 186, 79, 31, 14, 1101, 20, 8, 16, 7471, 79, 811, 7, 7985, 14438, 20, 8, 46, 29, 329, 6309, 7, 1916, 37, 907, 137, 14, 1195, 20, 8, 13, 28, 15, 9, 19591, 7, 15, 9, 8055, 20, 8, 16, 27812, 950, 20, 10, 73, 9, 186, 29, 443, 17, 9, 29, 6731, 8612, 13, 17, 9, 29, 18069, 38, 9012, 20, 10, 773, 174, 21, 4526, 3343, 11, 137, 207, 18184, 5268, 962, 559, 33, 12, 750, 7, 3527, 15162, 17, 9, 20, 22383, 137, 20, 31322, 72, 10112, 14, 15, 9, 9711, 1376, 19, 26318, 11, 20, 8, 615, 50, 54, 9, 8839, 994, 10262, 1817, 324, 7, 127, 856, 13, 49, 486, 17829, 1817, 14, 1246, 26, 64, 1165, 598, 20, 10, 132, 6004, 9163, 20, 6103, 5181, 13, 21, 2653, 143, 49, 3947, 3508, 20, 8, 13, 64, 2377, 29303, 6464, 22753, 25, 2102, 2177, 20, 10, 73, 9, 186, 16, 2177, 7, 183, 13715, 20, 10, 70, 228, 15, 9, 9886, 20, 16128, 20, 8, 16, 12208, 5369, 13, 121, 18, 4924, 7, 12, 41, 1546, 18324, 144, 1759, 2343, 25, 2177, 20, 10, 124, 16, 28896, 81, 105, 9250, 7, 12, 697, 20, 8, 13, 20, 3, 56, 391, 49, 7966, 9569, 14, 6353, 14, 532, 7, 348, 46, 25, 3218, 7, 4456, 267, 790, 11309, 816, 20, 10, 147, 576, 600, 11532, 20, 8, 13, 32, 228, 95, 12, 14357, 1356, 7, 15, 9, 1839, 15211, 20, 8, 18316, 108, 14, 127, 698, 13, 20, 8, 185, 140, 9, 205, 84, 3830, 28, 29, 801, 3950, 20, 8, 139, 13021, 110, 183, 8308, 186, 7, 12, 2087, 20, 10, 124, 129, 1860, 556, 27, 71, 12, 2087, 757, 20, 8, 130, 13, 16, 2177, 20, 8, 13, 108, 18, 18184, 20, 8, 13, 79, 16, 6522, 27, 59, 2292, 129, 228, 2866, 14, 80, 612, 20, 8, 44, 32, 12, 3947, 3830, 28, 25, 1239, 7, 2273, 20, 8, 15, 9, 20, 11056, 3727, 5671, 1213, 129, 663, 901, 33, 23, 165, 23, 10713, 16, 330, 51, 9, 130, 21, 3929, 20, 10, 794, 4675, 1934, 20, 8, 15, 9, 20, 11056, 3727, 5671, 1213, 640, 821, 37, 7315, 20, 10, 124, 29037, 215, 153, 533, 13, 119, 277, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 409, 666, 408, 236, 1291, 424, 102, 36, 415, 74, 71, 1123, 39, 348, 203, 107, 99, 24, 9653, 24, 20532, 45, 44, 32, 140, 22, 7895, 27, 44, 32, 140, 22, 7895, 39, 24, 79, 7, 17, 22, 15397, 746, 4293, 7075, 11796, 74, 424, 102, 30, 23, 272, 27, 48, 658, 135, 25, 6296, 74, 39, 24, 79, 408, 236, 424, 102, 48, 22682, 19, 9488, 74, 1291, 87, 890, 77, 1006, 69, 22, 40, 466, 406, 303, 38, 102, 305, 13, 30, 23, 272, 27, 48, 2209, 37, 2111, 74, 169, 37, 1652, 74, 1291, 373, 45, 14, 210, 74, 14, 210, 1291, 210, 210, 195, 12, 104, 306, 28, 18, 672, 919, 965, 7, 1305, 45, 3820, 2216, 74, 19290, 71, 1123, 39, 305, 6156, 203, 71, 424, 102, 21, 553, 71, 71, 4582, 25, 154, 33, 18, 6565, 18, 4314, 144, 30, 51, 22, 66, 109, 38, 19, 1291, 1291, 18, 1305, 18195, 11, 18, 1305, 10860, 424, 102, 5010, 424, 102, 408, 236, 51, 22, 40, 23, 272, 27, 69, 22, 40, 26, 48, 29, 1392, 18195, 74, 20728, 144, 109, 38, 6014, 7, 2533, 6014, 7, 19, 2671, 7221, 11, 408, 236, 424, 102, 19, 634, 82, 203, 424, 102, 348, 71, 1306, 37, 1652, 69, 22, 40, 26, 598, 29, 1507, 2539, 424, 102, 1291, 3673, 7, 314, 617, 475, 7, 5298, 87, 890, 77, 1006, 69, 22, 40, 39, 26, 2334, 46, 19, 1427, 10860, 597, 38, 102, 305, 208, 16, 16, 7471, 7, 3004, 44, 560, 107, 23, 179, 39, 2132, 16, 1583, 14, 2369, 2132, 305, 48, 3392, 14, 154, 538, 3443, 7, 168, 28, 15, 22, 470, 74, 45, 30, 23, 272, 27, 69, 22, 40, 82, 26, 16, 1237, 74, 1291, 69, 22, 40, 25, 154, 203, 1291, 82, 20, 3, 16, 1237, 391, 1291, 1291, 13, 24, 532, 7, 12, 887, 30, 23, 272, 27, 48, 6105, 8441, 25, 2175, 74, 1291, 71, 7827, 16, 2175, 1816, 69, 22, 40, 1007, 74, 53, 1111, 24, 927, 424, 102, 17, 22, 260, 6565, 11828, 11, 11235, 74, 275, 71, 235, 21, 744, 38, 102, 1291, 424, 102, 450, 56, 54, 22, 3579, 19, 634, 82, 203, 13, 119, 831, 29, 2031, 887, 880, 108, 1006, 1291, 1006, 203, 2124, 26, 90, 191, 1291, 1291, 45, 208, 7, 11235, 17, 22, 481, 19, 634, 82, 203, 108, 1291, 408, 236, 1006, 30, 23, 272, 27, 79, 222, 48, 1539, 16, 136, 7, 837, 74, 121, 18, 854, 11, 1291, 1291, 71, 7707, 271, 408, 236, 408, 236, 30, 23, 272, 51, 22, 66, 109, 38, 19, 11156, 960, 11, 74, 1291, 6156, 69, 22, 40, 195, 238, 238, 22408, 71, 7707, 6014, 7, 7, 1260, 33, 12, 636, 642, 424, 102, 424, 102, 38, 102, 1291, 77, 21, 2299, 21, 2299, 3470, 7, 7, 114, 11235, 17, 22, 481, 45, 19, 634, 82, 203, 1291, 13, 29, 395, 14, 740, 48, 1860, 316, 36, 1291, 45, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 4340, 1151, 50, 6990, 600, 7091, 20, 10, 124, 140, 22, 18080, 21244, 7, 50, 39, 396, 188, 13365, 26, 99, 890, 27, 406, 883, 27941, 2819, 20, 10, 133, 22, 24488, 215, 7, 837, 20, 10, 171, 82, 1435, 557, 59, 10826, 14, 12, 2966, 20, 8, 13, 27, 406, 883, 613, 15869, 11, 172, 617, 136, 268, 20, 8, 71, 50, 569, 11, 2764, 20, 10, 460, 9711, 559, 37, 249, 6430, 20, 8, 348, 37, 13159, 23, 200, 23, 14371, 20, 10, 124, 52, 22, 9249, 39, 494, 406, 18213, 3531, 11, 294, 17, 22, 20, 11127, 75, 16, 2438, 16, 41, 18046, 125, 414, 20, 10, 61, 5702, 17, 22, 29, 697, 20, 8, 5702, 7, 15, 22, 277, 44, 7025, 10051, 14, 646, 19, 9270, 20, 8, 113, 22, 20, 7901, 556, 46, 15016, 29, 547, 604, 17, 22, 8369, 20, 10, 70, 358, 165, 7004, 242, 20, 10, 8516, 400, 76, 53, 3881, 6947, 242, 16, 3969, 20, 10, 106, 1455, 272, 4027, 27, 12, 1128, 52, 22, 186, 39, 148, 16961, 35, 28, 12, 1492, 7, 406, 883, 20, 8, 71, 10992, 33, 16, 324, 7, 139, 390, 24418, 75, 20, 10, 171, 113, 22, 18080, 21, 820, 20, 10, 7043, 12, 15016, 19, 18213, 3531, 11, 186, 2355, 137, 14, 646, 7, 12, 3881, 71, 24, 11, 18, 3029, 20, 10, 2740, 20, 8, 56, 139, 3055, 20, 11127, 75, 16, 2438, 26, 50, 324, 20, 31090, 75, 12, 12898, 7, 12, 6008, 20, 10, 124, 140, 22, 20, 17519, 215, 24, 2438, 20, 8, 176, 1007, 113, 22, 9249, 635, 2165, 20, 8, 185, 16, 6941, 20, 8, 7, 1881, 29, 12299, 7, 1426, 26, 2791, 183, 20, 14400, 20, 10, 141, 2438, 186, 14839, 7, 23118, 14, 59, 27344, 20, 10, 53, 3881, 18, 20968, 24580, 72, 20, 10, 626, 71, 140, 22, 109, 26128, 757, 20, 8, 15, 22, 29, 17, 22, 615, 17026, 20, 10, 794, 20, 7654, 17, 9000, 8074, 16, 3969, 7, 20, 3, 80, 391, 3125, 20, 10, 70, 3055, 679, 10799, 28, 12, 614, 20, 10, 124, 28773, 16, 7025, 46, 406, 4348, 137, 71, 17026, 215, 28, 29, 5266, 57, 798, 20, 10, 147, 1365, 4665, 20, 8, 71, 24072, 105, 8105, 20, 8, 18, 979, 13505, 11, 251, 12, 4659, 7, 406, 883, 20, 8, 26, 314, 54, 22, 252, 9747, 559, 20, 8, 54, 22, 753, 6178, 11, 7, 617, 475, 20, 10, 53, 4659, 17671, 2997, 20, 10, 133, 22, 18080, 2002, 76, 123, 139, 783, 6264, 274, 1303, 2082, 20, 8, 71, 16696, 12, 11163, 20, 10, 124, 4157, 10804, 8073, 183, 7025, 28, 25, 20, 25469, 13, 16, 3107, 16, 2990, 20, 10, 53, 642, 20968, 78, 475, 10267, 20, 10, 94, 340, 20, 8, 37, 533, 2422, 144, 56, 109, 23383, 19, 20, 25469, 11, 13, 144, 56, 186, 414, 7, 8073, 16, 7025, 20, 8, 49, 10864, 29, 8195, 3609, 20, 8, 15620, 16, 2888, 7, 133, 225, 133, 22, 20, 17384, 215, 1120, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 930, 7, 12, 1111, 20, 8, 15, 22, 3027, 7, 8489, 24, 1577, 23842, 21, 199, 7638, 20, 8, 196, 1778, 8840, 33, 16, 6621, 418, 19, 17264, 24, 312, 7, 59, 1752, 20, 10, 8720, 2682, 20, 10, 300, 6438, 11, 37, 1577, 20, 10, 978, 295, 264, 20, 10, 43, 283, 7, 3786, 6438, 14, 12, 8489, 24, 1577, 20, 8, 4562, 14, 12, 370, 6140, 36, 1577, 46, 15, 22, 29, 19, 117, 1459, 26661, 72, 20, 10, 978, 295, 457, 20, 10, 43, 983, 20, 8, 13, 14, 2341, 24, 983, 20, 8, 12, 1138, 20, 8, 13, 14, 2341, 7, 983, 13, 1138, 20, 8, 18, 20, 1581, 35, 1109, 11, 13, 20, 1581, 35, 9397, 20, 8, 289, 3786, 6438, 37, 1577, 7, 159, 21, 18638, 11, 13, 7776, 2880, 20, 8, 148, 27, 339, 67, 240, 6885, 2883, 23, 13583, 128, 6728, 11, 20, 10, 978, 295, 565, 20, 10, 386, 2341, 17, 22, 726, 23704, 20, 8, 16, 2580, 45, 12, 5713, 20, 8, 15, 22, 17066, 45, 12, 417, 35, 20, 8, 16, 11688, 45, 12, 23157, 12052, 6586, 11, 20, 8, 6918, 20, 8, 50, 289, 3786, 894, 6438, 27, 28, 18, 117, 173, 20, 7922, 2880, 31, 118, 20, 10, 1641, 16, 5306, 24, 908, 7, 438, 20, 8, 8700, 36, 15, 22, 570, 9247, 20, 8, 52, 22, 38, 39, 95, 2895, 137, 120, 20, 10, 1641, 15, 22, 6438, 30, 4513, 33, 15, 22, 1114, 7, 28461, 24, 1849, 9316, 31, 78, 6438, 20, 8, 160, 16, 3449, 1103, 11068, 697, 23, 23172, 35, 5601, 13, 573, 20, 8, 50, 196, 371, 14814, 51, 22, 14, 12, 661, 20, 8, 36, 15, 22, 20226, 20, 8, 7, 6414, 15, 22, 13006, 20, 8, 13, 17, 22, 109, 97, 7622, 75, 28, 16, 1775, 32, 196, 5504, 36, 16, 3457, 20, 10, 978, 19450, 20, 10, 181, 18, 117, 173, 8038, 36, 20, 3, 16, 1638, 570, 391, 20, 8, 16, 18368, 45, 11432, 1506, 50, 1103, 20, 8, 381, 12, 928, 7, 12, 12825, 45, 11432, 586, 162, 20, 8, 3786, 6438, 51, 22, 770, 51, 22, 56, 109, 768, 95, 6829, 36, 25, 908, 7, 438, 20, 8, 51, 22, 56, 1103, 1056, 12862, 75, 20, 10, 978, 295, 763, 20, 10, 568, 3027, 17, 22, 6438, 29127, 296, 12, 383, 32, 621, 14, 15, 22, 20226, 16, 283, 7, 12, 3786, 137, 56, 31865, 10144, 7, 1752, 28, 16, 312, 144, 16, 1577, 2436, 99, 19826, 137, 56, 2436, 175, 20, 8, 14, 182, 51, 22, 56, 50, 187, 84, 14, 12, 10588, 17, 22, 25, 23704, 20, 8, 9782, 18, 5748, 7, 15, 22, 6438, 31, 16, 79, 14, 1246, 7, 23984, 20, 8, 13, 7, 15, 22, 13006, 7, 15, 22, 15479, 18099, 32, 860, 2627, 15, 22, 3027, 4570, 6438, 20, 10, 978, 295, 808, 20, 10, 43, 3449, 7, 261, 9462, 11068, 57, 28, 18, 1435, 287, 33, 12, 419, 21, 697, 23, 23172, 35, 20, 10, 978, 295, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 649, 20, 10, 123, 10448, 14, 44, 10188, 3762, 20, 8, 113, 22, 24488, 215, 7, 18765, 12, 547, 11258, 20, 10, 171, 110, 130, 44, 8292, 79, 7, 306, 12, 17913, 1213, 20, 8, 130, 28703, 122, 12, 1078, 13, 16, 5363, 44, 51, 22, 130, 6026, 7, 364, 13, 16, 390, 1936, 81, 108, 18334, 27, 110, 130, 23383, 19, 4348, 20, 10, 224, 17671, 155, 14, 139, 2369, 20, 8, 13, 85, 979, 11933, 6708, 140, 22, 38, 13723, 559, 7, 1408, 11352, 11, 26, 12, 1458, 2004, 567, 27, 71, 139, 3440, 11, 20767, 7, 139, 3538, 82, 551, 29, 329, 370, 31, 773, 73, 22, 30, 918, 3304, 76, 671, 50, 1743, 67, 948, 39, 24, 25350, 74, 146, 20, 8, 79, 21, 11168, 11, 20, 8, 770, 7, 12, 18815, 51, 22, 130, 140, 22, 32001, 337, 27, 24, 430, 51, 22, 130, 4416, 242, 14, 139, 97, 20, 8, 71, 129, 673, 105, 16, 3100, 32, 228, 8060, 197, 80, 6865, 4150, 593, 14, 15, 22, 11488, 7, 183, 13093, 75, 31, 773, 4531, 67, 165, 20, 8, 238, 11258, 20, 8, 1289, 918, 1138, 38, 14875, 16, 20, 6168, 26, 16, 608, 37, 344, 4723, 20, 10, 224, 6265, 29, 1254, 7, 1806, 2978, 32, 390, 4526, 20227, 59, 344, 5256, 20, 8, 365, 130, 20, 7901, 337, 12, 2840, 20, 8, 13, 20, 8, 9333, 20, 8, 46, 25, 22877, 4500, 20, 8, 130, 1754, 5588, 12, 4091, 20, 769, 3531, 7, 21370, 20, 10, 146, 1094, 22, 130, 6265, 21120, 16, 25350, 280, 22, 14, 12, 636, 13316, 20, 8, 197, 20, 12440, 13, 5407, 18780, 11, 20, 8, 71, 15, 22, 20, 31960, 215, 15872, 37, 3375, 31, 773, 22513, 20, 8, 238, 25679, 20, 8, 2132, 918, 8335, 20, 10, 224, 19318, 57, 82, 26, 139, 97, 326, 51, 22, 130, 228, 275, 104, 24, 18514, 20, 8, 13, 20, 3, 130, 391, 54, 22, 21019, 81, 188, 27, 113, 22, 424, 1699, 635, 16, 136, 7, 8111, 75, 16, 18271, 20, 10, 26217, 10481, 16, 846, 7, 80, 1138, 17, 22, 29, 277, 468, 20, 10, 299, 19620, 35, 33, 80, 547, 5713, 130, 7412, 57, 7, 183, 1801, 14, 750, 21, 10247, 31, 773, 664, 20, 8, 16, 344, 4723, 220, 5551, 197, 12, 514, 1211, 35, 7, 4135, 74, 773, 1373, 20, 10, 773, 146, 51, 22, 30, 67, 272, 51, 22, 56, 7065, 20, 8, 21, 26, 20, 8, 16, 344, 4723, 74, 773, 166, 15, 22, 4654, 20, 10, 224, 22360, 18, 1590, 33, 59, 29879, 8429, 5577, 2467, 31, 773, 664, 20, 8, 4135, 1103, 140, 22, 21, 2457, 25, 2453, 74, 773, 1373, 20, 10, 224, 1486, 15913, 57, 121, 85, 3234, 20, 8, 280, 22, 14, 85, 14653, 2344, 20, 8, 13, 701, 113, 22, 424, 11, 5071, 1291, 26, 262, 475, 20, 8, 130, 49, 7966, 14, 3563, 13, 14, 10799, 13572, 125, 36, 12, 1492, 20, 10, 2195, 623, 14, 59, 640, 23539, 12, 547, 11258, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 15, 22, 25, 17, 22, 541, 2816, 15, 22, 277, 20, 10, 978, 566, 264, 20, 10, 53, 9311, 7, 15, 22, 25, 19, 9316, 14, 29, 1246, 7299, 1093, 1356, 20, 8, 196, 26, 15, 22, 277, 9316, 29, 646, 7, 7288, 20, 10, 978, 566, 457, 20, 10, 43, 5306, 20530, 13, 6793, 18388, 3996, 19, 9316, 20, 8, 9312, 7, 12, 468, 10505, 35, 36, 12, 431, 20, 8, 156, 18, 506, 13, 185, 18, 6146, 51, 22, 130, 10230, 7429, 57, 3770, 27, 12, 145, 841, 89, 30, 18270, 13, 51, 22, 56, 895, 20, 8, 36, 439, 14, 541, 29, 646, 6952, 75, 7386, 16823, 7, 7288, 20, 10, 8720, 1422, 20, 10, 517, 7288, 26, 646, 8784, 20, 10, 10948, 455, 328, 20, 10, 300, 18285, 11, 24, 1772, 5987, 272, 26, 646, 8784, 20, 10, 978, 566, 565, 20, 10, 2359, 27, 187, 12, 632, 19, 2832, 45, 19, 8778, 11, 32, 23239, 312, 14, 12, 419, 21, 7288, 26, 646, 8784, 20, 8, 78, 419, 50, 1103, 99, 11672, 51, 22, 37, 3449, 7, 15, 22, 6063, 28, 1007, 18, 9316, 2996, 89, 1752, 20, 10, 978, 120, 2243, 20, 10, 177, 207, 23, 58, 11, 19, 2832, 5274, 7828, 11, 36, 15, 22, 9316, 13610, 20, 8, 3410, 312, 14, 29, 7369, 12313, 7, 12, 331, 24, 1678, 418, 20, 8, 15, 22, 1588, 21, 7288, 6150, 20786, 280, 22, 185, 16, 3457, 24, 3449, 17045, 137, 208, 130, 1103, 99, 3333, 20, 8, 119, 51, 22, 56, 187, 859, 17, 22, 267, 21502, 24, 3457, 17045, 894, 254, 7, 169, 23, 328, 272, 1727, 45, 10352, 761, 4282, 184, 1168, 162, 176, 15, 22, 9316, 13610, 20, 10, 978, 120, 3777, 20, 10, 2356, 419, 21, 7288, 27796, 57, 18, 2832, 31, 130, 196, 2498, 20, 8, 46, 18, 1305, 14, 15, 22, 8912, 20, 8, 54, 22, 56, 109, 21, 38, 20, 8, 37, 534, 20, 3, 24, 3449, 391, 45, 37, 1933, 32, 21, 1736, 18, 2135, 20, 8, 36, 15, 22, 9316, 13610, 21, 370, 20, 8, 14, 182, 51, 22, 56, 52, 22, 21, 187, 14608, 36, 1300, 137, 3398, 173, 20, 8, 33, 80, 25825, 13, 16, 5281, 7, 117, 5935, 11, 21, 2835, 45, 21, 6847, 20, 8, 45, 7, 117, 13388, 7, 410, 20, 8, 16, 21537, 49, 11071, 57, 37, 1752, 24, 13610, 26, 109, 2010, 80, 419, 20, 10, 978, 120, 3564, 20, 10, 43, 1933, 20, 8, 185, 205, 1568, 16, 13610, 20, 8, 13, 129, 205, 84, 18, 9744, 51, 22, 56, 8705, 4300, 25315, 11, 20, 8, 36, 14445, 3798, 12, 419, 13, 18, 1305, 20, 8, 13, 15204, 57, 3289, 23, 19344, 7, 12, 2498, 24, 79, 21, 85, 1590, 20, 10, 141, 3289, 23, 19344, 196, 2627, 36, 16, 1933, 13, 36, 16, 13610, 20, 8, 14, 182, 27, 359, 67, 240, 50, 13821, 45, 50, 1759, 6764, 137, 3398, 173, 56, 21, 196, 84, 4904, 20, 10, 978, 120, 2887, 20, 10, 43, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 16, 310, 348, 71, 139, 18457, 14, 19, 2774, 9875, 69, 22, 30, 14, 335, 16, 24911, 45, 87, 16, 23124, 7, 12, 8113, 19, 2088, 32, 12070, 50, 39, 97, 17, 23273, 18, 217, 11, 26, 1386, 424, 102, 19, 19, 1006, 169, 39, 19, 13892, 11, 77, 1006, 19, 1341, 3547, 45, 19, 408, 236, 408, 236, 26, 1386, 7, 608, 63, 1255, 19, 1476, 7, 7, 54, 22, 1031, 240, 784, 208, 424, 102, 100, 1539, 97, 100, 1251, 57, 107, 23, 179, 203, 381, 16, 381, 18, 1219, 20728, 45, 757, 12, 395, 1239, 258, 99, 600, 600, 969, 26, 18, 1255, 373, 74, 1291, 424, 102, 71, 71, 791, 275, 104, 27, 424, 102, 252, 55, 69, 22, 30, 39, 110, 430, 27, 203, 527, 27, 348, 7229, 7, 183, 1586, 113, 22, 1551, 18, 217, 11, 32, 5030, 551, 13, 13, 100, 52, 22, 3009, 39, 110, 1120, 56, 109, 21, 38, 275, 104, 39, 430, 56, 109, 21, 38, 121, 18, 17982, 17, 22, 1962, 17, 22, 28229, 218, 7, 197, 478, 69, 22, 30, 29, 475, 160, 424, 102, 160, 71, 358, 23, 160, 71, 1323, 140, 22, 9939, 110, 36, 415, 424, 102, 100, 529, 51, 22, 56, 109, 38, 39, 600, 7, 217, 11, 906, 102, 87, 100, 1103, 139, 1282, 14, 348, 7, 7, 140, 22, 9939, 46, 12, 6104, 211, 13, 16, 13, 16, 10370, 2079, 1308, 57, 3873, 38, 102, 1291, 7, 7, 314, 110, 100, 107, 39, 21, 13049, 25, 14, 2077, 557, 45, 305, 203, 54, 22, 30, 39, 148, 575, 77, 203, 107, 49, 2674, 77, 1006, 26, 16, 310, 56, 109, 20, 3, 21, 391, 38, 121, 18, 17982, 17, 22, 1962, 63, 557, 7, 3002, 13, 21, 553, 221, 18, 1846, 557, 13, 238, 1843, 82, 56, 109, 38, 275, 104, 271, 7, 3004, 33, 689, 2919, 1255, 51, 22, 100, 38, 373, 56, 109, 38, 2590, 117, 2919, 3004, 41, 6156, 2124, 109, 21, 38, 195, 32, 52, 22, 88, 39, 7, 3004, 11796, 71, 1814, 51, 22, 1006, 18, 1051, 69, 22, 30, 466, 18, 1051, 27, 51, 22, 88, 18, 1255, 71, 1814, 69, 22, 30, 15, 22, 20, 12839, 373, 109, 38, 39, 17, 22, 2422, 26, 49, 7298, 17, 22, 2422, 4065, 7229, 424, 102, 25, 2159, 14, 3669, 10713, 332, 14, 17203, 23, 8196, 332, 109, 38, 366, 24, 79, 1006, 69, 22, 30, 69, 22, 30, 29, 304, 282, 450, 74, 13, 69, 22, 40, 51, 22, 864, 203, 2346, 13, 13, 104, 14, 17203, 424, 102, 17203, 104, 52, 22, 30, 39, 148, 390, 200, 13535, 35, 29, 304, 4937, 14, 183, 1130, 82, 107, 15, 22, 99, 9164, 13, 69, 22, 40, 39, 71, 1123, 39, 110, 48, 48, 611, 19341, 93, 143, 28, 18, 3598, 17, 22, 17203, 185, 2453, 45, 1435, 557, 24, 854, 424, 102, 69, 22, 30, 2997, 11796, 48, 10347, 3291, 169, 77, 1006, 71, 529, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 2123, 29, 8580, 332, 23, 1566, 56, 4439, 305, 25, 909, 424, 102, 1166, 7, 8120, 305, 6156, 203, 220, 11796, 56, 5434, 417, 305, 6156, 56, 768, 39, 7, 6519, 527, 27, 100, 16, 2522, 39, 77, 1006, 100, 49, 831, 51, 22, 56, 651, 14, 21, 298, 46, 29, 689, 3001, 689, 45, 46, 29, 547, 3416, 11016, 102, 45, 46, 29, 547, 24317, 424, 102, 45, 29, 117, 5845, 36, 176, 424, 102, 25, 909, 3023, 305, 21608, 56, 30, 208, 56, 109, 228, 19, 21736, 11, 11796, 305, 56, 30, 275, 104, 56, 30, 37, 23, 1566, 24, 21736, 56, 1065, 39, 21, 205, 77, 424, 102, 417, 51, 22, 14, 608, 100, 220, 608, 627, 14, 359, 23, 1268, 51, 22, 167, 44, 23, 51, 22, 14, 909, 277, 13, 18, 2774, 613, 52, 22, 613, 39, 7147, 11, 2098, 100, 48, 4439, 48, 445, 29, 6519, 7, 417, 48, 52, 22, 445, 39, 7, 6519, 100, 1767, 39, 326, 671, 208, 27, 172, 12, 2384, 17, 22, 23080, 184, 21434, 679, 100, 30, 7019, 7, 335, 671, 25, 909, 38, 29, 6519, 671, 56, 52, 22, 38, 39, 7, 6519, 153, 100, 38, 84, 753, 901, 51, 22, 100, 100, 30, 12, 706, 424, 102, 16, 533, 9850, 160, 100, 1710, 69, 22, 30, 195, 16, 2513, 19118, 408, 236, 408, 236, 906, 102, 87, 679, 424, 102, 14, 2513, 19118, 7457, 16, 1166, 17, 22, 25, 3023, 45, 16, 1166, 17, 22, 25, 169, 23, 10106, 4418, 143, 424, 102, 38, 29, 6519, 44, 32, 2086, 14, 37, 84, 1016, 69, 22, 30, 27, 753, 901, 27, 20, 3, 18, 18, 169, 23, 10106, 4418, 592, 391, 55, 195, 474, 13, 365, 20126, 195, 7, 182, 21, 182, 195, 154, 906, 102, 87, 44, 55, 541, 32, 812, 205, 19, 13332, 69, 22, 30, 14, 335, 18, 1166, 17, 22, 7626, 18, 1166, 7, 8120, 13, 7, 12196, 10526, 11, 13, 18, 303, 7, 1561, 104, 19, 19, 19, 607, 32, 32, 52, 22, 88, 39, 243, 23, 12527, 424, 102, 812, 49, 1175, 119, 6519, 13, 2118, 22, 56, 109, 768, 41, 44, 4414, 7169, 1089, 424, 102, 32, 186, 414, 424, 102, 275, 69, 22, 186, 2599, 2132, 44, 51, 22, 100, 140, 22, 38, 4102, 33, 18, 13332, 69, 22, 30, 16, 866, 24, 336, 19, 13332, 32, 140, 22, 38, 4102, 203, 38, 102, 305, 74, 424, 102, 3758, 44, 51, 22, 100, 107, 21, 335, 71, 1814, 275, 104, 27, 109, 21, 38, 271, 113, 22, 1551, 3440, 169, 71, 1306, 335, 29, 18222, 13, 71, 140, 22, 21, 2201, 41, 71, 50, 1123, 104, 39, 3443, 56, 109, 38, 17, 22, 1255, 21, 134, 2453, 3001, 2919, 74, 38, 102, 169, 39, 148, 169, 39, 148, 1525, 45, 2034, 12528, 169, 74, 424, 102, 236, 71, 1814, 51, 22, 100, 4018, 28, 18, 3148, 3001, 2919, 26, 689, 23, 18366, 23, 13345, 38, 102, 6156, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 704, 1822, 5338, 3407, 118, 20, 10, 463, 16, 350, 397, 5733, 20, 8, 12, 3118, 196, 2276, 14, 15, 22, 15358, 19, 1085, 13, 19, 2486, 6575, 17, 22, 11363, 722, 17932, 14, 15, 22, 570, 491, 20, 10, 120, 20, 10, 61, 1459, 26661, 72, 289, 14, 15, 22, 20, 11089, 15119, 19, 1085, 45, 19, 2486, 6575, 17, 22, 11363, 722, 169, 17932, 14, 15, 22, 570, 491, 14, 20593, 14, 12, 3118, 20, 10, 181, 16, 173, 17, 22, 29, 1276, 15358, 20, 8, 12, 2489, 7, 12, 1084, 7324, 30, 38, 2925, 9339, 20, 8, 110, 809, 20, 8, 36, 29, 995, 8396, 36, 12, 1609, 36, 25, 2045, 14, 15, 22, 20, 11089, 19, 1459, 26661, 72, 20, 10, 132, 909, 13674, 122, 21, 2310, 20, 8, 185, 205, 95, 10780, 14, 15, 22, 20, 11089, 36, 221, 18, 1459, 26661, 72, 20, 8, 16, 4508, 361, 4949, 194, 1016, 12, 2278, 20, 8, 36, 16, 599, 27931, 20, 8, 7, 12, 636, 9555, 14, 285, 340, 20, 10, 126, 20, 10, 229, 15358, 54, 22, 14816, 14, 12, 3118, 155, 51, 22, 14, 197, 11745, 13, 79, 4313, 911, 3762, 32, 2996, 95, 4173, 11, 14, 12, 737, 7, 15, 22, 15358, 20, 8, 26350, 701, 15, 22, 6296, 17, 22, 15358, 4260, 29, 2279, 15944, 7, 169, 23, 8864, 7, 15, 22, 29, 45, 7, 247, 16335, 209, 27, 18, 16335, 455, 20, 8, 1422, 20, 8, 2682, 13, 4144, 20, 10, 161, 20, 10, 61, 5970, 17, 22, 15358, 55, 16654, 687, 24, 599, 7, 12, 1111, 633, 20, 10, 978, 694, 12909, 11, 6174, 1477, 50, 107, 99, 6780, 35, 14, 15, 22, 6033, 7, 12, 3118, 20, 10, 978, 760, 11005, 21, 2310, 118, 20, 10, 53, 3118, 122, 296, 21, 2310, 16, 4508, 361, 4949, 194, 1016, 12, 737, 14, 20, 3, 740, 391, 221, 18, 1459, 26661, 72, 14, 12, 3118, 17, 22, 20, 26954, 13, 221, 18, 1459, 26661, 72, 14, 12, 3118, 7, 210, 2996, 6687, 89, 6296, 7, 25998, 20, 8, 17, 22, 18176, 20, 8, 17, 22, 20, 11037, 45, 17, 22, 15358, 20, 10, 120, 20, 10, 181, 16, 173, 17, 22, 25, 6777, 45, 17, 22, 29, 2362, 4312, 17, 22, 11363, 722, 169, 14146, 37, 5432, 118, 20, 8, 12, 3118, 122, 296, 21, 2310, 3835, 37, 5432, 118, 20, 8, 45, 16, 4508, 361, 4949, 194, 1016, 12, 737, 7, 4161, 7, 15, 22, 6296, 7, 25998, 20, 8, 17, 22, 18176, 20, 8, 17, 22, 20, 11037, 45, 17, 22, 15358, 36, 285, 6777, 45, 36, 78, 2362, 4312, 17, 22, 11363, 722, 20, 8, 110, 78, 737, 30, 24907, 20, 10, 978, 350, 1113, 2677, 240, 442, 118, 20, 10, 147, 250, 26661, 35, 107, 9776, 12, 3118, 14, 79, 310, 185, 15, 22, 20, 16195, 17, 22, 25, 1775, 7, 117, 128, 14, 1620, 7, 12, 737, 17, 22, 2748, 21, 2310, 7, 12, 3118, 26, 18657, 250, 26661, 35, 20, 8, 36, 9555, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 21, 3811, 103, 2017, 4778, 443, 20, 10, 178, 30, 10458, 28, 15, 9, 3218, 20, 8, 82, 25, 19504, 137, 13, 275, 16, 6131, 7, 59, 11, 6491, 6718, 162, 17, 9, 25, 1141, 14, 15, 9, 277, 7, 15, 9, 8055, 20, 8, 25612, 18, 20820, 11, 20, 8, 390, 2014, 3517, 4285, 176, 18, 3296, 20, 8, 100, 30, 14875, 46, 129, 20, 8, 100, 1374, 35, 14, 5798, 23, 184, 9, 15487, 20, 8, 7, 67, 240, 7, 67, 1268, 20, 8, 100, 52, 9, 38, 51, 9, 14, 49, 1165, 97, 20, 10, 178, 30, 980, 20, 8, 100, 30, 2477, 20, 8, 56, 84, 1322, 225, 70, 54, 9, 20, 15951, 6784, 20, 10, 892, 23, 7176, 30, 27324, 7, 129, 20, 10, 70, 49, 1943, 430, 14, 12, 8670, 20, 10, 70, 30, 14, 12, 443, 20, 8, 7149, 36, 750, 20, 8, 18, 2164, 28, 85, 1590, 20, 10, 70, 651, 7, 4852, 27, 16, 5542, 5540, 6123, 186, 25, 3311, 20, 8, 16, 217, 75, 248, 29, 4555, 20, 10, 70, 28603, 49, 52, 8247, 21, 8228, 24, 5920, 20, 10, 70, 30, 7120, 13, 25, 154, 29294, 27, 18, 209, 52, 9, 109, 18007, 39, 1726, 20, 8, 21, 1882, 28, 12, 1492, 20, 10, 70, 15198, 80, 1138, 36, 16, 4205, 7, 80, 18757, 31, 47, 986, 2730, 87, 27, 69, 9, 30, 15, 9, 2813, 76, 70, 219, 598, 36, 16, 2888, 20, 10, 65, 101, 43, 2888, 30, 29, 306, 7, 20, 6697, 2955, 122, 18, 15, 959, 3816, 11, 5098, 20, 10, 101, 531, 1138, 601, 20, 8, 119, 104, 15, 9, 4880, 20, 10, 70, 30, 2377, 790, 143, 20, 8, 14, 12, 478, 17, 9, 25, 2756, 7221, 32, 1206, 16, 418, 13834, 381, 80, 1392, 20, 10, 60, 9, 4383, 17, 9, 185, 20, 8, 56, 52, 9, 109, 14819, 41, 20, 10, 43, 217, 75, 248, 52, 9, 30, 41, 12, 886, 20, 10, 20, 3, 70, 391, 30, 15869, 2409, 20, 8, 13081, 79, 7, 59, 542, 20, 8, 16, 27013, 33, 12, 2443, 20, 8, 3983, 12861, 19, 8576, 7, 80, 3920, 20, 8, 13, 49, 1754, 9241, 16, 12403, 17642, 20, 8, 21, 1004, 2306, 20, 10, 70, 30, 15850, 28, 12, 27792, 17, 9, 29, 20700, 122, 18, 15908, 11, 20, 10, 61, 2219, 19, 15, 959, 3816, 11, 3712, 5013, 4572, 82, 19, 12086, 20, 10, 43, 6740, 3327, 98, 5573, 5381, 19172, 20, 8, 56, 1039, 29, 3713, 137, 56, 109, 38, 19, 5364, 558, 20, 10, 132, 2919, 23, 1626, 2571, 25115, 31, 56, 30, 1137, 82, 25, 20, 17757, 20, 10, 43, 28124, 648, 3282, 20, 8, 15, 9, 940, 50, 15, 9, 2753, 1115, 39, 20, 10, 7333, 50, 54, 9, 6937, 7, 129, 20, 8, 56, 52, 9, 38, 487, 7, 370, 20, 10, 70, 107, 104, 49, 598, 19, 7451, 23, 1626, 5540, 7534, 20, 8, 13, 19, 24295, 11, 24, 217, 75, 248, 20, 8, 46, 89, 7549, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 41, 112, 305, 26, 18, 1196, 19, 303, 408, 236, 408, 236, 305, 26, 2334, 14, 14, 12, 304, 17, 22, 12763, 17, 22, 864, 48, 30, 23, 272, 27, 30, 23, 272, 51, 22, 86, 84, 600, 26, 18, 1262, 14, 17203, 74, 20728, 424, 102, 100, 49, 25660, 195, 87, 890, 100, 52, 22, 40, 371, 4546, 1006, 71, 1123, 27, 12, 395, 19, 3097, 424, 102, 36, 415, 64, 100, 38, 5767, 2453, 128, 188, 17, 22, 561, 25, 1642, 100, 186, 28, 25, 117, 1305, 119, 2813, 435, 20, 16980, 11, 435, 597, 27, 44, 187, 39, 112, 703, 17, 22, 1168, 100, 38, 5767, 2453, 128, 188, 17, 22, 561, 25, 1642, 424, 102, 100, 38, 1432, 542, 679, 6156, 100, 49, 529, 87, 1291, 20728, 6156, 679, 100, 30, 4546, 100, 17931, 25, 1642, 48, 611, 87, 48, 611, 87, 8812, 69, 22, 385, 79, 26, 64, 16, 399, 424, 102, 203, 220, 69, 22, 40, 69, 22, 40, 39, 77, 48, 445, 1432, 51, 22, 7500, 2453, 128, 26, 25, 1642, 69, 22, 40, 69, 22, 40, 542, 11796, 74, 69, 22, 40, 275, 104, 542, 11796, 74, 208, 51, 22, 86, 38, 606, 18, 31723, 11, 13, 79, 2472, 32, 1069, 19, 3097, 79, 7, 306, 208, 424, 102, 332, 69, 22, 385, 498, 424, 102, 348, 71, 235, 10079, 247, 168, 37, 336, 17, 22, 388, 11030, 424, 102, 424, 102, 183, 2711, 30, 17, 22, 878, 5528, 14352, 21071, 77, 1473, 21, 134, 13, 100, 139, 16802, 110, 113, 22, 1579, 6660, 268, 107, 23, 179, 424, 102, 71, 89, 1551, 230, 29, 168, 107, 23, 179, 27, 110, 113, 22, 1579, 6660, 424, 102, 113, 22, 3580, 424, 41, 1012, 25, 1642, 424, 102, 77, 18, 607, 17, 22, 12763, 88, 271, 7, 430, 14, 548, 19, 3097, 45, 208, 219, 99, 29979, 1148, 219, 99, 424, 102, 12, 395, 24, 1642, 20, 3, 203, 391, 64, 38, 21981, 112, 112, 4736, 48, 4389, 100, 228, 117, 1341, 1305, 424, 102, 39, 17, 22, 248, 39, 17, 22, 16980, 366, 424, 102, 100, 228, 29, 727, 2340, 203, 100, 228, 29, 727, 2340, 203, 69, 22, 40, 79, 597, 100, 1777, 39, 28, 12, 2340, 11796, 74, 208, 332, 48, 10007, 275, 104, 38, 102, 1291, 51, 22, 86, 860, 952, 23, 569, 97, 38, 102, 1291, 41, 38, 102, 1291, 38, 102, 1291, 203, 113, 22, 11592, 27, 1291, 679, 6156, 48, 3392, 424, 102, 100, 49, 7172, 7, 44, 51, 22, 86, 38, 100, 30, 87, 100, 30, 87, 22387, 1291, 100, 38, 19, 765, 3097, 6156, 16, 399, 424, 102, 203, 3031, 7, 64, 1006, 219, 39, 368, 99, 112, 368, 11201, 169, 41, 1291, 13, 275, 100, 230, 424, 102, 100, 50, 100, 648, 97, 41, 26, 158, 51, 22, 86, 1065, 97, 41, 26, 18, 607, 17, 22, 12763, 1291, 51, 22, 40, 23, 272, 51, 22, 86, 657, 335, 36, 100, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 13, 17, 22, 4375, 24, 1030, 13, 36, 18, 2219, 2727, 31, 67, 16, 4184, 774, 9170, 1046, 172, 18, 9619, 7, 15, 22, 4375, 24, 1046, 280, 22, 14, 59, 324, 17, 22, 20, 24469, 46, 16, 28202, 2846, 9170, 6618, 20, 8, 67, 16, 28202, 2846, 9170, 6618, 280, 22, 14, 59, 324, 17, 22, 20, 24469, 46, 16, 4184, 774, 9170, 1030, 20, 8, 13, 67, 16, 4184, 774, 9170, 1030, 280, 22, 14, 59, 324, 17, 22, 20, 24469, 46, 18, 9619, 17, 22, 4375, 24, 1030, 20, 10, 6768, 1422, 31, 26974, 13, 2196, 19, 11350, 7, 5202, 17932, 36, 12, 3118, 978, 4144, 31, 12852, 7, 15, 22, 1945, 7, 15016, 118, 20, 10, 61, 581, 7, 12, 1609, 20, 8, 1032, 13, 36, 15, 22, 10205, 7, 12, 1609, 20, 8, 20, 10585, 15, 22, 1945, 7, 15016, 20, 8, 1276, 27, 11114, 28, 18, 1927, 14954, 24, 850, 7, 2262, 13, 206, 45, 7, 15, 22, 1639, 7, 1265, 2096, 7, 6337, 20, 8, 26, 12, 4182, 20, 8, 12, 540, 13, 15, 22, 2196, 1554, 19, 11350, 7, 5202, 17932, 36, 12, 655, 3118, 20, 10, 120, 20, 10, 94, 804, 20, 8, 18, 581, 7, 12, 1609, 3078, 17, 22, 770, 41, 7, 13850, 27, 18, 508, 55, 14849, 72, 20, 8, 154, 13897, 45, 267, 944, 14034, 9683, 20, 10, 43, 1215, 17, 22, 508, 2342, 11529, 11, 50, 6493, 99, 23282, 26, 50, 39, 364, 7, 1177, 7, 4182, 13, 7, 540, 45, 26, 21, 23341, 98, 15, 22, 20, 4979, 20, 10, 126, 20, 10, 1641, 15, 22, 1114, 19, 11350, 7, 5202, 17932, 45, 19, 3011, 169, 18326, 20, 8, 45, 19, 3011, 10973, 45, 9022, 72, 1039, 761, 14518, 20, 8, 18, 581, 7, 20, 3, 12, 1609, 391, 26155, 12, 3272, 51, 22, 252, 20709, 33, 114, 11350, 13, 3011, 294, 17, 22, 7262, 89, 1114, 13, 15, 22, 6003, 19, 1177, 7, 4182, 13, 7, 540, 20, 10, 460, 484, 1512, 361, 1578, 114, 1177, 21, 587, 19, 550, 508, 2342, 1518, 20, 10, 978, 448, 31, 3859, 586, 7424, 19, 1177, 7, 4182, 13, 7, 540, 118, 20, 10, 6174, 1099, 7, 12, 655, 3118, 50, 258, 1787, 5971, 45, 16031, 14, 12, 9401, 45, 63, 563, 9157, 11, 19, 1085, 29508, 11, 1935, 14, 15, 22, 20382, 13, 14, 15, 22, 9486, 20, 8, 14, 12, 4182, 13, 14, 12, 540, 19, 1106, 11319, 21175, 28, 18, 1789, 9721, 7, 89, 9401, 45, 7, 89, 9456, 691, 1408, 51, 22, 12681, 28, 12, 3118, 33, 16, 283, 7, 12, 886, 45, 37, 283, 51, 22, 88, 121, 18, 1085, 14, 44, 27, 159, 17428, 2612, 111, 21, 1546, 886, 3835, 14, 12, 3118, 33, 16, 283, 7, 12, 886, 20, 10, 120, 20, 10, 61, 1177, 7, 4182, 13, 7, 540, 16631, 26, 12, 1546, 886, 13, 951, 8396, 11, 26, 18, 1789, 9721, 7, 12, 9456, 691, 670, 99, 16085, 20, 8, 294, 7, 3320, 12, 4182, 13, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 100, 1206, 38, 102, 1291, 27, 275, 100, 902, 69, 22, 40, 39, 12, 104, 475, 13, 110, 48, 7, 3493, 135, 335, 617, 475, 14, 1987, 22, 58, 32, 48, 30, 1970, 36, 415, 1291, 30, 23, 272, 27, 48, 761, 12010, 6773, 3247, 45, 87, 851, 16, 314, 74, 38, 102, 48, 7229, 203, 203, 140, 22, 7132, 4148, 35, 25, 154, 41, 527, 27, 17558, 424, 102, 71, 3035, 3247, 13, 113, 22, 5851, 400, 1450, 75, 13, 54, 22, 66, 38, 39, 16, 1450, 74, 54, 22, 66, 38, 39, 16, 1450, 208, 113, 22, 103, 1306, 348, 275, 100, 30, 82, 203, 109, 38, 1987, 22, 58, 26, 424, 102, 113, 22, 11101, 5723, 48, 3247, 135, 74, 1291, 208, 48, 419, 6773, 14, 1987, 22, 58, 26, 424, 102, 74, 1291, 14, 32, 48, 419, 6773, 74, 14, 29, 5887, 424, 102, 617, 475, 82, 203, 527, 27, 527, 27, 71, 10844, 11, 19, 16161, 71, 791, 1291, 208, 203, 140, 22, 7132, 4148, 98, 242, 13, 27, 48, 17712, 275, 104, 129, 3247, 27, 17, 22, 1947, 424, 102, 27, 48, 5171, 26, 851, 16, 314, 20728, 110, 69, 22, 40, 39, 368, 703, 208, 71, 113, 22, 1250, 400, 851, 314, 140, 102, 110, 69, 22, 40, 703, 6156, 169, 48, 611, 69, 22, 40, 7019, 17, 22, 5433, 77, 110, 69, 22, 40, 39, 368, 703, 113, 22, 5851, 400, 851, 314, 408, 236, 1291, 30, 23, 272, 51, 22, 167, 90, 1130, 69, 22, 40, 112, 645, 17, 22, 561, 29, 727, 7623, 74, 6156, 203, 48, 621, 1291, 13, 17, 22, 561, 7, 15, 22, 14587, 74, 1291, 48, 10007, 27, 69, 22, 40, 645, 45, 87, 74, 20728, 71, 1123, 39, 305, 77, 30, 23, 272, 27, 48, 3392, 27, 69, 22, 40, 29, 475, 1357, 45, 39, 74, 110, 100, 1439, 14, 16, 825, 1291, 45, 757, 45, 757, 30, 23, 272, 27, 48, 49, 6773, 4761, 14, 44, 51, 22, 86, 14, 44, 51, 22, 86, 2384, 20, 3, 15, 22, 14587, 391, 36, 415, 74, 51, 22, 86, 12, 7216, 107, 23, 179, 51, 22, 86, 220, 12794, 19, 634, 11796, 74, 20728, 6156, 69, 22, 40, 44, 51, 22, 86, 679, 48, 445, 48, 109, 38, 1120, 27, 20, 16925, 23, 27, 90, 2711, 30, 612, 45, 74, 71, 235, 39, 9416, 38, 102, 305, 424, 102, 48, 52, 22, 6031, 39, 9416, 74, 169, 13, 275, 48, 445, 424, 102, 275, 48, 27004, 29, 1692, 36, 415, 30, 23, 272, 27, 1006, 51, 22, 40, 23, 272, 51, 22, 40, 23, 272, 27, 48, 9529, 87, 24175, 82, 1634, 13, 285, 3798, 1006, 74, 20728, 71, 7827, 195, 24, 1634, 1371, 195, 24, 1634, 1371, 74, 1371, 1371, 1291, 1291, 48, 17712, 74, 1291, 671, 203, 74, 6156, 71, 1123, 39, 71, 529, 69, 22, 40, 41, 10450, 71, 529, 1006, 71, 1123, 39, 13, 21, 553, 48, 17712, 24175, 24, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 82, 12, 576, 20863, 25, 1640, 3114, 20, 8, 2663, 129, 67, 549, 603, 3009, 1445, 36, 12, 7718, 1358, 17, 22, 29, 69, 25070, 4980, 51, 22, 56, 1474, 81, 21, 811, 2116, 20, 10, 70, 26737, 80, 8910, 20, 8, 17722, 20, 8, 952, 2236, 2139, 137, 365, 20, 8, 49, 30395, 14, 6353, 20, 8, 1339, 18330, 37, 2432, 7, 569, 9133, 17, 22, 4762, 20, 8, 56, 230, 14, 15695, 17, 22, 29, 1018, 25, 154, 3950, 31, 773, 73, 22, 30, 4885, 20, 8, 48, 445, 1779, 6808, 222, 20, 8, 48, 74, 225, 178, 529, 195, 1987, 22, 58, 26, 48, 1944, 14, 5551, 20, 8, 100, 50, 698, 371, 370, 32, 48, 8436, 14, 2035, 20, 10, 43, 194, 49, 16, 504, 242, 20, 10, 245, 1141, 7, 12, 614, 7, 12, 1121, 6123, 11252, 20, 8, 18, 2353, 24, 8347, 3727, 2800, 5187, 1261, 613, 221, 10860, 137, 13, 20, 8, 37, 23, 1566, 7, 12, 338, 9516, 19, 20, 23906, 11, 20, 8, 16, 69, 202, 1050, 2491, 7, 12, 329, 614, 12174, 918, 66, 10332, 20, 8, 28, 16, 2828, 19467, 20, 8, 29, 1846, 23, 218, 68, 7, 14847, 20, 10, 2663, 20, 8, 32, 54, 22, 186, 21665, 37, 23, 1566, 7, 441, 11012, 20, 8, 14839, 11, 7, 6008, 11, 20, 8, 54, 22, 13286, 20, 8, 37, 7332, 24, 14326, 20, 8, 33, 19, 3623, 11, 7, 7323, 144, 13929, 559, 19, 24385, 11, 15, 7127, 11, 7, 1495, 20, 8, 1140, 242, 21, 15, 22, 3218, 679, 20, 8, 122, 18, 7220, 13920, 20, 8, 12707, 33, 18, 20171, 2828, 556, 20, 8, 37, 1240, 24, 2151, 2160, 20, 10, 70, 5544, 36, 54, 22, 5848, 148, 20, 8, 18, 979, 13505, 11, 33, 29, 19, 12971, 11, 6117, 11, 7, 1916, 32, 13806, 111, 18, 117, 11083, 7, 6321, 13, 1170, 7, 18, 9443, 20, 10, 15695, 129, 13021, 44, 51, 22, 56, 13426, 332, 23, 11932, 20, 10, 773, 20, 3, 73, 22, 391, 30, 44, 10703, 7, 1303, 2951, 1567, 20, 8, 230, 16, 5299, 119, 1020, 20, 10, 70, 30, 20, 8, 26, 890, 20, 8, 28, 617, 27333, 20, 8, 14, 182, 51, 22, 56, 52, 22, 1932, 677, 12, 789, 46, 18, 14347, 7, 12, 7323, 63, 20548, 11, 225, 133, 22, 1551, 487, 7, 129, 26, 29, 1591, 20, 10, 146, 56, 18312, 27, 59, 1984, 1303, 2951, 1567, 603, 1432, 20, 8, 25, 1010, 20, 8, 36, 29, 20017, 20, 8, 28, 25, 10516, 7, 24403, 20, 8, 13, 51, 22, 56, 28442, 33, 16, 217, 75, 248, 20, 8, 7329, 20, 10, 844, 100, 2317, 81, 15, 22, 4525, 14, 15, 22, 2456, 20, 8, 56, 17026, 5368, 20, 8, 56, 5560, 81, 16, 11046, 63, 15481, 11, 20, 10, 70, 21, 13669, 18, 16727, 13351, 1316, 20, 8, 18, 18313, 17, 22, 29, 14279, 7, 1166, 20, 8, 18073, 46, 19, 20, 23173, 11, 17, 22, 20, 31335, 20, 8, 37, 907, 7, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 13, 100, 38, 4347, 1148, 46, 12, 2999, 2933, 7, 4681, 26, 97, 29, 329, 2134, 424, 102, 110, 48, 2182, 29, 2134, 1038, 37, 393, 19, 903, 3160, 1291, 208, 424, 102, 3114, 14, 44, 2805, 23, 1268, 100, 38, 95, 7019, 7, 1251, 221, 18, 2419, 7, 191, 13, 7, 408, 236, 408, 236, 7, 49, 25437, 26, 2472, 3470, 14, 99, 1291, 37, 393, 1601, 110, 48, 2182, 38, 102, 1291, 48, 445, 1291, 69, 22, 40, 810, 69, 22, 40, 29, 4592, 7, 3160, 48, 445, 1779, 314, 19, 19, 2435, 28, 12, 468, 104, 7, 1132, 74, 20728, 6156, 203, 2124, 28, 12, 468, 7, 1132, 679, 424, 102, 466, 63, 8911, 27877, 906, 102, 6156, 100, 100, 2047, 46, 19, 3847, 6215, 13, 46, 19, 10246, 208, 51, 22, 2306, 100, 2123, 79, 14, 12, 697, 408, 236, 408, 236, 104, 14, 100, 1439, 14, 17203, 100, 49, 2481, 7, 6156, 14, 17203, 100, 49, 2481, 39, 17, 22, 5931, 11, 77, 1006, 195, 100, 54, 23, 1291, 79, 30, 4203, 2565, 150, 26072, 275, 104, 77, 17, 22, 864, 18, 327, 27, 52, 23, 27, 100, 8487, 37, 1969, 252, 5064, 46, 19, 10246, 17, 22, 864, 18, 327, 1291, 13, 203, 69, 22, 40, 48, 10007, 203, 87, 74, 208, 203, 2124, 203, 203, 10646, 12, 383, 24, 191, 13, 16, 5160, 69, 22, 40, 10627, 69, 22, 40, 1291, 13, 26, 18, 2959, 541, 23, 2570, 69, 22, 40, 627, 38, 102, 6156, 69, 22, 40, 69, 22, 40, 1006, 26, 64, 26, 64, 203, 203, 1976, 203, 203, 1976, 39, 1784, 100, 38, 271, 7, 191, 14, 97, 24742, 110, 48, 2182, 144, 203, 38, 3111, 271, 69, 22, 40, 28, 121, 18, 2704, 144, 3470, 18, 20, 3, 18, 9618, 11, 391, 55, 28378, 110, 48, 2182, 18, 11260, 7, 2598, 13, 79, 55, 2832, 14, 1291, 15, 22, 5931, 332, 208, 1291, 26, 541, 18, 506, 7, 191, 670, 99, 41, 3908, 11, 527, 27, 69, 22, 40, 37, 5160, 332, 69, 22, 40, 37, 1291, 408, 236, 408, 236, 1291, 424, 102, 30, 23, 272, 27, 30, 23, 272, 27, 30, 23, 272, 51, 22, 103, 38, 48, 445, 268, 424, 19, 3091, 7, 3509, 11, 45, 19, 634, 82, 203, 74, 1291, 109, 38, 424, 247, 3509, 11, 1291, 28, 238, 1516, 113, 22, 105, 424, 247, 3509, 11, 48, 445, 424, 247, 3509, 11, 13, 450, 203, 54, 22, 40, 10001, 86, 23, 450, 203, 54, 22, 40, 677, 424, 102, 30, 23, 272, 27, 48, 425, 8804, 74, 5739, 135, 203, 203, 2783, 195, 19, 25, 154, 7, 1091, 11155, 1335, 122, 104, 993, 16, 815, 527, 27, 109, 38, 195, 18, 10552, 7, 12, 3509, 1291, 13, 18, 169, 424, 102, 10552, 208, 424, 102, 1291, 77, 203, 2892, 275, 104, 19, 14027, 1289, 1291, 56, 21, 8908, 195, 424, 102, 207, 3499, 11, 45, 4518, 7, 1291, 1669, 191, 1291, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 7, 20, 11898, 9191, 408, 236, 408, 236, 30, 23, 272, 27, 1006, 450, 30, 23, 272, 27, 48, 20814, 316, 26, 424, 102, 26, 424, 102, 9017, 36, 415, 424, 102, 30, 23, 272, 27, 69, 22, 40, 7, 38, 102, 679, 424, 102, 7578, 74, 408, 236, 408, 236, 424, 102, 7, 12, 1967, 45, 30, 23, 272, 27, 109, 38, 29, 109, 38, 29, 1254, 7, 6156, 37, 324, 7, 518, 20, 11898, 9191, 3478, 424, 102, 1291, 69, 22, 40, 408, 236, 600, 573, 69, 22, 40, 498, 112, 4437, 11796, 408, 236, 408, 236, 36, 415, 424, 102, 25, 940, 32, 16326, 424, 102, 32, 50, 16326, 39, 18, 2960, 23, 305, 100, 4081, 27, 16, 2960, 23, 49, 16326, 21, 21, 3861, 18, 7237, 424, 102, 21, 188, 21, 3861, 12, 1078, 37, 5363, 100, 12, 6248, 242, 25, 79, 344, 154, 1006, 408, 236, 408, 236, 44, 51, 22, 86, 4081, 7457, 23, 79, 23, 167, 23, 7263, 21, 1291, 1291, 1291, 20, 11898, 9191, 597, 11796, 153, 71, 129, 7869, 25, 1709, 23, 25960, 28, 12, 2840, 424, 102, 71, 16, 1610, 23351, 71, 129, 20, 6723, 33, 18, 1602, 11, 13, 71, 129, 1610, 335, 25, 2960, 23, 1006, 69, 22, 40, 498, 121, 18, 3426, 17, 22, 16625, 55, 20, 11898, 9191, 11, 13, 1006, 55, 484, 143, 728, 16224, 7, 468, 112, 819, 1006, 408, 236, 408, 236, 46, 19, 1709, 23, 25960, 46, 18, 5670, 46, 16, 4143, 46, 18, 8217, 27, 13, 48, 445, 19, 1709, 23, 25960, 69, 22, 40, 450, 203, 19, 74, 1291, 71, 1306, 48, 2163, 1006, 38, 102, 48, 21, 445, 332, 74, 1291, 1291, 6156, 71, 2047, 373, 108, 11796, 38, 102, 1291, 17, 22, 1259, 1291, 1291, 305, 36, 415, 26, 97, 335, 25, 38, 12, 1078, 87, 6171, 424, 102, 408, 236, 408, 236, 113, 22, 6723, 33, 12, 1078, 46, 203, 424, 102, 26, 97, 335, 16, 2960, 23, 36, 415, 71, 4888, 20, 3, 12, 1078, 391, 46, 203, 424, 102, 26, 97, 335, 25, 140, 54, 424, 102, 71, 129, 7869, 618, 33, 12, 3002, 7, 12, 1078, 527, 27, 69, 22, 40, 19, 2794, 112, 112, 3066, 1006, 424, 102, 109, 38, 39, 25, 1709, 23, 25960, 26, 262, 424, 102, 324, 17, 22, 16625, 11796, 46, 25, 1709, 23, 25960, 100, 107, 112, 87, 49, 23188, 75, 1291, 77, 1006, 617, 168, 69, 22, 40, 41, 658, 17, 22, 561, 424, 102, 247, 17, 22, 561, 1677, 7, 1709, 23, 25960, 1291, 1291, 305, 20728, 6156, 109, 38, 121, 339, 14, 6637, 109, 21, 38, 6014, 77, 20728, 1291, 208, 1291, 69, 22, 40, 39, 112, 2458, 7, 121, 18, 205, 305, 113, 22, 105, 29, 4186, 108, 36, 415, 26, 79, 44, 32, 18, 18, 17058, 12869, 424, 102, 18, 20, 3906, 656, 52, 833, 3104, 26, 89, 2033, 14, 23351, 36, 16, 5256, 45, 18, 17058, 12869, 52, 833, 3104, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 608, 37, 344, 4723, 20, 10, 224, 6265, 29, 1254, 7, 1806, 2978, 32, 390, 4526, 20227, 59, 344, 5256, 20, 8, 365, 130, 20, 7901, 337, 12, 2840, 20, 8, 13, 20, 8, 9333, 20, 8, 46, 25, 22877, 4500, 20, 8, 130, 1754, 5588, 12, 4091, 20, 769, 3531, 7, 21370, 20, 10, 146, 1094, 22, 130, 6265, 21120, 16, 25350, 280, 22, 14, 12, 636, 13316, 20, 8, 197, 20, 12440, 13, 5407, 18780, 11, 20, 8, 71, 15, 22, 20, 31960, 215, 15872, 37, 3375, 31, 773, 22513, 20, 8, 238, 25679, 20, 8, 2132, 918, 8335, 20, 10, 224, 19318, 57, 82, 26, 139, 97, 326, 51, 22, 130, 228, 275, 104, 24, 18514, 20, 8, 13, 130, 54, 22, 21019, 81, 188, 27, 113, 22, 424, 1699, 635, 16, 136, 7, 8111, 75, 16, 18271, 20, 10, 26217, 10481, 16, 846, 7, 80, 1138, 17, 22, 29, 277, 468, 20, 10, 299, 19620, 35, 33, 80, 547, 5713, 130, 7412, 57, 7, 183, 1801, 14, 750, 21, 10247, 31, 773, 664, 20, 8, 16, 344, 4723, 220, 5551, 197, 12, 514, 1211, 35, 7, 4135, 74, 773, 1373, 20, 10, 773, 146, 51, 22, 30, 67, 272, 51, 22, 56, 7065, 20, 8, 21, 26, 20, 8, 16, 344, 4723, 74, 773, 166, 15, 22, 4654, 20, 10, 224, 22360, 18, 1590, 33, 59, 29879, 8429, 5577, 2467, 31, 773, 664, 20, 8, 4135, 1103, 140, 22, 21, 2457, 25, 2453, 74, 773, 1373, 20, 10, 224, 1486, 15913, 57, 121, 85, 3234, 20, 8, 280, 22, 14, 85, 14653, 2344, 20, 8, 13, 701, 113, 22, 424, 11, 5071, 1291, 26, 262, 475, 20, 8, 130, 49, 7966, 14, 3563, 13, 14, 10799, 13572, 125, 36, 12, 1492, 20, 10, 2195, 623, 14, 59, 640, 23539, 12, 547, 11258, 514, 5849, 59, 25350, 82, 110, 130, 52, 22, 228, 371, 1188, 16, 619, 7, 20, 3, 80, 1138, 391, 20, 10, 1418, 20, 8, 44, 50, 603, 39, 14, 417, 35, 3393, 200, 51, 22, 130, 20, 28588, 85, 5033, 2425, 20, 10, 224, 7966, 33, 183, 3375, 25, 16029, 79, 7487, 14, 359, 27, 113, 22, 9249, 901, 14, 80, 1082, 12, 789, 17, 22, 188, 20, 8, 13, 12, 1018, 79, 13282, 35, 20, 8, 130, 139, 230, 31, 773, 986, 196, 11, 9596, 35, 28, 2220, 303, 20, 8, 2493, 1151, 20, 10, 124, 52, 22, 424, 11, 39, 14, 2764, 110, 1120, 238, 8335, 137, 2195, 623, 15, 22, 8094, 242, 46, 130, 20, 10, 2354, 59, 1548, 1457, 14, 210, 20, 8, 130, 228, 1432, 16, 842, 7, 49, 783, 274, 406, 883, 20, 10, 146, 17, 22, 541, 20, 8, 13, 19, 303, 20, 8, 130, 228, 417, 14, 139, 335, 20, 8, 27, 12, 584, 22360, 79, 3137, 188, 51, 22, 130, 52, 22, 23383, 2434, 20, 10, 146, 110, 20, 8, 28, 18, 287, 32, 1014, 3309, 20, 8, 71, 4416, 757, 14, 2087, 18, 1590, 13878, 11, 156, 238, 622, 20, 8, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 3423, 81, 7, 15, 22, 2813, 20, 8, 14, 1846, 2340, 4116, 35, 20, 8, 139, 6930, 85, 22950, 137, 13, 130, 4911, 81, 28, 25, 12550, 24, 20, 10690, 20, 8, 1572, 29, 18757, 20786, 14, 15, 22, 2748, 20, 10, 124, 390, 2071, 11, 16, 2990, 20, 10, 224, 186, 148, 37, 3135, 20, 8, 77, 18699, 35, 17, 22, 25, 11673, 1911, 20, 10, 224, 49, 7966, 14, 3563, 21, 139, 10741, 85, 4348, 129, 11, 3085, 20, 10, 20342, 287, 185, 20, 8, 64, 6098, 1167, 20, 10, 20342, 287, 7, 41, 20, 8, 13, 64, 16, 7, 2264, 1335, 148, 1695, 20, 10, 224, 54, 22, 20, 14648, 1303, 10690, 57, 20, 8, 17, 22, 25, 15045, 119, 831, 20, 8, 13, 30052, 337, 44, 840, 82, 54, 22, 56, 23383, 992, 6762, 6988, 75, 449, 20, 10, 13932, 7, 21716, 20533, 20, 8, 130, 228, 26419, 25, 1173, 3158, 3888, 1707, 17110, 20, 10, 711, 2711, 186, 7539, 7, 15, 22, 6777, 20, 10, 124, 52, 22, 1551, 371, 1754, 87, 37, 618, 3734, 2135, 56, 7041, 7541, 20, 10, 124, 3641, 105, 51, 22, 56, 186, 813, 8070, 20, 8, 13, 71, 52, 22, 21, 13021, 215, 39, 41, 542, 20, 10, 664, 20, 8, 18178, 15, 22, 1962, 7, 59, 3135, 20, 8, 130, 18316, 262, 194, 185, 183, 3757, 97, 12, 22799, 21, 238, 443, 20, 10, 2359, 22799, 76, 177, 69, 22, 30, 332, 49, 9198, 76, 73, 22, 186, 498, 29, 21296, 1082, 20, 8, 17, 22, 25, 624, 25, 154, 13248, 4597, 20, 8, 77, 4591, 20, 10, 2063, 979, 24794, 195, 129, 11, 2294, 7, 2122, 137, 80, 2840, 21, 4526, 22, 13513, 35, 20, 8, 85, 4348, 324, 10391, 20, 8, 59, 3279, 104, 1069, 617, 475, 7, 22122, 125, 454, 3368, 137, 13, 85, 619, 11, 18779, 20, 8, 16686, 11, 13, 563, 20, 8, 13591, 11, 82, 19, 16183, 11, 7, 6704, 20, 8, 22954, 11, 82, 54, 22, 20, 3, 252, 391, 424, 2819, 5322, 2760, 2129, 19, 4404, 11, 17, 22, 10528, 20, 8, 29738, 14, 59, 515, 617, 475, 17, 22, 4225, 20, 8, 8635, 17, 22, 130, 29, 1254, 17, 22, 99, 6638, 13, 2157, 20, 8, 7, 16072, 4986, 14, 15, 22, 2560, 1181, 433, 12928, 20, 8, 20, 10383, 11212, 21, 348, 15, 22, 1453, 19, 31887, 11, 18652, 11, 9105, 11, 160, 18, 14279, 11, 4707, 54, 22, 20, 11732, 559, 37, 907, 19, 14438, 13, 19, 3939, 20, 10, 146, 371, 576, 50, 1625, 57, 28, 85, 16495, 11, 7, 41, 267, 9956, 23451, 11, 11624, 20, 10, 2063, 20, 858, 1144, 21848, 72, 13, 85, 30442, 111, 72, 1486, 1050, 8810, 11, 20, 8, 46, 19, 31447, 2425, 7, 4348, 20, 8, 19, 1056, 16700, 11, 1335, 13, 19, 30449, 11, 20, 8, 613, 5791, 11, 1081, 9569, 17, 22, 20506, 1159, 4360, 11, 4343, 11, 82, 29, 612, 20, 10, 171, 130, 49, 9116, 10332, 26445, 21, 406, 1905, 20, 8, 197, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 55, 424, 102, 15, 22, 29, 13, 15, 22, 277, 203, 885, 117, 168, 41, 7, 136, 14, 3786, 13, 71, 139, 1241, 11, 813, 87, 281, 27, 113, 22, 1551, 29, 3056, 160, 71, 235, 1885, 8601, 13, 54, 22, 56, 3055, 27, 44, 187, 29, 4234, 27, 113, 22, 38, 567, 15, 22, 185, 23, 2480, 203, 50, 139, 22893, 337, 39, 45, 182, 24, 182, 1291, 1291, 424, 102, 33, 16, 513, 815, 424, 102, 30, 23, 272, 27, 48, 611, 14453, 74, 1291, 71, 235, 14453, 13, 30, 23, 272, 27, 90, 576, 74, 238, 576, 2047, 38, 102, 305, 74, 238, 576, 2047, 238, 576, 30, 8968, 1291, 13, 130, 2047, 424, 102, 28, 19, 10822, 11, 17, 22, 303, 424, 102, 41, 45, 182, 5296, 1006, 627, 24701, 11, 12775, 13, 21, 41, 7, 203, 130, 38, 29, 3578, 2795, 373, 424, 102, 160, 130, 885, 85, 1182, 23, 309, 275, 130, 657, 13, 208, 130, 30, 8968, 130, 54, 22, 6937, 466, 17, 22, 303, 77, 7229, 23, 309, 36, 415, 130, 38, 84, 25, 472, 32, 84, 25165, 25, 1231, 394, 7, 85, 18325, 130, 50, 2047, 39, 16, 1229, 208, 27, 16, 1229, 69, 22, 30, 16, 194, 144, 2124, 7279, 130, 1065, 2010, 16, 1747, 17, 22, 303, 144, 69, 22, 30, 16, 41, 658, 26, 18, 18, 883, 13, 26, 18, 303, 906, 102, 87, 130, 5515, 7, 18, 2010, 16, 16, 1229, 12775, 27, 110, 29, 3181, 7, 7640, 424, 102, 107, 112, 1529, 97, 10799, 29, 1846, 23, 15743, 7, 191, 1687, 14, 396, 24, 310, 144, 69, 22, 30, 498, 617, 475, 17, 22, 645, 26, 740, 100, 651, 20, 3, 12, 391, 2144, 13, 27, 238, 1843, 16, 1229, 56, 219, 51, 22, 130, 54, 22, 6937, 7, 85, 303, 14, 130, 13, 27, 69, 22, 30, 29, 475, 424, 102, 5096, 208, 203, 1263, 82, 203, 13, 7229, 23, 309, 71, 1814, 27, 424, 102, 21608, 16, 191, 4438, 1065, 99, 877, 25, 344, 154, 82, 222, 512, 203, 49, 20527, 2124, 37, 37, 10680, 13, 14, 424, 102, 14, 12, 395, 7, 10150, 19, 19, 1627, 11211, 45, 4478, 3836, 87, 148, 29, 475, 424, 102, 37, 595, 7, 740, 56, 30, 112, 2148, 7, 97, 12, 5376, 69, 22, 30, 16, 692, 19, 1745, 880, 11, 466, 424, 102, 33, 16, 28, 18, 12196, 10526, 11, 82, 12, 2835, 30, 23, 272, 27, 48, 23, 549, 48, 4313, 481, 93, 316, 14, 29, 2168, 169, 880, 74, 424, 102, 2168, 880, 69, 22, 30, 23, 167, 23, 1504, 1132, 21, 424, 102, 99, 4178, 46, 1987, 22, 25, 74, 45, 627, 169, 169, 29, 2168, 32, 424, 102, 32, 21328, 424, 102, 121, 18, 581, 7, 90, 4053, 38, 102, 1291, 48, 16576, 48, 2182, 745, 33, 16, 513, 16858, 74, 110, 16, 721, 54, 22, 14816, 1291, 1291, 6585, 373, 56, 109, 38, 25, 56, 109, 38, 25, 6514, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 160, 18, 6269, 54, 22, 7398, 111, 417, 14, 15, 22, 2841, 51, 22, 37, 23, 1603, 7, 1789, 1902, 6739, 11, 34, 11350, 26051, 2294, 1889, 13, 19, 11350, 7, 5202, 654, 20, 19252, 5418, 137, 374, 1889, 96, 850, 7, 2262, 96, 31, 16, 850, 7, 2262, 26, 29, 2612, 942, 4173, 36, 12, 2883, 23, 12031, 4949, 4022, 7, 12, 1675, 7, 15, 22, 8756, 19, 3801, 12091, 26, 15, 22, 4743, 13, 15, 22, 11372, 20, 8, 21, 436, 6337, 137, 317, 1889, 96, 24372, 8465, 96, 31, 15, 22, 1639, 33, 16, 525, 1275, 26, 12, 4182, 19, 15655, 11, 24, 452, 412, 5399, 20, 10, 978, 1422, 31, 12305, 60, 22, 1467, 7, 12, 655, 3118, 30, 7, 3320, 12, 4182, 13, 15, 22, 2196, 1554, 14, 542, 721, 19, 11350, 7, 5202, 17932, 36, 12, 655, 3118, 20, 8, 3835, 63, 1236, 14954, 24, 283, 1275, 20, 10, 978, 2682, 31, 8079, 17, 22, 1826, 7, 12, 3118, 53, 1084, 17, 22, 1826, 7, 12, 655, 3118, 34, 96, 1084, 7, 12, 3118, 96, 1889, 21328, 12, 572, 7, 15, 22, 19771, 11388, 5137, 36, 18, 9619, 17, 22, 4375, 24, 1046, 20, 8, 17, 22, 4375, 2205, 13, 17, 22, 4375, 24, 1030, 13, 36, 18, 2219, 2727, 31, 67, 16, 4184, 774, 9170, 1046, 172, 18, 9619, 7, 15, 22, 4375, 24, 1046, 280, 22, 14, 59, 324, 17, 22, 20, 24469, 46, 16, 28202, 2846, 9170, 6618, 20, 8, 67, 16, 28202, 2846, 9170, 6618, 280, 22, 14, 59, 324, 17, 22, 20, 24469, 46, 16, 4184, 774, 9170, 1030, 20, 8, 13, 67, 16, 4184, 774, 9170, 1030, 280, 22, 14, 59, 324, 17, 22, 20, 24469, 46, 18, 9619, 17, 22, 4375, 24, 20, 3, 1030, 391, 20, 10, 6768, 1422, 31, 26974, 13, 2196, 19, 11350, 7, 5202, 17932, 36, 12, 3118, 978, 4144, 31, 12852, 7, 15, 22, 1945, 7, 15016, 118, 20, 10, 61, 581, 7, 12, 1609, 20, 8, 1032, 13, 36, 15, 22, 10205, 7, 12, 1609, 20, 8, 20, 10585, 15, 22, 1945, 7, 15016, 20, 8, 1276, 27, 11114, 28, 18, 1927, 14954, 24, 850, 7, 2262, 13, 206, 45, 7, 15, 22, 1639, 7, 1265, 2096, 7, 6337, 20, 8, 26, 12, 4182, 20, 8, 12, 540, 13, 15, 22, 2196, 1554, 19, 11350, 7, 5202, 17932, 36, 12, 655, 3118, 20, 10, 120, 20, 10, 94, 804, 20, 8, 18, 581, 7, 12, 1609, 3078, 17, 22, 770, 41, 7, 13850, 27, 18, 508, 55, 14849, 72, 20, 8, 154, 13897, 45, 267, 944, 14034, 9683, 20, 10, 43, 1215, 17, 22, 508, 2342, 11529, 11, 50, 6493, 99, 23282, 26, 50, 39, 364, 7, 1177, 7, 4182, 13, 7, 540, 45, 26, 21, 23341, 98, 15, 22, 20, 4979, 20, 10, 126, 20, 10, 1641, 15, 22, 1114, 19, 11350, 7, 5202, 17932, 45, 19, 3011, 169, 18326, 20, 8, 45, 19, 3011, 10973, 45, 9022, 72, 1039, 761, 14518, 20, 8, 18, 581, 7, 12, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 13066, 1964, 110, 1437, 20, 10, 178, 12, 13426, 87, 20, 8, 12, 13066, 1964, 20, 10, 178, 12, 13426, 33, 29, 329, 9563, 20, 8, 13, 20, 8, 79, 332, 23, 2800, 20, 8, 18, 3981, 20, 8, 36, 2737, 20, 8, 49, 885, 8056, 21, 4244, 82, 18, 1341, 2078, 14, 15, 22, 2456, 20, 10, 53, 1018, 13572, 7, 1424, 7577, 57, 9835, 31, 773, 3867, 76, 1006, 100, 1206, 2160, 76, 11420, 208, 20, 8, 23506, 1777, 27, 12, 12771, 623, 228, 17466, 20, 8, 13, 27, 16, 1322, 54, 22, 20, 7901, 242, 25, 243, 1201, 14, 543, 18, 11062, 20, 10, 460, 21471, 12202, 20, 10, 460, 1069, 6048, 20, 10, 8691, 186, 703, 268, 20, 10, 517, 3265, 20, 8, 24, 6443, 13, 207, 1948, 20, 8, 13, 121, 117, 20, 8, 20, 7028, 189, 16, 2418, 136, 24, 1010, 20, 8, 7412, 1817, 29, 168, 7, 41, 12, 6008, 13, 54, 22, 21, 5773, 1817, 251, 15, 22, 20, 17186, 20, 10, 70, 186, 14, 14064, 11485, 20, 8, 422, 22, 253, 20, 8, 13, 2898, 18, 654, 4006, 519, 19, 17083, 49, 6960, 3572, 37, 23, 1566, 7, 15, 22, 2813, 20, 10, 13285, 23506, 50, 15, 22, 228, 606, 110, 811, 20, 8, 13, 79, 7, 306, 130, 20, 7203, 57, 51, 22, 56, 2396, 99, 155, 16, 194, 144, 59, 983, 54, 22, 109, 186, 24532, 20, 10, 146, 79, 7, 306, 108, 130, 390, 4835, 16, 413, 14474, 13, 18, 25813, 11034, 14454, 24, 585, 14453, 20, 10, 43, 1322, 20, 27391, 242, 679, 13, 2123, 22034, 18, 13214, 7, 3881, 32, 29428, 14095, 72, 63, 14438, 13, 63, 22403, 7, 13066, 11, 20, 10, 70, 109, 228, 28, 15, 22, 3218, 29, 5201, 20, 8, 82, 37, 2708, 20, 10, 166, 136, 21, 136, 100, 2753, 242, 25, 562, 7, 1448, 37, 703, 20, 10, 146, 20, 3, 23506, 391, 20, 8, 32, 54, 22, 186, 79, 17, 22, 12378, 29085, 35, 7, 12, 4240, 17, 22, 25, 17920, 20, 8, 228, 95, 18920, 35, 36, 1424, 31, 773, 229, 13066, 1964, 30, 14, 64, 20, 10, 14309, 533, 38, 16, 283, 17, 22, 109, 17793, 20, 10, 70, 1058, 27, 71, 4119, 2612, 75, 373, 13, 56, 845, 1115, 87, 1377, 20, 10, 568, 21, 7337, 20, 8, 56, 11825, 1115, 18, 2219, 14089, 16, 1010, 13, 20535, 28, 29, 4340, 1151, 20, 10, 171, 23506, 52, 22, 228, 39, 1191, 7, 2612, 75, 20, 10, 568, 44, 51, 22, 130, 228, 606, 13, 1568, 12, 12, 8951, 1486, 4111, 5099, 20, 8, 13, 130, 52, 22, 8094, 242, 17, 22, 1726, 14, 366, 20, 10, 773, 986, 7030, 918, 338, 82, 29, 20, 18022, 76, 4439, 1424, 21, 5943, 189, 20, 10, 70, 21216, 242, 155, 18, 865, 27, 152, 3743, 2505, 2392, 228, 15, 22, 12001, 7, 335, 14, 85, 1026, 22683, 72, 20, 10, 386, 1246, 110, 23506, 5943, 242, 20, 10, 224, 186, 12, 1699, 20, 8, 110, 12, 1699, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 8273, 81, 140, 23, 203, 84, 182, 1291, 203, 203, 16, 1241, 41, 8629, 1291, 305, 348, 113, 22, 1551, 39, 1432, 203, 11247, 113, 22, 1551, 230, 7030, 6156, 69, 22, 30, 82, 1589, 953, 424, 102, 64, 100, 84, 100, 84, 781, 100, 84, 203, 305, 6156, 541, 203, 89, 1439, 7487, 37, 4657, 1291, 1291, 69, 22, 30, 15254, 28, 25, 454, 1291, 348, 113, 22, 1551, 39, 368, 113, 23, 1006, 20728, 20728, 12, 208, 109, 38, 373, 1291, 3836, 532, 7538, 30, 23, 272, 27, 48, 10007, 51, 22, 422, 22, 20, 253, 424, 102, 15, 22, 20, 14587, 30, 12399, 35, 108, 87, 45, 182, 87, 45, 82, 188, 74, 1006, 37, 136, 27, 48, 17864, 14, 15, 22, 2456, 74, 38, 102, 27, 69, 22, 30, 23, 167, 23, 1504, 27, 69, 22, 30, 3356, 275, 71, 2730, 450, 348, 113, 22, 1551, 3036, 14, 837, 13, 27, 48, 7229, 406, 765, 50, 21139, 13, 406, 1341, 27836, 11, 1291, 450, 51, 22, 615, 88, 3036, 13, 679, 406, 1341, 23, 1160, 1986, 5023, 408, 236, 408, 236, 6585, 71, 424, 102, 100, 49, 419, 71, 139, 419, 450, 51, 22, 615, 51, 22, 252, 511, 26, 109, 2472, 69, 22, 30, 5293, 13, 365, 16, 22425, 109, 1439, 56, 49, 230, 79, 7, 54, 5468, 23, 701, 64, 71, 1123, 39, 348, 69, 22, 186, 79, 14, 84, 41, 12, 236, 5984, 30, 23, 272, 541, 69, 22, 30, 41, 1012, 424, 102, 365, 208, 252, 88, 1784, 29, 1443, 41, 27, 64, 38, 102, 1291, 74, 20728, 348, 71, 2730, 406, 79, 765, 50, 21139, 332, 32, 88, 689, 1034, 128, 208, 77, 69, 22, 30, 6038, 4027, 130, 38, 1012, 84, 7, 80, 504, 23, 17, 22, 5089, 80, 718, 36, 1483, 77, 48, 611, 16, 20, 3, 16, 7344, 391, 56, 38, 39, 1014, 129, 56, 30, 268, 56, 38, 268, 56, 30, 1760, 332, 365, 16, 7344, 6156, 56, 2736, 39, 48, 14930, 316, 27, 275, 104, 69, 22, 40, 18, 303, 55, 498, 1291, 441, 15693, 13, 48, 424, 102, 275, 48, 17864, 14, 15, 22, 2456, 28, 1375, 650, 30, 23, 272, 27, 48, 17864, 12, 41, 1358, 74, 38, 102, 348, 113, 22, 18080, 29, 547, 29, 547, 1082, 424, 102, 87, 2656, 408, 236, 408, 236, 39, 139, 18415, 75, 527, 27, 110, 100, 139, 5105, 11, 6748, 242, 69, 22, 186, 2434, 110, 100, 139, 20, 7983, 23, 110, 38, 102, 305, 74, 100, 11147, 368, 813, 69, 22, 186, 2434, 38, 102, 1291, 113, 22, 1551, 16603, 348, 19, 38, 102, 1291, 74, 19, 5700, 113, 22, 1551, 16603, 19, 14129, 11, 13, 208, 332, 169, 71, 36, 10804, 71, 208, 332, 69, 22, 186, 7487, 10964, 110, 100, 139, 11147, 368, 813, 26, 140, 22, 3765, 597, 27, 44, 187, 208, 6125, 69, 22, 186, 2434, 38, 102, 305, 74, 71, 140, 22, 7569, 2653, 66, 4141, 38, 102, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 18, 1006, 69, 22, 385, 1081, 79, 197, 12, 134, 186, 28912, 35, 36, 19, 3509, 11, 36, 415, 13, 36, 114, 2794, 7, 3509, 11, 1291, 109, 38, 424, 203, 109, 38, 424, 20, 6181, 23, 17, 22, 712, 275, 104, 19, 14027, 109, 228, 19, 506, 7, 191, 32, 613, 112, 4618, 26, 271, 7, 227, 275, 104, 219, 3819, 408, 236, 408, 236, 11796, 74, 100, 107, 48, 745, 44, 51, 22, 86, 1206, 7, 538, 44, 51, 22, 86, 2522, 7, 538, 16, 429, 24, 815, 13525, 17, 22, 25942, 11, 13, 209, 11796, 74, 408, 236, 408, 236, 6156, 18, 480, 2078, 7, 2883, 128, 275, 104, 615, 1069, 25, 938, 121, 18, 2034, 938, 11, 104, 753, 20948, 121, 18, 121, 18, 121, 18, 2034, 1171, 6156, 69, 22, 40, 16, 2928, 644, 23, 1291, 121, 18, 2034, 1171, 512, 408, 236, 408, 236, 38, 102, 1291, 13, 69, 22, 40, 39, 271, 305, 169, 169, 56, 219, 21, 205, 1191, 7, 97, 16, 1630, 169, 77, 498, 498, 11796, 203, 419, 11796, 100, 1058, 87, 27, 69, 22, 40, 25, 1630, 144, 219, 99, 23366, 35, 77, 1006, 1314, 79, 219, 275, 104, 1481, 14, 80, 145, 3659, 108, 7562, 1291, 1291, 1291, 1291, 1291, 11796, 74, 172, 615, 511, 87, 182, 17, 22, 14172, 48, 1517, 3443, 17, 22, 14172, 74, 615, 8635, 8422, 23, 11, 2137, 557, 7, 191, 71, 69, 23, 48, 1517, 9252, 557, 679, 408, 236, 408, 236, 69, 22, 40, 27, 51, 22, 103, 38, 19, 109, 38, 17, 23, 48, 17593, 117, 287, 117, 287, 121, 18, 2034, 1171, 117, 287, 19348, 121, 18, 2034, 1171, 3758, 25, 194, 7, 7097, 25, 194, 16, 1112, 1294, 36, 22284, 7229, 23, 309, 13, 275, 615, 6338, 37, 913, 20, 3, 913, 391, 938, 1291, 1291, 172, 109, 38, 1525, 287, 7, 191, 311, 287, 7, 7097, 1525, 287, 7, 191, 117, 287, 7, 7097, 408, 236, 408, 236, 332, 325, 9249, 332, 25, 277, 336, 79, 14, 84, 3356, 77, 3758, 2132, 44, 27, 69, 22, 40, 26, 79, 149, 7229, 1291, 69, 22, 40, 69, 22, 40, 172, 18, 3509, 11, 203, 7229, 1291, 1291, 13, 46, 16, 104, 3710, 13, 104, 25, 3710, 32, 38, 95, 25, 154, 5860, 109, 228, 19, 5594, 275, 104, 11479, 125, 963, 408, 236, 408, 236, 19, 5594, 112, 112, 963, 11796, 74, 1291, 13, 38, 23, 79, 7, 104, 208, 71, 791, 27, 79, 203, 17797, 109, 21, 38, 1012, 32, 88, 84, 12, 3509, 119, 326, 671, 107, 23, 179, 203, 107, 23, 179, 48, 3392, 571, 51, 22, 103, 38, 25, 914, 7, 16365, 169, 44, 32, 54, 22, 40, 677, 274, 18, 1255, 7, 210, 203, 38, 95, 29864, 56, 109, 38, 275, 104, 424, 6012, 39, 430, 7, 2533, 13, 203, 69, 22, 40, 408, 236, 408, 236, 1291, 1291, 69, 22, 385, 203, 38, 95, 5240, 5240, 77, 275, 12, 24600, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 9275, 5555, 19, 298, 121, 18, 1112, 11, 26, 2115, 89, 7611, 1291, 208, 16, 1010, 615, 88, 1700, 424, 102, 1700, 424, 102, 384, 1006, 155, 7, 306, 13, 221, 18, 16, 15, 22, 864, 23, 2480, 24, 1112, 615, 88, 424, 102, 3174, 13, 9950, 408, 236, 208, 71, 15184, 29, 2518, 7, 852, 405, 7, 9950, 82, 1961, 3470, 71, 7411, 48, 1881, 207, 672, 25, 154, 41, 9559, 679, 110, 48, 292, 4909, 408, 236, 424, 102, 71, 2730, 51, 22, 86, 1003, 1006, 7, 7, 271, 7, 634, 7, 15, 22, 1463, 169, 77, 100, 1003, 271, 1291, 17, 22, 1463, 7, 54, 22, 22907, 1061, 23, 549, 13, 285, 3798, 1291, 1291, 71, 7411, 48, 1881, 207, 672, 32, 64, 2818, 112, 4171, 424, 102, 30, 23, 272, 27, 48, 445, 36, 415, 19, 12974, 11, 14, 12, 443, 74, 19, 20, 22851, 11, 74, 38, 102, 1291, 18, 1137, 1291, 74, 113, 22, 93, 1551, 100, 21, 38, 197, 29, 20, 22851, 7, 1137, 12974, 11, 2311, 38, 102, 305, 38, 102, 305, 1291, 1291, 1291, 30, 23, 272, 27, 71, 9377, 48, 1282, 2272, 48, 445, 74, 424, 102, 16, 344, 53, 9750, 74, 38, 102, 56, 4082, 27, 48, 445, 18, 53, 9750, 36, 415, 74, 424, 102, 1291, 69, 22, 40, 53, 9750, 1291, 44, 55, 18, 53, 9750, 1291, 20728, 424, 102, 16, 359, 27, 64, 52, 22, 2787, 39, 69, 22, 40, 16, 16, 53, 9750, 22691, 77, 1006, 13, 18, 1137, 8054, 48, 3392, 36, 424, 102, 1291, 74, 172, 14, 424, 102, 14, 1276, 17, 57, 23, 1006, 252, 55, 112, 112, 1137, 1291, 1291, 1291, 69, 22, 40, 203, 1291, 16, 53, 9750, 21, 9210, 13720, 6743, 74, 109, 21, 38, 37, 182, 20, 3, 29, 4320, 391, 19, 1137, 8054, 74, 1291, 252, 55, 112, 112, 1137, 1291, 1291, 1291, 1291, 13, 252, 55, 112, 2311, 69, 22, 40, 203, 1291, 29, 4320, 7, 8054, 13, 208, 424, 102, 113, 22, 105, 19, 53, 9750, 424, 102, 41, 765, 597, 1291, 1291, 1291, 16, 53, 9750, 21, 25, 2660, 36, 415, 74, 408, 236, 1291, 21, 25, 2660, 1291, 48, 445, 19, 19, 20, 22851, 11, 9404, 74, 36, 415, 71, 1123, 39, 53, 9750, 14258, 45, 53, 9750, 424, 102, 56, 109, 38, 25, 53, 9750, 26, 12, 9950, 74, 424, 102, 71, 50, 1323, 39, 48, 335, 203, 71, 50, 1123, 39, 203, 71, 169, 169, 3392, 39, 69, 22, 40, 19, 634, 48, 15, 22, 2110, 39, 208, 153, 424, 102, 169, 71, 15, 22, 105, 39, 169, 203, 71, 15, 22, 105, 39, 1291, 17, 22, 1259, 48, 445, 19, 69, 22, 40, 203, 1291, 13, 48, 48, 18, 1377, 135, 144, 28, 12, 443, 74, 28, 252, 55, 28, 26, 15, 22, 3516, 252, 55, 28, 29, 20, 17282, 1291, 38, 102, 1291, 17, 22, 1259, 77, 7279, 110, 48, 906, 102, 87, 69, 22, 40, 23, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 1090, 212, 142, 11429, 1291, 7133, 27645, 38, 102, 69, 22, 40, 27645, 906, 325, 10097, 3673, 7, 314, 71, 1123, 39, 46, 32, 110, 107, 23, 179, 46, 27645, 264, 77, 56, 258, 99, 14, 12, 6156, 1291, 24785, 389, 6848, 42, 44, 854, 56, 258, 109, 205, 29, 1904, 33, 16, 138, 106, 382, 1090, 32, 258, 49, 97, 14, 15, 22, 589, 1090, 389, 347, 42, 906, 614, 7, 12, 2364, 1291, 402, 2074, 333, 1291, 402, 2074, 333, 69, 22, 40, 39, 373, 169, 69, 22, 40, 614, 7, 12, 2364, 20728, 71, 71, 791, 527, 27, 4232, 332, 71, 1123, 32, 69, 22, 40, 373, 1291, 38, 102, 1291, 1291, 6156, 71, 717, 601, 12, 1004, 389, 42, 12, 7962, 130, 657, 207, 2650, 33, 203, 17, 22, 1259, 6156, 601, 23, 301, 348, 17999, 867, 20, 14986, 20, 14986, 11429, 6087, 906, 1004, 389, 42, 169, 69, 22, 40, 29, 7962, 38, 102, 10515, 20086, 135, 23, 2765, 12786, 402, 8997, 35, 333, 10515, 169, 169, 906, 113, 22, 5851, 326, 906, 113, 22, 105, 29, 1904, 44, 854, 906, 69, 22, 40, 48, 32, 445, 2391, 79, 14, 15, 22, 1198, 1291, 203, 38, 203, 38, 9061, 45, 71, 1123, 100, 38, 95, 9061, 39, 527, 27, 71, 139, 5322, 11, 35, 3233, 757, 110, 110, 69, 22, 40, 87, 614, 7, 12, 2364, 69, 22, 40, 25, 614, 7, 12, 2364, 11796, 1291, 20, 3, 69, 22, 40, 391, 614, 7, 12, 2364, 12, 1904, 13, 906, 6156, 69, 22, 40, 25, 243, 1864, 69, 22, 40, 44, 196, 2906, 1291, 69, 22, 40, 2906, 1291, 1291, 1291, 112, 87, 1497, 271, 12786, 37, 5452, 12786, 37, 5452, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 3649, 7, 3022, 4280, 1169, 679, 29, 197, 277, 370, 20, 8, 32, 220, 64, 11046, 993, 18, 1899, 20, 18388, 323, 11242, 20, 8, 77, 32, 109, 19901, 25, 87, 3356, 1299, 20, 10, 73, 9, 30, 148, 29, 8656, 35, 20, 8, 44, 52, 9, 30, 41, 29, 13753, 35, 7, 20, 22150, 13, 7, 152, 16425, 202, 20, 10, 53, 12718, 576, 160, 64, 2784, 12163, 75, 12, 145, 52, 9, 4562, 324, 14, 15, 9, 756, 346, 137, 130, 52, 9, 30, 324, 7, 12, 438, 19, 641, 17, 9, 1114, 137, 130, 52, 9, 38, 324, 17824, 63, 117, 654, 217, 4881, 519, 89, 379, 13, 16, 599, 7, 12, 134, 137, 130, 38, 6042, 512, 7, 89, 7891, 59, 5584, 20, 8, 7, 13722, 75, 26, 541, 85, 1167, 13, 80, 646, 20, 8, 78, 646, 32, 129, 6990, 427, 7, 12, 2900, 13, 7, 12, 4419, 20, 10, 711, 243, 649, 20, 8, 51, 9, 20, 19405, 242, 29, 16285, 24282, 13, 27, 31148, 29, 11955, 1855, 13, 25, 2589, 20969, 20, 8, 195, 992, 36, 12, 7842, 13, 12, 26658, 20, 8, 38, 4871, 466, 28, 85, 21337, 20, 10, 463, 205, 95, 12, 20826, 17, 9, 25, 1960, 20, 8, 15, 9, 5887, 17, 9, 29, 6361, 20, 8, 15, 9, 25026, 7, 12, 2340, 12, 41, 14156, 7, 15, 9, 3014, 20, 8, 571, 27, 16, 2633, 38, 3631, 20, 8, 130, 38, 95, 37, 23, 200, 4027, 7, 12, 1091, 29810, 20, 8, 130, 54, 9, 30, 24671, 24, 149, 20, 8, 20, 3, 130, 391, 38, 9412, 13, 82, 31636, 156, 18, 4536, 11, 13, 28, 15, 9, 19591, 7, 12, 4419, 18, 8301, 18, 41, 3527, 27, 579, 1932, 371, 846, 556, 14, 29, 16072, 1792, 20, 10, 224, 52, 9, 38, 324, 2866, 7, 411, 28, 15, 9, 756, 20, 8, 13, 64, 32, 122, 13510, 291, 7, 12, 22167, 14, 15, 9, 20, 7028, 20, 8, 110, 64, 12, 10964, 14, 532, 7, 1874, 7, 27560, 2017, 20, 8, 44, 52, 9, 30, 39, 25, 4184, 20, 8, 69, 9, 30, 87, 627, 25, 8780, 27, 64, 6079, 5615, 20, 8, 26, 97, 6114, 156, 85, 3428, 18, 41, 1508, 12, 9256, 7, 12, 576, 37, 12841, 590, 20, 8, 82, 108, 20, 8, 64, 15, 9, 20, 17105, 291, 20, 8, 46, 16, 2544, 13, 15, 9, 14849, 35, 15542, 17, 9, 12691, 14, 78, 12652, 13, 5662, 5414, 1443, 207, 11060, 17, 9, 20, 8091, 20801, 13, 332, 20168, 72, 20, 10, 455, 1009, 7, 3022, 4280, 29048, 16, 164, 401, 322, 2083, 20, 8, 28, 25, 2102, 2452, 27090, 24, 24972, 20, 8, 32, 609, 14, 609, 4313, 481, 4118, 14, 4843, 16, 5312, 20, 8, 14, 17104, 7989, 20, 8, 230, 16, 892, 26, 85, 9936, 11, 28, 18, 25430, 11, 20, 8, 37, 4414, 7040, 14459, 7118, 7, 19304, 20, 8, 14, 772, 7, 278, 270, 7381, 20, 8, 13, 14, 17, 9, 209, 1618, 9289, 11, 24, 6 ]	[ 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 1138, 119, 4053, 71, 140, 22, 3579, 424, 102, 3129, 2747, 86, 71, 235, 1473, 14, 17203, 28, 16, 3075, 81, 113, 22, 12812, 14, 17203, 71, 2047, 424, 102, 274, 28537, 75, 82, 424, 102, 10227, 372, 46, 25, 1630, 7, 514, 2872, 2864, 406, 883, 424, 102, 183, 983, 30, 30025, 20, 18365, 6268, 238, 1138, 119, 4053, 208, 14, 348, 71, 140, 22, 3579, 278, 21121, 13103, 21949, 113, 22, 105, 4519, 23, 12207, 128, 71, 235, 3730, 14, 17203, 183, 983, 30, 7094, 238, 1138, 30, 14, 12, 1957, 130, 38, 9541, 13, 12168, 128, 71, 235, 3056, 113, 22, 105, 71, 235, 4135, 113, 22, 105, 689, 303, 71, 140, 22, 3579, 5053, 21766, 71, 2047, 424, 102, 28, 29, 4091, 759, 7, 17, 22, 12763, 82, 14674, 71, 235, 1473, 14, 28, 29, 841, 14, 532, 17, 22, 12763, 14, 53, 10693, 424, 102, 288, 23, 20891, 1644, 113, 22, 105, 2883, 23, 13345, 128, 406, 883, 55, 29768, 11, 305, 208, 424, 102, 100, 220, 71, 1306, 48, 1881, 19, 672, 17, 22, 3894, 71, 1553, 19, 672, 512, 14, 29, 370, 208, 48, 1860, 316, 424, 102, 82, 48, 2182, 77, 48, 1517, 1726, 14, 50, 39, 368, 745, 830, 527, 51, 22, 434, 125, 100, 50, 1103, 39, 8267, 46, 16, 1690, 208, 424, 102, 17, 22, 785, 71, 48, 419, 110, 48, 48, 31196, 135, 14, 17203, 74, 1291, 69, 23, 69, 22, 40, 600, 12994, 18156, 25, 154, 15941, 1314, 79, 39, 29, 304, 32, 30, 32, 30, 112, 2276, 11796, 74, 324, 7, 518, 27011, 26, 18, 480, 634, 82, 203, 69, 22, 40, 600, 600, 12971, 11796, 74, 14, 1435, 557, 79, 30, 6149, 28, 12, 304, 1291, 1291, 69, 22, 40, 127, 1130, 71, 791, 14, 12, 39, 39, 430, 17, 22, 2561, 1308, 57, 3873, 424, 102, 12, 304, 38, 84, 19, 2810, 7, 20, 3, 863, 391, 77, 21, 6516, 130, 50, 84, 366, 21, 920, 19, 480, 349, 56, 109, 38, 29, 2811, 112, 26641, 2811, 424, 102, 32, 50, 2751, 2665, 39, 14, 12, 2668, 7, 480, 32, 11428, 679, 14, 17203, 46, 18, 6184, 424, 102, 169, 69, 22, 40, 39, 203, 50, 2751, 39, 24, 79, 1291, 348, 71, 235, 2256, 17, 22, 1259, 46, 203, 13, 30, 23, 272, 51, 22, 103, 38, 17, 22, 561, 19, 1341, 424, 102, 1341, 424, 102, 1661, 1043, 17769, 48, 445, 26631, 23, 421, 23, 204, 3017, 5723, 531, 2939, 53, 10693, 23, 3213, 23, 20891, 1644, 252, 88, 19, 13575, 182, 645, 27, 12, 304, 13, 252, 6338, 14, 97, 19, 19, 10604, 7, 119, 153, 26631, 220, 97, 29, 2811, 36, 415, 69, 22, 40, 275, 104, 424, 102, 19, 634, 424, 102, 27, 28, 29, 329, 304, 7, 3001, 3001, 2919, 1262, 679, 271, 7, 2921, 108, 1291, 20728, 1291, 18, 22838, 2181, 113, 22, 105, 1568, 27, 203, 38, 18005, 143, 112, 1604, 26, 39, 271, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 27, 424, 102, 21, 384, 109, 38, 109, 38, 19, 900, 7, 865, 424, 102, 406, 16038, 38, 102, 1291, 112, 18179, 32, 32, 50, 670, 39, 99, 1529, 8611, 2984, 81, 9032, 21, 1645, 169, 21, 340, 13, 56, 139, 714, 51, 22, 86, 220, 24175, 19, 900, 7, 865, 1645, 13, 365, 4245, 23, 24092, 556, 52, 22, 40, 23, 272, 39, 74, 69, 22, 40, 203, 1291, 1291, 1291, 1291, 1006, 12786, 28, 1375, 650, 17864, 23, 309, 16, 41, 813, 14, 15, 22, 827, 74, 38, 102, 348, 113, 22, 22972, 400, 16, 384, 113, 22, 22972, 39, 18, 7145, 384, 16, 384, 1291, 113, 22, 1250, 39, 18, 7145, 11796, 74, 1291, 1291, 450, 51, 22, 86, 84, 26, 13, 30, 23, 272, 27, 2654, 23, 8441, 48, 445, 617, 475, 26, 3247, 33, 48, 28, 90, 2766, 69, 22, 40, 23, 167, 23, 1504, 74, 20728, 6156, 113, 22, 105, 195, 25, 344, 22401, 3295, 113, 22, 105, 195, 44, 20728, 1291, 203, 1291, 74, 22401, 3295, 71, 13, 15, 22, 8458, 46, 1007, 48, 27004, 21, 553, 69, 22, 40, 597, 74, 69, 22, 40, 25, 25, 19213, 20, 18244, 424, 102, 19213, 1291, 19213, 1291, 19213, 19213, 20, 18244, 54, 1901, 23, 19213, 14, 21, 4700, 74, 113, 22, 93, 1551, 1291, 113, 22, 93, 1551, 71, 4757, 203, 17, 22, 712, 1291, 71, 4757, 3247, 46, 25, 19213, 14, 21, 4700, 11796, 74, 27, 25, 19213, 14, 20, 18244, 113, 22, 10330, 39, 112, 87, 208, 71, 1814, 27, 113, 22, 10330, 148, 19213, 20, 18244, 69, 22, 40, 5729, 1291, 275, 104, 1291, 169, 77, 113, 22, 1250, 39, 271, 77, 69, 22, 40, 27282, 1291, 69, 22, 40, 658, 1291, 69, 22, 40, 658, 69, 22, 40, 27282, 69, 22, 40, 658, 1291, 1291, 208, 14, 12, 306, 7, 3734, 4853, 445, 23, 309, 28559, 26, 12, 261, 168, 25, 19213, 14, 8254, 74, 69, 22, 40, 23, 167, 23, 1504, 14, 919, 2563, 74, 110, 48, 425, 21, 553, 20, 3, 69, 22, 40, 391, 69, 22, 40, 25, 2943, 45, 261, 14170, 25, 19213, 21, 4700, 12, 261, 45, 69, 22, 385, 1291, 406, 6649, 128, 597, 12168, 128, 597, 617, 475, 82, 203, 1291, 1291, 74, 77, 71, 140, 22, 93, 235, 2590, 3985, 188, 2590, 305, 13, 275, 30, 23, 272, 27, 48, 445, 902, 26, 12, 636, 168, 74, 69, 22, 40, 23, 167, 23, 1504, 44, 1010, 44, 1010, 1291, 1291, 74, 113, 22, 105, 84, 117, 2807, 305, 44, 1010, 305, 2124, 9250, 48, 38, 23, 48, 17593, 487, 17, 22, 5433, 28, 90, 191, 188, 7, 48, 14843, 12786, 74, 38, 102, 1291, 119, 831, 1291, 1291, 87, 890, 26, 97, 3734, 6145, 7, 634, 208, 74, 71, 1123, 39, 424, 102, 26, 97, 3734, 6145, 7, 424, 102, 28, 183, 191, 48, 139, 10682, 74, 1291, 1291, 1291, 203, 109, 228, 109, 228, 39, 430, 7, 634, 109, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 764, 7, 11627, 20, 8, 208, 137, 41, 7, 5121, 7, 25431, 125, 20, 10, 60, 22, 15542, 12, 41, 14656, 35, 20, 8, 12, 1574, 12, 41, 17058, 15612, 52, 22, 88, 324, 9112, 17, 22, 3121, 183, 1127, 20, 8, 139, 22884, 14, 543, 7, 1408, 9556, 20, 8, 7, 2077, 8686, 11, 20, 8, 27, 197, 5584, 32, 52, 22, 860, 39, 424, 16, 1956, 129, 67, 549, 26, 19721, 23383, 95, 8123, 7930, 8811, 20, 10, 65, 152, 20, 10, 1135, 1974, 57, 87, 12, 886, 20, 8, 77, 56, 54, 8920, 4702, 28215, 28, 12, 8160, 7, 2693, 3911, 276, 3967, 13, 20, 25415, 38, 9890, 25, 1748, 51, 22, 130, 109, 3947, 20, 10, 224, 1777, 19, 13331, 8105, 33, 12, 8753, 20, 10, 3859, 586, 4285, 11, 13, 9640, 921, 20, 8, 252, 15, 22, 21, 6019, 15714, 111, 14, 5145, 7276, 18, 1732, 11, 31867, 72, 20, 10, 73, 22, 30, 21, 886, 20, 8, 14, 12, 737, 24, 317, 423, 51, 22, 20, 25415, 30398, 16, 31982, 3199, 32, 2736, 31, 47, 463, 205, 11487, 769, 33, 15, 22, 267, 14123, 888, 7, 127, 632, 18955, 35, 32, 10980, 15, 22, 14590, 21, 64, 33, 15, 22, 2589, 7, 483, 20, 8, 139, 3061, 189, 1523, 17, 22, 20, 26258, 14, 12, 2064, 27, 12, 2703, 16102, 218, 18029, 14, 114, 27250, 11, 139, 22498, 337, 14, 17, 22, 22773, 8469, 6429, 11, 2816, 579, 20, 8, 28, 15, 22, 20, 12440, 17, 22, 29, 5584, 32, 14692, 35, 7, 4566, 7163, 14, 59, 20969, 2745, 20, 8, 113, 22, 1551, 635, 422, 22, 253, 15, 22, 3199, 31982, 20, 8, 46, 15, 22, 1391, 7, 59, 288, 23, 5792, 20, 8, 7, 50, 41, 371, 15684, 78, 632, 18955, 35, 20, 8, 20, 27871, 20, 8, 14, 12, 13353, 104, 12, 41, 5624, 20, 8, 24, 310, 27, 71, 16, 26, 4774, 1386, 20, 10, 73, 22, 30, 671, 20, 8, 54, 22, 56, 8545, 14, 127, 2936, 14983, 7, 20, 3, 139, 391, 11046, 148, 37, 907, 19, 15947, 11, 20, 8, 71, 10844, 262, 194, 16, 13125, 7, 406, 41, 14107, 11, 11624, 20, 8, 7, 9074, 51, 22, 252, 50, 139, 26035, 111, 24, 24982, 31982, 13, 5316, 27, 71, 4119, 7, 11068, 20, 10, 794, 579, 20, 8, 36, 12, 800, 7, 90, 11888, 23, 3213, 20, 8, 29595, 135, 44, 24982, 28, 183, 649, 20, 10, 787, 12, 800, 7, 90, 11888, 139, 5365, 35, 20, 8, 139, 1029, 323, 20, 8, 51, 22, 130, 139, 1377, 17, 22, 2549, 371, 27, 48, 611, 183, 79, 137, 13, 27, 20, 8, 119, 25, 649, 3478, 20, 8, 5527, 20, 8, 23761, 125, 20, 8, 23366, 14, 90, 9512, 1340, 20, 8, 71, 50, 26, 4774, 3830, 28, 90, 5280, 20, 10, 20, 3, 579, 20, 8, 2257, 135, 33, 348, 20, 8, 26, 15, 22, 2560, 7, 1580, 23, 8847, 20, 10, 65, 43, 213, 423, 20, 8, 18, 9619, 17, 22, 3844, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 45, 74, 6156, 203, 486, 23, 203, 3031, 110, 110, 71, 235, 21, 1192, 110, 113, 22, 105, 19, 865, 23, 26057, 592, 14, 97, 71, 4582, 424, 102, 378, 110, 71, 45, 208, 110, 113, 22, 14046, 617, 475, 14, 12, 2659, 32, 140, 22, 5288, 424, 102, 71, 2405, 108, 71, 4582, 33, 406, 1924, 33, 406, 1938, 5979, 45, 33, 183, 12974, 408, 236, 26, 19, 1555, 26, 424, 102, 19, 199, 7229, 2930, 854, 109, 228, 16, 9765, 73, 21809, 248, 69, 22, 385, 112, 2148, 906, 102, 87, 109, 228, 29, 6503, 6356, 332, 687, 7, 687, 7, 8722, 13, 113, 22, 105, 11930, 16, 5692, 7, 29458, 79, 203, 1006, 153, 424, 102, 48, 15, 22, 2110, 11930, 2930, 854, 208, 74, 1291, 408, 236, 408, 236, 13, 30, 23, 272, 27, 48, 445, 48, 52, 22, 2110, 39, 7, 48, 3392, 679, 100, 100, 4959, 19, 20, 22851, 11, 424, 102, 7917, 11, 1006, 48, 52, 22, 2110, 39, 203, 74, 44, 965, 7, 169, 74, 169, 169, 51, 22, 40, 23, 272, 27, 48, 21, 4389, 74, 48, 445, 4281, 769, 25, 154, 169, 74, 71, 791, 27, 113, 22, 105, 39, 16, 136, 7, 18, 837, 1291, 74, 69, 22, 40, 466, 203, 71, 1743, 39, 97, 368, 97, 7, 634, 13, 365, 208, 679, 2326, 71, 1306, 71, 1306, 39, 424, 102, 108, 1012, 27, 275, 113, 22, 1579, 41, 585, 208, 424, 102, 113, 23, 71, 52, 22, 105, 10972, 13276, 23, 13435, 125, 39, 16, 136, 7, 7, 837, 113, 22, 105, 25, 10516, 7, 1260, 7, 44, 532, 23, 240, 48, 2209, 314, 906, 102, 6156, 109, 21, 38, 19, 311, 17982, 39, 18, 311, 17982, 77, 1006, 109, 21, 38, 29, 409, 250, 7229, 74, 79, 203, 69, 22, 40, 7041, 7, 1260, 140, 102, 45, 102, 332, 332, 1291, 109, 20, 3, 21, 391, 38, 7229, 74, 906, 102, 6156, 113, 22, 105, 39, 16, 136, 7, 837, 408, 236, 408, 236, 13, 1142, 71, 7411, 87, 18, 837, 77, 113, 22, 1126, 25687, 11, 195, 368, 7, 634, 14, 12, 168, 1291, 1291, 208, 275, 71, 9377, 41, 97, 7, 4034, 332, 26, 23, 71, 9377, 837, 30, 23, 272, 27, 48, 22682, 25, 465, 36, 415, 33, 16, 15, 22, 481, 17, 22, 5433, 45, 15, 22, 481, 7, 745, 45, 19, 1260, 7, 44, 965, 23, 1268, 74, 169, 169, 74, 169, 39, 5354, 48, 10007, 27, 69, 22, 40, 69, 22, 40, 2458, 82, 965, 7, 1260, 45, 87, 74, 38, 102, 2590, 27, 69, 22, 40, 2458, 1291, 74, 1291, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 18, 14, 646, 7, 222, 45, 87, 69, 22, 40, 424, 102, 16, 5739, 135, 27, 18, 18, 479, 422, 22, 253, 54, 22, 17986, 14, 1695, 7, 634, 27, 1291, 28, 16, 136, 1291, 20728, 1291, 100, 54, 22, 5288, 14, 348, 275, 71, 2730, 406, 883, 13, 79, 203, 100, 54, 22, 5288, 14, 271, 41, 7, 634, 27, 28, 16, 136, 1291, 38, 102, 1291, 104, 104, 21, 50, 8122, 274, 1061, 17, 22, 785, 100, 30, 7019, 100, 30, 7019, 38, 102, 1291, 38, 102, 1291, 1291, 48, 140, 22, 2110, 230, 27, 48, 17864, 424, 102, 9340, 1964, 24, 6514, 1291, 74, 48, 425, 21, 745, 25, 344, 154, 7, 90, 191, 74, 7, 1006, 7, 6514, 527, 27, 69, 22, 40, 424, 102, 1291, 906, 102, 87, 121, 18, 128, 64, 5412, 19, 5244, 64, 5412, 19, 5244, 424, 102, 7, 136, 21, 136, 408, 236, 408, 236, 13, 121, 18, 128, 64, 2784, 37, 5726, 14, 210, 1291, 32, 7497, 424, 102, 221, 18, 18, 534, 11, 7, 221, 18, 7, 197, 12, 134, 1291, 7, 2241, 7, 3771, 1291, 424, 102, 7, 3746, 424, 102, 77, 44, 6514, 19, 12775, 19, 5350, 948, 23, 19, 18005, 341, 4175, 424, 102, 32, 54, 23, 1006, 32, 55, 424, 102, 14, 89, 281, 45, 87, 424, 102, 30, 23, 272, 27, 38, 102, 424, 102, 14, 89, 281, 14, 89, 281, 1291, 221, 14, 89, 281, 1291, 1291, 1291, 1291, 1291, 55, 55, 221, 424, 102, 221, 19, 19, 18005, 341, 4175, 19, 14086, 72, 597, 69, 22, 40, 203, 19, 19, 14086, 72, 1291, 14086, 72, 1291, 69, 22, 40, 203, 1291, 19, 14086, 72, 1291, 13, 3820, 55, 18, 18, 1051, 1006, 2007, 27, 20, 3, 27, 391, 48, 16492, 135, 74, 906, 102, 87, 18, 1051, 2007, 55, 18, 1051, 7, 15, 22, 2466, 14, 15, 22, 1198, 2548, 1291, 424, 102, 18, 1051, 7, 15, 22, 3643, 408, 236, 408, 236, 18, 1051, 7, 24, 19, 6077, 11, 203, 55, 19, 1137, 1051, 527, 27, 48, 7229, 56, 109, 38, 28, 12, 9950, 109, 38, 6014, 7, 191, 1376, 13, 417, 27, 16, 599, 50, 49, 196, 39, 494, 28, 12, 622, 27, 12, 576, 18005, 341, 1964, 32, 2047, 274, 130, 32, 38, 19, 303, 1065, 1824, 1824, 7, 12, 458, 723, 7, 59, 2711, 906, 102, 87, 16, 194, 144, 78, 475, 23, 1268, 895, 296, 109, 768, 41, 7, 191, 1376, 527, 27, 12, 952, 23, 3392, 100, 52, 22, 57, 39, 7, 1137, 5594, 100, 38, 12, 576, 32, 2047, 14, 12, 443, 13, 32, 38, 19, 303, 32, 30, 20767, 7, 54, 22, 6895, 7, 59, 4945, 13, 32, 84, 79, 50, 107, 39, 205, 25, 3710, 24, 28124, 203, 69, 22, 40, 39, 414, 208, 100, 64, 100, 64, 3712, 26234, 35, 121, 18, 2155, 208, 109, 21, 38, 6014, 32, 5064, 37, 1376, 26, 379, 1456, 3470, 114, 2155, 1291, 56, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 12775, 25, 1961, 36, 415, 74, 38, 102, 169, 69, 22, 40, 39, 203, 84, 39, 250, 17, 22, 68, 169, 69, 22, 40, 148, 1097, 21615, 169, 69, 22, 40, 14674, 203, 84, 1097, 1353, 1961, 1097, 1353, 69, 22, 40, 12, 1097, 1353, 1961, 7, 17, 22, 2601, 108, 153, 1097, 1353, 1097, 1353, 32, 88, 275, 104, 19, 6899, 46, 18, 3081, 21615, 11, 408, 236, 25, 1954, 36, 415, 74, 1097, 1353, 1097, 1353, 38, 102, 1291, 4931, 74, 1097, 1353, 12, 1097, 1353, 1097, 1353, 208, 28, 12, 28, 12, 16789, 48, 12661, 945, 424, 102, 18, 4672, 18, 4672, 1291, 13, 18, 8120, 48, 18, 1097, 135, 28, 12, 1097, 1353, 74, 1291, 1097, 1353, 1291, 13, 30, 23, 272, 27, 69, 22, 40, 19, 41, 69, 22, 40, 41, 1172, 26, 12, 1097, 1353, 17, 22, 561, 19, 2725, 46, 12, 16789, 27, 26, 12, 1097, 10866, 17, 22, 561, 19, 2725, 46, 12, 1097, 1353, 74, 13, 12, 1097, 1353, 130, 38, 38, 19, 10237, 11, 1006, 19, 2725, 28, 18, 117, 454, 130, 21, 38, 46, 12, 16789, 77, 130, 30, 20767, 17, 22, 93, 205, 108, 46, 12, 1097, 10866, 18, 3325, 36, 415, 252, 55, 87, 16058, 424, 102, 17, 22, 561, 19, 2725, 46, 12, 1097, 10866, 18, 7695, 108, 18, 5686, 466, 14, 17203, 56, 895, 29, 11991, 282, 424, 102, 160, 18, 5686, 424, 102, 54, 22, 18169, 111, 466, 33, 15, 22, 1463, 7, 12, 1097, 10866, 208, 7, 36, 114, 6899, 56, 109, 38, 1006, 7, 36, 114, 1291, 109, 38, 19, 6899, 122, 18, 3081, 275, 100, 230, 6057, 23, 344, 15941, 36, 415, 26, 48, 51, 22, 40, 23, 272, 27, 203, 657, 335, 74, 344, 15941, 20728, 20, 3, 203, 391, 69, 22, 40, 69, 22, 40, 15, 22, 1216, 21, 6516, 32, 281, 41, 27, 16, 84, 17, 22, 179, 344, 15941, 27, 25, 25, 4203, 16099, 23, 25, 5935, 25, 1954, 107, 99, 424, 102, 344, 15941, 15, 22, 1216, 69, 22, 40, 597, 25, 48, 425, 8804, 25, 154, 74, 21608, 13, 17, 22, 179, 424, 102, 15941, 69, 22, 40, 424, 102, 17, 22, 179, 466, 424, 102, 7, 79, 97, 26, 205, 59, 1925, 815, 1006, 13, 365, 16, 110, 93, 13, 10038, 49, 97, 29, 198, 39, 368, 2822, 37, 1322, 26, 851, 14, 12, 3386, 15818, 3117, 203, 203, 84, 26, 8538, 29, 3386, 8538, 424, 102, 29, 547, 443, 424, 102, 203, 69, 22, 40, 15, 22, 1216, 344, 15941, 14, 52, 23, 14, 127, 1130, 14, 64, 597, 13, 30, 23, 272, 27, 28, 12, 614, 100, 107, 3819, 424, 102, 12, 1097, 17, 22, 68, 370, 14, 90, 1130, 74, 15, 22, 14108, 84, 39, 16, 21402, 11796, 140, 22, 13162, 203, 424, 102, 203, 12318, 7, 41, 21, 41, 36, 415, 100, 50, 1206, 41, 424, 102, 18, 7467, 1406, 21, 2828, 203, 69, 22, 40, 28, 29, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 11429, 11429, 12786, 906, 113, 22, 1384, 165, 25, 357, 906, 17, 22, 10613, 9915, 28, 16, 413, 17, 22, 58, 3711, 46, 25, 3602, 153, 71, 7411, 205, 7, 12, 7783, 19290, 19290, 867, 16, 700, 69, 22, 40, 51, 22, 263, 11069, 7, 1435, 8380, 127, 7783, 30, 17989, 1291, 71, 1123, 203, 71, 71, 8436, 17, 22, 1259, 208, 71, 1306, 48, 1282, 906, 7, 4224, 22492, 48, 52, 22, 6031, 39, 906, 16218, 35, 169, 169, 11796, 13, 48, 1734, 39, 20593, 69, 22, 40, 25755, 17, 22, 1259, 169, 169, 169, 69, 22, 40, 25755, 17, 22, 1259, 208, 906, 153, 2132, 906, 274, 48, 7306, 25, 154, 158, 1434, 21, 1137, 906, 1291, 25, 154, 77, 71, 1743, 71, 1743, 39, 21, 364, 271, 527, 27, 1291, 69, 22, 40, 9126, 402, 8997, 35, 333, 1291, 1291, 87, 890, 71, 48, 18, 1370, 13, 365, 48, 139, 4830, 11796, 169, 203, 71, 48, 44, 27, 71, 1743, 69, 22, 40, 25, 1091, 19, 18222, 11, 513, 466, 208, 203, 220, 87, 56, 109, 38, 39, 7, 1051, 56, 109, 38, 69, 22, 40, 203, 20, 3, 16, 513, 391, 1291, 208, 554, 304, 13, 25, 344, 154, 15, 22, 7608, 17, 22, 1259, 96, 446, 328, 1279, 3714, 3825, 92, 56, 109, 38, 16, 1709, 19, 6373, 4917, 13, 16, 1709, 658, 14, 12, 254, 402, 215, 333, 906, 305, 96, 13131, 11, 3876, 891, 911, 8265, 92, 185, 69, 22, 40, 24, 2519, 3478, 11796, 402, 215, 333, 56, 109, 38, 96, 446, 328, 1279, 3714, 14, 12, 786, 92, 203, 69, 22, 40, 7487, 69, 22, 40, 466, 4142, 63, 824, 527, 27, 69, 22, 40, 19, 25, 7707, 4810, 33, 18, 3387, 4427, 402, 215, 333, 5569, 13, 16, 399, 1291, 44, 196, 2148, 13, 365, 12, 4002, 11360, 24, 239, 44, 32, 49, 601, 37, 182, 33, 5569, 39, 2148, 906, 305, 6156, 2132, 6156, 69, 22, 40, 79, 11796, 185, 56, 109, 38, 12, 15969, 96, 211, 2546, 9428, 92, 153, 305, 208, 4232, 135, 906, 203, 56, 109, 38, 597, 10407, 69, 22, 40, 25, 1709, 17, 22, 1832, 33, 12, 304, 153, 44, 51, 22, 86, 107, 548, 28, 12, 304, 18, 7391, 18, 634, 82, 203, 69, 22, 40, 466, 25, 1709, 69, 22, 40, 25, 1709, 3809, 69, 22, 40, 29, 168, 36, 625, 11796, 867, 69, 22, 40, 16, 1220, 689, 13, 71, 1306, 21, 364, 311, 1291, 13, 365, 71, 1306, 364, 4519, 23, 8196, 867, 2132, 4519, 23, 8196, 96, 13131, 11, 3876, 891, 911, 8265, 92, 13, 18, 2475, 169, 39, 4519, 23, 8196, 51, 22, 40, 44, 27, 71, 1743, 335, 906, 4519, 23, 8196, 2475, 13, 311, 82, 203, 2475, 402, 215, 333, 208, 203, 71, 1323, 39, 6156, 203, 203, 71, 1306, 39, 48, 18, 4577, 75, 203, 71, 48, 18, 621, 1289, 48, 445, 16, 283, 17, 22, 1947, 104, 280, 22, 167, 41, 11796, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 6648, 11, 417, 7, 2875, 7, 2832, 417, 7, 4162, 7, 2298, 13, 1291, 13, 15, 22, 25632, 7, 12, 584, 13, 155, 7, 306, 408, 236, 45, 757, 208, 424, 102, 19, 5948, 1291, 16, 3710, 52, 22, 40, 71, 1814, 39, 21, 3115, 424, 102, 7, 424, 102, 7, 12, 1221, 27, 15, 22, 86, 38, 1291, 45, 757, 77, 30, 23, 272, 27, 48, 445, 424, 102, 71, 1123, 39, 450, 203, 54, 22, 3579, 21, 384, 1006, 30, 23, 272, 27, 48, 4776, 135, 29, 2403, 21, 21, 3332, 21, 587, 7, 44, 27, 48, 4959, 316, 74, 424, 102, 87, 69, 22, 40, 23, 167, 23, 1504, 280, 22, 167, 15, 22, 470, 636, 100, 186, 3470, 2099, 3332, 14, 154, 538, 13, 185, 2015, 32, 2123, 14, 154, 1291, 538, 15, 22, 434, 2099, 24, 3710, 1291, 13, 208, 78, 405, 14, 396, 24, 249, 354, 26, 32, 74, 671, 74, 56, 64, 88, 494, 2172, 21, 3332, 38, 102, 305, 74, 1291, 100, 54, 22, 40, 4983, 33, 158, 2380, 7, 15, 22, 470, 636, 100, 38, 12314, 36, 6649, 597, 33, 16, 730, 3152, 27, 15, 22, 86, 38, 84, 18, 13951, 27, 15, 22, 86, 19404, 242, 13, 208, 332, 332, 121, 18, 239, 100, 38, 17, 23, 127, 239, 11660, 408, 236, 208, 325, 1123, 37, 499, 24, 239, 69, 22, 40, 69, 22, 40, 4567, 1291, 208, 424, 102, 15, 22, 470, 1971, 51, 22, 40, 23, 272, 51, 22, 66, 21, 25067, 57, 527, 27, 28, 114, 2353, 23, 1268, 69, 22, 40, 82, 28, 274, 271, 17, 22, 260, 17, 22, 864, 3508, 335, 100, 1976, 7, 1197, 2383, 121, 18, 689, 1010, 11, 45, 757, 208, 14, 262, 168, 56, 109, 38, 25, 1176, 7, 1197, 782, 1206, 203, 14, 80, 478, 13756, 10570, 35, 79, 424, 102, 408, 236, 9618, 13, 155, 7, 306, 332, 100, 651, 7, 598, 33, 2079, 1160, 23, 20, 3, 3248, 391, 56, 109, 38, 117, 1171, 7, 7140, 27, 71, 71, 4119, 7, 2010, 906, 102, 87, 71, 15, 22, 8223, 71, 18, 1551, 39, 23011, 11, 14, 996, 527, 27, 56, 109, 21, 228, 26, 424, 102, 117, 287, 408, 236, 117, 287, 45, 757, 32, 69, 22, 40, 13, 424, 102, 10515, 13, 44, 32, 30, 1081, 41, 5168, 27, 424, 102, 27, 44, 27, 15, 22, 86, 228, 188, 127, 9618, 32, 186, 1934, 14, 12, 697, 1291, 26, 541, 114, 20309, 69, 22, 40, 112, 87, 69, 22, 40, 15, 22, 5931, 69, 22, 40, 16, 3231, 77, 13119, 51, 22, 66, 109, 768, 39, 17, 22, 5787, 11, 527, 51, 22, 519, 18165, 11, 100, 19735, 114, 4767, 208, 110, 371, 56, 109, 38, 19, 4767, 45, 757, 87, 348, 71, 140, 22, 93, 38, 1455, 272, 16143, 527, 27, 238, 6663, 71, 12, 235, 153, 71, 20413, 203, 8273, 39, 408, 236, 208, 332, 2300, 12, 2068, 208, 56, 109, 768, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 8049, 24, 6258, 24, 4305, 20, 10, 61, 1459, 21033, 489, 19253, 20, 8, 54, 22, 56, 109, 38, 312, 20, 10, 978, 896, 20, 10, 43, 3457, 7, 9781, 50, 1103, 20, 8, 28, 726, 136, 20, 8, 99, 12095, 63, 1459, 21033, 32, 50, 15, 22, 4017, 324, 8700, 20, 8, 45, 32, 52, 22, 109, 4017, 39, 95, 19253, 20, 10, 978, 12093, 20, 10, 61, 1933, 11242, 7, 9781, 489, 6928, 33, 18, 16097, 36, 15, 22, 15479, 7, 15, 22, 1114, 3721, 20, 8, 9569, 51, 22, 252, 129, 2996, 95, 3971, 137, 13, 4904, 21, 196, 1934, 21, 5494, 7, 15, 22, 3027, 27683, 20, 10, 6768, 2682, 20, 10, 517, 1752, 20, 10, 5841, 75, 1211, 16, 126, 10518, 2872, 11, 35, 625, 14236, 20, 10, 1164, 8453, 7828, 16, 126, 5208, 1644, 276, 20, 7922, 2880, 20, 10, 978, 18675, 20, 10, 43, 1752, 7, 79, 1173, 1606, 14, 15, 22, 5241, 7, 85, 563, 8582, 20, 8, 30, 37, 312, 144, 56, 38, 59, 1721, 3542, 20, 10, 978, 19706, 20, 10, 43, 1176, 7, 1752, 54, 22, 21227, 57, 36, 16, 84, 17, 22, 29, 10820, 3365, 28, 25, 277, 312, 20, 8, 9365, 14, 15, 22, 8308, 17, 22, 109, 7466, 59, 1721, 3542, 20, 10, 978, 18196, 20, 10, 53, 1715, 7, 15, 22, 8308, 25067, 57, 17, 22, 29, 2279, 15944, 20, 8, 1934, 417, 14, 12, 7627, 24, 312, 27, 15, 22, 100, 3467, 57, 20, 8, 51, 22, 14, 427, 24, 312, 144, 100, 768, 8865, 59, 1752, 20, 10, 978, 14714, 20, 10, 386, 2341, 7, 2279, 15944, 20, 8, 12, 1715, 7, 15, 22, 8308, 24157, 19, 4853, 20, 10, 978, 20547, 20, 10, 43, 4461, 2391, 14, 29, 587, 882, 7167, 45, 484, 11507, 816, 20, 8, 3352, 57, 16, 1752, 51, 22, 56, 228, 5220, 20, 8, 54, 22, 20, 3, 56, 391, 52, 22, 38, 39, 14294, 17, 22, 8308, 1397, 20, 10, 978, 20307, 20, 10, 60, 22, 18176, 7, 2135, 29987, 72, 14, 145, 20, 8, 14590, 57, 1778, 5608, 7152, 24, 1752, 24, 14672, 28, 16, 312, 144, 56, 258, 5689, 114, 2135, 20, 10, 978, 18764, 20, 10, 53, 576, 9416, 52, 22, 38, 324, 17, 22, 277, 1752, 27, 359, 7, 59, 2711, 20, 10, 43, 6946, 169, 20, 24319, 143, 768, 59, 1752, 274, 85, 983, 13, 1138, 45, 18368, 31, 16, 3519, 3965, 768, 16, 110, 93, 274, 59, 11432, 1506, 20, 10, 978, 20602, 20, 10, 61, 6918, 32, 6668, 45, 5064, 8441, 274, 17161, 2996, 16, 104, 1752, 27, 12, 370, 51, 22, 252, 6668, 45, 274, 740, 252, 5064, 20, 8, 1094, 22, 252, 2375, 1064, 46, 130, 28, 12, 104, 443, 20, 10, 978, 8677, 20, 10, 43, 312, 144, 12, 6625, 54, 22, 22606, 20, 8, 196, 9905, 36, 16, 1752, 20, 10, 978, 16807, 20, 10, 4571, 22, 25, 3027, 31865, 20, 8, 7, 12, 331, 19, 1459, 45, 7, 15, 22, 29, 17, 22, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 28, 18, 13314, 7, 1145, 218, 102, 16132, 45, 24, 2452, 29236, 20, 10, 1411, 854, 20, 8, 15, 22, 7059, 236, 6020, 1074, 54, 22, 21, 4228, 242, 21, 4222, 57, 11601, 13, 21, 24172, 19, 28346, 796, 32, 424, 2819, 13282, 18, 1458, 11, 5807, 5808, 20, 8, 26, 851, 2068, 37, 703, 29, 3766, 51, 22, 56, 52, 22, 23383, 39, 13196, 28, 78, 609, 7, 12, 6048, 20, 10, 61, 1305, 24, 13159, 23, 200, 23, 14371, 50, 5477, 10826, 366, 51, 22, 29, 1846, 23, 4273, 135, 4602, 7, 20519, 7, 13648, 20, 8, 19, 1929, 2236, 7911, 7, 13180, 13, 207, 15640, 5970, 7, 19058, 20, 10, 181, 15, 22, 29, 17, 22, 615, 49, 13426, 29, 5542, 5540, 1699, 25117, 35, 7, 3939, 19797, 7, 9321, 7, 4892, 20, 8, 46, 29, 2476, 7, 15286, 5582, 35, 32, 23567, 99, 16, 1801, 7, 15, 22, 1019, 220, 2461, 24, 22168, 20, 10, 626, 16, 3379, 258, 99, 12, 11, 7, 78, 6413, 14, 543, 12, 9432, 20, 8, 12, 9383, 13, 15, 22, 15816, 20, 8, 139, 9477, 67, 165, 14, 12, 706, 1392, 25, 154, 9590, 24, 2452, 3657, 20, 8, 14, 12, 1298, 20, 8, 160, 12, 10787, 21, 3906, 242, 37, 2151, 44, 4854, 12386, 1371, 102, 9033, 9281, 28, 12, 4709, 6917, 24, 173, 2529, 20, 10, 132, 16786, 1448, 15, 143, 17100, 7, 85, 3016, 4540, 12, 6425, 7, 12, 10787, 20, 8, 13, 7, 136, 21, 136, 38, 1151, 11877, 16, 996, 17, 22, 25, 9959, 1873, 7, 511, 35, 26680, 14, 12, 5942, 755, 21332, 20, 8, 13, 80, 1805, 484, 24838, 7536, 3239, 6563, 75, 28, 15, 22, 19591, 29, 13648, 1151, 1360, 9033, 37, 1240, 19, 117, 45, 311, 18689, 11, 17303, 11, 37, 2438, 20, 10, 43, 194, 32, 17026, 337, 36, 16, 1278, 25226, 1378, 280, 22, 37, 5285, 20, 8, 119, 97, 7, 17983, 20, 8, 54, 22, 20506, 1159, 8951, 33, 18, 18310, 21, 20108, 2828, 9033, 11, 13, 20, 3, 2123, 391, 6114, 16, 1448, 41, 19467, 20, 8, 21, 1254, 27, 28, 285, 20, 9033, 2322, 12, 16285, 104, 6990, 21451, 20, 10, 1527, 12, 15016, 24, 22317, 56, 23383, 6446, 28, 12, 3664, 4449, 35, 20, 8, 13, 15, 22, 18526, 23383, 16686, 16, 16124, 20, 10, 60, 22, 2813, 9333, 17559, 57, 3273, 503, 228, 2434, 36, 49, 387, 14, 29239, 75, 20, 8, 13, 16, 9959, 1873, 1929, 2236, 10332, 28, 16, 3184, 82, 29, 370, 38, 11, 916, 5524, 31, 207, 3939, 7, 12781, 20, 8, 26521, 46, 15, 22, 10521, 8035, 20, 8, 20, 6530, 1389, 559, 27, 12, 12110, 10388, 35, 24, 1426, 228, 95, 699, 14, 3904, 26, 44, 20, 13863, 232, 41, 27, 54, 14275, 2567, 20, 10, 132, 2102, 2684, 1376, 20, 8, 16786, 20, 8, 6057, 1308, 82, 25, 3551, 8173, 1204, 17, 22, 2989, 13, 160, 16, 12208, 8466, 12, 8951, 314, 36, 2737, 12, 1320, 2828, 9033, 20, 8, 186, 7149, 33, 59, 1572, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 1165, 291, 6248, 127, 13029, 76, 460, 54, 22, 38, 4779, 1817, 19, 5970, 20, 14998, 11262, 11, 20, 8, 365, 25, 10516, 7, 634, 47, 32, 2146, 107, 23, 179, 2254, 65, 20, 8, 2077, 51, 22, 29, 3912, 14, 1290, 34, 56, 21, 219, 195, 28, 29, 443, 1889, 20, 8, 814, 19, 8111, 11, 20, 8, 29, 2387, 17, 22, 29300, 341, 20, 8, 29, 16279, 21, 173, 51, 22, 252, 50, 7794, 2819, 5765, 20, 8, 25, 28817, 13, 104, 25, 24299, 47, 429, 14660, 23, 18915, 11, 8502, 65, 26, 19, 3091, 7, 1256, 20, 8, 110, 12, 17485, 89, 21, 14116, 20, 10, 70, 50, 560, 39, 430, 20, 8, 169, 41, 34, 217, 100, 50, 107, 39, 195, 1132, 2299, 1889, 20, 8, 17, 22, 205, 207, 1793, 4477, 7, 2527, 20, 8, 13, 252, 21, 1604, 693, 1817, 20, 8, 813, 20, 18665, 11, 592, 668, 7, 326, 110, 909, 465, 186, 498, 47, 25, 465, 7, 3864, 65, 20, 10, 2222, 15882, 20, 15264, 17100, 12, 395, 31, 773, 6204, 76, 64, 52, 22, 14007, 39, 487, 7, 3864, 20, 10, 773, 138, 22, 953, 113, 22, 1551, 12, 18298, 20, 8, 4439, 234, 9000, 4779, 20, 10, 138, 22, 4188, 20, 8, 252, 54, 22, 27539, 559, 20, 10, 2222, 15882, 14590, 242, 85, 6553, 20, 8, 234, 9000, 4779, 80, 329, 1549, 3879, 137, 100, 3452, 242, 993, 19, 23889, 13, 46, 25, 154, 7, 4807, 7, 1298, 44, 560, 87, 6699, 20, 10, 460, 54, 22, 613, 21244, 7, 18017, 79, 222, 20, 8, 77, 89, 2413, 5905, 5837, 20, 10, 3522, 159, 4250, 18, 18671, 4885, 11, 20, 10, 2222, 15882, 20, 8, 32, 21700, 27627, 33, 59, 569, 2074, 1050, 13, 18, 17983, 11, 21, 2299, 26, 400, 18421, 75, 80, 1004, 3868, 12400, 20, 8, 28442, 337, 59, 5822, 7, 22891, 125, 79, 21, 15961, 7192, 17, 22, 25, 3218, 16640, 85, 12630, 23576, 11, 20, 10, 20, 3, 234, 9000, 4779, 391, 20, 8, 8901, 2139, 33, 25, 243, 12005, 3336, 7, 13648, 20, 8, 7414, 11877, 195, 18, 113, 7509, 3170, 7, 80, 1365, 7623, 20, 8, 77, 21, 20, 4350, 351, 3300, 18, 52, 994, 2979, 20, 8, 8776, 14541, 18, 7237, 20, 8, 82, 54, 22, 56, 228, 1329, 7, 10566, 59, 2599, 20, 10, 463, 1435, 23, 12031, 239, 7, 2044, 20, 8, 252, 52, 22, 1069, 366, 1432, 20, 10, 460, 20136, 19, 4034, 28, 121, 18, 8200, 7, 210, 20, 8, 13, 172, 20022, 280, 22, 14, 1266, 504, 7967, 20, 8, 13, 7, 26865, 280, 22, 37, 11087, 20, 10, 460, 14232, 29, 1143, 32, 7671, 87, 12, 1143, 20, 8, 119, 2069, 3394, 14, 25, 151, 17945, 20, 8, 77, 25, 18427, 20, 20292, 143, 18, 1938, 4515, 11, 5229, 20, 10, 460, 7794, 103, 559, 16, 16735, 19, 16702, 13, 390, 4273, 8056, 1142, 12, 9432, 20, 10, 13294, 351, 1515, 252, 49, 13419, 1790, 20, 8, 365, 6820, 7192, 7, 49, 31955, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 13, 2317, 81, 51, 9, 56, 7, 4541, 3868, 10515, 20, 10, 70, 54, 9, 109, 3645, 57, 46, 11288, 20, 10, 224, 16, 49, 7186, 57, 41, 813, 13, 16, 18187, 57, 36, 12, 697, 251, 12, 7962, 13, 18, 303, 20, 8, 26, 51, 9, 56, 49, 140, 7474, 14, 13617, 20, 10, 171, 56, 4508, 8221, 13978, 20, 8, 30442, 20, 8, 13, 17713, 337, 12, 697, 7, 80, 1138, 20, 10, 70, 49, 54, 263, 1696, 1006, 37, 907, 19, 12486, 32, 5943, 559, 20, 10, 70, 54, 9, 21, 3239, 20, 8, 16, 649, 25117, 20, 8, 12, 2413, 21382, 35, 7, 3910, 13, 19, 15445, 11, 51, 9, 56, 228, 10743, 20, 10, 70, 514, 2236, 17100, 7, 50, 39, 1481, 20, 8, 13, 56, 408, 3868, 242, 16, 39, 20, 8, 527, 51, 9, 56, 50, 3929, 39, 14570, 28, 12, 614, 20, 10, 70, 860, 2317, 99, 16056, 20, 8, 26, 49, 12049, 7, 85, 9158, 137, 56, 228, 12, 9304, 10974, 35, 20, 8, 16, 1806, 14, 12, 622, 31, 56, 7577, 242, 20, 10, 1202, 20, 8, 56, 18295, 137, 56, 183, 862, 21, 1942, 16, 145, 66, 17327, 1376, 20, 8, 280, 9, 14, 80, 14106, 11025, 28, 15, 9, 7569, 3781, 1104, 17, 9, 29, 4659, 20, 8, 37, 23, 1566, 24, 6131, 137, 56, 54, 9, 109, 71, 862, 1204, 17, 9, 23009, 137, 13, 44, 603, 25, 30119, 7, 11168, 11, 20, 10, 70, 50, 6717, 39, 37, 618, 671, 56, 11168, 242, 137, 77, 56, 3055, 51, 9, 56, 11168, 3868, 137, 13, 275, 16, 249, 11314, 603, 14, 154, 538, 677, 20, 8, 56, 11168, 57, 148, 20, 8, 527, 51, 9, 56, 3929, 14570, 20, 8, 46, 29, 1254, 7, 11288, 20, 8, 26, 49, 97, 10014, 20, 8, 82, 54, 9, 56, 12144, 7541, 155, 18, 209, 20, 8, 21, 104, 136, 27, 129, 20, 10, 1712, 20, 8, 20, 3, 56, 391, 20, 7203, 57, 27, 59, 983, 3239, 4833, 20, 8, 27, 80, 1138, 5668, 242, 79, 13, 27, 85, 10374, 11, 52, 9, 613, 39, 538, 7, 89, 254, 20, 10, 70, 10301, 81, 7, 10889, 20, 8, 52, 9, 4238, 144, 20, 8, 26, 50, 41, 2334, 371, 20, 10, 7179, 37, 310, 144, 56, 7776, 242, 20, 8, 56, 49, 17572, 57, 14, 59, 983, 32, 29671, 337, 20, 10, 101, 787, 1610, 67, 948, 332, 20, 8, 11943, 74, 144, 10097, 67, 948, 74, 13021, 5278, 1840, 433, 20, 10, 70, 50, 1860, 242, 39, 20, 10, 101, 986, 38, 11, 84, 617, 54, 13556, 11, 35, 20, 10, 874, 9, 30, 67, 272, 27, 325, 38, 11, 84, 74, 3686, 49, 918, 15912, 30643, 125, 20, 10, 101, 874, 9, 30, 67, 272, 27, 325, 38, 11, 84, 74, 21216, 57, 5278, 1840, 433, 20, 10, 448, 921, 67, 948, 1020, 74, 60, 9, 940, 49, 7966, 14, 14570, 20, 8, 13, 5278, 1840, 433, 14, 17827, 20, 8, 7, 41, 21, 41, 6 ]	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 129, 608, 14, 1481, 27, 71, 16, 129, 13140, 36, 29411, 20, 10, 141, 32, 20, 8, 377, 348, 20, 8, 2396, 7042, 16, 6676, 28, 15, 22, 5584, 7, 1303, 2082, 20, 8, 13, 20, 8, 7, 41, 20, 8, 140, 22, 7655, 80, 2655, 20, 10, 171, 20, 8, 15, 22, 185, 23, 2480, 20, 8, 56, 5560, 81, 59, 1867, 37, 5799, 7, 59, 744, 20, 10, 711, 21966, 20, 8, 160, 130, 6717, 18, 8470, 20, 8, 54, 22, 21, 186, 3971, 2172, 14, 130, 24, 2165, 7, 1023, 89, 6522, 20, 10, 171, 80, 1138, 3929, 14, 197, 800, 12, 1092, 20, 10, 1303, 2082, 20, 8, 1006, 20, 8, 21, 129, 6036, 1830, 7, 50, 39, 97, 7, 6507, 11, 20, 8, 228, 2895, 7, 1059, 706, 20, 10, 224, 2396, 20, 8, 44, 194, 67, 1268, 20, 8, 1023, 207, 6553, 26, 89, 1492, 14, 6417, 20, 10, 910, 27, 71, 139, 952, 10240, 7372, 7, 50, 2163, 17, 22, 8612, 834, 45, 4566, 4141, 889, 14, 894, 19, 4357, 7, 1303, 2082, 20, 8, 56, 139, 5560, 81, 97, 25, 6608, 26, 1865, 7, 6353, 33, 16, 8347, 17, 22, 25, 39, 7219, 32, 679, 50, 54, 22, 1639, 242, 41, 46, 16, 2128, 7, 183, 649, 20, 10, 229, 5343, 17, 22, 3121, 1303, 2082, 140, 22, 8297, 81, 82, 29, 31225, 20, 10, 70, 3055, 153, 15, 22, 1131, 14, 1023, 29, 1492, 26, 130, 13, 25, 277, 76, 1712, 20, 8, 113, 22, 122, 1512, 16, 842, 7, 1023, 29, 1492, 26, 1303, 2082, 13, 26, 348, 20, 10, 133, 22, 20, 7028, 757, 110, 1012, 59, 21966, 20, 8, 51, 22, 37, 1141, 17, 22, 25, 5374, 17, 22, 1962, 7, 1263, 20, 8, 100, 140, 22, 860, 7120, 21, 139, 14136, 27, 20, 8, 28, 78, 1492, 20, 8, 25, 277, 6555, 242, 687, 17, 22, 20, 3, 130, 391, 20, 10, 711, 21966, 1809, 242, 16, 1352, 1500, 1162, 504, 20, 10, 43, 2418, 1809, 7, 1303, 2082, 186, 277, 137, 130, 860, 627, 11874, 28, 16, 4616, 20, 10, 70, 139, 5560, 81, 153, 18, 6991, 121, 117, 20, 10, 73, 22, 186, 14, 32, 1149, 242, 16, 41, 1012, 20, 10, 245, 2703, 840, 7, 1303, 2082, 20, 8, 7, 2071, 189, 44, 32, 12, 29610, 20, 8, 56, 139, 3055, 129, 9501, 16, 1397, 20, 8, 32, 50, 139, 31811, 39, 195, 20, 8, 294, 7, 139, 608, 15, 22, 10667, 7, 11912, 14, 85, 2812, 4632, 11, 20, 8, 275, 113, 22, 14161, 757, 25, 12295, 26, 25, 277, 20, 8, 32, 14702, 242, 182, 59, 9886, 20, 10, 224, 2438, 11304, 242, 31, 47, 5591, 32, 3929, 29, 1492, 4006, 20, 10, 65, 237, 22, 5347, 189, 104, 41, 140, 22, 14930, 85, 1541, 8470, 20, 8, 130, 18, 1938, 6244, 242, 14, 59, 21966, 20, 10, 124, 7, 2071, 105, 27, 28, 207, 287, 64, 18, 5892, 5484, 1335, 830, 20, 10, 2487, 71, 50, 4157, 328, 3873, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 48, 22897, 408, 236, 408, 236, 275, 100, 768, 84, 29, 409, 2384, 82, 203, 100, 54, 22, 57, 1455, 272, 504, 296, 51, 22, 86, 38, 5896, 29, 4201, 13, 100, 16569, 21, 3052, 408, 236, 408, 236, 13, 203, 69, 22, 40, 112, 2418, 69, 22, 40, 82, 18, 7327, 7, 15, 22, 1520, 21, 134, 11796, 45, 757, 29, 45, 117, 36, 625, 11796, 3314, 424, 102, 50, 49, 27051, 39, 100, 21, 1385, 29, 277, 13, 365, 69, 22, 40, 25, 514, 3868, 86, 3930, 169, 424, 102, 71, 791, 275, 104, 27, 69, 22, 40, 219, 54, 22, 93, 2915, 14, 12, 2926, 408, 236, 408, 236, 29, 2926, 100, 12, 1058, 45, 100, 12, 1058, 39, 110, 100, 12, 1058, 39, 100, 15, 23, 15, 22, 14776, 45, 757, 2132, 13, 32, 7, 48, 45, 7, 90, 576, 902, 8441, 63, 1167, 7251, 74, 45, 38, 102, 69, 22, 40, 348, 408, 236, 408, 236, 1291, 16, 13, 46, 80, 438, 424, 102, 16, 3056, 7, 12, 443, 69, 22, 40, 348, 13, 28, 12, 438, 7, 90, 576, 108, 74, 38, 102, 169, 424, 102, 63, 1167, 14, 14, 14, 85, 1167, 69, 22, 40, 238, 576, 32, 89, 902, 85, 1167, 2961, 1291, 1291, 1291, 424, 102, 408, 236, 408, 236, 203, 69, 22, 40, 77, 14, 6214, 23, 424, 102, 14, 90, 438, 69, 22, 40, 69, 22, 40, 48, 38, 102, 69, 22, 40, 348, 69, 22, 40, 348, 69, 22, 40, 348, 1291, 1291, 13, 32, 30, 23, 272, 32, 16783, 18, 8950, 10055, 74, 38, 102, 69, 22, 40, 348, 1291, 18, 3939, 17, 22, 15991, 69, 22, 40, 48, 74, 3939, 17, 22, 3643, 424, 102, 3939, 7, 458, 7414, 69, 9699, 424, 102, 79, 79, 203, 69, 22, 40, 79, 348, 203, 69, 22, 40, 13, 30, 23, 272, 51, 22, 66, 109, 38, 29, 578, 671, 14, 740, 48, 48, 18, 12591, 23, 74, 450, 74, 30, 23, 272, 51, 22, 66, 109, 38, 29, 578, 4421, 26, 20, 3, 740, 391, 48, 18, 29952, 74, 906, 102, 87, 527, 27, 71, 791, 27, 113, 22, 105, 1695, 15, 22, 3894, 1291, 1291, 527, 27, 238, 576, 648, 112, 87, 16, 97, 11796, 1291, 1291, 130, 15, 22, 57, 424, 84, 130, 107, 16, 97, 275, 71, 50, 235, 39, 332, 130, 54, 22, 93, 23188, 1115, 112, 87, 77, 424, 102, 130, 30, 1081, 195, 12823, 14, 19, 620, 4945, 75, 11, 424, 102, 113, 22, 105, 107, 23, 179, 1695, 7, 136, 408, 236, 408, 236, 51, 22, 162, 26, 16, 97, 13, 365, 238, 1843, 113, 22, 105, 15, 22, 3894, 1291, 1291, 13, 32, 7, 48, 45, 7, 90, 576, 1897, 12, 1233, 20, 14587, 74, 71, 1814, 27, 203, 49, 2143, 208, 332, 1291, 38, 102, 48, 3392, 13, 12, 41, 727, 12, 41, 727, 7623, 74, 208, 332, 69, 22, 40, 2934, 17, 22, 18197, 71, 50, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 169, 14081, 2294, 14, 15, 22, 23846, 1181, 202, 15706, 72, 74, 1291, 424, 102, 48, 3392, 424, 102, 450, 48, 1031, 23, 1291, 74, 48, 608, 25, 411, 14, 44, 965, 7, 6599, 424, 102, 48, 9851, 135, 27, 12, 1078, 633, 49, 18881, 45, 87, 27, 203, 38, 39, 271, 17, 22, 2140, 74, 20728, 110, 348, 71, 529, 27, 203, 38, 7, 15, 22, 2140, 38, 102, 1291, 1291, 271, 17, 22, 2140, 1291, 74, 1291, 38, 102, 1291, 1291, 110, 408, 236, 408, 236, 13, 51, 22, 40, 23, 272, 51, 22, 86, 107, 97, 176, 203, 14, 90, 1130, 74, 20728, 6156, 69, 22, 40, 466, 18, 883, 687, 19, 303, 18, 883, 408, 236, 1291, 527, 27, 424, 102, 48, 3392, 424, 102, 100, 230, 100, 885, 195, 203, 33, 16, 692, 7, 15, 22, 27694, 38, 102, 15, 22, 27694, 56, 21, 84, 56, 56, 84, 80, 1097, 56, 52, 22, 93, 84, 14, 56, 38, 59, 692, 77, 14, 12, 443, 12, 443, 348, 71, 529, 38, 102, 17, 22, 1259, 27, 69, 22, 40, 69, 22, 40, 11238, 424, 102, 18, 18, 15, 22, 4811, 7, 12, 443, 424, 102, 44, 27, 18, 303, 20, 16397, 44, 27, 18, 303, 5901, 424, 102, 38, 102, 1291, 38, 102, 1291, 38, 102, 1291, 69, 22, 40, 11238, 19, 168, 19, 168, 203, 89, 2751, 39, 195, 77, 252, 109, 2053, 13, 527, 27, 252, 2037, 39, 99, 6442, 11, 77, 252, 109, 2053, 4600, 252, 109, 2053, 13, 71, 529, 27, 69, 22, 40, 466, 203, 12, 1291, 74, 69, 22, 40, 15, 22, 4811, 3659, 38, 102, 1291, 1291, 30, 23, 272, 27, 48, 4389, 51, 22, 86, 1065, 25763, 18, 18, 3573, 18, 54, 24099, 2058, 14, 12, 1742, 14, 12, 2659, 424, 102, 14, 745, 424, 102, 25, 384, 18098, 14, 20, 3, 90, 1130, 391, 348, 71, 1814, 51, 22, 256, 54, 22, 103, 2804, 361, 275, 104, 600, 87, 252, 54, 22, 103, 2804, 361, 1291, 13, 365, 208, 1291, 69, 22, 40, 203, 7229, 113, 22, 105, 606, 51, 22, 66, 109, 228, 29, 6350, 3470, 71, 12, 1140, 757, 29, 6350, 17, 22, 20, 14587, 38, 102, 305, 14, 12, 2659, 74, 1291, 109, 38, 29, 6350, 14, 12, 2659, 29, 6350, 17, 22, 14587, 32, 38, 312, 424, 102, 28, 12, 1507, 82, 203, 13, 208, 424, 102, 13, 104, 16, 424, 102, 71, 50, 1123, 39, 110, 71, 15, 22, 105, 39, 518, 25, 913, 45, 25, 938, 1010, 208, 32, 48, 16629, 18, 865, 208, 252, 48, 3753, 19, 11821, 11, 13, 365, 208, 252, 20, 26574, 19, 607, 28, 12, 614, 38, 102, 305, 113, 22, 105, 606, 38, 102, 305, 27, 203, 49, 11798, 28, 12, 614, 78, 6350, 23, 1268, 13, 27, 252, 885, 8056, 29, 4213, 33, 25, 2525, 13, 27, 252, 14361, 559, 29, 370, 26, 335, 10010, 424, 102, 424, 102, 48, 655, 135, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 271, 14, 1006, 37, 25842, 1291, 100, 15, 22, 57, 527, 23, 798, 100, 52, 22, 4745, 39, 5487, 7, 1368, 7, 2659, 77, 183, 2711, 14, 25, 29, 417, 35, 424, 102, 32, 9711, 242, 14994, 1291, 32, 18313, 271, 183, 2711, 13, 78, 417, 35, 130, 18313, 271, 1222, 527, 27, 69, 22, 385, 25, 5251, 32, 22022, 208, 424, 102, 130, 64, 38, 901, 59, 1368, 38, 102, 1291, 7, 2659, 208, 424, 102, 64, 15, 22, 2787, 424, 37, 239, 7, 420, 424, 102, 15, 22, 470, 636, 408, 236, 408, 236, 77, 275, 56, 38, 5560, 12, 97, 3595, 13, 27, 100, 64, 38, 230, 9252, 2919, 6267, 26, 16, 97, 3595, 9252, 2919, 6267, 41, 424, 102, 117, 2919, 6267, 7, 7, 7, 7, 7, 17893, 38, 102, 1291, 208, 100, 38, 230, 169, 69, 22, 40, 39, 414, 113, 22, 105, 230, 69, 22, 40, 39, 414, 208, 33, 114, 122, 7263, 72, 183, 2711, 14, 1432, 16, 16, 424, 102, 54, 22, 40, 6454, 27, 56, 228, 25, 18552, 32, 228, 25, 1166, 32, 22022, 28, 16, 114, 634, 23, 1268, 208, 100, 38, 95, 129, 1282, 13, 238, 1843, 100, 424, 102, 56, 64, 15, 22, 57, 4405, 26, 2099, 330, 1291, 1291, 208, 332, 203, 3239, 1291, 203, 3239, 208, 100, 15, 22, 57, 424, 26, 18, 3612, 7, 1424, 119, 203, 119, 203, 100, 52, 22, 93, 860, 2590, 39, 424, 527, 27, 69, 22, 385, 39, 414, 169, 69, 22, 385, 39, 414, 1291, 26, 424, 102, 195, 46, 78, 756, 7, 7, 4723, 32, 1291, 87, 890, 18, 1196, 13, 365, 208, 424, 102, 48, 7229, 424, 102, 1222, 424, 102, 1006, 69, 22, 40, 39, 527, 27, 69, 22, 40, 16, 1166, 7, 12, 443, 77, 69, 22, 40, 56, 30, 112, 1057, 4723, 20, 3, 56, 391, 30, 243, 11416, 112, 16166, 1291, 13, 208, 424, 102, 4086, 78, 585, 1082, 424, 102, 130, 30, 130, 2566, 87, 1222, 77, 130, 30, 112, 9512, 77, 69, 22, 40, 29, 277, 537, 27, 12, 9885, 1291, 69, 22, 40, 29, 20, 1178, 57, 23, 69, 22, 40, 29, 537, 19, 654, 23, 15219, 19, 3052, 23, 6278, 11, 23, 15219, 16, 1192, 186, 268, 33, 18, 22094, 109, 228, 6446, 51, 22, 167, 16, 97, 11269, 69, 22, 40, 203, 1291, 1291, 1291, 208, 12, 4135, 30, 30, 15123, 13, 25, 3069, 7, 1460, 23, 167, 23, 18636, 32, 1263, 112, 87, 275, 16, 6561, 186, 332, 56, 2123, 16, 16, 1137, 13, 16, 1846, 1137, 77, 679, 130, 84, 41, 27, 59, 3069, 77, 252, 88, 79, 25, 30281, 7, 2353, 38, 102, 1291, 252, 88, 25, 20, 10658, 23, 29, 443, 46, 2034, 2707, 130, 38, 1034, 14331, 130, 38, 29, 443, 14, 9164, 29, 443, 14, 3224, 208, 48, 3392, 18, 6599, 424, 102, 370, 52, 22, 40, 1991, 100, 84, 100, 252, 88, 29, 412, 23, 252, 88, 29, 7240, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 381, 15, 22, 95, 203, 129, 30, 112, 969, 208, 18, 209, 279, 64, 36, 8462, 121, 21, 420, 1289, 18, 1219, 3230, 1170, 148, 7, 396, 21, 420, 13, 365, 18, 303, 36, 8056, 21, 14301, 21, 2651, 424, 102, 7, 1219, 208, 64, 78, 405, 1289, 64, 2784, 23180, 17, 22, 373, 15, 22, 4359, 753, 368, 344, 100, 220, 364, 29, 443, 41, 329, 13, 100, 258, 23180, 37, 239, 7, 476, 208, 100, 38, 230, 78, 405, 424, 102, 417, 11855, 100, 396, 57, 39, 18, 303, 396, 270, 121, 110, 48, 2182, 113, 22, 21, 1551, 117, 32, 14013, 21, 2651, 46, 18, 9913, 18, 54, 11210, 11, 597, 29, 277, 32, 220, 2595, 851, 21, 4288, 527, 51, 22, 130, 38, 84, 29, 424, 102, 4288, 6831, 21, 261, 1078, 153, 130, 396, 57, 25, 239, 21, 4288, 113, 22, 21, 1551, 25, 41, 585, 32, 331, 97, 25, 29, 14301, 7, 1219, 21, 3005, 14, 1616, 4159, 23, 446, 22790, 211, 13, 25, 4723, 32, 331, 97, 25, 2651, 54, 11210, 13, 365, 3630, 100, 6150, 14, 17203, 64, 342, 635, 19, 1219, 21, 401, 63, 5131, 17, 22, 3891, 100, 30, 5274, 21, 401, 208, 78, 405, 100, 100, 38, 230, 6156, 39, 7, 1219, 424, 102, 8505, 597, 26, 79, 16, 149, 21, 104, 136, 100, 220, 20, 27551, 78, 443, 87, 148, 25, 29, 710, 112, 914, 503, 1291, 1291, 1291, 1291, 1291, 203, 6012, 466, 51, 22, 100, 23180, 57, 37, 499, 7, 476, 119, 831, 1291, 110, 17791, 12, 12, 254, 19, 3081, 8332, 110, 48, 17593, 117, 557, 20, 3, 7, 136, 980, 391, 3270, 36, 194, 51, 22, 30, 23, 272, 27, 48, 1916, 2587, 7, 44, 136, 980, 74, 6156, 71, 10844, 11, 107, 23, 179, 1695, 7, 1367, 1291, 7229, 527, 27, 113, 22, 21, 1610, 112, 154, 71, 100, 49, 1929, 5676, 110, 100, 107, 335, 71, 140, 22, 21, 235, 6178, 35, 21, 3783, 37, 2861, 78, 405, 71, 71, 235, 21668, 82, 79, 208, 424, 102, 71, 1814, 27, 71, 10844, 11, 1695, 71, 1123, 39, 24, 8409, 113, 22, 11636, 556, 14, 12, 2811, 54, 22, 56, 109, 228, 19, 18266, 14, 17203, 8139, 11, 71, 1814, 27, 113, 22, 16470, 11, 1695, 38, 102, 1291, 1291, 13, 365, 71, 15, 16470, 11, 1695, 6012, 527, 27, 100, 1439, 14, 50, 39, 205, 16, 136, 7, 837, 271, 38, 102, 1291, 1291, 100, 16569, 107, 23, 179, 332, 23, 1566, 41, 826, 424, 102, 77, 679, 424, 102, 13114, 19, 303, 25, 344, 154, 14, 90, 1130, 51, 22, 30, 23, 272, 51, 22, 100, 1065, 2033, 466, 63, 303, 14, 15, 22, 2456, 74, 6156, 71, 791, 51, 22, 100, 1065, 89, 2033, 424, 102, 1006, 2124, 18, 303, 1291, 14, 919, 2563, 48, 4389, 74, 424, 102, 12, 971, 13, 79, 14, 44, 324, 7, 518, 332, 48, 2182, 335, 169, 74, 424, 102, 52, 22, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 3982, 19, 209, 8949, 7, 15, 22, 7544, 20, 10, 120, 20, 10, 70, 30, 2500, 7, 15, 22, 11547, 7, 15, 22, 7544, 20, 10, 70, 2876, 12, 3072, 2218, 7, 359, 67, 240, 20, 10, 70, 13793, 16, 241, 7, 1650, 3809, 13, 16, 241, 7, 10274, 4123, 2454, 93, 8928, 11, 13, 18, 655, 37, 908, 1970, 185, 3181, 24, 908, 10894, 20, 10, 70, 9681, 18, 3395, 7, 6066, 13, 18, 581, 24, 515, 8706, 20, 8, 19619, 36, 16, 908, 10894, 3835, 14, 15, 22, 570, 318, 5432, 164, 156, 17, 1889, 20, 10, 70, 9681, 18, 581, 24, 815, 5443, 7, 15, 22, 7544, 20, 10, 126, 20, 10, 43, 534, 7, 15, 22, 7544, 30, 1536, 36, 16, 908, 1970, 20, 8, 33, 29, 924, 7, 311, 3119, 3201, 36, 16, 908, 10894, 20, 10, 70, 30, 3158, 26, 311, 128, 20, 10, 711, 3015, 107, 99, 15408, 29, 168, 20, 10, 978, 265, 118, 20, 10, 132, 3056, 553, 38, 11, 6736, 16, 534, 7, 15, 22, 7544, 28, 85, 4041, 17, 22, 2362, 13, 17, 22, 11547, 20, 10, 120, 20, 10, 711, 3015, 13, 12, 928, 7, 359, 67, 240, 55, 12975, 36, 18, 1927, 10985, 18326, 14, 15, 22, 570, 216, 5432, 164, 156, 38, 1889, 20, 10, 126, 20, 10, 43, 3056, 553, 13, 16, 534, 7, 15, 22, 7544, 50, 289, 99, 7, 12, 104, 6441, 20, 8, 2002, 995, 1397, 699, 14, 15, 22, 20, 11089, 36, 16, 908, 1970, 20, 10, 978, 318, 118, 20, 10, 43, 908, 10894, 1897, 29, 3982, 999, 21, 650, 7, 380, 13, 17, 22, 7538, 20, 8, 119, 7941, 19, 1310, 19, 209, 8949, 7, 15, 22, 7544, 20, 10, 70, 30, 17670, 36, 20, 3, 16, 534, 7, 15, 22, 7544, 391, 20, 10, 120, 20, 10, 11817, 581, 24, 908, 10894, 31, 38, 1889, 16, 534, 7, 15, 22, 7544, 137, 1004, 1889, 16, 3056, 553, 7, 15, 22, 7544, 32, 3404, 63, 620, 119, 283, 7, 2045, 137, 69, 1889, 18, 3395, 7, 6066, 137, 17, 1889, 79, 45, 250, 19, 5686, 17138, 14, 15, 22, 7544, 137, 906, 1889, 19, 3071, 19, 209, 581, 24, 515, 8706, 137, 952, 1889, 19, 3071, 19, 2504, 20, 10, 126, 20, 10, 43, 908, 1970, 107, 15119, 14, 1421, 63, 660, 24, 908, 10894, 20, 8, 28, 18, 506, 51, 22, 56, 10230, 20, 8, 19, 5922, 30416, 72, 19, 1161, 26661, 11, 13, 7749, 63, 652, 3691, 7, 12, 145, 722, 20, 8, 723, 13, 2899, 20, 8, 19323, 11, 21, 578, 7, 159, 1310, 20, 10, 161, 20, 10, 61, 1927, 10985, 4754, 14, 15, 22, 570, 216, 5432, 164, 156, 38, 1889, 10230, 111, 31, 38, 1889, 16, 394, 19, 581, 24, 908, 10894, 2465, 18, 3691, 16213, 37, 5432, 120, 156, 17, 1889, 20, 8, 906, 1889, 20, 8, 952, 1889, 155, 27, 18, 3203, 7, 89, 15103, 13, 12, 928, 7, 89, 3015, 137, 1004, 1889, 18, 1236, 7, 1464, 6556, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 78, 21088, 13, 113, 22, 1551, 18707, 12, 104, 13, 12, 117, 23, 8610, 519, 113, 22, 1551, 5487, 29, 117, 23, 8610, 519, 527, 27, 12, 117, 23, 8610, 519, 30, 29, 1070, 32, 895, 172, 424, 102, 71, 1123, 39, 203, 84, 679, 424, 102, 2883, 128, 27, 113, 22, 21, 1551, 424, 311, 275, 113, 22, 18080, 5007, 27, 69, 22, 30, 29, 1070, 32, 50, 140, 22, 38, 371, 901, 17, 22, 28506, 13, 27, 71, 71, 3035, 205, 82, 852, 1070, 26, 12653, 21, 304, 424, 102, 851, 14, 12, 2612, 424, 102, 22744, 19, 14866, 11252, 11, 10407, 617, 475, 32, 32, 50, 139, 621, 726, 3850, 7229, 23, 309, 1291, 69, 22, 30, 39, 1486, 23, 69, 22, 30, 39, 12020, 77, 203, 196, 6012, 112, 658, 38, 102, 3470, 16, 532, 658, 1291, 408, 236, 13, 1006, 48, 445, 3631, 79, 14, 15, 22, 1962, 7, 170, 303, 424, 102, 1291, 30, 23, 272, 51, 22, 252, 55, 14, 15, 22, 2456, 74, 6156, 113, 22, 1551, 2012, 23, 45, 69, 22, 30, 113, 22, 1551, 689, 303, 1291, 15, 22, 15470, 38, 2453, 128, 1834, 1435, 12, 1454, 220, 205, 3148, 128, 37, 239, 7, 476, 130, 38, 153, 2034, 128, 16, 1351, 220, 205, 1525, 128, 37, 239, 7, 397, 13, 16, 363, 38, 6762, 239, 44, 55, 19, 6599, 45, 19, 2078, 74, 208, 56, 109, 38, 15, 22, 38, 6377, 23, 15, 22, 15470, 54, 22, 2416, 1222, 13, 69, 22, 30, 25, 4723, 527, 27, 69, 22, 30, 25, 4729, 32, 107, 99, 31160, 48, 22897, 74, 219, 424, 102, 219, 5452, 12, 1753, 16, 12, 16, 12, 852, 69, 22, 30, 20, 3, 5425, 391, 12, 1351, 16, 1351, 69, 22, 30, 10452, 13, 16, 363, 69, 22, 30, 14483, 208, 21, 18024, 12964, 450, 74, 424, 102, 14483, 14483, 69, 22, 30, 25, 411, 7, 69, 22, 30, 4723, 203, 38, 102, 69, 22, 30, 25, 4723, 74, 69, 22, 30, 4723, 1291, 4723, 148, 29, 168, 100, 1058, 371, 38, 102, 169, 169, 203, 71, 1814, 27, 14483, 50, 107, 39, 54, 22, 24175, 17, 22, 29, 26, 29, 1082, 38, 102, 305, 38, 102, 169, 169, 169, 69, 22, 30, 25, 4729, 69, 22, 30, 25, 4729, 424, 102, 54, 21071, 1291, 32, 30, 71, 1814, 4549, 7103, 20728, 71, 9851, 6087, 3470, 113, 22, 1551, 29, 5887, 9262, 32, 54, 22, 2416, 28551, 74, 69, 22, 30, 59, 4729, 1291, 38, 102, 71, 208, 332, 48, 140, 22, 28201, 617, 475, 113, 22, 20, 15054, 757, 2665, 203, 27, 27, 203, 49, 12967, 108, 63, 2078, 21, 21, 28, 1006, 28, 114, 28, 114, 199, 23, 1268, 527, 27, 69, 22, 30, 25, 4729, 7, 12, 2900, 15003, 14483, 1291, 13, 424, 102, 113, 22, 20, 15054, 757, 27, 203, 49, 12967, 63, 2078, 1006, 28, 25, 173, 37, 182, 19290, 19290, 77, 1006, 203, 54, 22, 30, 901, 69, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 27, 12, 478, 160, 48, 16576, 48, 13, 71, 1123, 39, 348, 38, 102, 110, 19, 71, 2730, 19, 5518, 1291, 36, 415, 424, 102, 113, 22, 105, 332, 71, 1003, 679, 19, 168, 71, 1003, 41, 7329, 17, 22, 58, 532, 13, 408, 236, 408, 236, 17, 22, 1259, 275, 113, 22, 4521, 14, 46, 19, 209, 4512, 71, 235, 7019, 7, 139, 6527, 45, 7, 97, 1726, 14, 19, 4357, 38, 102, 1291, 17, 22, 1259, 19, 168, 113, 22, 105, 113, 23, 71, 6458, 11, 19, 19, 672, 27, 71, 4786, 335, 13, 365, 71, 1091, 39, 527, 27, 71, 140, 22, 12024, 39, 82, 56, 1291, 1291, 82, 12, 370, 27, 113, 22, 105, 21, 488, 7, 348, 17, 22, 1259, 69, 22, 40, 203, 13, 69, 22, 40, 48, 11796, 32, 1976, 135, 14, 44, 310, 23, 1268, 74, 69, 22, 40, 348, 32, 1976, 69, 22, 40, 48, 32, 1976, 135, 7, 69, 22, 40, 348, 32, 32, 390, 81, 23, 32, 390, 5236, 23, 32, 390, 81, 23, 424, 102, 424, 102, 71, 31705, 348, 38, 102, 1291, 69, 22, 40, 203, 1291, 113, 22, 12270, 7, 7, 745, 82, 18, 5009, 23, 28, 82, 82, 15, 22, 434, 74, 745, 82, 82, 54, 23, 12, 370, 32, 30, 21, 488, 48, 7229, 74, 1291, 13, 48, 10007, 27, 18, 5518, 55, 21295, 112, 903, 74, 38, 102, 1291, 36, 415, 275, 71, 16492, 46, 19, 13836, 69, 22, 40, 378, 27, 113, 22, 105, 14, 5170, 46, 19, 13836, 19, 13139, 13, 79, 203, 11796, 113, 22, 105, 39, 430, 7, 1921, 48, 7229, 113, 22, 12270, 37, 499, 77, 185, 185, 37, 1141, 7, 1291, 37, 1141, 7, 1034, 1435, 817, 203, 109, 30, 69, 22, 40, 30, 23, 272, 27, 541, 30, 23, 272, 51, 22, 256, 424, 102, 21677, 5450, 7, 20, 3, 203, 391, 74, 20728, 71, 1123, 39, 11796, 71, 1123, 39, 48, 3392, 39, 113, 22, 105, 371, 169, 371, 140, 23, 71, 139, 235, 371, 6178, 169, 169, 1006, 252, 48, 6007, 275, 104, 1032, 74, 38, 102, 1291, 541, 541, 69, 22, 40, 89, 12001, 7, 745, 82, 203, 1291, 1291, 69, 22, 40, 348, 32, 1610, 25, 6608, 26, 139, 26, 1251, 74, 26, 140, 22, 4495, 26, 139, 1251, 38, 102, 1291, 26, 140, 22, 4495, 46, 541, 87, 87, 1291, 1291, 527, 27, 1291, 527, 27, 275, 71, 16492, 46, 19, 7467, 6156, 13, 275, 71, 1306, 5170, 46, 25, 3975, 113, 22, 12270, 7, 48, 3392, 113, 22, 12270, 7, 4501, 14, 19, 9642, 27, 113, 22, 105, 5853, 27, 14, 154, 538, 32, 55, 400, 27, 17, 22, 260, 17, 22, 1259, 1291, 1291, 1291, 69, 22, 40, 44, 32, 140, 22, 11186, 242, 108, 7, 97, 41, 826, 203, 69, 22, 40, 424, 102, 7, 364, 18, 7467, 32, 6007, 122, 541, 13, 365, 1291, 18, 7467, 13, 18, 13183, 25914, 32, 6007, 37, 3975, 36, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 2177, 130, 52, 22, 57, 41, 16, 2482, 17, 22, 23600, 14, 331, 203, 16, 2960, 23, 2132, 203, 69, 22, 40, 12, 18, 12495, 5038, 1291, 50, 39, 2482, 75, 59, 940, 466, 26, 51, 22, 66, 48, 11352, 39, 41, 826, 45, 102, 69, 22, 40, 12, 282, 2240, 203, 69, 22, 40, 148, 277, 475, 27, 64, 1291, 71, 235, 39, 2256, 8338, 275, 104, 1291, 38, 102, 348, 169, 41, 77, 64, 64, 50, 482, 41, 24, 104, 136, 305, 208, 12786, 51, 22, 40, 23, 272, 32, 84, 27, 18, 303, 24486, 45, 50, 24486, 39, 14, 15, 22, 827, 74, 906, 102, 87, 109, 38, 18, 69, 24021, 11, 44, 51, 22, 86, 2416, 18, 69, 24021, 11, 274, 64, 1291, 48, 7229, 44, 27, 203, 657, 335, 25, 69, 24021, 359, 32, 32, 1058, 79, 79, 7, 306, 1291, 36, 129, 23, 549, 208, 56, 109, 38, 108, 18, 303, 32, 55, 6266, 11, 36, 159, 883, 339, 23, 1268, 24486, 275, 252, 2037, 49, 8860, 14, 159, 883, 38, 102, 1291, 305, 527, 27, 112, 87, 348, 113, 22, 105, 25, 344, 23, 16130, 32, 657, 39, 49, 8860, 14, 80, 1138, 32, 657, 129, 97, 2033, 16, 854, 13, 203, 84, 19, 6330, 11, 56, 38, 27, 2453, 128, 305, 77, 275, 18, 303, 2037, 87, 27, 18, 883, 18, 11476, 208, 339, 23, 1268, 24486, 400, 27, 18, 209, 7229, 13, 238, 1843, 424, 102, 275, 15, 22, 1324, 2047, 275, 104, 169, 1291, 51, 22, 66, 1932, 16, 1809, 24, 191, 54, 22, 66, 30, 31790, 238, 1843, 906, 102, 82, 48, 4830, 424, 102, 1291, 1291, 77, 18, 883, 11476, 271, 15, 22, 1324, 48, 3392, 679, 144, 18, 9091, 7362, 38, 102, 1291, 527, 27, 15, 22, 1520, 49, 84, 49, 84, 13, 110, 20, 3, 15, 22, 1324, 391, 110, 15, 22, 1324, 2947, 29, 9037, 56, 12, 30663, 39, 36, 129, 23, 549, 11796, 110, 18, 883, 511, 1726, 203, 220, 400, 13, 3470, 114, 303, 27, 113, 22, 105, 332, 44, 55, 19, 303, 27, 71, 30663, 21, 41, 21, 41, 7, 15, 22, 827, 52, 22, 40, 23, 272, 39, 44, 55, 19, 303, 27, 71, 30663, 527, 51, 22, 256, 88, 19, 9091, 51, 22, 256, 52, 22, 270, 39, 39, 1568, 72, 36, 29, 1300, 13, 13, 78, 9037, 424, 102, 50, 50, 12, 4042, 371, 36, 541, 23, 549, 71, 1814, 27, 15, 22, 1520, 56, 4082, 27, 16, 2292, 424, 102, 1759, 21, 608, 182, 14, 15, 22, 1324, 77, 54, 22, 2247, 27, 121, 4042, 48, 3392, 203, 69, 22, 40, 39, 148, 69, 22, 40, 107, 23, 179, 274, 48, 48, 445, 19, 3081, 182, 669, 20728, 169, 71, 1814, 39, 466, 28, 18, 1906, 12265, 100, 38, 19, 3081, 7, 9252, 424, 102, 104, 41, 27, 9252, 38, 102, 1291, 82, 274, 64, 1291, 69, 22, 40, 39, 69, 22, 40, 203, 51, 22, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 1344, 1291, 45, 757, 2540, 1010, 906, 102, 71, 1306, 851, 37, 2858, 16, 1010, 113, 22, 105, 867, 113, 22, 105, 112, 154, 7, 136, 82, 325, 1743, 219, 27, 113, 22, 3579, 906, 44, 27, 71, 1323, 717, 27645, 457, 108, 21, 2497, 6156, 45, 757, 28, 25, 249, 136, 219, 27, 113, 22, 3579, 27645, 457, 527, 27, 113, 22, 105, 39, 16, 850, 45, 757, 867, 13, 365, 906, 28, 25, 852, 136, 867, 56, 219, 27, 906, 113, 22, 3579, 906, 183, 10216, 7, 17772, 26, 51, 22, 66, 139, 484, 6306, 450, 387, 21, 820, 16, 2752, 2880, 45, 757, 13, 867, 153, 906, 402, 6966, 333, 183, 5856, 27645, 264, 45, 757, 13, 27645, 565, 1058, 39, 97, 6156, 27645, 565, 56, 30, 39, 332, 867, 27645, 161, 56, 38, 84, 77, 56, 30, 39, 332, 16, 1285, 185, 23, 2480, 1291, 77, 110, 100, 84, 2540, 6156, 110, 2540, 1010, 56, 1103, 97, 13, 6156, 14, 44, 310, 332, 69, 22, 40, 27645, 565, 51, 22, 40, 37, 1942, 7, 867, 6156, 56, 2522, 16, 850, 129, 13, 12, 636, 13, 13, 514, 389, 42, 168, 69, 22, 40, 129, 51, 22, 1271, 7790, 80, 576, 275, 130, 186, 39, 332, 13, 6156, 208, 100, 100, 100, 419, 14, 44, 310, 332, 14, 27645, 565, 100, 5564, 203, 2540, 10972, 389, 202, 42, 13, 11855, 45, 757, 11855, 2540, 110, 110, 325, 325, 325, 38, 11, 25, 700, 6156, 113, 22, 16470, 527, 27, 305, 906, 45, 757, 203, 601, 188, 11796, 332, 867, 332, 332, 56, 109, 38, 19, 8574, 144, 1291, 514, 22, 72, 87, 7019, 7, 26267, 19, 8574, 14, 19, 8574, 108, 402, 6966, 333, 71, 1123, 87, 527, 27, 906, 71, 45, 757, 867, 6156, 45, 757, 1123, 87, 11796, 18, 9502, 69, 22, 40, 867, 20, 3, 25, 298, 391, 325, 1323, 16, 5171, 69, 22, 40, 39, 16, 700, 77, 25, 5865, 16, 8155, 6156, 1291, 77, 25, 1031, 57, 389, 2925, 42, 25, 1031, 57, 389, 2925, 42, 867, 169, 169, 56, 38, 6151, 2139, 56, 30, 1460, 45, 757, 13, 867, 1006, 305, 1291, 1291, 867, 1291, 1291, 867, 13, 466, 27, 305, 27645, 457, 186, 37, 1942, 71, 129, 9249, 230, 51, 22, 93, 254, 7, 583, 56, 109, 228, 19, 2223, 17, 22, 4629, 14, 305, 130, 139, 15, 22, 1271, 230, 56, 109, 38, 39, 7, 1051, 11796, 19290, 77, 305, 130, 84, 39, 130, 30, 5368, 130, 30, 5368, 11796, 305, 6156, 305, 6156, 514, 22, 16742, 305, 110, 129, 56, 107, 39, 348, 71, 16, 10844, 305, 4232, 100, 867, 100, 1206, 285, 185, 23, 2480, 56, 30, 39, 332, 27645, 565, 56, 30, 39, 332, 27, 71, 13821, 25, 358, 389, 2430, 42, 77, 71, 1306, 4737, 27645, 647, 27, 268, 56, 19552, 203, 2132, 33, 16, 525, 7, 2540, 1010, 2132, 2540, 1010, 13, 51, 22, 86, 5430, 203, 13, 71, 1450, 14, 183, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 39, 424, 7, 1364, 113, 22, 105, 424, 4135, 112, 5368, 381, 2034, 128, 46, 25, 2657, 13, 208, 424, 102, 69, 22, 385, 25, 154, 25, 173, 7, 1354, 69, 22, 385, 45, 1165, 183, 191, 1023, 45, 12, 387, 14, 15, 22, 3954, 69, 22, 385, 15, 22, 58, 45, 15, 22, 434, 208, 113, 22, 105, 1536, 424, 102, 7, 12, 2087, 7, 9961, 183, 191, 119, 20, 6181, 23, 119, 597, 113, 22, 917, 19, 1341, 20, 16391, 72, 13, 365, 424, 102, 113, 22, 105, 424, 29, 585, 1082, 32, 38, 95, 20, 16391, 35, 14, 12, 443, 46, 32, 113, 22, 105, 3220, 381, 3148, 128, 13, 32, 140, 22, 57, 100, 54, 22, 40, 5648, 72, 46, 271, 7, 10422, 271, 271, 7, 10422, 13, 24, 399, 130, 130, 30, 9416, 679, 130, 38, 311, 303, 130, 651, 195, 139, 314, 1291, 130, 139, 2377, 23, 130, 651, 140, 23, 24, 399, 195, 139, 314, 408, 236, 119, 831, 27, 12, 443, 52, 22, 385, 39, 368, 2822, 13, 365, 100, 54, 22, 5630, 242, 87, 597, 408, 236, 208, 12, 584, 7, 191, 203, 1896, 906, 102, 87, 424, 102, 110, 48, 2182, 56, 219, 424, 102, 275, 701, 48, 445, 19, 19, 2959, 56, 219, 99, 14, 2453, 557, 14, 59, 191, 13, 365, 208, 424, 102, 424, 102, 54, 22, 27551, 26, 27, 79, 187, 1460, 14, 12, 443, 466, 275, 424, 102, 44, 51, 22, 66, 109, 38, 19, 303, 1291, 424, 102, 27, 18, 303, 13, 16, 2711, 50, 998, 39, 424, 102, 16058, 17, 22, 7500, 208, 424, 102, 87, 890, 219, 275, 104, 203, 84, 275, 104, 424, 102, 79, 21, 753, 14, 12, 443, 29, 145, 600, 3908, 527, 27, 14, 2453, 557, 56, 219, 54, 22, 6895, 19, 20, 3, 19, 2959, 391, 275, 48, 445, 19, 10042, 765, 56, 219, 54, 22, 6895, 19, 10042, 54, 22, 6895, 19, 2959, 7, 79, 69, 22, 40, 25, 69, 22, 40, 275, 104, 600, 11572, 1291, 13, 208, 424, 102, 100, 21387, 16, 191, 1006, 27, 100, 100, 71, 48, 20413, 27, 275, 100, 30, 274, 29, 547, 18005, 341, 1964, 16, 191, 54, 22, 12850, 112, 87, 527, 27, 100, 1058, 27, 424, 102, 16, 12, 2257, 100, 38, 5648, 424, 102, 909, 13, 909, 191, 51, 22, 86, 16, 4181, 16, 2990, 408, 236, 408, 236, 208, 29, 84, 3096, 15, 22, 434, 84, 222, 424, 102, 26, 12, 1392, 424, 102, 1291, 1291, 71, 2730, 21, 1333, 424, 102, 12, 3975, 323, 424, 102, 3174, 10347, 424, 102, 746, 18005, 341, 4175, 562, 361, 13, 24399, 21, 2299, 7, 7, 16, 7, 15, 22, 16391, 35, 45, 504, 23, 10866, 77, 1006, 348, 113, 22, 105, 195, 1432, 51, 22, 66, 186, 809, 424, 102, 14, 15, 22, 16391, 35, 7, 16501, 1032, 46, 130, 69, 22, 40, 23, 167, 23, 1504, 7, 6076, 13, 17, 22, 12048, 19, 1427, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 238, 25679, 20, 8, 2132, 918, 8335, 20, 10, 224, 19318, 57, 82, 26, 139, 97, 326, 51, 22, 130, 228, 275, 104, 24, 18514, 20, 8, 13, 130, 54, 22, 21019, 81, 188, 27, 113, 22, 424, 1699, 635, 16, 136, 7, 8111, 75, 16, 18271, 20, 10, 26217, 10481, 16, 846, 7, 80, 1138, 17, 22, 29, 277, 468, 20, 10, 299, 19620, 35, 33, 80, 547, 5713, 130, 7412, 57, 7, 183, 1801, 14, 750, 21, 10247, 31, 773, 664, 20, 8, 16, 344, 4723, 220, 5551, 197, 12, 514, 1211, 35, 7, 4135, 74, 773, 1373, 20, 10, 773, 146, 51, 22, 30, 67, 272, 51, 22, 56, 7065, 20, 8, 21, 26, 20, 8, 16, 344, 4723, 74, 773, 166, 15, 22, 4654, 20, 10, 224, 22360, 18, 1590, 33, 59, 29879, 8429, 5577, 2467, 31, 773, 664, 20, 8, 4135, 1103, 140, 22, 21, 2457, 25, 2453, 74, 773, 1373, 20, 10, 224, 1486, 15913, 57, 121, 85, 3234, 20, 8, 280, 22, 14, 85, 14653, 2344, 20, 8, 13, 701, 113, 22, 424, 11, 5071, 1291, 26, 262, 475, 20, 8, 130, 49, 7966, 14, 3563, 13, 14, 10799, 13572, 125, 36, 12, 1492, 20, 10, 2195, 623, 14, 59, 640, 23539, 12, 547, 11258, 514, 5849, 59, 25350, 82, 110, 130, 52, 22, 228, 371, 1188, 16, 619, 7, 80, 1138, 20, 10, 1418, 20, 8, 44, 50, 603, 39, 14, 417, 35, 3393, 200, 51, 22, 130, 20, 28588, 85, 5033, 2425, 20, 10, 224, 7966, 33, 183, 3375, 25, 16029, 79, 7487, 14, 359, 27, 113, 22, 9249, 901, 14, 80, 1082, 12, 789, 17, 22, 188, 20, 8, 13, 12, 1018, 79, 13282, 35, 20, 8, 130, 139, 230, 31, 773, 986, 196, 11, 9596, 35, 28, 2220, 303, 20, 8, 2493, 1151, 20, 10, 124, 52, 22, 424, 11, 39, 14, 2764, 110, 1120, 20, 3, 238, 391, 8335, 137, 2195, 623, 15, 22, 8094, 242, 46, 130, 20, 10, 2354, 59, 1548, 1457, 14, 210, 20, 8, 130, 228, 1432, 16, 842, 7, 49, 783, 274, 406, 883, 20, 10, 146, 17, 22, 541, 20, 8, 13, 19, 303, 20, 8, 130, 228, 417, 14, 139, 335, 20, 8, 27, 12, 584, 22360, 79, 3137, 188, 51, 22, 130, 52, 22, 23383, 2434, 20, 10, 146, 110, 20, 8, 28, 18, 287, 32, 1014, 3309, 20, 8, 71, 4416, 757, 14, 2087, 18, 1590, 13878, 11, 156, 238, 622, 20, 8, 44, 52, 22, 186, 41, 26, 10908, 11, 7105, 183, 20, 18225, 20, 8, 69, 22, 186, 26, 50, 39, 139, 31040, 7, 78, 2273, 32, 140, 22, 186, 4240, 13, 32, 139, 2123, 14570, 36, 4383, 1081, 108, 813, 51, 22, 29, 1246, 20, 10, 626, 36, 10557, 20, 8, 18, 4357, 7, 2195, 623, 140, 22, 1069, 15099, 35, 687, 19, 15947, 11, 20, 10, 124, 5043, 10287, 46, 541, 20, 8, 71, 9372, 144, 18, 364, 14, 197, 1962, 20, 8, 13, 41, 366, 7, 44, 32, 49, 11798, 274, 64, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 1291, 117, 234, 13, 25, 60, 1291, 28, 7875, 387, 36, 415, 25, 234, 13, 60, 26, 424, 102, 221, 18, 1677, 7, 1291, 13, 20, 14587, 36, 415, 104, 15, 22, 5433, 424, 102, 729, 299, 273, 729, 278, 169, 71, 50, 235, 39, 4761, 527, 27, 69, 22, 40, 29, 925, 7, 5324, 38, 102, 69, 22, 40, 29, 925, 7, 5324, 13, 365, 424, 102, 12, 5324, 48, 3392, 203, 50, 4967, 14, 366, 21, 6444, 20, 5673, 408, 236, 408, 236, 424, 102, 71, 1814, 275, 104, 51, 22, 66, 219, 54, 22, 93, 697, 23, 49, 54, 22, 93, 697, 23, 49, 2915, 14, 12, 2926, 424, 102, 527, 51, 22, 864, 100, 24421, 296, 48, 22897, 408, 236, 408, 236, 275, 100, 768, 84, 29, 409, 2384, 82, 203, 100, 54, 22, 57, 1455, 272, 504, 296, 51, 22, 86, 38, 5896, 29, 4201, 13, 100, 16569, 21, 3052, 408, 236, 408, 236, 13, 203, 69, 22, 40, 112, 2418, 69, 22, 40, 82, 18, 7327, 7, 15, 22, 1520, 21, 134, 11796, 45, 757, 29, 45, 117, 36, 625, 11796, 3314, 424, 102, 50, 49, 27051, 39, 100, 21, 1385, 29, 277, 13, 365, 69, 22, 40, 25, 514, 3868, 86, 3930, 169, 424, 102, 71, 791, 275, 104, 27, 69, 22, 40, 219, 54, 22, 93, 2915, 14, 12, 2926, 408, 236, 408, 236, 29, 2926, 100, 12, 1058, 45, 100, 12, 1058, 39, 110, 100, 12, 1058, 39, 100, 15, 23, 15, 22, 14776, 45, 757, 2132, 13, 32, 7, 48, 45, 7, 90, 576, 902, 8441, 63, 1167, 7251, 74, 45, 38, 102, 69, 22, 40, 348, 408, 236, 408, 236, 1291, 16, 13, 46, 80, 438, 424, 102, 16, 3056, 7, 12, 443, 69, 22, 40, 348, 13, 28, 12, 438, 7, 90, 576, 108, 74, 38, 102, 169, 424, 102, 63, 1167, 14, 14, 14, 85, 1167, 69, 22, 40, 238, 576, 32, 20, 3, 89, 391, 902, 85, 1167, 2961, 1291, 1291, 1291, 424, 102, 408, 236, 408, 236, 203, 69, 22, 40, 77, 14, 6214, 23, 424, 102, 14, 90, 438, 69, 22, 40, 69, 22, 40, 48, 38, 102, 69, 22, 40, 348, 69, 22, 40, 348, 69, 22, 40, 348, 1291, 1291, 13, 32, 30, 23, 272, 32, 16783, 18, 8950, 10055, 74, 38, 102, 69, 22, 40, 348, 1291, 18, 3939, 17, 22, 15991, 69, 22, 40, 48, 74, 3939, 17, 22, 3643, 424, 102, 3939, 7, 458, 7414, 69, 9699, 424, 102, 79, 79, 203, 69, 22, 40, 79, 348, 203, 69, 22, 40, 13, 30, 23, 272, 51, 22, 66, 109, 38, 29, 578, 671, 14, 740, 48, 48, 18, 12591, 23, 74, 450, 74, 30, 23, 272, 51, 22, 66, 109, 38, 29, 578, 4421, 26, 740, 48, 18, 29952, 74, 906, 102, 87, 527, 27, 71, 791, 27, 113, 22, 105, 1695, 15, 22, 3894, 1291, 1291, 527, 27, 238, 576, 648, 112, 87, 16, 97, 11796, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 230, 148, 21, 134, 69, 22, 40, 12, 12829, 19, 11819, 20728, 498, 74, 44, 52, 22, 40, 39, 148, 9670, 27, 15, 22, 86, 1759, 424, 102, 4100, 114, 303, 21, 134, 69, 22, 40, 39, 148, 20728, 9670, 203, 69, 22, 40, 498, 7736, 69, 22, 40, 969, 14, 2090, 77, 69, 22, 40, 155, 77, 113, 22, 105, 606, 56, 109, 38, 117, 128, 29, 424, 102, 6680, 274, 348, 212, 3180, 8402, 35, 6800, 3321, 1291, 32, 139, 4439, 27, 48, 17864, 41, 21, 4188, 27, 64, 14, 44, 595, 1291, 56, 139, 714, 27, 69, 22, 40, 810, 1291, 130, 139, 4439, 130, 13426, 130, 54, 22, 30699, 13, 13, 130, 139, 4439, 27, 21, 7308, 69, 22, 385, 400, 1014, 400, 84, 1291, 27, 48, 48, 21, 20, 1479, 10436, 2587, 41, 15, 22, 1095, 54, 22, 93, 20, 24101, 41, 1291, 203, 69, 22, 40, 810, 1291, 2059, 27, 64, 69, 22, 40, 25, 154, 15, 22, 1463, 691, 77, 46, 7, 765, 981, 38, 102, 1291, 13, 271, 17, 23, 17, 22, 926, 11, 5704, 32, 54, 22, 26289, 7, 203, 38, 102, 1291, 71, 2730, 69, 22, 40, 39, 148, 424, 102, 15, 22, 1095, 32, 54, 22, 8543, 424, 102, 498, 77, 56, 109, 38, 18, 450, 1306, 23, 1017, 335, 203, 19, 3488, 5244, 7, 883, 679, 32, 49, 7530, 18, 607, 16716, 332, 48, 7229, 36, 415, 424, 102, 26, 18, 303, 12019, 11, 38, 102, 1291, 100, 1385, 25, 11172, 23, 309, 48, 7229, 74, 1291, 77, 26, 18, 12019, 11, 77, 108, 26, 18, 5765, 140, 23, 25, 154, 24611, 1291, 108, 679, 100, 1385, 1291, 21, 340, 69, 22, 40, 15, 22, 848, 32, 49, 661, 111, 7, 44, 965, 7, 17, 22, 1463, 274, 64, 274, 48, 274, 2377, 23, 2132, 1291, 1291, 1291, 1291, 69, 22, 40, 44, 27, 139, 4439, 56, 109, 38, 19, 1906, 9404, 212, 3180, 8402, 35, 1291, 1291, 13, 20, 3, 130, 391, 139, 4439, 27, 64, 6098, 21, 2577, 33, 18, 38, 102, 1291, 1645, 408, 236, 14, 44, 324, 71, 50, 15, 22, 3580, 39, 3440, 275, 104, 69, 22, 40, 810, 424, 102, 1291, 69, 22, 40, 6871, 44, 51, 22, 162, 139, 4439, 139, 2123, 314, 27, 64, 18, 23148, 64, 5412, 271, 77, 64, 50, 482, 39, 6266, 11, 69, 22, 40, 36, 127, 424, 102, 127, 1340, 48, 7229, 74, 13, 27, 48, 1291, 424, 102, 69, 22, 40, 29, 7779, 17, 22, 1095, 1291, 38, 102, 64, 109, 2472, 291, 107, 23, 179, 1291, 2124, 13, 365, 56, 109, 38, 25, 5822, 17, 22, 6698, 1122, 26, 44, 965, 7, 44, 965, 7, 191, 52, 22, 40, 23, 272, 39, 274, 64, 1291, 77, 208, 48, 445, 107, 23, 179, 19, 1906, 424, 102, 144, 100, 469, 114, 303, 1291, 69, 22, 40, 203, 56, 109, 38, 29, 392, 4421, 1291, 527, 27, 71, 48, 1091, 348, 44, 32, 6 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 5, 280, 22, 14, 426, 974, 128, 28, 25, 16147, 20, 10, 244, 53, 3681, 24, 515, 220, 7, 452, 120, 20, 8, 244, 1571, 14, 510, 120, 20, 8, 1751, 1571, 26, 18, 5009, 17165, 11, 7251, 13, 7, 566, 120, 20, 8, 774, 1571, 14, 509, 126, 20, 8, 3064, 1571, 26, 18, 5009, 17165, 11, 7, 22668, 10484, 13, 491, 12, 3681, 7, 12, 8967, 7, 686, 974, 14, 704, 3374, 1738, 20, 10, 694, 53, 2555, 8667, 7, 760, 19450, 14, 350, 2323, 4417, 26, 18, 5009, 17165, 11, 7251, 176, 853, 2323, 14, 2431, 3225, 4417, 26, 18, 5009, 17165, 11, 7, 22668, 10484, 20, 10, 3992, 18, 5009, 17165, 11, 20, 8, 18, 31462, 11, 55, 1702, 41, 654, 13, 41, 9828, 27, 18, 22410, 20, 10, 178, 281, 21, 2593, 398, 2859, 182, 7, 4969, 461, 5009, 17165, 11, 37, 1509, 20, 10, 973, 143, 3911, 2955, 61, 5009, 17165, 11, 55, 188, 79, 24369, 11, 63, 8800, 10860, 13, 9673, 7, 89, 6057, 3627, 20, 10, 2150, 14, 1664, 19, 2419, 7, 2973, 2655, 7, 3647, 1677, 20, 8, 18, 2342, 289, 984, 837, 18, 29732, 2048, 11, 19, 5009, 17165, 11, 82, 3674, 19, 7078, 23, 3568, 2206, 26, 16129, 75, 974, 29, 975, 14, 396, 7, 4134, 6256, 20, 10, 463, 205, 635, 12, 835, 17, 22, 25, 6478, 20, 8, 3340, 18, 2504, 12, 31771, 111, 33, 3447, 25, 3248, 7316, 7, 1892, 3456, 11755, 82, 142, 13158, 35, 157, 5752, 784, 20, 8, 25, 1979, 494, 37, 324, 36, 4568, 4848, 15, 22, 11991, 7, 3026, 15, 22, 70, 1567, 1515, 14, 4453, 11827, 13, 774, 15, 22, 11991, 7, 4989, 6257, 1156, 20, 10, 460, 16147, 125, 814, 33, 16, 16495, 7, 15, 22, 4225, 20, 8, 144, 3216, 262, 20, 3210, 1104, 30, 486, 231, 6962, 35, 21, 4335, 2219, 12082, 11, 7, 19160, 20, 10, 20, 3, 5642, 9324, 20268, 391, 55, 108, 9629, 27, 5301, 18, 10914, 11, 6567, 11, 2909, 20, 10, 9298, 14, 97, 3773, 29, 380, 33, 5227, 12, 536, 7, 5782, 327, 26, 314, 110, 16, 5009, 17165, 30, 6240, 25, 297, 2974, 20, 10, 142, 13158, 35, 157, 5752, 784, 38, 95, 1343, 33, 1304, 4710, 19, 5009, 17165, 11, 7, 22668, 10484, 13, 5379, 19, 5009, 17165, 11, 19, 9297, 11, 20, 10, 6830, 138, 22, 209, 620, 20, 26823, 6120, 12, 2655, 14, 6400, 17, 22, 209, 1619, 82, 6822, 5026, 18, 15, 143, 3086, 8226, 20, 8, 3976, 18, 20, 11206, 2545, 72, 13, 6336, 18, 234, 784, 1515, 20, 10, 5408, 147, 6116, 6627, 419, 110, 16, 5009, 17165, 30, 1371, 14, 29732, 10860, 45, 1376, 14, 29732, 9673, 20, 10, 5800, 229, 395, 38, 10168, 5695, 1751, 7, 669, 13733, 45, 7883, 2634, 30606, 11, 20, 8, 77, 7691, 19, 7764, 41, 2342, 5186, 20, 10, 7254, 2667, 19, 29732, 3374, 61, 1475, 3136, 7, 5009, 17165, 11, 613, 7, 7187, 1287, 5369, 23, 23906, 20, 10, 6526, 61, 4303, 6232, 1702, 20, 6 ]

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

[ 5, 424, 102, 69, 22, 30, 39, 4065, 69, 22, 30, 39, 71, 1123, 39, 69, 22, 40, 104, 14, 9164, 56, 109, 38, 29, 29, 145, 10114, 271, 41, 1357, 527, 51, 22, 56, 109, 38, 271, 41, 17, 22, 1255, 56, 109, 21, 38, 2453, 45, 1435, 2919, 14, 17203, 56, 109, 21, 38, 148, 27, 689, 2919, 13, 13, 365, 69, 22, 30, 12, 145, 4937, 30, 271, 41, 271, 400, 16964, 44, 32, 84, 51, 22, 56, 109, 38, 207, 12232, 13, 365, 56, 109, 38, 19, 10516, 7, 16697, 13, 365, 13, 109, 38, 197, 29, 29, 2928, 23, 197, 29, 1795, 527, 27, 71, 140, 22, 6937, 175, 24, 24, 9997, 7, 9164, 38, 102, 1291, 208, 153, 71, 1306, 14, 9164, 13, 71, 2730, 82, 36, 415, 29, 1795, 32, 30, 21525, 35, 424, 102, 69, 22, 30, 12, 478, 7, 54, 22, 20, 16321, 408, 236, 408, 236, 11796, 100, 1206, 203, 13, 348, 71, 50, 1814, 39, 27, 44, 187, 29, 1795, 7, 981, 2797, 32, 5430, 203, 29, 1795, 7, 1809, 13, 7, 907, 28, 1007, 100, 1777, 424, 102, 36, 415, 14, 210, 69, 22, 30, 39, 26, 335, 27, 121, 18, 1255, 55, 87, 16448, 11, 703, 7, 332, 77, 1006, 100, 1206, 109, 38, 19, 19, 10516, 7, 56, 109, 38, 19, 2078, 32, 55, 12203, 32, 55, 32, 55, 87, 28697, 72, 107, 23, 179, 39, 26, 243, 475, 77, 1006, 32, 32, 511, 19, 2810, 77, 498, 424, 102, 1289, 238, 576, 186, 10114, 14, 20, 3, 17203, 391, 275, 348, 113, 22, 18080, 25, 344, 154, 5007, 21, 254, 12, 254, 17, 22, 1196, 14, 210, 56, 109, 228, 29, 1795, 7893, 14, 17203, 69, 22, 186, 100, 228, 15, 22, 6044, 27, 18, 2078, 1545, 559, 7, 89, 1143, 46, 424, 102, 159, 17576, 11, 424, 102, 39, 238, 1389, 5181, 72, 366, 24, 79, 1006, 275, 100, 30, 14, 1435, 2453, 128, 46, 19, 10868, 33, 12, 2413, 25, 344, 154, 7229, 39, 22219, 11, 13, 14, 9164, 21608, 14, 9164, 69, 22, 30, 122, 18, 117, 1291, 11796, 14, 9164, 109, 38, 203, 49, 9449, 242, 7, 210, 69, 22, 40, 18, 997, 23, 18, 607, 55, 511, 19, 2810, 30, 23, 272, 27, 69, 22, 186, 498, 617, 475, 17, 22, 15716, 14, 17203, 12, 2282, 45, 30, 23, 272, 27, 69, 22, 186, 107, 23, 179, 16, 700, 51, 22, 100, 1347, 28, 221, 18, 6184, 550, 21, 7308, 82, 21, 134, 74, 37, 499, 71, 1814, 27, 69, 22, 30, 69, 22, 30, 25, 3530, 69, 22, 30, 7, 12, 14535, 1291, 38, 102, 1291, 408, 236, 5739, 135, 109, 38, 2590, 203, 3836, 1291, 219, 3819, 51, 22, 66, 109, 38, 6012, 17, 22, 953, 26, 16, 310, 109, 38, 203, 13232, 679, 7, 44, 532, 23, 1268, 110, 48, 2182, 71, 71, 17, 22, 29, 478, 9761, 71, 1610, 39, 5354, 1726, 169, 39, 19, 6 ]

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

[ 5, 2047, 26, 15, 22, 1117, 21295, 77, 18, 303, 55, 195, 2866, 11, 25, 154, 14, 541, 23, 2570, 1291, 71, 52, 23, 408, 236, 56, 109, 38, 19, 13416, 56, 109, 38, 19, 408, 236, 13416, 71, 1814, 1291, 1291, 69, 22, 40, 39, 2124, 110, 69, 22, 40, 29, 395, 7, 12, 2584, 2118, 22, 93, 340, 38, 102, 1291, 69, 22, 40, 39, 7487, 77, 348, 113, 22, 3580, 408, 236, 627, 95, 26, 48, 7229, 527, 27, 71, 529, 27, 12, 576, 50, 258, 39, 1491, 82, 203, 28, 59, 5731, 130, 258, 348, 113, 22, 105, 6464, 23, 3725, 271, 21, 8122, 185, 12, 612, 7, 183, 2711, 38, 102, 1291, 1291, 271, 7, 7, 6899, 2271, 71, 235, 7172, 17, 22, 561, 3220, 1291, 1291, 13, 203, 140, 22, 57, 84, 1406, 7, 348, 23, 549, 2079, 12, 576, 424, 102, 56, 139, 714, 27, 14, 12, 443, 195, 69, 22, 40, 39, 87, 615, 49, 10665, 169, 615, 6673, 1291, 24, 8409, 615, 28, 361, 615, 615, 7799, 111, 89, 2711, 21295, 1291, 69, 22, 40, 29, 145, 25, 154, 69, 22, 40, 39, 7487, 7864, 108, 52, 22, 40, 23, 272, 39, 208, 424, 102, 1291, 417, 27, 18, 303, 55, 765, 71, 791, 27, 12, 1138, 258, 99, 14, 12, 443, 1291, 13, 51, 22, 40, 23, 272, 27, 48, 1517, 7, 90, 136, 980, 12786, 74, 71, 7707, 38, 102, 38, 102, 305, 208, 69, 22, 40, 23, 167, 23, 1504, 16, 16, 854, 74, 45, 424, 102, 16, 54, 23, 20728, 1291, 71, 4582, 12, 2659, 1291, 1291, 275, 69, 22, 40, 87, 275, 71, 2730, 27, 69, 22, 40, 617, 475, 424, 102, 13780, 45, 2321, 408, 236, 69, 22, 40, 3418, 1291, 21, 340, 69, 22, 40, 3418, 274, 64, 274, 48, 108, 74, 1291, 20728, 1291, 1291, 109, 38, 19, 1291, 69, 22, 40, 1959, 424, 102, 20, 3, 12, 852, 2387, 21, 1825, 23, 8384, 391, 1291, 69, 22, 40, 39, 2418, 69, 22, 40, 275, 104, 1291, 1006, 71, 8015, 13, 275, 69, 22, 40, 430, 71, 7707, 1291, 71, 7707, 13, 1291, 113, 22, 1250, 271, 837, 45, 208, 71, 1306, 37, 1652, 45, 38, 102, 305, 71, 1306, 37, 1237, 13, 16, 913, 74, 13, 16, 913, 13, 16, 938, 74, 38, 102, 21608, 16, 80, 23, 48, 1254, 135, 16, 913, 74, 169, 332, 113, 23, 71, 1610, 12, 4795, 274, 348, 38, 102, 1291, 69, 22, 40, 16, 16, 4945, 424, 102, 25, 10516, 7, 634, 27, 113, 22, 105, 2866, 21, 2577, 16, 913, 13, 365, 16, 938, 71, 235, 4861, 208, 71, 1306, 14, 12, 8670, 1291, 261, 125, 13, 113, 22, 105, 19, 5244, 7, 15123, 11, 408, 236, 45, 71, 23268, 406, 303, 1291, 45, 208, 46, 19, 15123, 11, 424, 102, 185, 79, 10761, 527, 27, 64, 54, 23, 64, 2784, 64, 17424, 1291, 314, 18, 15530, 314, 617, 475, 424, 102, 20728, 6 ]

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

[ 5, 129, 228, 230, 19687, 31, 773, 47, 60, 22, 445, 67, 309, 1188, 20, 8, 5935, 74, 65, 146, 16, 5935, 228, 230, 46, 20, 27251, 125, 31, 47, 1252, 20, 8, 169, 20, 8, 69, 22, 30, 29, 573, 26744, 7, 411, 32, 140, 22, 38, 84, 1881, 78, 395, 20, 10, 65, 70, 10481, 7097, 1081, 2718, 20, 8, 77, 21, 8228, 20, 8, 56, 3947, 25, 1799, 14, 2153, 162, 20, 8, 32, 16, 1014, 81, 20, 10, 460, 36, 218, 1817, 15872, 830, 20, 8, 13, 16, 1954, 230, 21, 17117, 111, 12, 585, 1082, 31, 47, 237, 22, 20, 6340, 39, 27, 79, 3031, 7, 48, 20, 8, 2153, 162, 137, 71, 48, 6036, 11, 51, 22, 188, 311, 239, 20, 8, 48, 3935, 12, 576, 24, 10281, 20, 8, 110, 48, 12345, 406, 1163, 137, 13, 348, 113, 22, 4132, 4774, 12, 1082, 24, 6754, 2198, 20, 10, 94, 9641, 406, 2397, 48, 49, 75, 7202, 108, 18, 13868, 11, 20, 10, 65, 2153, 162, 6265, 25, 4841, 13719, 12090, 20, 8, 13, 275, 130, 29671, 274, 130, 20, 8, 85, 979, 27177, 11, 23636, 51, 22, 130, 228, 11168, 143, 20, 10, 224, 228, 14, 1246, 4827, 80, 198, 687, 7, 3173, 20756, 35, 20, 8, 701, 12, 4778, 9641, 35, 21, 1598, 20, 8, 14076, 33, 25, 4296, 20, 8, 12, 786, 24, 10281, 20, 10, 2153, 162, 27177, 81, 110, 21412, 27, 80, 15345, 15, 22, 21, 12994, 57, 20, 10, 773, 47, 73, 22, 30, 16, 10281, 7, 237, 6850, 1042, 20, 8, 230, 2153, 162, 20, 8, 32, 419, 14, 99, 1474, 137, 56, 18316, 378, 65, 20, 8, 12436, 57, 23, 81, 67, 162, 20, 8, 21, 5195, 4285, 18, 979, 20, 8, 82, 110, 130, 23383, 424, 1329, 27, 3173, 20756, 35, 109, 358, 12747, 837, 16, 10932, 51, 22, 130, 2123, 20, 8, 21, 10813, 27, 16, 10281, 6026, 378, 274, 20, 3, 130, 391, 20, 10, 47, 3172, 67, 1268, 20, 8, 12436, 57, 23, 81, 67, 162, 20, 8, 113, 22, 9591, 27, 48, 15, 22, 6807, 316, 225, 14, 646, 7, 348, 20, 10, 65, 773, 47, 124, 7006, 20, 8, 3947, 80, 15345, 20, 8, 46, 25, 3279, 16640, 20, 8, 69, 22, 30, 90, 21966, 225, 65, 146, 2153, 162, 50, 12, 486, 1966, 3012, 57, 39, 137, 130, 4738, 11948, 81, 7, 50, 39, 205, 1568, 20, 8, 13, 49, 16, 1696, 26, 851, 37, 551, 7, 5879, 20, 8, 32, 21, 8621, 20, 10, 224, 673, 57, 3173, 20756, 35, 20, 8, 27, 16, 585, 739, 49, 13005, 57, 2068, 19, 979, 20, 8, 571, 51, 22, 56, 6265, 8583, 16, 5914, 24, 1821, 20, 8, 13, 121, 311, 54, 22, 10177, 12202, 13, 39, 11, 1817, 830, 29, 1962, 7, 4245, 567, 646, 1037, 20, 10, 3173, 20756, 35, 20, 8, 32, 228, 4827, 197, 12, 12363, 7, 59, 2563, 20, 8, 186, 498, 29776, 35, 7, 1855, 20, 8, 701, 5879, 12, 1140, 242, 20, 6 ]

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

[ 5, 144, 56, 30, 1473, 30, 23, 272, 27, 48, 425, 745, 19, 607, 17, 22, 12763, 3470, 74, 1291, 1291, 252, 88, 29, 112, 2822, 10331, 21, 1333, 1291, 100, 64, 2416, 18, 1291, 1006, 48, 425, 18, 8804, 18, 4628, 17, 22, 12763, 25, 154, 74, 100, 64, 2416, 18, 4628, 17, 22, 12763, 100, 64, 2416, 21, 1333, 51, 22, 40, 23, 272, 27, 203, 657, 335, 74, 424, 102, 527, 27, 113, 22, 105, 371, 1754, 3413, 424, 102, 71, 1814, 27, 203, 8158, 424, 102, 110, 203, 8158, 600, 703, 203, 112, 703, 1291, 8158, 14, 12, 710, 7, 12, 22126, 14965, 75, 32, 860, 677, 156, 16, 2888, 33, 25, 19, 12349, 17, 22, 12763, 13, 27, 18, 939, 1308, 57, 3873, 49, 2818, 6042, 11, 14, 1944, 29, 424, 102, 39, 29, 424, 102, 25, 19049, 2590, 1291, 13, 172, 20728, 4020, 23, 66, 27, 64, 482, 18, 4628, 17, 22, 12763, 1291, 20728, 18, 939, 1308, 57, 3873, 55, 600, 4618, 26, 18, 5745, 1291, 77, 373, 15, 22, 2561, 1308, 57, 3873, 30, 275, 104, 600, 2322, 140, 22, 13162, 1291, 56, 30, 39, 1784, 17722, 56, 30, 39, 424, 102, 9150, 2880, 1089, 56, 1377, 85, 5634, 26, 129, 56, 30, 39, 56, 30, 39, 1486, 404, 3017, 7943, 100, 30, 600, 5322, 2760, 2129, 597, 55, 600, 5322, 2760, 2129, 11, 51, 22, 40, 23, 272, 51, 22, 66, 38, 82, 424, 102, 9317, 2007, 74, 6156, 69, 23, 6156, 21, 79, 69, 22, 40, 969, 14, 335, 527, 51, 22, 66, 30, 56, 30, 31634, 77, 1006, 30, 23, 272, 27, 69, 22, 40, 1784, 1784, 100, 107, 39, 335, 25, 2341, 424, 102, 56, 30, 31634, 110, 69, 22, 40, 810, 424, 102, 100, 30, 31634, 64, 18, 939, 1308, 57, 3873, 1291, 21608, 203, 100, 107, 39, 335, 27, 69, 22, 40, 77, 1006, 30, 23, 272, 27, 69, 22, 40, 25, 2341, 74, 71, 791, 39, 28, 20, 3, 746, 1555, 391, 36, 415, 51, 22, 86, 230, 6156, 109, 38, 109, 38, 16, 1057, 3421, 86, 32, 30, 32, 30, 32, 30, 8539, 4630, 11796, 31634, 108, 31634, 1291, 69, 22, 40, 107, 23, 179, 527, 27, 100, 38, 25, 532, 7, 12, 3669, 272, 3470, 424, 102, 1291, 69, 22, 40, 107, 23, 179, 203, 108, 1291, 275, 104, 100, 230, 21, 7337, 19, 19, 1057, 272, 1763, 252, 55, 31634, 11, 13, 1291, 208, 15, 22, 2561, 1308, 57, 3873, 71, 235, 39, 17, 22, 12763, 69, 22, 40, 1006, 110, 100, 845, 16, 203, 2389, 424, 102, 110, 100, 845, 16, 142, 19796, 13912, 56, 38, 39, 24, 79, 12, 104, 15492, 38, 102, 169, 39, 24, 79, 252, 55, 17, 22, 785, 252, 55, 271, 41, 10090, 11, 48, 2209, 274, 541, 252, 55, 39, 275, 48, 16121, 252, 55, 41, 6708, 82, 424, 102, 82, 607, 77, 69, 22, 40, 203, 69, 22, 40, 108, 587, 424, 102, 6 ]

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

[ 5, 18, 9883, 7, 2612, 21, 1546, 886, 19, 1177, 3408, 7, 4182, 13, 7, 540, 20, 8, 32, 84, 250, 15227, 7, 44, 850, 20, 8, 155, 27, 18, 2475, 17, 22, 1588, 3895, 4173, 11, 36, 15, 22, 729, 9444, 28, 16, 413, 24, 850, 7, 2262, 137, 7020, 2255, 1939, 27, 12, 1034, 16792, 4949, 9260, 999, 19, 3801, 12091, 20, 8, 3835, 14, 12, 4215, 106, 206, 15533, 206, 774, 206, 509, 20, 8, 38, 4173, 15, 22, 1639, 63, 3066, 7, 15, 22, 1826, 19, 1927, 7, 12, 3118, 19, 3801, 12091, 33, 16, 283, 7, 12, 886, 24, 180, 428, 8274, 2873, 14, 12, 4182, 13, 14, 12, 540, 19, 11350, 7, 5202, 160, 18, 6269, 54, 22, 7398, 111, 417, 14, 15, 22, 2841, 51, 22, 37, 23, 1603, 19, 1789, 1902, 6739, 11, 34, 11350, 26051, 2294, 1889, 13, 19, 11350, 7, 5202, 654, 20, 19252, 5418, 34, 96, 1639, 7, 1265, 2096, 7, 6337, 96, 1889, 137, 20808, 15, 22, 5445, 7, 12, 2612, 19, 11350, 7, 5202, 654, 20, 19252, 5418, 21, 417, 27, 1247, 17, 22, 4743, 20, 8, 17, 22, 4585, 13, 7, 21552, 1902, 26, 18, 3136, 19, 1459, 13, 16, 84, 27, 18, 1177, 7, 4182, 13, 7, 540, 670, 1020, 14, 114, 871, 13, 364, 21, 8140, 18, 17166, 11, 1902, 13, 1676, 7, 114, 1177, 137, 5863, 189, 281, 7, 12, 537, 13, 19, 3376, 2676, 19, 199, 21, 375, 28, 12, 572, 20, 8, 349, 19, 199, 29508, 11, 20, 8, 294, 17, 22, 2343, 15, 22, 1467, 7, 12, 655, 3118, 137, 507, 27346, 11, 189, 18, 2810, 11616, 11, 13538, 11, 36, 12, 1609, 1184, 13594, 24, 20, 11351, 27081, 20, 8, 18, 807, 13428, 5420, 20, 3, 130, 391, 30, 25785, 20, 8, 155, 27, 15, 22, 5445, 7, 85, 620, 28, 16, 707, 7, 12, 2612, 37, 20, 11351, 28, 15, 22, 1079, 7, 15, 22, 19771, 11388, 137, 20317, 4211, 7, 3452, 2107, 7, 15, 22, 1008, 4333, 14, 12, 334, 21, 869, 7, 12, 3118, 7, 15931, 137, 1419, 23604, 111, 27, 12, 2719, 2108, 8828, 35, 1829, 16, 842, 16, 41, 1496, 17, 22, 2343, 18, 1484, 7, 4182, 13, 17, 22, 2196, 1554, 19, 1106, 11319, 21175, 137, 142, 22, 28625, 14, 3320, 12, 4182, 14, 542, 721, 13, 15, 22, 2196, 1554, 19, 11350, 7, 5202, 17932, 36, 12, 655, 3118, 137, 1592, 12335, 3187, 72, 27, 16, 876, 842, 17, 22, 2343, 18, 1484, 30412, 11, 13, 7, 2749, 12, 1609, 1184, 13594, 24, 20, 11351, 27081, 30, 7, 387, 14, 194, 18, 1927, 7, 12, 3118, 7, 15931, 122, 18, 1085, 23, 743, 17, 22, 4375, 13, 12, 1111, 24, 9545, 18800, 27592, 12, 1609, 1184, 13594, 24, 20, 11351, 27081, 20, 8, 11817, 11729, 72, 7, 44, 32, 2736, 31, 6768, 455, 31, 27947, 11, 3655, 978, 455, 31, 13887, 11, 3617, 3066, 7, 12, 655, 3118, 20, 8, 100, 2753, 36, 31, 118, 1889, 96, 11350, 7, 5202, 17932, 6 ]

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

[ 5, 134, 46, 25, 1173, 137, 56, 1103, 99, 4066, 551, 18, 8619, 7, 134, 20, 8, 26, 18, 3512, 36, 129, 23842, 72, 21, 199, 7638, 2816, 19, 1173, 20, 10, 978, 246, 20, 10, 132, 1173, 1103, 99, 4066, 551, 25, 3449, 7, 134, 20, 8, 26, 19, 3512, 36, 129, 23842, 72, 21, 199, 7638, 20, 8, 104, 46, 25, 7638, 20, 10, 978, 322, 20, 10, 94, 221, 3671, 20, 8, 209, 27, 951, 7, 1379, 20, 8, 15, 22, 7638, 32, 196, 13610, 20, 8, 196, 1656, 7, 608, 10470, 26, 16, 1537, 19, 797, 13, 4154, 23, 10251, 8266, 24, 3289, 20, 8, 14, 182, 51, 22, 56, 50, 1897, 21, 134, 19, 10737, 17, 22, 29, 747, 8139, 26, 1773, 44, 1537, 20, 10, 8720, 1422, 20, 10, 166, 12, 26322, 19, 563, 8582, 20, 10, 10948, 455, 328, 20, 10, 166, 12, 5638, 504, 442, 19, 7421, 8582, 36, 12, 1521, 7, 12, 383, 7, 1173, 20, 10, 978, 295, 20, 10, 53, 383, 7, 1173, 49, 2947, 296, 20, 8, 118, 9170, 36, 12, 20, 12058, 5402, 13561, 21, 199, 7638, 137, 120, 9170, 36, 15, 22, 18176, 169, 11154, 36, 16, 4305, 20, 8, 7, 2135, 2098, 29987, 72, 36, 25, 599, 7638, 137, 126, 9170, 36, 15, 22, 20, 19259, 14, 197, 26752, 6660, 32, 16273, 57, 19, 6751, 11, 7, 1575, 137, 161, 9170, 1006, 20, 8, 36, 79, 3542, 84, 21, 199, 7638, 20, 8, 119, 2589, 7, 640, 20, 10, 61, 3731, 1699, 11242, 7, 1379, 50, 2072, 371, 99, 9234, 82, 663, 95, 2832, 119, 2589, 7, 640, 20, 10, 978, 213, 20, 10, 43, 1173, 32, 768, 1857, 80, 383, 7, 1173, 20, 8, 1103, 195, 12, 13697, 75, 21, 25242, 21, 20, 3, 134, 391, 46, 15, 22, 5738, 24, 4305, 20, 8, 13, 21, 22443, 51, 22, 56, 657, 54, 22, 109, 7466, 20, 8, 13, 51, 22, 56, 19464, 14, 197, 6751, 1397, 14, 12, 431, 633, 20, 10, 978, 426, 20, 10, 147, 576, 633, 32, 4132, 296, 25, 7638, 20, 8, 20657, 12, 1880, 7, 59, 2711, 20, 10, 177, 130, 1039, 15123, 20, 8, 130, 13697, 296, 12, 383, 7, 4080, 20, 8, 14157, 51, 22, 130, 6727, 21, 134, 20, 8, 45, 51, 22, 130, 109, 8119, 46, 15, 22, 5738, 24, 4305, 20, 8, 13, 21, 22443, 51, 22, 130, 657, 54, 22, 109, 7466, 20, 10, 978, 244, 20, 10, 61, 4221, 32, 13697, 1064, 12, 383, 7, 1173, 20, 8, 28, 18, 173, 8038, 36, 18, 1028, 180, 20, 8, 213, 13, 426, 20, 8, 50, 2072, 54, 22, 21, 24519, 51, 22, 185, 205, 7041, 18, 506, 32, 89, 55, 17458, 36, 114, 1028, 20, 8, 13, 512, 26, 15, 22, 5241, 19, 563, 6708, 14, 89, 2107, 172, 78, 2286, 20, 10, 978, 452, 20, 10, 43, 1173, 32, 20, 8, 119, 5738, 24, 4305, 20, 8, 845, 1115, 24, 336, 2019, 274, 15, 22, 7638, 20, 8, 45, 54, 22, 6 ]

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

[ 5, 9249, 39, 332, 183, 5856, 6231, 20, 10, 171, 16, 314, 155, 20, 8, 21, 15, 22, 1114, 144, 56, 30, 20, 8, 69, 22, 30, 3089, 27, 12, 612, 76, 321, 178, 38, 7404, 18, 21583, 11, 17, 22, 29, 277, 604, 20, 8, 13, 15, 22, 100, 38, 901, 14, 29568, 25, 1642, 14, 331, 20, 8, 14, 532, 7, 64, 20, 10, 4441, 20, 8, 51, 22, 56, 30, 8646, 28, 127, 1492, 13, 51, 22, 56, 38, 8024, 44, 27, 64, 342, 8024, 20, 8, 56, 30, 1735, 26, 541, 121, 25, 2429, 7, 15400, 20, 10, 787, 7, 168, 20, 8, 28, 29, 706, 584, 20, 8, 44, 5856, 26944, 5626, 13, 21471, 158, 2883, 14720, 1960, 1086, 20, 8, 1081, 31456, 11, 20, 8, 26, 64, 8311, 44, 32, 64, 30, 809, 20, 8, 45, 26, 64, 2407, 617, 20286, 76, 5393, 20, 8, 452, 423, 20, 10, 386, 183, 9116, 20, 8, 104, 6044, 7, 2656, 13, 7, 30366, 51, 22, 2930, 21, 139, 3861, 37, 1801, 20, 8, 773, 5666, 14, 6231, 16, 3100, 2914, 51, 22, 56, 845, 262, 1010, 773, 14152, 1308, 1840, 46, 129, 33, 127, 537, 20, 10, 910, 51, 22, 130, 187, 110, 1397, 14, 44, 51, 22, 16273, 242, 59, 1114, 20, 8, 1647, 14, 15, 22, 10178, 82, 16, 249, 39, 28, 12, 1295, 144, 64, 657, 78, 1340, 197, 23, 28505, 35, 20, 8, 32, 1710, 221, 634, 26, 90, 2107, 20, 10, 5880, 238, 547, 8124, 21, 1192, 14, 59, 191, 137, 348, 67, 549, 9973, 14, 238, 7521, 20, 28092, 9512, 20, 8, 79, 176, 16, 1801, 24, 5856, 5368, 20, 8, 14692, 189, 17, 22, 25, 1449, 7, 13418, 20, 10, 47, 43, 9765, 30, 2974, 46, 19, 16978, 13, 20, 3, 38, 84, 391, 3595, 26, 64, 25, 1801, 813, 731, 46, 19, 23889, 20, 8, 4196, 36, 6712, 915, 1840, 20, 10, 70, 38, 84, 15204, 19, 13800, 33, 2272, 64, 14137, 6417, 20, 8, 8124, 13, 348, 20, 8, 13, 56, 109, 38, 5061, 158, 3119, 31, 142, 15054, 3238, 11392, 35, 1689, 20, 8, 22524, 8862, 10567, 11, 1707, 12972, 20, 8, 142, 15054, 1888, 20, 8, 8124, 23, 24045, 57, 20, 10, 43, 730, 7, 80, 1018, 20, 8, 32, 7, 297, 140, 22, 1031, 14998, 242, 46, 5201, 14, 139, 3796, 251, 16, 305, 579, 20, 8, 140, 22, 38, 84, 6099, 18, 979, 33, 129, 20, 10, 711, 243, 11340, 20, 8, 51, 22, 56, 6026, 17, 22, 13771, 784, 20, 8, 140, 22, 228, 9412, 280, 22, 208, 85, 2305, 4996, 20, 8, 46, 29, 409, 65, 13, 4104, 2413, 20, 10, 70, 140, 22, 38, 230, 31, 321, 133, 22, 1551, 95, 14453, 137, 113, 22, 9249, 29, 576, 27, 113, 22, 20, 22972, 20, 8, 27, 113, 22, 20, 22972, 20, 8, 38, 102, 76, 225, 130, 140, 22, 38, 901, 29, 547, 1082, 20, 8, 13, 130, 30, 10191, 23751, 22, 12581, 17791, 185, 20, 8, 21, 139, 6 ]

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

[ 5, 39, 1784, 1784, 9179, 424, 102, 17, 22, 953, 71, 1814, 51, 22, 252, 88, 424, 381, 112, 1120, 252, 88, 6042, 424, 102, 18, 654, 7492, 20109, 15, 22, 20, 7156, 71, 1814, 27, 203, 89, 38, 84, 25, 6860, 7893, 13, 17, 22, 25, 277, 532, 753, 538, 7, 210, 18, 607, 88, 252, 52, 22, 88, 39, 4620, 14, 15, 22, 2589, 424, 102, 4620, 46, 25, 2589, 2957, 252, 613, 271, 368, 538, 7, 12, 1871, 208, 424, 102, 252, 14032, 1032, 14, 210, 424, 102, 26, 1406, 26, 54, 22, 20, 10832, 26, 25, 10516, 7, 1315, 100, 3239, 1032, 14, 210, 408, 236, 408, 236, 71, 1814, 27, 12, 12, 572, 7, 12, 572, 927, 1006, 12, 107, 23, 179, 39, 12, 572, 927, 12, 572, 17, 22, 17203, 527, 27, 25215, 186, 275, 104, 25, 154, 3356, 13, 130, 30, 41, 703, 7, 210, 17203, 38, 17391, 7, 80, 1663, 7, 7, 210, 408, 236, 408, 236, 13, 208, 122, 114, 117, 1281, 160, 48, 36, 1067, 316, 79, 14, 15, 22, 1962, 30, 23, 272, 27, 56, 109, 38, 29, 1795, 7, 7, 2114, 741, 7, 1006, 74, 20728, 2114, 741, 169, 12775, 27, 18, 607, 7, 15, 22, 4075, 21, 553, 424, 102, 82, 348, 32, 100, 4543, 82, 1987, 22, 25, 7, 15, 22, 4075, 55, 19, 607, 32, 88, 29, 537, 723, 424, 102, 32, 21, 553, 424, 102, 30, 24, 35, 14, 19, 524, 4817, 2059, 27, 408, 202, 408, 202, 18, 607, 7, 17, 22, 20, 3, 17203, 391, 424, 102, 32, 88, 7, 1505, 2671, 1676, 55, 19, 607, 32, 32, 88, 19, 19, 2671, 9602, 28, 19, 11899, 2353, 2079, 1308, 57, 8699, 11, 408, 236, 408, 236, 12775, 19, 28, 19, 10507, 10779, 2079, 1308, 57, 8699, 11, 12, 1066, 19, 607, 27, 71, 4457, 55, 19, 13139, 17, 22, 759, 45, 7, 7, 356, 160, 16, 1969, 741, 30, 14, 210, 208, 27, 274, 18, 939, 1308, 57, 3873, 37, 1397, 44, 55, 19, 524, 2360, 275, 104, 78, 547, 1795, 30, 23, 272, 27, 36, 415, 28, 29, 71, 1123, 39, 28, 29, 1904, 29316, 35, 45, 277, 475, 48, 425, 3819, 36, 415, 16, 1352, 7, 12, 16789, 2079, 1308, 57, 8699, 1006, 74, 424, 102, 107, 67, 179, 107, 67, 179, 424, 102, 21, 553, 44, 55, 19, 607, 32, 55, 424, 102, 182, 28822, 11, 27, 64, 107, 67, 179, 182, 13, 252, 54, 22, 1031, 4819, 433, 4928, 271, 182, 408, 236, 408, 236, 17, 22, 953, 28, 18, 5244, 29316, 72, 71, 791, 51, 22, 56, 109, 38, 19, 5244, 29316, 72, 19, 939, 1308, 57, 3873, 13, 19, 209, 38, 102, 305, 69, 22, 30, 69, 22, 30, 69, 22, 30, 7086, 17386, 20728, 25, 154, 25, 154, 17386, 1291, 408, 236, 408, 236, 25, 154, 17386, 1006, 21, 44, 32, 139, 1336, 8020, 71, 2730, 466, 19, 607, 8727, 14, 17203, 13, 32, 6 ]

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

[ 5, 117, 641, 50, 36, 218, 1817, 41, 79, 16, 136, 27, 24, 296, 12, 8670, 20, 8, 77, 21, 8228, 7, 12, 6408, 20, 8, 152, 20, 10, 31486, 27664, 12, 7681, 144, 56, 15, 22, 228, 14910, 31, 773, 47, 229, 585, 1082, 38, 498, 29, 1018, 625, 2232, 3869, 20, 8, 50, 10007, 67, 309, 39, 20, 8, 6087, 16, 10281, 74, 65, 773, 47, 6025, 143, 3869, 20, 8, 21, 340, 20, 8, 65, 14914, 5879, 20, 10, 70, 12436, 57, 31, 47, 2356, 12, 370, 7, 78, 585, 1082, 38, 617, 475, 17, 22, 7960, 102, 3180, 20, 8, 1081, 7, 21993, 137, 56, 714, 27, 366, 21, 130, 50, 4934, 63, 209, 479, 20, 10, 190, 16, 3963, 316, 20, 8, 6087, 31486, 20, 8, 275, 48, 12, 1272, 135, 20, 10, 123, 139, 2254, 17, 22, 25, 2102, 19385, 20, 8, 130, 38, 15, 22, 3218, 17, 22, 25, 15691, 26743, 33, 12, 750, 20, 10, 65, 773, 47, 844, 25, 15691, 7776, 33, 12, 750, 20, 8, 27664, 21, 17722, 152, 20, 10, 31486, 20, 8, 69, 22, 30, 1702, 26, 97, 16, 1765, 7, 617, 20005, 20, 10, 65, 70, 12, 14539, 57, 24, 532, 7, 5879, 25, 562, 17, 22, 9886, 52, 18463, 1515, 20, 10, 5879, 21034, 20, 8, 13, 14914, 31, 47, 1446, 87, 26, 59, 10374, 20, 10, 65, 152, 20, 10, 31486, 50, 484, 5463, 4345, 39, 20, 8, 77, 20, 7203, 57, 205, 7, 2071, 143, 27, 5879, 18313, 268, 13, 119, 8745, 20, 10, 1641, 1069, 22566, 18, 1076, 6144, 24, 2102, 1424, 20, 10, 47, 70, 30, 1473, 16, 8900, 18131, 65, 20, 8, 14, 12, 8670, 7, 13365, 20, 8, 20, 6181, 22, 1271, 95, 37, 609, 7, 1277, 7, 49, 3175, 12591, 11810, 36, 12, 1018, 7, 12, 7968, 20, 8, 217, 56, 228, 3217, 20, 3, 427, 7, 6186, 391, 20, 8, 12, 1082, 24, 5935, 7, 15682, 20, 8, 51, 22, 56, 18313, 20, 10, 463, 12, 8670, 20, 8, 121, 18, 1618, 160, 56, 38, 95, 395, 28, 44, 3560, 182, 18, 117, 480, 2078, 20, 8, 3173, 20756, 35, 13, 6186, 20, 8, 49, 7298, 361, 274, 16, 10281, 20, 10, 245, 394, 19, 3450, 49, 7927, 108, 16, 15211, 20, 10, 152, 20, 10, 31486, 20, 8, 176, 59, 12001, 20, 8, 228, 4033, 7, 6941, 21, 1565, 20, 8, 44, 51, 22, 56, 50, 2123, 1702, 39, 20, 10, 141, 52, 22, 186, 39, 25, 1056, 4565, 35, 87, 997, 105, 27, 152, 20, 10, 31486, 20, 8, 77, 56, 228, 16, 305, 2589, 7, 2087, 26, 129, 67, 549, 59, 5362, 341, 816, 11966, 20, 8, 13, 82, 56, 228, 271, 27330, 20, 8, 56, 186, 813, 2148, 14, 3508, 13834, 20, 10, 70, 52, 22, 186, 39, 7, 339, 32, 3991, 205, 79, 606, 14, 543, 25, 2432, 21436, 2845, 20, 8, 13, 32, 7951, 159, 20065, 26, 19, 435, 23290, 11, 31, 56, 11147, 275, 100, 15, 22, 14361, 242, 20, 6 ]

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

[ 5, 109, 38, 207, 279, 100, 52, 22, 228, 39, 487, 17, 22, 1196, 26, 97, 104, 26, 97, 16, 1630, 27, 71, 1610, 113, 22, 9249, 39, 487, 56, 109, 38, 1435, 128, 56, 109, 228, 39, 487, 17, 22, 25, 393, 7, 1454, 13, 365, 679, 113, 22, 20, 3580, 25, 393, 19, 117, 4164, 11, 44, 560, 2590, 2458, 26, 271, 7, 634, 38, 102, 305, 74, 20728, 1291, 20728, 1291, 36, 415, 74, 1006, 48, 10104, 3765, 25, 154, 74, 87, 26, 424, 102, 19, 10516, 7, 8950, 424, 102, 26, 12, 9618, 466, 408, 236, 408, 236, 19, 10516, 7, 634, 51, 22, 100, 64, 419, 18, 4164, 11, 27, 18, 4164, 11, 27, 4688, 71, 1003, 11796, 71, 1003, 39, 16, 4164, 4216, 1291, 679, 56, 109, 38, 2590, 19, 19, 634, 27, 71, 1246, 5723, 271, 182, 110, 113, 22, 917, 95, 41, 703, 77, 1006, 56, 109, 38, 1435, 128, 169, 69, 22, 186, 39, 2458, 69, 22, 186, 104, 79, 14, 84, 6973, 14, 15, 22, 2456, 56, 109, 38, 19, 19, 303, 32, 24486, 13, 17, 22, 209, 32, 50, 24486, 39, 17, 22, 185, 48, 203, 1943, 14, 597, 74, 69, 22, 30, 17, 22, 12378, 19, 19758, 112, 2590, 679, 24, 413, 28, 1007, 15, 22, 940, 49, 529, 113, 22, 1551, 25, 2580, 32, 280, 22, 14, 15, 22, 2563, 7, 6762, 128, 52, 22, 38, 371, 366, 84, 14, 15, 22, 2456, 56, 54, 22, 30, 2640, 56, 228, 6762, 128, 56, 186, 268, 25, 154, 21, 2577, 406, 883, 88, 1432, 424, 102, 1006, 88, 1432, 12, 1295, 51, 22, 56, 3929, 1092, 424, 102, 112, 21, 2577, 527, 527, 51, 22, 20, 3, 56, 391, 228, 56, 228, 3276, 15, 22, 2456, 14, 17245, 128, 144, 56, 228, 6110, 143, 59, 19312, 17, 22, 17001, 17, 22, 953, 56, 15, 22, 38, 677, 252, 129, 88, 84, 364, 19, 298, 2537, 381, 25, 625, 56, 15, 22, 38, 677, 82, 5380, 14, 6762, 128, 153, 13, 252, 1069, 95, 314, 14, 44, 310, 23, 1268, 71, 50, 139, 2201, 41, 450, 203, 54, 22, 2416, 33, 18, 8347, 11, 56, 109, 38, 25, 554, 17, 22, 10718, 56, 139, 714, 38, 102, 1291, 144, 56, 109, 38, 1779, 598, 19, 4060, 13, 252, 129, 1069, 5092, 16, 3127, 56, 54, 22, 30, 494, 14, 97, 24, 3127, 14, 20569, 128, 24, 3127, 4800, 7229, 56, 385, 39, 21, 4188, 13, 365, 56, 38, 677, 59, 7611, 7, 3127, 25, 2330, 7, 4511, 341, 13, 365, 679, 219, 51, 22, 66, 19544, 148, 527, 51, 22, 56, 38, 271, 7, 2577, 87, 890, 77, 1006, 56, 220, 54, 22, 21, 1406, 13, 370, 1291, 74, 13, 56, 228, 39, 17, 22, 20, 11781, 144, 56, 186, 56, 228, 39, 17, 22, 20, 11781, 77, 56, 186, 39, 24, 79, 28, 12, 5028, 51, 22, 56, 129, 3055, 13, 56, 6717, 39, 12, 5028, 32, 6 ]

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

[ 5, 9457, 15557, 143, 13804, 110, 100, 129, 21, 23383, 1691, 12, 2584, 12, 2257, 137, 13, 679, 56, 129, 1714, 242, 110, 154, 20, 8, 51, 22, 130, 54, 22, 21, 20, 18217, 5837, 130, 67, 549, 20, 10, 177, 130, 23383, 569, 9986, 37, 996, 7, 80, 1354, 20, 8, 107, 23, 179, 23383, 67, 162, 2640, 27, 44, 692, 12912, 186, 16, 533, 32, 15, 22, 1486, 11423, 3868, 37, 393, 7, 10881, 14, 85, 1541, 979, 20, 10, 70, 30, 1231, 27, 20, 8, 6264, 67, 1268, 20, 8, 12, 483, 20, 8, 12, 15638, 13, 15, 22, 8704, 7, 15, 22, 10597, 15, 22, 1069, 486, 18622, 503, 25, 154, 137, 77, 20, 8, 172, 51, 22, 130, 15, 22, 228, 9077, 687, 17, 22, 130, 21, 10156, 20, 8, 13804, 50, 54, 22, 38, 1455, 272, 504, 242, 41, 7, 78, 23776, 20, 8, 969, 14, 4431, 7, 576, 14, 576, 108, 87, 27, 17, 22, 739, 14, 739, 20, 10, 70, 30, 1231, 27, 20, 8, 701, 18, 117, 16480, 13, 12, 1138, 9244, 49, 390, 11402, 1817, 7199, 830, 37, 3153, 24, 1448, 20, 8, 13804, 603, 2698, 13, 104, 25, 154, 22218, 7, 314, 27, 10881, 10237, 242, 197, 80, 2655, 33, 12, 4778, 576, 20, 10, 141, 603, 46, 29, 12718, 5944, 27, 15, 22, 10597, 20, 8, 5195, 2793, 12, 697, 7, 12786, 138, 225, 13, 15, 22, 11214, 14, 3107, 16, 1127, 7, 80, 1492, 20, 8, 129, 230, 51, 22, 130, 20556, 79, 16, 330, 7, 44, 51, 22, 130, 228, 84, 13, 7, 44, 51, 22, 130, 228, 95, 26, 130, 929, 78, 547, 7232, 20, 10, 773, 2635, 14, 1344, 20, 8, 238, 13804, 20, 8, 230, 67, 162, 14, 59, 5887, 1094, 22, 615, 3275, 622, 14, 622, 20, 8, 71, 717, 22062, 5723, 110, 71, 20, 3, 717, 391, 15184, 16, 104, 390, 1325, 211, 6377, 125, 20, 10, 986, 52, 22, 38, 11, 324, 7, 15681, 600, 30643, 11, 26, 27, 730, 6634, 7, 12, 54, 13556, 11, 35, 19817, 139, 714, 25, 243, 6608, 20, 10, 124, 717, 4457, 20, 8, 325, 50, 10164, 41, 1344, 67, 549, 110, 325, 52, 22, 9249, 39, 1432, 25, 810, 834, 14, 514, 22, 22989, 7, 197, 918, 1732, 37, 23, 1566, 7, 114, 6585, 2624, 9397, 20, 10, 773, 73, 22, 30, 14, 646, 7, 1344, 27, 222, 140, 22, 30, 1735, 25, 834, 20, 8, 14914, 13804, 25, 154, 486, 18622, 503, 20, 10, 773, 26892, 153, 20, 8, 6491, 8622, 76, 27664, 10881, 21, 15, 22, 20, 31960, 111, 20, 8, 69, 22, 30, 14, 646, 7, 48, 67, 549, 76, 10509, 242, 67, 272, 25, 15656, 17, 22, 267, 6598, 8198, 32, 2123, 745, 155, 15, 22, 5887, 7, 13804, 74, 1252, 20, 10, 10881, 186, 12, 576, 12, 41, 1195, 46, 18, 209, 13, 12, 41, 11124, 1703, 23, 167, 23, 1512, 17, 22, 130, 67, 549, 20, 10, 177, 15, 22, 6608, 7, 59, 5887, 129, 23383, 6 ]

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

[ 5, 13, 25, 6110, 143, 13780, 275, 56, 768, 95, 14, 15, 22, 827, 280, 22, 167, 20569, 128, 56, 50, 1103, 41, 2033, 25, 1630, 69, 22, 30, 39, 414, 208, 51, 22, 86, 5430, 25, 2454, 27, 339, 32, 498, 55, 5827, 6796, 12775, 159, 1196, 77, 208, 51, 22, 86, 621, 19, 18930, 11, 7, 38, 102, 19, 2437, 14, 339, 32, 498, 55, 16523, 359, 32, 50, 107, 39, 99, 13780, 1834, 56, 220, 10935, 26, 99, 4038, 2018, 593, 7, 3598, 2300, 16, 11539, 100, 419, 16, 11539, 26, 19, 4959, 4211, 69, 22, 40, 39, 809, 14, 183, 1130, 26, 54, 22, 6895, 7, 5272, 17, 22, 3577, 28, 671, 205, 84, 19, 1196, 280, 22, 14, 2883, 23, 8196, 128, 26, 54, 22, 6895, 19, 79, 765, 12, 5130, 18, 5272, 17, 22, 3577, 100, 52, 22, 57, 39, 487, 26, 348, 7, 381, 51, 22, 66, 109, 38, 417, 7, 1505, 1340, 11, 32, 52, 22, 270, 39, 16, 7, 13829, 13, 32, 49, 10939, 5827, 7, 7, 54, 22, 9939, 7, 114, 765, 303, 679, 69, 22, 40, 127, 324, 7, 518, 1291, 69, 22, 40, 3394, 44, 27, 71, 1743, 205, 52, 22, 30, 23, 272, 39, 74, 1291, 208, 30, 23, 272, 27, 48, 12629, 27, 69, 22, 40, 12, 104, 475, 26, 18, 6599, 13, 18, 2078, 424, 102, 1289, 6156, 26, 18, 6599, 203, 560, 7, 25, 154, 41, 3041, 51, 22, 256, 6885, 271, 41, 7, 7, 11896, 527, 27, 69, 22, 40, 275, 104, 129, 32, 258, 99, 866, 7, 438, 679, 26, 12, 1082, 14, 15, 22, 1417, 144, 15, 22, 100, 1777, 130, 107, 112, 87, 205, 29, 194, 25, 2711, 20, 3, 32, 391, 38, 29, 409, 537, 17, 22, 58, 533, 562, 16, 2711, 54, 22, 93, 220, 45, 424, 102, 29, 7459, 5184, 13, 12, 1082, 49, 1347, 12, 585, 576, 49, 1347, 119, 537, 46, 424, 102, 39, 7, 18930, 11, 366, 24, 79, 153, 26, 348, 56, 219, 27, 18, 2078, 6885, 29, 537, 424, 102, 29, 29, 1516, 3401, 424, 102, 1687, 108, 9179, 1081, 27, 18, 6599, 1291, 107, 109, 205, 19, 903, 16579, 28, 12, 145, 48, 445, 87, 8634, 332, 23, 1566, 1291, 48, 445, 578, 17, 22, 712, 71, 235, 890, 1291, 20728, 10010, 26, 2334, 14, 12, 304, 17, 22, 17203, 1291, 595, 12005, 1291, 30, 23, 272, 27, 17, 22, 864, 48, 100, 84, 600, 26, 18, 1262, 14, 17203, 74, 71, 791, 27, 1291, 26, 18, 1262, 1291, 1291, 71, 791, 27, 1291, 16121, 424, 102, 252, 55, 21, 1192, 7, 97, 424, 102, 29, 2811, 252, 511, 252, 88, 84, 25, 1291, 252, 812, 20, 27551, 16, 1494, 19, 5131, 113, 22, 105, 1568, 745, 19, 480, 32, 88, 230, 27, 56, 52, 22, 109, 38, 366, 26, 18, 480, 26, 12, 2000, 14, 17203, 366, 14, 97, 1291, 56, 109, 38, 1291, 679, 48, 3392, 28, 12, 6 ]

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

[ 5, 20, 10, 3361, 16, 1186, 24, 358, 11, 13621, 18196, 137, 13, 15679, 19, 20, 19051, 11, 280, 22, 14, 1435, 557, 20, 10, 773, 18273, 21451, 381, 12, 789, 20, 10, 773, 11213, 2018, 143, 7, 97, 24, 1448, 28, 238, 1492, 46, 19, 5741, 20227, 10231, 137, 77, 79, 38, 95, 1857, 7, 8956, 20, 10, 773, 61, 4390, 2941, 9580, 17, 22, 2930, 20, 8, 7696, 1081, 11819, 7, 2322, 13, 7, 6048, 20, 8, 49, 55, 27, 22984, 592, 20, 8, 17851, 20, 8, 13, 1006, 7149, 36, 1281, 20, 8, 33, 12, 750, 20, 8, 26, 1149, 63, 1924, 20, 8, 44, 32, 18, 38, 8607, 148, 41, 20960, 11, 27, 159, 21827, 11, 20, 10, 773, 234, 3442, 1761, 225, 8124, 30, 12280, 35, 20, 10, 6231, 17913, 12855, 225, 6644, 2004, 24, 1322, 2160, 13, 3478, 20, 10, 161, 428, 20, 10, 47, 225, 3802, 17, 22, 20, 12440, 677, 122, 8124, 13, 59, 983, 20, 10, 224, 38, 95, 112, 12280, 35, 381, 207, 557, 20, 10, 844, 130, 54, 22, 30, 13196, 25, 154, 400, 20, 8, 64, 64, 482, 2523, 14, 13617, 221, 18, 117, 20, 10, 3867, 76, 1759, 80, 7521, 5584, 26423, 1120, 7, 114, 9158, 17127, 82, 130, 21, 19739, 242, 79, 14, 15, 22, 1962, 20, 10, 773, 2349, 950, 20, 8, 7521, 30007, 20, 8, 27, 7, 168, 52, 22, 342, 67, 1311, 39, 7762, 5181, 830, 20, 8, 64, 117, 687, 24, 5731, 20, 8, 82, 140, 22, 109, 1894, 20, 8, 679, 197, 706, 20, 10, 9020, 20, 8, 20728, 76, 169, 20, 8, 71, 50, 235, 39, 706, 20, 10, 133, 22, 1551, 238, 7048, 20, 8, 406, 1260, 7, 4222, 1211, 20, 8, 183, 6067, 13142, 20, 8, 8668, 1866, 17, 22, 29, 20456, 4416, 162, 137, 275, 71, 52, 22, 1551, 39, 19, 557, 14, 89, 608, 20, 8, 20, 3, 113, 22, 391, 1551, 19, 817, 225, 65, 284, 428, 20, 10, 47, 147, 583, 651, 7, 54, 22, 20, 23396, 20, 8, 7521, 5713, 20, 8, 119, 51, 22, 29, 706, 338, 1105, 7, 238, 8254, 21, 1932, 5504, 18, 3775, 20, 10, 43, 249, 194, 20, 8, 44, 1604, 194, 24, 938, 20, 8, 32, 17, 22, 6384, 140, 22, 2892, 85, 5415, 11, 15102, 11, 20, 8, 54, 22, 30, 677, 21, 16087, 17738, 72, 20, 8, 28, 15, 22, 20, 12440, 20, 8, 13, 197, 12, 789, 14, 7907, 20, 10, 773, 5393, 20, 8, 16, 164, 20, 8, 71, 10992, 20872, 35, 7, 112, 409, 1962, 36, 183, 5856, 6231, 20, 8, 12280, 195, 1695, 20, 10, 124, 4063, 11, 7875, 16, 5935, 986, 81, 7393, 20, 8, 32, 20, 8, 110, 17791, 51, 22, 56, 15, 22, 6265, 606, 20, 8, 139, 230, 31, 47, 141, 52, 22, 30, 20, 8, 41, 348, 32, 235, 809, 373, 20, 10, 70, 219, 97, 7875, 359, 32, 107, 6092, 59, 5584, 20, 10, 65, 386, 44, 310, 20, 8, 71, 139, 8195, 11, 6 ]

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

[ 5, 27, 238, 576, 348, 71, 18, 2753, 11, 39, 378, 71, 18, 2753, 11, 104, 5749, 114, 865, 23, 1268, 408, 236, 408, 236, 69, 22, 30, 51, 22, 56, 1058, 51, 22, 56, 219, 39, 18, 335, 13, 208, 51, 22, 30, 23, 272, 27, 48, 1517, 28, 114, 173, 23, 1268, 74, 100, 15275, 7, 71, 48, 1091, 110, 71, 20477, 39, 113, 22, 15275, 7, 4897, 7276, 77, 110, 71, 20477, 69, 22, 30, 368, 826, 69, 22, 30, 2434, 13, 424, 102, 48, 16621, 19, 15556, 11, 26, 44, 965, 7, 634, 45, 87, 48, 6105, 39, 1784, 74, 450, 48, 4830, 74, 48, 109, 20159, 135, 271, 17, 22, 5445, 74, 1006, 56, 109, 38, 19, 634, 27, 38, 102, 1291, 38, 102, 1291, 1291, 208, 51, 22, 30, 23, 272, 27, 48, 1517, 74, 29, 547, 15556, 74, 169, 38, 102, 169, 71, 235, 39, 1784, 20315, 110, 69, 22, 30, 498, 25, 154, 8424, 424, 102, 71, 1123, 39, 348, 71, 1306, 16, 25751, 7, 7, 617, 475, 160, 56, 228, 112, 1191, 45, 38, 102, 305, 26, 919, 965, 7, 865, 36, 415, 74, 48, 425, 139, 608, 25, 415, 7, 197, 478, 44, 55, 19, 22425, 11, 56, 109, 38, 39, 38, 102, 6156, 1441, 1441, 19, 1137, 865, 597, 19, 1291, 36, 415, 74, 71, 1123, 39, 56, 220, 139, 2121, 19, 15257, 600, 378, 13, 28, 44, 173, 23, 1268, 208, 36, 415, 26, 15257, 30, 23, 272, 27, 48, 16, 12144, 7840, 1006, 74, 169, 39, 600, 2590, 169, 39, 600, 74, 48, 48, 48, 16, 16, 48, 16, 22806, 135, 21295, 7, 617, 475, 26, 205, 424, 102, 38, 102, 1291, 1291, 275, 424, 102, 1006, 219, 498, 51, 22, 20, 3, 56, 391, 1031, 15714, 275, 104, 305, 208, 919, 840, 36, 415, 74, 305, 2209, 48, 12886, 135, 39, 6156, 18, 865, 48, 3392, 69, 22, 30, 39, 112, 2710, 1006, 69, 22, 30, 15257, 13, 1056, 1006, 44, 51, 22, 252, 20, 16397, 14, 15, 22, 2456, 597, 275, 100, 38, 689, 128, 13, 365, 252, 49, 5912, 281, 79, 7, 306, 51, 22, 56, 3055, 39, 16, 335, 208, 252, 54, 22, 27251, 111, 7, 16, 390, 1504, 13, 1006, 12, 636, 395, 7, 424, 102, 48, 1006, 110, 110, 48, 445, 7, 1793, 3775, 30, 23, 272, 27, 170, 883, 8635, 1726, 14, 12, 478, 160, 48, 36, 1067, 316, 74, 38, 102, 1291, 252, 8635, 112, 1726, 74, 1291, 13, 14, 919, 965, 7, 634, 466, 252, 8635, 1726, 74, 906, 102, 87, 424, 102, 466, 63, 16161, 7, 384, 183, 983, 56, 2123, 600, 1726, 466, 63, 16161, 7, 384, 1291, 13, 208, 450, 56, 54, 22, 109, 14116, 74, 906, 102, 87, 56, 64, 390, 13510, 242, 275, 100, 275, 100, 2123, 19, 16161, 7, 384, 600, 600, 7463, 56, 48, 390, 13510, 242, 20, 8532, 45, 74, 38, 102, 1291, 1291, 571, 51, 22, 56, 38, 6 ]

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

[ 5, 305, 38, 102, 69, 22, 40, 25, 344, 154, 813, 208, 424, 102, 71, 7707, 945, 16, 850, 82, 203, 64, 50, 80, 341, 291, 39, 1669, 18, 227, 19176, 19459, 38, 102, 305, 2172, 52, 22, 40, 23, 272, 39, 74, 1291, 1291, 1291, 71, 7006, 1291, 112, 87, 16, 850, 133, 455, 311, 3001, 1525, 13, 64, 482, 16, 117, 490, 1291, 305, 112, 87, 208, 424, 102, 48, 11325, 135, 614, 7, 12, 20, 3, 2222, 1037, 5295, 391, 614, 7, 12, 2222, 1037, 5295, 1291, 13, 56, 109, 38, 175, 12, 614, 7, 12, 2222, 1037, 7666, 408, 236, 408, 236, 208, 424, 102, 3470, 424, 102, 109, 38, 271, 7, 227, 32, 64, 6721, 19, 2650, 33, 16, 411, 7, 114, 117, 3598, 208, 37, 9541, 23, 11, 2137, 13, 37, 9541, 23, 18656, 7, 78, 614, 23, 240, 14, 1101, 56, 109, 38, 29, 329, 19161, 32, 30, 19374, 21, 117, 679, 77, 1006, 69, 22, 385, 25, 1839, 2452, 71, 1323, 39, 48, 17, 23, 71, 50, 9377, 39, 48, 335, 1291, 16, 411, 7, 44, 2452, 1291, 77, 1006, 69, 22, 385, 25, 2452, 527, 27, 373, 188, 1006, 109, 38, 19, 279, 19, 279, 558, 7, 1435, 23, 12031, 3001, 13, 19, 8726, 11, 424, 102, 44, 52, 22, 385, 27, 19, 12517, 19, 26451, 11, 13, 19, 3981, 29666, 13, 208, 424, 102, 28, 44, 2452, 56, 109, 228, 44, 114, 109, 228, 153, 121, 114, 26451, 11, 13, 114, 12517, 13, 114, 23221, 79, 203, 13, 208, 28, 44, 2452, 56, 109, 228, 117, 5105, 1739, 2511, 56, 109, 228, 29, 5105, 1739, 567, 26, 18, 26185, 11, 5098, 24, 2505, 150, 4141, 13, 29, 5105, 1739, 567, 26, 18, 26185, 11, 4996, 408, 236, 13, 208, 275, 18, 26185, 11, 54, 22, 93, 14032, 26, 358, 28243, 252, 50, 28237, 39, 16, 104, 9994, 109, 21, 228, 25, 32, 14116, 25, 9994, 408, 236, 408, 236, 251, 12, 1101, 13, 13, 15, 22, 434, 41, 251, 12, 1195, 7030, 153, 208, 19, 279, 185, 275, 12, 304, 17, 22, 12763, 424, 102, 2403, 197, 424, 102, 54, 22, 40, 334, 14, 1913, 13, 14, 6 ]

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

[ 5, 39, 2334, 20, 10, 245, 1141, 7, 311, 4605, 7, 820, 36, 19, 6109, 600, 5240, 11, 20, 8, 64, 2377, 29303, 3468, 6301, 14, 543, 18, 3981, 16, 24959, 24, 20834, 7, 15, 9, 8055, 27, 71, 14978, 31816, 137, 13, 20, 8, 185, 205, 1014, 207, 3598, 12516, 2956, 25297, 11, 7, 5662, 818, 4175, 13, 7, 1548, 256, 20, 8, 64, 64, 20, 11402, 3343, 11, 551, 12, 5894, 20, 8, 32, 52, 9, 186, 39, 17, 9, 29, 329, 26246, 211, 1761, 20, 10, 132, 30773, 18603, 7, 207, 50, 10946, 2955, 13, 7, 117, 45, 311, 13920, 7, 3712, 2204, 22302, 125, 18068, 11, 20, 8, 25, 5285, 21, 23118, 13, 19, 176, 4280, 11, 24, 104, 3712, 2204, 27, 18, 13920, 20, 8, 69, 9, 186, 79, 31, 14, 1101, 20, 8, 16, 7471, 79, 811, 7, 7985, 14438, 20, 8, 46, 29, 329, 6309, 7, 1916, 37, 907, 137, 14, 1195, 20, 8, 13, 28, 15, 9, 19591, 7, 15, 9, 8055, 20, 8, 16, 27812, 950, 20, 10, 73, 9, 186, 29, 443, 17, 9, 29, 6731, 8612, 13, 17, 9, 29, 18069, 38, 9012, 20, 10, 773, 174, 21, 4526, 3343, 11, 137, 207, 18184, 5268, 962, 559, 33, 12, 750, 7, 3527, 15162, 17, 9, 20, 22383, 137, 20, 31322, 72, 10112, 14, 15, 9, 9711, 1376, 19, 26318, 11, 20, 8, 615, 50, 54, 9, 8839, 994, 10262, 1817, 324, 7, 127, 856, 13, 49, 486, 17829, 1817, 14, 1246, 26, 64, 1165, 598, 20, 10, 132, 6004, 9163, 20, 6103, 5181, 13, 21, 2653, 143, 49, 3947, 3508, 20, 8, 13, 64, 2377, 29303, 6464, 22753, 25, 2102, 2177, 20, 10, 73, 9, 186, 16, 2177, 7, 183, 13715, 20, 10, 70, 228, 15, 9, 9886, 20, 16128, 20, 8, 16, 12208, 5369, 13, 121, 18, 4924, 7, 12, 41, 1546, 18324, 144, 1759, 2343, 25, 2177, 20, 10, 124, 16, 28896, 81, 105, 9250, 7, 12, 697, 20, 8, 13, 20, 3, 56, 391, 49, 7966, 9569, 14, 6353, 14, 532, 7, 348, 46, 25, 3218, 7, 4456, 267, 790, 11309, 816, 20, 10, 147, 576, 600, 11532, 20, 8, 13, 32, 228, 95, 12, 14357, 1356, 7, 15, 9, 1839, 15211, 20, 8, 18316, 108, 14, 127, 698, 13, 20, 8, 185, 140, 9, 205, 84, 3830, 28, 29, 801, 3950, 20, 8, 139, 13021, 110, 183, 8308, 186, 7, 12, 2087, 20, 10, 124, 129, 1860, 556, 27, 71, 12, 2087, 757, 20, 8, 130, 13, 16, 2177, 20, 8, 13, 108, 18, 18184, 20, 8, 13, 79, 16, 6522, 27, 59, 2292, 129, 228, 2866, 14, 80, 612, 20, 8, 44, 32, 12, 3947, 3830, 28, 25, 1239, 7, 2273, 20, 8, 15, 9, 20, 11056, 3727, 5671, 1213, 129, 663, 901, 33, 23, 165, 23, 10713, 16, 330, 51, 9, 130, 21, 3929, 20, 10, 794, 4675, 1934, 20, 8, 15, 9, 20, 11056, 3727, 5671, 1213, 640, 821, 37, 7315, 20, 10, 124, 29037, 215, 153, 533, 13, 119, 277, 6 ]

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

[ 5, 409, 666, 408, 236, 1291, 424, 102, 36, 415, 74, 71, 1123, 39, 348, 203, 107, 99, 24, 9653, 24, 20532, 45, 44, 32, 140, 22, 7895, 27, 44, 32, 140, 22, 7895, 39, 24, 79, 7, 17, 22, 15397, 746, 4293, 7075, 11796, 74, 424, 102, 30, 23, 272, 27, 48, 658, 135, 25, 6296, 74, 39, 24, 79, 408, 236, 424, 102, 48, 22682, 19, 9488, 74, 1291, 87, 890, 77, 1006, 69, 22, 40, 466, 406, 303, 38, 102, 305, 13, 30, 23, 272, 27, 48, 2209, 37, 2111, 74, 169, 37, 1652, 74, 1291, 373, 45, 14, 210, 74, 14, 210, 1291, 210, 210, 195, 12, 104, 306, 28, 18, 672, 919, 965, 7, 1305, 45, 3820, 2216, 74, 19290, 71, 1123, 39, 305, 6156, 203, 71, 424, 102, 21, 553, 71, 71, 4582, 25, 154, 33, 18, 6565, 18, 4314, 144, 30, 51, 22, 66, 109, 38, 19, 1291, 1291, 18, 1305, 18195, 11, 18, 1305, 10860, 424, 102, 5010, 424, 102, 408, 236, 51, 22, 40, 23, 272, 27, 69, 22, 40, 26, 48, 29, 1392, 18195, 74, 20728, 144, 109, 38, 6014, 7, 2533, 6014, 7, 19, 2671, 7221, 11, 408, 236, 424, 102, 19, 634, 82, 203, 424, 102, 348, 71, 1306, 37, 1652, 69, 22, 40, 26, 598, 29, 1507, 2539, 424, 102, 1291, 3673, 7, 314, 617, 475, 7, 5298, 87, 890, 77, 1006, 69, 22, 40, 39, 26, 2334, 46, 19, 1427, 10860, 597, 38, 102, 305, 208, 16, 16, 7471, 7, 3004, 44, 560, 107, 23, 179, 39, 2132, 16, 1583, 14, 2369, 2132, 305, 48, 3392, 14, 154, 538, 3443, 7, 168, 28, 15, 22, 470, 74, 45, 30, 23, 272, 27, 69, 22, 40, 82, 26, 16, 1237, 74, 1291, 69, 22, 40, 25, 154, 203, 1291, 82, 20, 3, 16, 1237, 391, 1291, 1291, 13, 24, 532, 7, 12, 887, 30, 23, 272, 27, 48, 6105, 8441, 25, 2175, 74, 1291, 71, 7827, 16, 2175, 1816, 69, 22, 40, 1007, 74, 53, 1111, 24, 927, 424, 102, 17, 22, 260, 6565, 11828, 11, 11235, 74, 275, 71, 235, 21, 744, 38, 102, 1291, 424, 102, 450, 56, 54, 22, 3579, 19, 634, 82, 203, 13, 119, 831, 29, 2031, 887, 880, 108, 1006, 1291, 1006, 203, 2124, 26, 90, 191, 1291, 1291, 45, 208, 7, 11235, 17, 22, 481, 19, 634, 82, 203, 108, 1291, 408, 236, 1006, 30, 23, 272, 27, 79, 222, 48, 1539, 16, 136, 7, 837, 74, 121, 18, 854, 11, 1291, 1291, 71, 7707, 271, 408, 236, 408, 236, 30, 23, 272, 51, 22, 66, 109, 38, 19, 11156, 960, 11, 74, 1291, 6156, 69, 22, 40, 195, 238, 238, 22408, 71, 7707, 6014, 7, 7, 1260, 33, 12, 636, 642, 424, 102, 424, 102, 38, 102, 1291, 77, 21, 2299, 21, 2299, 3470, 7, 7, 114, 11235, 17, 22, 481, 45, 19, 634, 82, 203, 1291, 13, 29, 395, 14, 740, 48, 1860, 316, 36, 1291, 45, 6 ]

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

[ 5, 4340, 1151, 50, 6990, 600, 7091, 20, 10, 124, 140, 22, 18080, 21244, 7, 50, 39, 396, 188, 13365, 26, 99, 890, 27, 406, 883, 27941, 2819, 20, 10, 133, 22, 24488, 215, 7, 837, 20, 10, 171, 82, 1435, 557, 59, 10826, 14, 12, 2966, 20, 8, 13, 27, 406, 883, 613, 15869, 11, 172, 617, 136, 268, 20, 8, 71, 50, 569, 11, 2764, 20, 10, 460, 9711, 559, 37, 249, 6430, 20, 8, 348, 37, 13159, 23, 200, 23, 14371, 20, 10, 124, 52, 22, 9249, 39, 494, 406, 18213, 3531, 11, 294, 17, 22, 20, 11127, 75, 16, 2438, 16, 41, 18046, 125, 414, 20, 10, 61, 5702, 17, 22, 29, 697, 20, 8, 5702, 7, 15, 22, 277, 44, 7025, 10051, 14, 646, 19, 9270, 20, 8, 113, 22, 20, 7901, 556, 46, 15016, 29, 547, 604, 17, 22, 8369, 20, 10, 70, 358, 165, 7004, 242, 20, 10, 8516, 400, 76, 53, 3881, 6947, 242, 16, 3969, 20, 10, 106, 1455, 272, 4027, 27, 12, 1128, 52, 22, 186, 39, 148, 16961, 35, 28, 12, 1492, 7, 406, 883, 20, 8, 71, 10992, 33, 16, 324, 7, 139, 390, 24418, 75, 20, 10, 171, 113, 22, 18080, 21, 820, 20, 10, 7043, 12, 15016, 19, 18213, 3531, 11, 186, 2355, 137, 14, 646, 7, 12, 3881, 71, 24, 11, 18, 3029, 20, 10, 2740, 20, 8, 56, 139, 3055, 20, 11127, 75, 16, 2438, 26, 50, 324, 20, 31090, 75, 12, 12898, 7, 12, 6008, 20, 10, 124, 140, 22, 20, 17519, 215, 24, 2438, 20, 8, 176, 1007, 113, 22, 9249, 635, 2165, 20, 8, 185, 16, 6941, 20, 8, 7, 1881, 29, 12299, 7, 1426, 26, 2791, 183, 20, 14400, 20, 10, 141, 2438, 186, 14839, 7, 23118, 14, 59, 27344, 20, 10, 53, 3881, 18, 20968, 24580, 72, 20, 10, 626, 71, 140, 22, 109, 26128, 757, 20, 8, 15, 22, 29, 17, 22, 615, 17026, 20, 10, 794, 20, 7654, 17, 9000, 8074, 16, 3969, 7, 20, 3, 80, 391, 3125, 20, 10, 70, 3055, 679, 10799, 28, 12, 614, 20, 10, 124, 28773, 16, 7025, 46, 406, 4348, 137, 71, 17026, 215, 28, 29, 5266, 57, 798, 20, 10, 147, 1365, 4665, 20, 8, 71, 24072, 105, 8105, 20, 8, 18, 979, 13505, 11, 251, 12, 4659, 7, 406, 883, 20, 8, 26, 314, 54, 22, 252, 9747, 559, 20, 8, 54, 22, 753, 6178, 11, 7, 617, 475, 20, 10, 53, 4659, 17671, 2997, 20, 10, 133, 22, 18080, 2002, 76, 123, 139, 783, 6264, 274, 1303, 2082, 20, 8, 71, 16696, 12, 11163, 20, 10, 124, 4157, 10804, 8073, 183, 7025, 28, 25, 20, 25469, 13, 16, 3107, 16, 2990, 20, 10, 53, 642, 20968, 78, 475, 10267, 20, 10, 94, 340, 20, 8, 37, 533, 2422, 144, 56, 109, 23383, 19, 20, 25469, 11, 13, 144, 56, 186, 414, 7, 8073, 16, 7025, 20, 8, 49, 10864, 29, 8195, 3609, 20, 8, 15620, 16, 2888, 7, 133, 225, 133, 22, 20, 17384, 215, 1120, 6 ]

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

[ 5, 930, 7, 12, 1111, 20, 8, 15, 22, 3027, 7, 8489, 24, 1577, 23842, 21, 199, 7638, 20, 8, 196, 1778, 8840, 33, 16, 6621, 418, 19, 17264, 24, 312, 7, 59, 1752, 20, 10, 8720, 2682, 20, 10, 300, 6438, 11, 37, 1577, 20, 10, 978, 295, 264, 20, 10, 43, 283, 7, 3786, 6438, 14, 12, 8489, 24, 1577, 20, 8, 4562, 14, 12, 370, 6140, 36, 1577, 46, 15, 22, 29, 19, 117, 1459, 26661, 72, 20, 10, 978, 295, 457, 20, 10, 43, 983, 20, 8, 13, 14, 2341, 24, 983, 20, 8, 12, 1138, 20, 8, 13, 14, 2341, 7, 983, 13, 1138, 20, 8, 18, 20, 1581, 35, 1109, 11, 13, 20, 1581, 35, 9397, 20, 8, 289, 3786, 6438, 37, 1577, 7, 159, 21, 18638, 11, 13, 7776, 2880, 20, 8, 148, 27, 339, 67, 240, 6885, 2883, 23, 13583, 128, 6728, 11, 20, 10, 978, 295, 565, 20, 10, 386, 2341, 17, 22, 726, 23704, 20, 8, 16, 2580, 45, 12, 5713, 20, 8, 15, 22, 17066, 45, 12, 417, 35, 20, 8, 16, 11688, 45, 12, 23157, 12052, 6586, 11, 20, 8, 6918, 20, 8, 50, 289, 3786, 894, 6438, 27, 28, 18, 117, 173, 20, 7922, 2880, 31, 118, 20, 10, 1641, 16, 5306, 24, 908, 7, 438, 20, 8, 8700, 36, 15, 22, 570, 9247, 20, 8, 52, 22, 38, 39, 95, 2895, 137, 120, 20, 10, 1641, 15, 22, 6438, 30, 4513, 33, 15, 22, 1114, 7, 28461, 24, 1849, 9316, 31, 78, 6438, 20, 8, 160, 16, 3449, 1103, 11068, 697, 23, 23172, 35, 5601, 13, 573, 20, 8, 50, 196, 371, 14814, 51, 22, 14, 12, 661, 20, 8, 36, 15, 22, 20226, 20, 8, 7, 6414, 15, 22, 13006, 20, 8, 13, 17, 22, 109, 97, 7622, 75, 28, 16, 1775, 32, 196, 5504, 36, 16, 3457, 20, 10, 978, 19450, 20, 10, 181, 18, 117, 173, 8038, 36, 20, 3, 16, 1638, 570, 391, 20, 8, 16, 18368, 45, 11432, 1506, 50, 1103, 20, 8, 381, 12, 928, 7, 12, 12825, 45, 11432, 586, 162, 20, 8, 3786, 6438, 51, 22, 770, 51, 22, 56, 109, 768, 95, 6829, 36, 25, 908, 7, 438, 20, 8, 51, 22, 56, 1103, 1056, 12862, 75, 20, 10, 978, 295, 763, 20, 10, 568, 3027, 17, 22, 6438, 29127, 296, 12, 383, 32, 621, 14, 15, 22, 20226, 16, 283, 7, 12, 3786, 137, 56, 31865, 10144, 7, 1752, 28, 16, 312, 144, 16, 1577, 2436, 99, 19826, 137, 56, 2436, 175, 20, 8, 14, 182, 51, 22, 56, 50, 187, 84, 14, 12, 10588, 17, 22, 25, 23704, 20, 8, 9782, 18, 5748, 7, 15, 22, 6438, 31, 16, 79, 14, 1246, 7, 23984, 20, 8, 13, 7, 15, 22, 13006, 7, 15, 22, 15479, 18099, 32, 860, 2627, 15, 22, 3027, 4570, 6438, 20, 10, 978, 295, 808, 20, 10, 43, 3449, 7, 261, 9462, 11068, 57, 28, 18, 1435, 287, 33, 12, 419, 21, 697, 23, 23172, 35, 20, 10, 978, 295, 6 ]

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

[ 5, 649, 20, 10, 123, 10448, 14, 44, 10188, 3762, 20, 8, 113, 22, 24488, 215, 7, 18765, 12, 547, 11258, 20, 10, 171, 110, 130, 44, 8292, 79, 7, 306, 12, 17913, 1213, 20, 8, 130, 28703, 122, 12, 1078, 13, 16, 5363, 44, 51, 22, 130, 6026, 7, 364, 13, 16, 390, 1936, 81, 108, 18334, 27, 110, 130, 23383, 19, 4348, 20, 10, 224, 17671, 155, 14, 139, 2369, 20, 8, 13, 85, 979, 11933, 6708, 140, 22, 38, 13723, 559, 7, 1408, 11352, 11, 26, 12, 1458, 2004, 567, 27, 71, 139, 3440, 11, 20767, 7, 139, 3538, 82, 551, 29, 329, 370, 31, 773, 73, 22, 30, 918, 3304, 76, 671, 50, 1743, 67, 948, 39, 24, 25350, 74, 146, 20, 8, 79, 21, 11168, 11, 20, 8, 770, 7, 12, 18815, 51, 22, 130, 140, 22, 32001, 337, 27, 24, 430, 51, 22, 130, 4416, 242, 14, 139, 97, 20, 8, 71, 129, 673, 105, 16, 3100, 32, 228, 8060, 197, 80, 6865, 4150, 593, 14, 15, 22, 11488, 7, 183, 13093, 75, 31, 773, 4531, 67, 165, 20, 8, 238, 11258, 20, 8, 1289, 918, 1138, 38, 14875, 16, 20, 6168, 26, 16, 608, 37, 344, 4723, 20, 10, 224, 6265, 29, 1254, 7, 1806, 2978, 32, 390, 4526, 20227, 59, 344, 5256, 20, 8, 365, 130, 20, 7901, 337, 12, 2840, 20, 8, 13, 20, 8, 9333, 20, 8, 46, 25, 22877, 4500, 20, 8, 130, 1754, 5588, 12, 4091, 20, 769, 3531, 7, 21370, 20, 10, 146, 1094, 22, 130, 6265, 21120, 16, 25350, 280, 22, 14, 12, 636, 13316, 20, 8, 197, 20, 12440, 13, 5407, 18780, 11, 20, 8, 71, 15, 22, 20, 31960, 215, 15872, 37, 3375, 31, 773, 22513, 20, 8, 238, 25679, 20, 8, 2132, 918, 8335, 20, 10, 224, 19318, 57, 82, 26, 139, 97, 326, 51, 22, 130, 228, 275, 104, 24, 18514, 20, 8, 13, 20, 3, 130, 391, 54, 22, 21019, 81, 188, 27, 113, 22, 424, 1699, 635, 16, 136, 7, 8111, 75, 16, 18271, 20, 10, 26217, 10481, 16, 846, 7, 80, 1138, 17, 22, 29, 277, 468, 20, 10, 299, 19620, 35, 33, 80, 547, 5713, 130, 7412, 57, 7, 183, 1801, 14, 750, 21, 10247, 31, 773, 664, 20, 8, 16, 344, 4723, 220, 5551, 197, 12, 514, 1211, 35, 7, 4135, 74, 773, 1373, 20, 10, 773, 146, 51, 22, 30, 67, 272, 51, 22, 56, 7065, 20, 8, 21, 26, 20, 8, 16, 344, 4723, 74, 773, 166, 15, 22, 4654, 20, 10, 224, 22360, 18, 1590, 33, 59, 29879, 8429, 5577, 2467, 31, 773, 664, 20, 8, 4135, 1103, 140, 22, 21, 2457, 25, 2453, 74, 773, 1373, 20, 10, 224, 1486, 15913, 57, 121, 85, 3234, 20, 8, 280, 22, 14, 85, 14653, 2344, 20, 8, 13, 701, 113, 22, 424, 11, 5071, 1291, 26, 262, 475, 20, 8, 130, 49, 7966, 14, 3563, 13, 14, 10799, 13572, 125, 36, 12, 1492, 20, 10, 2195, 623, 14, 59, 640, 23539, 12, 547, 11258, 6 ]

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

[ 5, 15, 22, 25, 17, 22, 541, 2816, 15, 22, 277, 20, 10, 978, 566, 264, 20, 10, 53, 9311, 7, 15, 22, 25, 19, 9316, 14, 29, 1246, 7299, 1093, 1356, 20, 8, 196, 26, 15, 22, 277, 9316, 29, 646, 7, 7288, 20, 10, 978, 566, 457, 20, 10, 43, 5306, 20530, 13, 6793, 18388, 3996, 19, 9316, 20, 8, 9312, 7, 12, 468, 10505, 35, 36, 12, 431, 20, 8, 156, 18, 506, 13, 185, 18, 6146, 51, 22, 130, 10230, 7429, 57, 3770, 27, 12, 145, 841, 89, 30, 18270, 13, 51, 22, 56, 895, 20, 8, 36, 439, 14, 541, 29, 646, 6952, 75, 7386, 16823, 7, 7288, 20, 10, 8720, 1422, 20, 10, 517, 7288, 26, 646, 8784, 20, 10, 10948, 455, 328, 20, 10, 300, 18285, 11, 24, 1772, 5987, 272, 26, 646, 8784, 20, 10, 978, 566, 565, 20, 10, 2359, 27, 187, 12, 632, 19, 2832, 45, 19, 8778, 11, 32, 23239, 312, 14, 12, 419, 21, 7288, 26, 646, 8784, 20, 8, 78, 419, 50, 1103, 99, 11672, 51, 22, 37, 3449, 7, 15, 22, 6063, 28, 1007, 18, 9316, 2996, 89, 1752, 20, 10, 978, 120, 2243, 20, 10, 177, 207, 23, 58, 11, 19, 2832, 5274, 7828, 11, 36, 15, 22, 9316, 13610, 20, 8, 3410, 312, 14, 29, 7369, 12313, 7, 12, 331, 24, 1678, 418, 20, 8, 15, 22, 1588, 21, 7288, 6150, 20786, 280, 22, 185, 16, 3457, 24, 3449, 17045, 137, 208, 130, 1103, 99, 3333, 20, 8, 119, 51, 22, 56, 187, 859, 17, 22, 267, 21502, 24, 3457, 17045, 894, 254, 7, 169, 23, 328, 272, 1727, 45, 10352, 761, 4282, 184, 1168, 162, 176, 15, 22, 9316, 13610, 20, 10, 978, 120, 3777, 20, 10, 2356, 419, 21, 7288, 27796, 57, 18, 2832, 31, 130, 196, 2498, 20, 8, 46, 18, 1305, 14, 15, 22, 8912, 20, 8, 54, 22, 56, 109, 21, 38, 20, 8, 37, 534, 20, 3, 24, 3449, 391, 45, 37, 1933, 32, 21, 1736, 18, 2135, 20, 8, 36, 15, 22, 9316, 13610, 21, 370, 20, 8, 14, 182, 51, 22, 56, 52, 22, 21, 187, 14608, 36, 1300, 137, 3398, 173, 20, 8, 33, 80, 25825, 13, 16, 5281, 7, 117, 5935, 11, 21, 2835, 45, 21, 6847, 20, 8, 45, 7, 117, 13388, 7, 410, 20, 8, 16, 21537, 49, 11071, 57, 37, 1752, 24, 13610, 26, 109, 2010, 80, 419, 20, 10, 978, 120, 3564, 20, 10, 43, 1933, 20, 8, 185, 205, 1568, 16, 13610, 20, 8, 13, 129, 205, 84, 18, 9744, 51, 22, 56, 8705, 4300, 25315, 11, 20, 8, 36, 14445, 3798, 12, 419, 13, 18, 1305, 20, 8, 13, 15204, 57, 3289, 23, 19344, 7, 12, 2498, 24, 79, 21, 85, 1590, 20, 10, 141, 3289, 23, 19344, 196, 2627, 36, 16, 1933, 13, 36, 16, 13610, 20, 8, 14, 182, 27, 359, 67, 240, 50, 13821, 45, 50, 1759, 6764, 137, 3398, 173, 56, 21, 196, 84, 4904, 20, 10, 978, 120, 2887, 20, 10, 43, 6 ]

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

[ 5, 16, 310, 348, 71, 139, 18457, 14, 19, 2774, 9875, 69, 22, 30, 14, 335, 16, 24911, 45, 87, 16, 23124, 7, 12, 8113, 19, 2088, 32, 12070, 50, 39, 97, 17, 23273, 18, 217, 11, 26, 1386, 424, 102, 19, 19, 1006, 169, 39, 19, 13892, 11, 77, 1006, 19, 1341, 3547, 45, 19, 408, 236, 408, 236, 26, 1386, 7, 608, 63, 1255, 19, 1476, 7, 7, 54, 22, 1031, 240, 784, 208, 424, 102, 100, 1539, 97, 100, 1251, 57, 107, 23, 179, 203, 381, 16, 381, 18, 1219, 20728, 45, 757, 12, 395, 1239, 258, 99, 600, 600, 969, 26, 18, 1255, 373, 74, 1291, 424, 102, 71, 71, 791, 275, 104, 27, 424, 102, 252, 55, 69, 22, 30, 39, 110, 430, 27, 203, 527, 27, 348, 7229, 7, 183, 1586, 113, 22, 1551, 18, 217, 11, 32, 5030, 551, 13, 13, 100, 52, 22, 3009, 39, 110, 1120, 56, 109, 21, 38, 275, 104, 39, 430, 56, 109, 21, 38, 121, 18, 17982, 17, 22, 1962, 17, 22, 28229, 218, 7, 197, 478, 69, 22, 30, 29, 475, 160, 424, 102, 160, 71, 358, 23, 160, 71, 1323, 140, 22, 9939, 110, 36, 415, 424, 102, 100, 529, 51, 22, 56, 109, 38, 39, 600, 7, 217, 11, 906, 102, 87, 100, 1103, 139, 1282, 14, 348, 7, 7, 140, 22, 9939, 46, 12, 6104, 211, 13, 16, 13, 16, 10370, 2079, 1308, 57, 3873, 38, 102, 1291, 7, 7, 314, 110, 100, 107, 39, 21, 13049, 25, 14, 2077, 557, 45, 305, 203, 54, 22, 30, 39, 148, 575, 77, 203, 107, 49, 2674, 77, 1006, 26, 16, 310, 56, 109, 20, 3, 21, 391, 38, 121, 18, 17982, 17, 22, 1962, 63, 557, 7, 3002, 13, 21, 553, 221, 18, 1846, 557, 13, 238, 1843, 82, 56, 109, 38, 275, 104, 271, 7, 3004, 33, 689, 2919, 1255, 51, 22, 100, 38, 373, 56, 109, 38, 2590, 117, 2919, 3004, 41, 6156, 2124, 109, 21, 38, 195, 32, 52, 22, 88, 39, 7, 3004, 11796, 71, 1814, 51, 22, 1006, 18, 1051, 69, 22, 30, 466, 18, 1051, 27, 51, 22, 88, 18, 1255, 71, 1814, 69, 22, 30, 15, 22, 20, 12839, 373, 109, 38, 39, 17, 22, 2422, 26, 49, 7298, 17, 22, 2422, 4065, 7229, 424, 102, 25, 2159, 14, 3669, 10713, 332, 14, 17203, 23, 8196, 332, 109, 38, 366, 24, 79, 1006, 69, 22, 30, 69, 22, 30, 29, 304, 282, 450, 74, 13, 69, 22, 40, 51, 22, 864, 203, 2346, 13, 13, 104, 14, 17203, 424, 102, 17203, 104, 52, 22, 30, 39, 148, 390, 200, 13535, 35, 29, 304, 4937, 14, 183, 1130, 82, 107, 15, 22, 99, 9164, 13, 69, 22, 40, 39, 71, 1123, 39, 110, 48, 48, 611, 19341, 93, 143, 28, 18, 3598, 17, 22, 17203, 185, 2453, 45, 1435, 557, 24, 854, 424, 102, 69, 22, 30, 2997, 11796, 48, 10347, 3291, 169, 77, 1006, 71, 529, 6 ]

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

[ 5, 2123, 29, 8580, 332, 23, 1566, 56, 4439, 305, 25, 909, 424, 102, 1166, 7, 8120, 305, 6156, 203, 220, 11796, 56, 5434, 417, 305, 6156, 56, 768, 39, 7, 6519, 527, 27, 100, 16, 2522, 39, 77, 1006, 100, 49, 831, 51, 22, 56, 651, 14, 21, 298, 46, 29, 689, 3001, 689, 45, 46, 29, 547, 3416, 11016, 102, 45, 46, 29, 547, 24317, 424, 102, 45, 29, 117, 5845, 36, 176, 424, 102, 25, 909, 3023, 305, 21608, 56, 30, 208, 56, 109, 228, 19, 21736, 11, 11796, 305, 56, 30, 275, 104, 56, 30, 37, 23, 1566, 24, 21736, 56, 1065, 39, 21, 205, 77, 424, 102, 417, 51, 22, 14, 608, 100, 220, 608, 627, 14, 359, 23, 1268, 51, 22, 167, 44, 23, 51, 22, 14, 909, 277, 13, 18, 2774, 613, 52, 22, 613, 39, 7147, 11, 2098, 100, 48, 4439, 48, 445, 29, 6519, 7, 417, 48, 52, 22, 445, 39, 7, 6519, 100, 1767, 39, 326, 671, 208, 27, 172, 12, 2384, 17, 22, 23080, 184, 21434, 679, 100, 30, 7019, 7, 335, 671, 25, 909, 38, 29, 6519, 671, 56, 52, 22, 38, 39, 7, 6519, 153, 100, 38, 84, 753, 901, 51, 22, 100, 100, 30, 12, 706, 424, 102, 16, 533, 9850, 160, 100, 1710, 69, 22, 30, 195, 16, 2513, 19118, 408, 236, 408, 236, 906, 102, 87, 679, 424, 102, 14, 2513, 19118, 7457, 16, 1166, 17, 22, 25, 3023, 45, 16, 1166, 17, 22, 25, 169, 23, 10106, 4418, 143, 424, 102, 38, 29, 6519, 44, 32, 2086, 14, 37, 84, 1016, 69, 22, 30, 27, 753, 901, 27, 20, 3, 18, 18, 169, 23, 10106, 4418, 592, 391, 55, 195, 474, 13, 365, 20126, 195, 7, 182, 21, 182, 195, 154, 906, 102, 87, 44, 55, 541, 32, 812, 205, 19, 13332, 69, 22, 30, 14, 335, 18, 1166, 17, 22, 7626, 18, 1166, 7, 8120, 13, 7, 12196, 10526, 11, 13, 18, 303, 7, 1561, 104, 19, 19, 19, 607, 32, 32, 52, 22, 88, 39, 243, 23, 12527, 424, 102, 812, 49, 1175, 119, 6519, 13, 2118, 22, 56, 109, 768, 41, 44, 4414, 7169, 1089, 424, 102, 32, 186, 414, 424, 102, 275, 69, 22, 186, 2599, 2132, 44, 51, 22, 100, 140, 22, 38, 4102, 33, 18, 13332, 69, 22, 30, 16, 866, 24, 336, 19, 13332, 32, 140, 22, 38, 4102, 203, 38, 102, 305, 74, 424, 102, 3758, 44, 51, 22, 100, 107, 21, 335, 71, 1814, 275, 104, 27, 109, 21, 38, 271, 113, 22, 1551, 3440, 169, 71, 1306, 335, 29, 18222, 13, 71, 140, 22, 21, 2201, 41, 71, 50, 1123, 104, 39, 3443, 56, 109, 38, 17, 22, 1255, 21, 134, 2453, 3001, 2919, 74, 38, 102, 169, 39, 148, 169, 39, 148, 1525, 45, 2034, 12528, 169, 74, 424, 102, 236, 71, 1814, 51, 22, 100, 4018, 28, 18, 3148, 3001, 2919, 26, 689, 23, 18366, 23, 13345, 38, 102, 6156, 6 ]

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

[ 5, 704, 1822, 5338, 3407, 118, 20, 10, 463, 16, 350, 397, 5733, 20, 8, 12, 3118, 196, 2276, 14, 15, 22, 15358, 19, 1085, 13, 19, 2486, 6575, 17, 22, 11363, 722, 17932, 14, 15, 22, 570, 491, 20, 10, 120, 20, 10, 61, 1459, 26661, 72, 289, 14, 15, 22, 20, 11089, 15119, 19, 1085, 45, 19, 2486, 6575, 17, 22, 11363, 722, 169, 17932, 14, 15, 22, 570, 491, 14, 20593, 14, 12, 3118, 20, 10, 181, 16, 173, 17, 22, 29, 1276, 15358, 20, 8, 12, 2489, 7, 12, 1084, 7324, 30, 38, 2925, 9339, 20, 8, 110, 809, 20, 8, 36, 29, 995, 8396, 36, 12, 1609, 36, 25, 2045, 14, 15, 22, 20, 11089, 19, 1459, 26661, 72, 20, 10, 132, 909, 13674, 122, 21, 2310, 20, 8, 185, 205, 95, 10780, 14, 15, 22, 20, 11089, 36, 221, 18, 1459, 26661, 72, 20, 8, 16, 4508, 361, 4949, 194, 1016, 12, 2278, 20, 8, 36, 16, 599, 27931, 20, 8, 7, 12, 636, 9555, 14, 285, 340, 20, 10, 126, 20, 10, 229, 15358, 54, 22, 14816, 14, 12, 3118, 155, 51, 22, 14, 197, 11745, 13, 79, 4313, 911, 3762, 32, 2996, 95, 4173, 11, 14, 12, 737, 7, 15, 22, 15358, 20, 8, 26350, 701, 15, 22, 6296, 17, 22, 15358, 4260, 29, 2279, 15944, 7, 169, 23, 8864, 7, 15, 22, 29, 45, 7, 247, 16335, 209, 27, 18, 16335, 455, 20, 8, 1422, 20, 8, 2682, 13, 4144, 20, 10, 161, 20, 10, 61, 5970, 17, 22, 15358, 55, 16654, 687, 24, 599, 7, 12, 1111, 633, 20, 10, 978, 694, 12909, 11, 6174, 1477, 50, 107, 99, 6780, 35, 14, 15, 22, 6033, 7, 12, 3118, 20, 10, 978, 760, 11005, 21, 2310, 118, 20, 10, 53, 3118, 122, 296, 21, 2310, 16, 4508, 361, 4949, 194, 1016, 12, 737, 14, 20, 3, 740, 391, 221, 18, 1459, 26661, 72, 14, 12, 3118, 17, 22, 20, 26954, 13, 221, 18, 1459, 26661, 72, 14, 12, 3118, 7, 210, 2996, 6687, 89, 6296, 7, 25998, 20, 8, 17, 22, 18176, 20, 8, 17, 22, 20, 11037, 45, 17, 22, 15358, 20, 10, 120, 20, 10, 181, 16, 173, 17, 22, 25, 6777, 45, 17, 22, 29, 2362, 4312, 17, 22, 11363, 722, 169, 14146, 37, 5432, 118, 20, 8, 12, 3118, 122, 296, 21, 2310, 3835, 37, 5432, 118, 20, 8, 45, 16, 4508, 361, 4949, 194, 1016, 12, 737, 7, 4161, 7, 15, 22, 6296, 7, 25998, 20, 8, 17, 22, 18176, 20, 8, 17, 22, 20, 11037, 45, 17, 22, 15358, 36, 285, 6777, 45, 36, 78, 2362, 4312, 17, 22, 11363, 722, 20, 8, 110, 78, 737, 30, 24907, 20, 10, 978, 350, 1113, 2677, 240, 442, 118, 20, 10, 147, 250, 26661, 35, 107, 9776, 12, 3118, 14, 79, 310, 185, 15, 22, 20, 16195, 17, 22, 25, 1775, 7, 117, 128, 14, 1620, 7, 12, 737, 17, 22, 2748, 21, 2310, 7, 12, 3118, 26, 18657, 250, 26661, 35, 20, 8, 36, 9555, 6 ]

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

[ 5, 21, 3811, 103, 2017, 4778, 443, 20, 10, 178, 30, 10458, 28, 15, 9, 3218, 20, 8, 82, 25, 19504, 137, 13, 275, 16, 6131, 7, 59, 11, 6491, 6718, 162, 17, 9, 25, 1141, 14, 15, 9, 277, 7, 15, 9, 8055, 20, 8, 25612, 18, 20820, 11, 20, 8, 390, 2014, 3517, 4285, 176, 18, 3296, 20, 8, 100, 30, 14875, 46, 129, 20, 8, 100, 1374, 35, 14, 5798, 23, 184, 9, 15487, 20, 8, 7, 67, 240, 7, 67, 1268, 20, 8, 100, 52, 9, 38, 51, 9, 14, 49, 1165, 97, 20, 10, 178, 30, 980, 20, 8, 100, 30, 2477, 20, 8, 56, 84, 1322, 225, 70, 54, 9, 20, 15951, 6784, 20, 10, 892, 23, 7176, 30, 27324, 7, 129, 20, 10, 70, 49, 1943, 430, 14, 12, 8670, 20, 10, 70, 30, 14, 12, 443, 20, 8, 7149, 36, 750, 20, 8, 18, 2164, 28, 85, 1590, 20, 10, 70, 651, 7, 4852, 27, 16, 5542, 5540, 6123, 186, 25, 3311, 20, 8, 16, 217, 75, 248, 29, 4555, 20, 10, 70, 28603, 49, 52, 8247, 21, 8228, 24, 5920, 20, 10, 70, 30, 7120, 13, 25, 154, 29294, 27, 18, 209, 52, 9, 109, 18007, 39, 1726, 20, 8, 21, 1882, 28, 12, 1492, 20, 10, 70, 15198, 80, 1138, 36, 16, 4205, 7, 80, 18757, 31, 47, 986, 2730, 87, 27, 69, 9, 30, 15, 9, 2813, 76, 70, 219, 598, 36, 16, 2888, 20, 10, 65, 101, 43, 2888, 30, 29, 306, 7, 20, 6697, 2955, 122, 18, 15, 959, 3816, 11, 5098, 20, 10, 101, 531, 1138, 601, 20, 8, 119, 104, 15, 9, 4880, 20, 10, 70, 30, 2377, 790, 143, 20, 8, 14, 12, 478, 17, 9, 25, 2756, 7221, 32, 1206, 16, 418, 13834, 381, 80, 1392, 20, 10, 60, 9, 4383, 17, 9, 185, 20, 8, 56, 52, 9, 109, 14819, 41, 20, 10, 43, 217, 75, 248, 52, 9, 30, 41, 12, 886, 20, 10, 20, 3, 70, 391, 30, 15869, 2409, 20, 8, 13081, 79, 7, 59, 542, 20, 8, 16, 27013, 33, 12, 2443, 20, 8, 3983, 12861, 19, 8576, 7, 80, 3920, 20, 8, 13, 49, 1754, 9241, 16, 12403, 17642, 20, 8, 21, 1004, 2306, 20, 10, 70, 30, 15850, 28, 12, 27792, 17, 9, 29, 20700, 122, 18, 15908, 11, 20, 10, 61, 2219, 19, 15, 959, 3816, 11, 3712, 5013, 4572, 82, 19, 12086, 20, 10, 43, 6740, 3327, 98, 5573, 5381, 19172, 20, 8, 56, 1039, 29, 3713, 137, 56, 109, 38, 19, 5364, 558, 20, 10, 132, 2919, 23, 1626, 2571, 25115, 31, 56, 30, 1137, 82, 25, 20, 17757, 20, 10, 43, 28124, 648, 3282, 20, 8, 15, 9, 940, 50, 15, 9, 2753, 1115, 39, 20, 10, 7333, 50, 54, 9, 6937, 7, 129, 20, 8, 56, 52, 9, 38, 487, 7, 370, 20, 10, 70, 107, 104, 49, 598, 19, 7451, 23, 1626, 5540, 7534, 20, 8, 13, 19, 24295, 11, 24, 217, 75, 248, 20, 8, 46, 89, 7549, 6 ]

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

[ 5, 41, 112, 305, 26, 18, 1196, 19, 303, 408, 236, 408, 236, 305, 26, 2334, 14, 14, 12, 304, 17, 22, 12763, 17, 22, 864, 48, 30, 23, 272, 27, 30, 23, 272, 51, 22, 86, 84, 600, 26, 18, 1262, 14, 17203, 74, 20728, 424, 102, 100, 49, 25660, 195, 87, 890, 100, 52, 22, 40, 371, 4546, 1006, 71, 1123, 27, 12, 395, 19, 3097, 424, 102, 36, 415, 64, 100, 38, 5767, 2453, 128, 188, 17, 22, 561, 25, 1642, 100, 186, 28, 25, 117, 1305, 119, 2813, 435, 20, 16980, 11, 435, 597, 27, 44, 187, 39, 112, 703, 17, 22, 1168, 100, 38, 5767, 2453, 128, 188, 17, 22, 561, 25, 1642, 424, 102, 100, 38, 1432, 542, 679, 6156, 100, 49, 529, 87, 1291, 20728, 6156, 679, 100, 30, 4546, 100, 17931, 25, 1642, 48, 611, 87, 48, 611, 87, 8812, 69, 22, 385, 79, 26, 64, 16, 399, 424, 102, 203, 220, 69, 22, 40, 69, 22, 40, 39, 77, 48, 445, 1432, 51, 22, 7500, 2453, 128, 26, 25, 1642, 69, 22, 40, 69, 22, 40, 542, 11796, 74, 69, 22, 40, 275, 104, 542, 11796, 74, 208, 51, 22, 86, 38, 606, 18, 31723, 11, 13, 79, 2472, 32, 1069, 19, 3097, 79, 7, 306, 208, 424, 102, 332, 69, 22, 385, 498, 424, 102, 348, 71, 235, 10079, 247, 168, 37, 336, 17, 22, 388, 11030, 424, 102, 424, 102, 183, 2711, 30, 17, 22, 878, 5528, 14352, 21071, 77, 1473, 21, 134, 13, 100, 139, 16802, 110, 113, 22, 1579, 6660, 268, 107, 23, 179, 424, 102, 71, 89, 1551, 230, 29, 168, 107, 23, 179, 27, 110, 113, 22, 1579, 6660, 424, 102, 113, 22, 3580, 424, 41, 1012, 25, 1642, 424, 102, 77, 18, 607, 17, 22, 12763, 88, 271, 7, 430, 14, 548, 19, 3097, 45, 208, 219, 99, 29979, 1148, 219, 99, 424, 102, 12, 395, 24, 1642, 20, 3, 203, 391, 64, 38, 21981, 112, 112, 4736, 48, 4389, 100, 228, 117, 1341, 1305, 424, 102, 39, 17, 22, 248, 39, 17, 22, 16980, 366, 424, 102, 100, 228, 29, 727, 2340, 203, 100, 228, 29, 727, 2340, 203, 69, 22, 40, 79, 597, 100, 1777, 39, 28, 12, 2340, 11796, 74, 208, 332, 48, 10007, 275, 104, 38, 102, 1291, 51, 22, 86, 860, 952, 23, 569, 97, 38, 102, 1291, 41, 38, 102, 1291, 38, 102, 1291, 203, 113, 22, 11592, 27, 1291, 679, 6156, 48, 3392, 424, 102, 100, 49, 7172, 7, 44, 51, 22, 86, 38, 100, 30, 87, 100, 30, 87, 22387, 1291, 100, 38, 19, 765, 3097, 6156, 16, 399, 424, 102, 203, 3031, 7, 64, 1006, 219, 39, 368, 99, 112, 368, 11201, 169, 41, 1291, 13, 275, 100, 230, 424, 102, 100, 50, 100, 648, 97, 41, 26, 158, 51, 22, 86, 1065, 97, 41, 26, 18, 607, 17, 22, 12763, 1291, 51, 22, 40, 23, 272, 51, 22, 86, 657, 335, 36, 100, 6 ]

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

[ 5, 13, 17, 22, 4375, 24, 1030, 13, 36, 18, 2219, 2727, 31, 67, 16, 4184, 774, 9170, 1046, 172, 18, 9619, 7, 15, 22, 4375, 24, 1046, 280, 22, 14, 59, 324, 17, 22, 20, 24469, 46, 16, 28202, 2846, 9170, 6618, 20, 8, 67, 16, 28202, 2846, 9170, 6618, 280, 22, 14, 59, 324, 17, 22, 20, 24469, 46, 16, 4184, 774, 9170, 1030, 20, 8, 13, 67, 16, 4184, 774, 9170, 1030, 280, 22, 14, 59, 324, 17, 22, 20, 24469, 46, 18, 9619, 17, 22, 4375, 24, 1030, 20, 10, 6768, 1422, 31, 26974, 13, 2196, 19, 11350, 7, 5202, 17932, 36, 12, 3118, 978, 4144, 31, 12852, 7, 15, 22, 1945, 7, 15016, 118, 20, 10, 61, 581, 7, 12, 1609, 20, 8, 1032, 13, 36, 15, 22, 10205, 7, 12, 1609, 20, 8, 20, 10585, 15, 22, 1945, 7, 15016, 20, 8, 1276, 27, 11114, 28, 18, 1927, 14954, 24, 850, 7, 2262, 13, 206, 45, 7, 15, 22, 1639, 7, 1265, 2096, 7, 6337, 20, 8, 26, 12, 4182, 20, 8, 12, 540, 13, 15, 22, 2196, 1554, 19, 11350, 7, 5202, 17932, 36, 12, 655, 3118, 20, 10, 120, 20, 10, 94, 804, 20, 8, 18, 581, 7, 12, 1609, 3078, 17, 22, 770, 41, 7, 13850, 27, 18, 508, 55, 14849, 72, 20, 8, 154, 13897, 45, 267, 944, 14034, 9683, 20, 10, 43, 1215, 17, 22, 508, 2342, 11529, 11, 50, 6493, 99, 23282, 26, 50, 39, 364, 7, 1177, 7, 4182, 13, 7, 540, 45, 26, 21, 23341, 98, 15, 22, 20, 4979, 20, 10, 126, 20, 10, 1641, 15, 22, 1114, 19, 11350, 7, 5202, 17932, 45, 19, 3011, 169, 18326, 20, 8, 45, 19, 3011, 10973, 45, 9022, 72, 1039, 761, 14518, 20, 8, 18, 581, 7, 20, 3, 12, 1609, 391, 26155, 12, 3272, 51, 22, 252, 20709, 33, 114, 11350, 13, 3011, 294, 17, 22, 7262, 89, 1114, 13, 15, 22, 6003, 19, 1177, 7, 4182, 13, 7, 540, 20, 10, 460, 484, 1512, 361, 1578, 114, 1177, 21, 587, 19, 550, 508, 2342, 1518, 20, 10, 978, 448, 31, 3859, 586, 7424, 19, 1177, 7, 4182, 13, 7, 540, 118, 20, 10, 6174, 1099, 7, 12, 655, 3118, 50, 258, 1787, 5971, 45, 16031, 14, 12, 9401, 45, 63, 563, 9157, 11, 19, 1085, 29508, 11, 1935, 14, 15, 22, 20382, 13, 14, 15, 22, 9486, 20, 8, 14, 12, 4182, 13, 14, 12, 540, 19, 1106, 11319, 21175, 28, 18, 1789, 9721, 7, 89, 9401, 45, 7, 89, 9456, 691, 1408, 51, 22, 12681, 28, 12, 3118, 33, 16, 283, 7, 12, 886, 45, 37, 283, 51, 22, 88, 121, 18, 1085, 14, 44, 27, 159, 17428, 2612, 111, 21, 1546, 886, 3835, 14, 12, 3118, 33, 16, 283, 7, 12, 886, 20, 10, 120, 20, 10, 61, 1177, 7, 4182, 13, 7, 540, 16631, 26, 12, 1546, 886, 13, 951, 8396, 11, 26, 18, 1789, 9721, 7, 12, 9456, 691, 670, 99, 16085, 20, 8, 294, 7, 3320, 12, 4182, 13, 6 ]

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

[ 5, 100, 1206, 38, 102, 1291, 27, 275, 100, 902, 69, 22, 40, 39, 12, 104, 475, 13, 110, 48, 7, 3493, 135, 335, 617, 475, 14, 1987, 22, 58, 32, 48, 30, 1970, 36, 415, 1291, 30, 23, 272, 27, 48, 761, 12010, 6773, 3247, 45, 87, 851, 16, 314, 74, 38, 102, 48, 7229, 203, 203, 140, 22, 7132, 4148, 35, 25, 154, 41, 527, 27, 17558, 424, 102, 71, 3035, 3247, 13, 113, 22, 5851, 400, 1450, 75, 13, 54, 22, 66, 38, 39, 16, 1450, 74, 54, 22, 66, 38, 39, 16, 1450, 208, 113, 22, 103, 1306, 348, 275, 100, 30, 82, 203, 109, 38, 1987, 22, 58, 26, 424, 102, 113, 22, 11101, 5723, 48, 3247, 135, 74, 1291, 208, 48, 419, 6773, 14, 1987, 22, 58, 26, 424, 102, 74, 1291, 14, 32, 48, 419, 6773, 74, 14, 29, 5887, 424, 102, 617, 475, 82, 203, 527, 27, 527, 27, 71, 10844, 11, 19, 16161, 71, 791, 1291, 208, 203, 140, 22, 7132, 4148, 98, 242, 13, 27, 48, 17712, 275, 104, 129, 3247, 27, 17, 22, 1947, 424, 102, 27, 48, 5171, 26, 851, 16, 314, 20728, 110, 69, 22, 40, 39, 368, 703, 208, 71, 113, 22, 1250, 400, 851, 314, 140, 102, 110, 69, 22, 40, 703, 6156, 169, 48, 611, 69, 22, 40, 7019, 17, 22, 5433, 77, 110, 69, 22, 40, 39, 368, 703, 113, 22, 5851, 400, 851, 314, 408, 236, 1291, 30, 23, 272, 51, 22, 167, 90, 1130, 69, 22, 40, 112, 645, 17, 22, 561, 29, 727, 7623, 74, 6156, 203, 48, 621, 1291, 13, 17, 22, 561, 7, 15, 22, 14587, 74, 1291, 48, 10007, 27, 69, 22, 40, 645, 45, 87, 74, 20728, 71, 1123, 39, 305, 77, 30, 23, 272, 27, 48, 3392, 27, 69, 22, 40, 29, 475, 1357, 45, 39, 74, 110, 100, 1439, 14, 16, 825, 1291, 45, 757, 45, 757, 30, 23, 272, 27, 48, 49, 6773, 4761, 14, 44, 51, 22, 86, 14, 44, 51, 22, 86, 2384, 20, 3, 15, 22, 14587, 391, 36, 415, 74, 51, 22, 86, 12, 7216, 107, 23, 179, 51, 22, 86, 220, 12794, 19, 634, 11796, 74, 20728, 6156, 69, 22, 40, 44, 51, 22, 86, 679, 48, 445, 48, 109, 38, 1120, 27, 20, 16925, 23, 27, 90, 2711, 30, 612, 45, 74, 71, 235, 39, 9416, 38, 102, 305, 424, 102, 48, 52, 22, 6031, 39, 9416, 74, 169, 13, 275, 48, 445, 424, 102, 275, 48, 27004, 29, 1692, 36, 415, 30, 23, 272, 27, 1006, 51, 22, 40, 23, 272, 51, 22, 40, 23, 272, 27, 48, 9529, 87, 24175, 82, 1634, 13, 285, 3798, 1006, 74, 20728, 71, 7827, 195, 24, 1634, 1371, 195, 24, 1634, 1371, 74, 1371, 1371, 1291, 1291, 48, 17712, 74, 1291, 671, 203, 74, 6156, 71, 1123, 39, 71, 529, 69, 22, 40, 41, 10450, 71, 529, 1006, 71, 1123, 39, 13, 21, 553, 48, 17712, 24175, 24, 6 ]

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

[ 5, 82, 12, 576, 20863, 25, 1640, 3114, 20, 8, 2663, 129, 67, 549, 603, 3009, 1445, 36, 12, 7718, 1358, 17, 22, 29, 69, 25070, 4980, 51, 22, 56, 1474, 81, 21, 811, 2116, 20, 10, 70, 26737, 80, 8910, 20, 8, 17722, 20, 8, 952, 2236, 2139, 137, 365, 20, 8, 49, 30395, 14, 6353, 20, 8, 1339, 18330, 37, 2432, 7, 569, 9133, 17, 22, 4762, 20, 8, 56, 230, 14, 15695, 17, 22, 29, 1018, 25, 154, 3950, 31, 773, 73, 22, 30, 4885, 20, 8, 48, 445, 1779, 6808, 222, 20, 8, 48, 74, 225, 178, 529, 195, 1987, 22, 58, 26, 48, 1944, 14, 5551, 20, 8, 100, 50, 698, 371, 370, 32, 48, 8436, 14, 2035, 20, 10, 43, 194, 49, 16, 504, 242, 20, 10, 245, 1141, 7, 12, 614, 7, 12, 1121, 6123, 11252, 20, 8, 18, 2353, 24, 8347, 3727, 2800, 5187, 1261, 613, 221, 10860, 137, 13, 20, 8, 37, 23, 1566, 7, 12, 338, 9516, 19, 20, 23906, 11, 20, 8, 16, 69, 202, 1050, 2491, 7, 12, 329, 614, 12174, 918, 66, 10332, 20, 8, 28, 16, 2828, 19467, 20, 8, 29, 1846, 23, 218, 68, 7, 14847, 20, 10, 2663, 20, 8, 32, 54, 22, 186, 21665, 37, 23, 1566, 7, 441, 11012, 20, 8, 14839, 11, 7, 6008, 11, 20, 8, 54, 22, 13286, 20, 8, 37, 7332, 24, 14326, 20, 8, 33, 19, 3623, 11, 7, 7323, 144, 13929, 559, 19, 24385, 11, 15, 7127, 11, 7, 1495, 20, 8, 1140, 242, 21, 15, 22, 3218, 679, 20, 8, 122, 18, 7220, 13920, 20, 8, 12707, 33, 18, 20171, 2828, 556, 20, 8, 37, 1240, 24, 2151, 2160, 20, 10, 70, 5544, 36, 54, 22, 5848, 148, 20, 8, 18, 979, 13505, 11, 33, 29, 19, 12971, 11, 6117, 11, 7, 1916, 32, 13806, 111, 18, 117, 11083, 7, 6321, 13, 1170, 7, 18, 9443, 20, 10, 15695, 129, 13021, 44, 51, 22, 56, 13426, 332, 23, 11932, 20, 10, 773, 20, 3, 73, 22, 391, 30, 44, 10703, 7, 1303, 2951, 1567, 20, 8, 230, 16, 5299, 119, 1020, 20, 10, 70, 30, 20, 8, 26, 890, 20, 8, 28, 617, 27333, 20, 8, 14, 182, 51, 22, 56, 52, 22, 1932, 677, 12, 789, 46, 18, 14347, 7, 12, 7323, 63, 20548, 11, 225, 133, 22, 1551, 487, 7, 129, 26, 29, 1591, 20, 10, 146, 56, 18312, 27, 59, 1984, 1303, 2951, 1567, 603, 1432, 20, 8, 25, 1010, 20, 8, 36, 29, 20017, 20, 8, 28, 25, 10516, 7, 24403, 20, 8, 13, 51, 22, 56, 28442, 33, 16, 217, 75, 248, 20, 8, 7329, 20, 10, 844, 100, 2317, 81, 15, 22, 4525, 14, 15, 22, 2456, 20, 8, 56, 17026, 5368, 20, 8, 56, 5560, 81, 16, 11046, 63, 15481, 11, 20, 10, 70, 21, 13669, 18, 16727, 13351, 1316, 20, 8, 18, 18313, 17, 22, 29, 14279, 7, 1166, 20, 8, 18073, 46, 19, 20, 23173, 11, 17, 22, 20, 31335, 20, 8, 37, 907, 7, 6 ]

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

[ 5, 13, 100, 38, 4347, 1148, 46, 12, 2999, 2933, 7, 4681, 26, 97, 29, 329, 2134, 424, 102, 110, 48, 2182, 29, 2134, 1038, 37, 393, 19, 903, 3160, 1291, 208, 424, 102, 3114, 14, 44, 2805, 23, 1268, 100, 38, 95, 7019, 7, 1251, 221, 18, 2419, 7, 191, 13, 7, 408, 236, 408, 236, 7, 49, 25437, 26, 2472, 3470, 14, 99, 1291, 37, 393, 1601, 110, 48, 2182, 38, 102, 1291, 48, 445, 1291, 69, 22, 40, 810, 69, 22, 40, 29, 4592, 7, 3160, 48, 445, 1779, 314, 19, 19, 2435, 28, 12, 468, 104, 7, 1132, 74, 20728, 6156, 203, 2124, 28, 12, 468, 7, 1132, 679, 424, 102, 466, 63, 8911, 27877, 906, 102, 6156, 100, 100, 2047, 46, 19, 3847, 6215, 13, 46, 19, 10246, 208, 51, 22, 2306, 100, 2123, 79, 14, 12, 697, 408, 236, 408, 236, 104, 14, 100, 1439, 14, 17203, 100, 49, 2481, 7, 6156, 14, 17203, 100, 49, 2481, 39, 17, 22, 5931, 11, 77, 1006, 195, 100, 54, 23, 1291, 79, 30, 4203, 2565, 150, 26072, 275, 104, 77, 17, 22, 864, 18, 327, 27, 52, 23, 27, 100, 8487, 37, 1969, 252, 5064, 46, 19, 10246, 17, 22, 864, 18, 327, 1291, 13, 203, 69, 22, 40, 48, 10007, 203, 87, 74, 208, 203, 2124, 203, 203, 10646, 12, 383, 24, 191, 13, 16, 5160, 69, 22, 40, 10627, 69, 22, 40, 1291, 13, 26, 18, 2959, 541, 23, 2570, 69, 22, 40, 627, 38, 102, 6156, 69, 22, 40, 69, 22, 40, 1006, 26, 64, 26, 64, 203, 203, 1976, 203, 203, 1976, 39, 1784, 100, 38, 271, 7, 191, 14, 97, 24742, 110, 48, 2182, 144, 203, 38, 3111, 271, 69, 22, 40, 28, 121, 18, 2704, 144, 3470, 18, 20, 3, 18, 9618, 11, 391, 55, 28378, 110, 48, 2182, 18, 11260, 7, 2598, 13, 79, 55, 2832, 14, 1291, 15, 22, 5931, 332, 208, 1291, 26, 541, 18, 506, 7, 191, 670, 99, 41, 3908, 11, 527, 27, 69, 22, 40, 37, 5160, 332, 69, 22, 40, 37, 1291, 408, 236, 408, 236, 1291, 424, 102, 30, 23, 272, 27, 30, 23, 272, 27, 30, 23, 272, 51, 22, 103, 38, 48, 445, 268, 424, 19, 3091, 7, 3509, 11, 45, 19, 634, 82, 203, 74, 1291, 109, 38, 424, 247, 3509, 11, 1291, 28, 238, 1516, 113, 22, 105, 424, 247, 3509, 11, 48, 445, 424, 247, 3509, 11, 13, 450, 203, 54, 22, 40, 10001, 86, 23, 450, 203, 54, 22, 40, 677, 424, 102, 30, 23, 272, 27, 48, 425, 8804, 74, 5739, 135, 203, 203, 2783, 195, 19, 25, 154, 7, 1091, 11155, 1335, 122, 104, 993, 16, 815, 527, 27, 109, 38, 195, 18, 10552, 7, 12, 3509, 1291, 13, 18, 169, 424, 102, 10552, 208, 424, 102, 1291, 77, 203, 2892, 275, 104, 19, 14027, 1289, 1291, 56, 21, 8908, 195, 424, 102, 207, 3499, 11, 45, 4518, 7, 1291, 1669, 191, 1291, 6 ]

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

[ 5, 7, 20, 11898, 9191, 408, 236, 408, 236, 30, 23, 272, 27, 1006, 450, 30, 23, 272, 27, 48, 20814, 316, 26, 424, 102, 26, 424, 102, 9017, 36, 415, 424, 102, 30, 23, 272, 27, 69, 22, 40, 7, 38, 102, 679, 424, 102, 7578, 74, 408, 236, 408, 236, 424, 102, 7, 12, 1967, 45, 30, 23, 272, 27, 109, 38, 29, 109, 38, 29, 1254, 7, 6156, 37, 324, 7, 518, 20, 11898, 9191, 3478, 424, 102, 1291, 69, 22, 40, 408, 236, 600, 573, 69, 22, 40, 498, 112, 4437, 11796, 408, 236, 408, 236, 36, 415, 424, 102, 25, 940, 32, 16326, 424, 102, 32, 50, 16326, 39, 18, 2960, 23, 305, 100, 4081, 27, 16, 2960, 23, 49, 16326, 21, 21, 3861, 18, 7237, 424, 102, 21, 188, 21, 3861, 12, 1078, 37, 5363, 100, 12, 6248, 242, 25, 79, 344, 154, 1006, 408, 236, 408, 236, 44, 51, 22, 86, 4081, 7457, 23, 79, 23, 167, 23, 7263, 21, 1291, 1291, 1291, 20, 11898, 9191, 597, 11796, 153, 71, 129, 7869, 25, 1709, 23, 25960, 28, 12, 2840, 424, 102, 71, 16, 1610, 23351, 71, 129, 20, 6723, 33, 18, 1602, 11, 13, 71, 129, 1610, 335, 25, 2960, 23, 1006, 69, 22, 40, 498, 121, 18, 3426, 17, 22, 16625, 55, 20, 11898, 9191, 11, 13, 1006, 55, 484, 143, 728, 16224, 7, 468, 112, 819, 1006, 408, 236, 408, 236, 46, 19, 1709, 23, 25960, 46, 18, 5670, 46, 16, 4143, 46, 18, 8217, 27, 13, 48, 445, 19, 1709, 23, 25960, 69, 22, 40, 450, 203, 19, 74, 1291, 71, 1306, 48, 2163, 1006, 38, 102, 48, 21, 445, 332, 74, 1291, 1291, 6156, 71, 2047, 373, 108, 11796, 38, 102, 1291, 17, 22, 1259, 1291, 1291, 305, 36, 415, 26, 97, 335, 25, 38, 12, 1078, 87, 6171, 424, 102, 408, 236, 408, 236, 113, 22, 6723, 33, 12, 1078, 46, 203, 424, 102, 26, 97, 335, 16, 2960, 23, 36, 415, 71, 4888, 20, 3, 12, 1078, 391, 46, 203, 424, 102, 26, 97, 335, 25, 140, 54, 424, 102, 71, 129, 7869, 618, 33, 12, 3002, 7, 12, 1078, 527, 27, 69, 22, 40, 19, 2794, 112, 112, 3066, 1006, 424, 102, 109, 38, 39, 25, 1709, 23, 25960, 26, 262, 424, 102, 324, 17, 22, 16625, 11796, 46, 25, 1709, 23, 25960, 100, 107, 112, 87, 49, 23188, 75, 1291, 77, 1006, 617, 168, 69, 22, 40, 41, 658, 17, 22, 561, 424, 102, 247, 17, 22, 561, 1677, 7, 1709, 23, 25960, 1291, 1291, 305, 20728, 6156, 109, 38, 121, 339, 14, 6637, 109, 21, 38, 6014, 77, 20728, 1291, 208, 1291, 69, 22, 40, 39, 112, 2458, 7, 121, 18, 205, 305, 113, 22, 105, 29, 4186, 108, 36, 415, 26, 79, 44, 32, 18, 18, 17058, 12869, 424, 102, 18, 20, 3906, 656, 52, 833, 3104, 26, 89, 2033, 14, 23351, 36, 16, 5256, 45, 18, 17058, 12869, 52, 833, 3104, 6 ]

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

[ 5, 608, 37, 344, 4723, 20, 10, 224, 6265, 29, 1254, 7, 1806, 2978, 32, 390, 4526, 20227, 59, 344, 5256, 20, 8, 365, 130, 20, 7901, 337, 12, 2840, 20, 8, 13, 20, 8, 9333, 20, 8, 46, 25, 22877, 4500, 20, 8, 130, 1754, 5588, 12, 4091, 20, 769, 3531, 7, 21370, 20, 10, 146, 1094, 22, 130, 6265, 21120, 16, 25350, 280, 22, 14, 12, 636, 13316, 20, 8, 197, 20, 12440, 13, 5407, 18780, 11, 20, 8, 71, 15, 22, 20, 31960, 215, 15872, 37, 3375, 31, 773, 22513, 20, 8, 238, 25679, 20, 8, 2132, 918, 8335, 20, 10, 224, 19318, 57, 82, 26, 139, 97, 326, 51, 22, 130, 228, 275, 104, 24, 18514, 20, 8, 13, 130, 54, 22, 21019, 81, 188, 27, 113, 22, 424, 1699, 635, 16, 136, 7, 8111, 75, 16, 18271, 20, 10, 26217, 10481, 16, 846, 7, 80, 1138, 17, 22, 29, 277, 468, 20, 10, 299, 19620, 35, 33, 80, 547, 5713, 130, 7412, 57, 7, 183, 1801, 14, 750, 21, 10247, 31, 773, 664, 20, 8, 16, 344, 4723, 220, 5551, 197, 12, 514, 1211, 35, 7, 4135, 74, 773, 1373, 20, 10, 773, 146, 51, 22, 30, 67, 272, 51, 22, 56, 7065, 20, 8, 21, 26, 20, 8, 16, 344, 4723, 74, 773, 166, 15, 22, 4654, 20, 10, 224, 22360, 18, 1590, 33, 59, 29879, 8429, 5577, 2467, 31, 773, 664, 20, 8, 4135, 1103, 140, 22, 21, 2457, 25, 2453, 74, 773, 1373, 20, 10, 224, 1486, 15913, 57, 121, 85, 3234, 20, 8, 280, 22, 14, 85, 14653, 2344, 20, 8, 13, 701, 113, 22, 424, 11, 5071, 1291, 26, 262, 475, 20, 8, 130, 49, 7966, 14, 3563, 13, 14, 10799, 13572, 125, 36, 12, 1492, 20, 10, 2195, 623, 14, 59, 640, 23539, 12, 547, 11258, 514, 5849, 59, 25350, 82, 110, 130, 52, 22, 228, 371, 1188, 16, 619, 7, 20, 3, 80, 1138, 391, 20, 10, 1418, 20, 8, 44, 50, 603, 39, 14, 417, 35, 3393, 200, 51, 22, 130, 20, 28588, 85, 5033, 2425, 20, 10, 224, 7966, 33, 183, 3375, 25, 16029, 79, 7487, 14, 359, 27, 113, 22, 9249, 901, 14, 80, 1082, 12, 789, 17, 22, 188, 20, 8, 13, 12, 1018, 79, 13282, 35, 20, 8, 130, 139, 230, 31, 773, 986, 196, 11, 9596, 35, 28, 2220, 303, 20, 8, 2493, 1151, 20, 10, 124, 52, 22, 424, 11, 39, 14, 2764, 110, 1120, 238, 8335, 137, 2195, 623, 15, 22, 8094, 242, 46, 130, 20, 10, 2354, 59, 1548, 1457, 14, 210, 20, 8, 130, 228, 1432, 16, 842, 7, 49, 783, 274, 406, 883, 20, 10, 146, 17, 22, 541, 20, 8, 13, 19, 303, 20, 8, 130, 228, 417, 14, 139, 335, 20, 8, 27, 12, 584, 22360, 79, 3137, 188, 51, 22, 130, 52, 22, 23383, 2434, 20, 10, 146, 110, 20, 8, 28, 18, 287, 32, 1014, 3309, 20, 8, 71, 4416, 757, 14, 2087, 18, 1590, 13878, 11, 156, 238, 622, 20, 8, 6 ]

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

[ 5, 3423, 81, 7, 15, 22, 2813, 20, 8, 14, 1846, 2340, 4116, 35, 20, 8, 139, 6930, 85, 22950, 137, 13, 130, 4911, 81, 28, 25, 12550, 24, 20, 10690, 20, 8, 1572, 29, 18757, 20786, 14, 15, 22, 2748, 20, 10, 124, 390, 2071, 11, 16, 2990, 20, 10, 224, 186, 148, 37, 3135, 20, 8, 77, 18699, 35, 17, 22, 25, 11673, 1911, 20, 10, 224, 49, 7966, 14, 3563, 21, 139, 10741, 85, 4348, 129, 11, 3085, 20, 10, 20342, 287, 185, 20, 8, 64, 6098, 1167, 20, 10, 20342, 287, 7, 41, 20, 8, 13, 64, 16, 7, 2264, 1335, 148, 1695, 20, 10, 224, 54, 22, 20, 14648, 1303, 10690, 57, 20, 8, 17, 22, 25, 15045, 119, 831, 20, 8, 13, 30052, 337, 44, 840, 82, 54, 22, 56, 23383, 992, 6762, 6988, 75, 449, 20, 10, 13932, 7, 21716, 20533, 20, 8, 130, 228, 26419, 25, 1173, 3158, 3888, 1707, 17110, 20, 10, 711, 2711, 186, 7539, 7, 15, 22, 6777, 20, 10, 124, 52, 22, 1551, 371, 1754, 87, 37, 618, 3734, 2135, 56, 7041, 7541, 20, 10, 124, 3641, 105, 51, 22, 56, 186, 813, 8070, 20, 8, 13, 71, 52, 22, 21, 13021, 215, 39, 41, 542, 20, 10, 664, 20, 8, 18178, 15, 22, 1962, 7, 59, 3135, 20, 8, 130, 18316, 262, 194, 185, 183, 3757, 97, 12, 22799, 21, 238, 443, 20, 10, 2359, 22799, 76, 177, 69, 22, 30, 332, 49, 9198, 76, 73, 22, 186, 498, 29, 21296, 1082, 20, 8, 17, 22, 25, 624, 25, 154, 13248, 4597, 20, 8, 77, 4591, 20, 10, 2063, 979, 24794, 195, 129, 11, 2294, 7, 2122, 137, 80, 2840, 21, 4526, 22, 13513, 35, 20, 8, 85, 4348, 324, 10391, 20, 8, 59, 3279, 104, 1069, 617, 475, 7, 22122, 125, 454, 3368, 137, 13, 85, 619, 11, 18779, 20, 8, 16686, 11, 13, 563, 20, 8, 13591, 11, 82, 19, 16183, 11, 7, 6704, 20, 8, 22954, 11, 82, 54, 22, 20, 3, 252, 391, 424, 2819, 5322, 2760, 2129, 19, 4404, 11, 17, 22, 10528, 20, 8, 29738, 14, 59, 515, 617, 475, 17, 22, 4225, 20, 8, 8635, 17, 22, 130, 29, 1254, 17, 22, 99, 6638, 13, 2157, 20, 8, 7, 16072, 4986, 14, 15, 22, 2560, 1181, 433, 12928, 20, 8, 20, 10383, 11212, 21, 348, 15, 22, 1453, 19, 31887, 11, 18652, 11, 9105, 11, 160, 18, 14279, 11, 4707, 54, 22, 20, 11732, 559, 37, 907, 19, 14438, 13, 19, 3939, 20, 10, 146, 371, 576, 50, 1625, 57, 28, 85, 16495, 11, 7, 41, 267, 9956, 23451, 11, 11624, 20, 10, 2063, 20, 858, 1144, 21848, 72, 13, 85, 30442, 111, 72, 1486, 1050, 8810, 11, 20, 8, 46, 19, 31447, 2425, 7, 4348, 20, 8, 19, 1056, 16700, 11, 1335, 13, 19, 30449, 11, 20, 8, 613, 5791, 11, 1081, 9569, 17, 22, 20506, 1159, 4360, 11, 4343, 11, 82, 29, 612, 20, 10, 171, 130, 49, 9116, 10332, 26445, 21, 406, 1905, 20, 8, 197, 6 ]

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

[ 5, 55, 424, 102, 15, 22, 29, 13, 15, 22, 277, 203, 885, 117, 168, 41, 7, 136, 14, 3786, 13, 71, 139, 1241, 11, 813, 87, 281, 27, 113, 22, 1551, 29, 3056, 160, 71, 235, 1885, 8601, 13, 54, 22, 56, 3055, 27, 44, 187, 29, 4234, 27, 113, 22, 38, 567, 15, 22, 185, 23, 2480, 203, 50, 139, 22893, 337, 39, 45, 182, 24, 182, 1291, 1291, 424, 102, 33, 16, 513, 815, 424, 102, 30, 23, 272, 27, 48, 611, 14453, 74, 1291, 71, 235, 14453, 13, 30, 23, 272, 27, 90, 576, 74, 238, 576, 2047, 38, 102, 305, 74, 238, 576, 2047, 238, 576, 30, 8968, 1291, 13, 130, 2047, 424, 102, 28, 19, 10822, 11, 17, 22, 303, 424, 102, 41, 45, 182, 5296, 1006, 627, 24701, 11, 12775, 13, 21, 41, 7, 203, 130, 38, 29, 3578, 2795, 373, 424, 102, 160, 130, 885, 85, 1182, 23, 309, 275, 130, 657, 13, 208, 130, 30, 8968, 130, 54, 22, 6937, 466, 17, 22, 303, 77, 7229, 23, 309, 36, 415, 130, 38, 84, 25, 472, 32, 84, 25165, 25, 1231, 394, 7, 85, 18325, 130, 50, 2047, 39, 16, 1229, 208, 27, 16, 1229, 69, 22, 30, 16, 194, 144, 2124, 7279, 130, 1065, 2010, 16, 1747, 17, 22, 303, 144, 69, 22, 30, 16, 41, 658, 26, 18, 18, 883, 13, 26, 18, 303, 906, 102, 87, 130, 5515, 7, 18, 2010, 16, 16, 1229, 12775, 27, 110, 29, 3181, 7, 7640, 424, 102, 107, 112, 1529, 97, 10799, 29, 1846, 23, 15743, 7, 191, 1687, 14, 396, 24, 310, 144, 69, 22, 30, 498, 617, 475, 17, 22, 645, 26, 740, 100, 651, 20, 3, 12, 391, 2144, 13, 27, 238, 1843, 16, 1229, 56, 219, 51, 22, 130, 54, 22, 6937, 7, 85, 303, 14, 130, 13, 27, 69, 22, 30, 29, 475, 424, 102, 5096, 208, 203, 1263, 82, 203, 13, 7229, 23, 309, 71, 1814, 27, 424, 102, 21608, 16, 191, 4438, 1065, 99, 877, 25, 344, 154, 82, 222, 512, 203, 49, 20527, 2124, 37, 37, 10680, 13, 14, 424, 102, 14, 12, 395, 7, 10150, 19, 19, 1627, 11211, 45, 4478, 3836, 87, 148, 29, 475, 424, 102, 37, 595, 7, 740, 56, 30, 112, 2148, 7, 97, 12, 5376, 69, 22, 30, 16, 692, 19, 1745, 880, 11, 466, 424, 102, 33, 16, 28, 18, 12196, 10526, 11, 82, 12, 2835, 30, 23, 272, 27, 48, 23, 549, 48, 4313, 481, 93, 316, 14, 29, 2168, 169, 880, 74, 424, 102, 2168, 880, 69, 22, 30, 23, 167, 23, 1504, 1132, 21, 424, 102, 99, 4178, 46, 1987, 22, 25, 74, 45, 627, 169, 169, 29, 2168, 32, 424, 102, 32, 21328, 424, 102, 121, 18, 581, 7, 90, 4053, 38, 102, 1291, 48, 16576, 48, 2182, 745, 33, 16, 513, 16858, 74, 110, 16, 721, 54, 22, 14816, 1291, 1291, 6585, 373, 56, 109, 38, 25, 56, 109, 38, 25, 6514, 6 ]

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

[ 5, 160, 18, 6269, 54, 22, 7398, 111, 417, 14, 15, 22, 2841, 51, 22, 37, 23, 1603, 7, 1789, 1902, 6739, 11, 34, 11350, 26051, 2294, 1889, 13, 19, 11350, 7, 5202, 654, 20, 19252, 5418, 137, 374, 1889, 96, 850, 7, 2262, 96, 31, 16, 850, 7, 2262, 26, 29, 2612, 942, 4173, 36, 12, 2883, 23, 12031, 4949, 4022, 7, 12, 1675, 7, 15, 22, 8756, 19, 3801, 12091, 26, 15, 22, 4743, 13, 15, 22, 11372, 20, 8, 21, 436, 6337, 137, 317, 1889, 96, 24372, 8465, 96, 31, 15, 22, 1639, 33, 16, 525, 1275, 26, 12, 4182, 19, 15655, 11, 24, 452, 412, 5399, 20, 10, 978, 1422, 31, 12305, 60, 22, 1467, 7, 12, 655, 3118, 30, 7, 3320, 12, 4182, 13, 15, 22, 2196, 1554, 14, 542, 721, 19, 11350, 7, 5202, 17932, 36, 12, 655, 3118, 20, 8, 3835, 63, 1236, 14954, 24, 283, 1275, 20, 10, 978, 2682, 31, 8079, 17, 22, 1826, 7, 12, 3118, 53, 1084, 17, 22, 1826, 7, 12, 655, 3118, 34, 96, 1084, 7, 12, 3118, 96, 1889, 21328, 12, 572, 7, 15, 22, 19771, 11388, 5137, 36, 18, 9619, 17, 22, 4375, 24, 1046, 20, 8, 17, 22, 4375, 2205, 13, 17, 22, 4375, 24, 1030, 13, 36, 18, 2219, 2727, 31, 67, 16, 4184, 774, 9170, 1046, 172, 18, 9619, 7, 15, 22, 4375, 24, 1046, 280, 22, 14, 59, 324, 17, 22, 20, 24469, 46, 16, 28202, 2846, 9170, 6618, 20, 8, 67, 16, 28202, 2846, 9170, 6618, 280, 22, 14, 59, 324, 17, 22, 20, 24469, 46, 16, 4184, 774, 9170, 1030, 20, 8, 13, 67, 16, 4184, 774, 9170, 1030, 280, 22, 14, 59, 324, 17, 22, 20, 24469, 46, 18, 9619, 17, 22, 4375, 24, 20, 3, 1030, 391, 20, 10, 6768, 1422, 31, 26974, 13, 2196, 19, 11350, 7, 5202, 17932, 36, 12, 3118, 978, 4144, 31, 12852, 7, 15, 22, 1945, 7, 15016, 118, 20, 10, 61, 581, 7, 12, 1609, 20, 8, 1032, 13, 36, 15, 22, 10205, 7, 12, 1609, 20, 8, 20, 10585, 15, 22, 1945, 7, 15016, 20, 8, 1276, 27, 11114, 28, 18, 1927, 14954, 24, 850, 7, 2262, 13, 206, 45, 7, 15, 22, 1639, 7, 1265, 2096, 7, 6337, 20, 8, 26, 12, 4182, 20, 8, 12, 540, 13, 15, 22, 2196, 1554, 19, 11350, 7, 5202, 17932, 36, 12, 655, 3118, 20, 10, 120, 20, 10, 94, 804, 20, 8, 18, 581, 7, 12, 1609, 3078, 17, 22, 770, 41, 7, 13850, 27, 18, 508, 55, 14849, 72, 20, 8, 154, 13897, 45, 267, 944, 14034, 9683, 20, 10, 43, 1215, 17, 22, 508, 2342, 11529, 11, 50, 6493, 99, 23282, 26, 50, 39, 364, 7, 1177, 7, 4182, 13, 7, 540, 45, 26, 21, 23341, 98, 15, 22, 20, 4979, 20, 10, 126, 20, 10, 1641, 15, 22, 1114, 19, 11350, 7, 5202, 17932, 45, 19, 3011, 169, 18326, 20, 8, 45, 19, 3011, 10973, 45, 9022, 72, 1039, 761, 14518, 20, 8, 18, 581, 7, 12, 6 ]

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

[ 5, 13066, 1964, 110, 1437, 20, 10, 178, 12, 13426, 87, 20, 8, 12, 13066, 1964, 20, 10, 178, 12, 13426, 33, 29, 329, 9563, 20, 8, 13, 20, 8, 79, 332, 23, 2800, 20, 8, 18, 3981, 20, 8, 36, 2737, 20, 8, 49, 885, 8056, 21, 4244, 82, 18, 1341, 2078, 14, 15, 22, 2456, 20, 10, 53, 1018, 13572, 7, 1424, 7577, 57, 9835, 31, 773, 3867, 76, 1006, 100, 1206, 2160, 76, 11420, 208, 20, 8, 23506, 1777, 27, 12, 12771, 623, 228, 17466, 20, 8, 13, 27, 16, 1322, 54, 22, 20, 7901, 242, 25, 243, 1201, 14, 543, 18, 11062, 20, 10, 460, 21471, 12202, 20, 10, 460, 1069, 6048, 20, 10, 8691, 186, 703, 268, 20, 10, 517, 3265, 20, 8, 24, 6443, 13, 207, 1948, 20, 8, 13, 121, 117, 20, 8, 20, 7028, 189, 16, 2418, 136, 24, 1010, 20, 8, 7412, 1817, 29, 168, 7, 41, 12, 6008, 13, 54, 22, 21, 5773, 1817, 251, 15, 22, 20, 17186, 20, 10, 70, 186, 14, 14064, 11485, 20, 8, 422, 22, 253, 20, 8, 13, 2898, 18, 654, 4006, 519, 19, 17083, 49, 6960, 3572, 37, 23, 1566, 7, 15, 22, 2813, 20, 10, 13285, 23506, 50, 15, 22, 228, 606, 110, 811, 20, 8, 13, 79, 7, 306, 130, 20, 7203, 57, 51, 22, 56, 2396, 99, 155, 16, 194, 144, 59, 983, 54, 22, 109, 186, 24532, 20, 10, 146, 79, 7, 306, 108, 130, 390, 4835, 16, 413, 14474, 13, 18, 25813, 11034, 14454, 24, 585, 14453, 20, 10, 43, 1322, 20, 27391, 242, 679, 13, 2123, 22034, 18, 13214, 7, 3881, 32, 29428, 14095, 72, 63, 14438, 13, 63, 22403, 7, 13066, 11, 20, 10, 70, 109, 228, 28, 15, 22, 3218, 29, 5201, 20, 8, 82, 37, 2708, 20, 10, 166, 136, 21, 136, 100, 2753, 242, 25, 562, 7, 1448, 37, 703, 20, 10, 146, 20, 3, 23506, 391, 20, 8, 32, 54, 22, 186, 79, 17, 22, 12378, 29085, 35, 7, 12, 4240, 17, 22, 25, 17920, 20, 8, 228, 95, 18920, 35, 36, 1424, 31, 773, 229, 13066, 1964, 30, 14, 64, 20, 10, 14309, 533, 38, 16, 283, 17, 22, 109, 17793, 20, 10, 70, 1058, 27, 71, 4119, 2612, 75, 373, 13, 56, 845, 1115, 87, 1377, 20, 10, 568, 21, 7337, 20, 8, 56, 11825, 1115, 18, 2219, 14089, 16, 1010, 13, 20535, 28, 29, 4340, 1151, 20, 10, 171, 23506, 52, 22, 228, 39, 1191, 7, 2612, 75, 20, 10, 568, 44, 51, 22, 130, 228, 606, 13, 1568, 12, 12, 8951, 1486, 4111, 5099, 20, 8, 13, 130, 52, 22, 8094, 242, 17, 22, 1726, 14, 366, 20, 10, 773, 986, 7030, 918, 338, 82, 29, 20, 18022, 76, 4439, 1424, 21, 5943, 189, 20, 10, 70, 21216, 242, 155, 18, 865, 27, 152, 3743, 2505, 2392, 228, 15, 22, 12001, 7, 335, 14, 85, 1026, 22683, 72, 20, 10, 386, 1246, 110, 23506, 5943, 242, 20, 10, 224, 186, 12, 1699, 20, 8, 110, 12, 1699, 6 ]

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

[ 5, 8273, 81, 140, 23, 203, 84, 182, 1291, 203, 203, 16, 1241, 41, 8629, 1291, 305, 348, 113, 22, 1551, 39, 1432, 203, 11247, 113, 22, 1551, 230, 7030, 6156, 69, 22, 30, 82, 1589, 953, 424, 102, 64, 100, 84, 100, 84, 781, 100, 84, 203, 305, 6156, 541, 203, 89, 1439, 7487, 37, 4657, 1291, 1291, 69, 22, 30, 15254, 28, 25, 454, 1291, 348, 113, 22, 1551, 39, 368, 113, 23, 1006, 20728, 20728, 12, 208, 109, 38, 373, 1291, 3836, 532, 7538, 30, 23, 272, 27, 48, 10007, 51, 22, 422, 22, 20, 253, 424, 102, 15, 22, 20, 14587, 30, 12399, 35, 108, 87, 45, 182, 87, 45, 82, 188, 74, 1006, 37, 136, 27, 48, 17864, 14, 15, 22, 2456, 74, 38, 102, 27, 69, 22, 30, 23, 167, 23, 1504, 27, 69, 22, 30, 3356, 275, 71, 2730, 450, 348, 113, 22, 1551, 3036, 14, 837, 13, 27, 48, 7229, 406, 765, 50, 21139, 13, 406, 1341, 27836, 11, 1291, 450, 51, 22, 615, 88, 3036, 13, 679, 406, 1341, 23, 1160, 1986, 5023, 408, 236, 408, 236, 6585, 71, 424, 102, 100, 49, 419, 71, 139, 419, 450, 51, 22, 615, 51, 22, 252, 511, 26, 109, 2472, 69, 22, 30, 5293, 13, 365, 16, 22425, 109, 1439, 56, 49, 230, 79, 7, 54, 5468, 23, 701, 64, 71, 1123, 39, 348, 69, 22, 186, 79, 14, 84, 41, 12, 236, 5984, 30, 23, 272, 541, 69, 22, 30, 41, 1012, 424, 102, 365, 208, 252, 88, 1784, 29, 1443, 41, 27, 64, 38, 102, 1291, 74, 20728, 348, 71, 2730, 406, 79, 765, 50, 21139, 332, 32, 88, 689, 1034, 128, 208, 77, 69, 22, 30, 6038, 4027, 130, 38, 1012, 84, 7, 80, 504, 23, 17, 22, 5089, 80, 718, 36, 1483, 77, 48, 611, 16, 20, 3, 16, 7344, 391, 56, 38, 39, 1014, 129, 56, 30, 268, 56, 38, 268, 56, 30, 1760, 332, 365, 16, 7344, 6156, 56, 2736, 39, 48, 14930, 316, 27, 275, 104, 69, 22, 40, 18, 303, 55, 498, 1291, 441, 15693, 13, 48, 424, 102, 275, 48, 17864, 14, 15, 22, 2456, 28, 1375, 650, 30, 23, 272, 27, 48, 17864, 12, 41, 1358, 74, 38, 102, 348, 113, 22, 18080, 29, 547, 29, 547, 1082, 424, 102, 87, 2656, 408, 236, 408, 236, 39, 139, 18415, 75, 527, 27, 110, 100, 139, 5105, 11, 6748, 242, 69, 22, 186, 2434, 110, 100, 139, 20, 7983, 23, 110, 38, 102, 305, 74, 100, 11147, 368, 813, 69, 22, 186, 2434, 38, 102, 1291, 113, 22, 1551, 16603, 348, 19, 38, 102, 1291, 74, 19, 5700, 113, 22, 1551, 16603, 19, 14129, 11, 13, 208, 332, 169, 71, 36, 10804, 71, 208, 332, 69, 22, 186, 7487, 10964, 110, 100, 139, 11147, 368, 813, 26, 140, 22, 3765, 597, 27, 44, 187, 208, 6125, 69, 22, 186, 2434, 38, 102, 305, 74, 71, 140, 22, 7569, 2653, 66, 4141, 38, 102, 6 ]

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

[ 5, 18, 1006, 69, 22, 385, 1081, 79, 197, 12, 134, 186, 28912, 35, 36, 19, 3509, 11, 36, 415, 13, 36, 114, 2794, 7, 3509, 11, 1291, 109, 38, 424, 203, 109, 38, 424, 20, 6181, 23, 17, 22, 712, 275, 104, 19, 14027, 109, 228, 19, 506, 7, 191, 32, 613, 112, 4618, 26, 271, 7, 227, 275, 104, 219, 3819, 408, 236, 408, 236, 11796, 74, 100, 107, 48, 745, 44, 51, 22, 86, 1206, 7, 538, 44, 51, 22, 86, 2522, 7, 538, 16, 429, 24, 815, 13525, 17, 22, 25942, 11, 13, 209, 11796, 74, 408, 236, 408, 236, 6156, 18, 480, 2078, 7, 2883, 128, 275, 104, 615, 1069, 25, 938, 121, 18, 2034, 938, 11, 104, 753, 20948, 121, 18, 121, 18, 121, 18, 2034, 1171, 6156, 69, 22, 40, 16, 2928, 644, 23, 1291, 121, 18, 2034, 1171, 512, 408, 236, 408, 236, 38, 102, 1291, 13, 69, 22, 40, 39, 271, 305, 169, 169, 56, 219, 21, 205, 1191, 7, 97, 16, 1630, 169, 77, 498, 498, 11796, 203, 419, 11796, 100, 1058, 87, 27, 69, 22, 40, 25, 1630, 144, 219, 99, 23366, 35, 77, 1006, 1314, 79, 219, 275, 104, 1481, 14, 80, 145, 3659, 108, 7562, 1291, 1291, 1291, 1291, 1291, 11796, 74, 172, 615, 511, 87, 182, 17, 22, 14172, 48, 1517, 3443, 17, 22, 14172, 74, 615, 8635, 8422, 23, 11, 2137, 557, 7, 191, 71, 69, 23, 48, 1517, 9252, 557, 679, 408, 236, 408, 236, 69, 22, 40, 27, 51, 22, 103, 38, 19, 109, 38, 17, 23, 48, 17593, 117, 287, 117, 287, 121, 18, 2034, 1171, 117, 287, 19348, 121, 18, 2034, 1171, 3758, 25, 194, 7, 7097, 25, 194, 16, 1112, 1294, 36, 22284, 7229, 23, 309, 13, 275, 615, 6338, 37, 913, 20, 3, 913, 391, 938, 1291, 1291, 172, 109, 38, 1525, 287, 7, 191, 311, 287, 7, 7097, 1525, 287, 7, 191, 117, 287, 7, 7097, 408, 236, 408, 236, 332, 325, 9249, 332, 25, 277, 336, 79, 14, 84, 3356, 77, 3758, 2132, 44, 27, 69, 22, 40, 26, 79, 149, 7229, 1291, 69, 22, 40, 69, 22, 40, 172, 18, 3509, 11, 203, 7229, 1291, 1291, 13, 46, 16, 104, 3710, 13, 104, 25, 3710, 32, 38, 95, 25, 154, 5860, 109, 228, 19, 5594, 275, 104, 11479, 125, 963, 408, 236, 408, 236, 19, 5594, 112, 112, 963, 11796, 74, 1291, 13, 38, 23, 79, 7, 104, 208, 71, 791, 27, 79, 203, 17797, 109, 21, 38, 1012, 32, 88, 84, 12, 3509, 119, 326, 671, 107, 23, 179, 203, 107, 23, 179, 48, 3392, 571, 51, 22, 103, 38, 25, 914, 7, 16365, 169, 44, 32, 54, 22, 40, 677, 274, 18, 1255, 7, 210, 203, 38, 95, 29864, 56, 109, 38, 275, 104, 424, 6012, 39, 430, 7, 2533, 13, 203, 69, 22, 40, 408, 236, 408, 236, 1291, 1291, 69, 22, 385, 203, 38, 95, 5240, 5240, 77, 275, 12, 24600, 6 ]

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

[ 5, 9275, 5555, 19, 298, 121, 18, 1112, 11, 26, 2115, 89, 7611, 1291, 208, 16, 1010, 615, 88, 1700, 424, 102, 1700, 424, 102, 384, 1006, 155, 7, 306, 13, 221, 18, 16, 15, 22, 864, 23, 2480, 24, 1112, 615, 88, 424, 102, 3174, 13, 9950, 408, 236, 208, 71, 15184, 29, 2518, 7, 852, 405, 7, 9950, 82, 1961, 3470, 71, 7411, 48, 1881, 207, 672, 25, 154, 41, 9559, 679, 110, 48, 292, 4909, 408, 236, 424, 102, 71, 2730, 51, 22, 86, 1003, 1006, 7, 7, 271, 7, 634, 7, 15, 22, 1463, 169, 77, 100, 1003, 271, 1291, 17, 22, 1463, 7, 54, 22, 22907, 1061, 23, 549, 13, 285, 3798, 1291, 1291, 71, 7411, 48, 1881, 207, 672, 32, 64, 2818, 112, 4171, 424, 102, 30, 23, 272, 27, 48, 445, 36, 415, 19, 12974, 11, 14, 12, 443, 74, 19, 20, 22851, 11, 74, 38, 102, 1291, 18, 1137, 1291, 74, 113, 22, 93, 1551, 100, 21, 38, 197, 29, 20, 22851, 7, 1137, 12974, 11, 2311, 38, 102, 305, 38, 102, 305, 1291, 1291, 1291, 30, 23, 272, 27, 71, 9377, 48, 1282, 2272, 48, 445, 74, 424, 102, 16, 344, 53, 9750, 74, 38, 102, 56, 4082, 27, 48, 445, 18, 53, 9750, 36, 415, 74, 424, 102, 1291, 69, 22, 40, 53, 9750, 1291, 44, 55, 18, 53, 9750, 1291, 20728, 424, 102, 16, 359, 27, 64, 52, 22, 2787, 39, 69, 22, 40, 16, 16, 53, 9750, 22691, 77, 1006, 13, 18, 1137, 8054, 48, 3392, 36, 424, 102, 1291, 74, 172, 14, 424, 102, 14, 1276, 17, 57, 23, 1006, 252, 55, 112, 112, 1137, 1291, 1291, 1291, 69, 22, 40, 203, 1291, 16, 53, 9750, 21, 9210, 13720, 6743, 74, 109, 21, 38, 37, 182, 20, 3, 29, 4320, 391, 19, 1137, 8054, 74, 1291, 252, 55, 112, 112, 1137, 1291, 1291, 1291, 1291, 13, 252, 55, 112, 2311, 69, 22, 40, 203, 1291, 29, 4320, 7, 8054, 13, 208, 424, 102, 113, 22, 105, 19, 53, 9750, 424, 102, 41, 765, 597, 1291, 1291, 1291, 16, 53, 9750, 21, 25, 2660, 36, 415, 74, 408, 236, 1291, 21, 25, 2660, 1291, 48, 445, 19, 19, 20, 22851, 11, 9404, 74, 36, 415, 71, 1123, 39, 53, 9750, 14258, 45, 53, 9750, 424, 102, 56, 109, 38, 25, 53, 9750, 26, 12, 9950, 74, 424, 102, 71, 50, 1323, 39, 48, 335, 203, 71, 50, 1123, 39, 203, 71, 169, 169, 3392, 39, 69, 22, 40, 19, 634, 48, 15, 22, 2110, 39, 208, 153, 424, 102, 169, 71, 15, 22, 105, 39, 169, 203, 71, 15, 22, 105, 39, 1291, 17, 22, 1259, 48, 445, 19, 69, 22, 40, 203, 1291, 13, 48, 48, 18, 1377, 135, 144, 28, 12, 443, 74, 28, 252, 55, 28, 26, 15, 22, 3516, 252, 55, 28, 29, 20, 17282, 1291, 38, 102, 1291, 17, 22, 1259, 77, 7279, 110, 48, 906, 102, 87, 69, 22, 40, 23, 6 ]

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

[ 5, 1090, 212, 142, 11429, 1291, 7133, 27645, 38, 102, 69, 22, 40, 27645, 906, 325, 10097, 3673, 7, 314, 71, 1123, 39, 46, 32, 110, 107, 23, 179, 46, 27645, 264, 77, 56, 258, 99, 14, 12, 6156, 1291, 24785, 389, 6848, 42, 44, 854, 56, 258, 109, 205, 29, 1904, 33, 16, 138, 106, 382, 1090, 32, 258, 49, 97, 14, 15, 22, 589, 1090, 389, 347, 42, 906, 614, 7, 12, 2364, 1291, 402, 2074, 333, 1291, 402, 2074, 333, 69, 22, 40, 39, 373, 169, 69, 22, 40, 614, 7, 12, 2364, 20728, 71, 71, 791, 527, 27, 4232, 332, 71, 1123, 32, 69, 22, 40, 373, 1291, 38, 102, 1291, 1291, 6156, 71, 717, 601, 12, 1004, 389, 42, 12, 7962, 130, 657, 207, 2650, 33, 203, 17, 22, 1259, 6156, 601, 23, 301, 348, 17999, 867, 20, 14986, 20, 14986, 11429, 6087, 906, 1004, 389, 42, 169, 69, 22, 40, 29, 7962, 38, 102, 10515, 20086, 135, 23, 2765, 12786, 402, 8997, 35, 333, 10515, 169, 169, 906, 113, 22, 5851, 326, 906, 113, 22, 105, 29, 1904, 44, 854, 906, 69, 22, 40, 48, 32, 445, 2391, 79, 14, 15, 22, 1198, 1291, 203, 38, 203, 38, 9061, 45, 71, 1123, 100, 38, 95, 9061, 39, 527, 27, 71, 139, 5322, 11, 35, 3233, 757, 110, 110, 69, 22, 40, 87, 614, 7, 12, 2364, 69, 22, 40, 25, 614, 7, 12, 2364, 11796, 1291, 20, 3, 69, 22, 40, 391, 614, 7, 12, 2364, 12, 1904, 13, 906, 6156, 69, 22, 40, 25, 243, 1864, 69, 22, 40, 44, 196, 2906, 1291, 69, 22, 40, 2906, 1291, 1291, 1291, 112, 87, 1497, 271, 12786, 37, 5452, 12786, 37, 5452, 6 ]

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

[ 5, 3649, 7, 3022, 4280, 1169, 679, 29, 197, 277, 370, 20, 8, 32, 220, 64, 11046, 993, 18, 1899, 20, 18388, 323, 11242, 20, 8, 77, 32, 109, 19901, 25, 87, 3356, 1299, 20, 10, 73, 9, 30, 148, 29, 8656, 35, 20, 8, 44, 52, 9, 30, 41, 29, 13753, 35, 7, 20, 22150, 13, 7, 152, 16425, 202, 20, 10, 53, 12718, 576, 160, 64, 2784, 12163, 75, 12, 145, 52, 9, 4562, 324, 14, 15, 9, 756, 346, 137, 130, 52, 9, 30, 324, 7, 12, 438, 19, 641, 17, 9, 1114, 137, 130, 52, 9, 38, 324, 17824, 63, 117, 654, 217, 4881, 519, 89, 379, 13, 16, 599, 7, 12, 134, 137, 130, 38, 6042, 512, 7, 89, 7891, 59, 5584, 20, 8, 7, 13722, 75, 26, 541, 85, 1167, 13, 80, 646, 20, 8, 78, 646, 32, 129, 6990, 427, 7, 12, 2900, 13, 7, 12, 4419, 20, 10, 711, 243, 649, 20, 8, 51, 9, 20, 19405, 242, 29, 16285, 24282, 13, 27, 31148, 29, 11955, 1855, 13, 25, 2589, 20969, 20, 8, 195, 992, 36, 12, 7842, 13, 12, 26658, 20, 8, 38, 4871, 466, 28, 85, 21337, 20, 10, 463, 205, 95, 12, 20826, 17, 9, 25, 1960, 20, 8, 15, 9, 5887, 17, 9, 29, 6361, 20, 8, 15, 9, 25026, 7, 12, 2340, 12, 41, 14156, 7, 15, 9, 3014, 20, 8, 571, 27, 16, 2633, 38, 3631, 20, 8, 130, 38, 95, 37, 23, 200, 4027, 7, 12, 1091, 29810, 20, 8, 130, 54, 9, 30, 24671, 24, 149, 20, 8, 20, 3, 130, 391, 38, 9412, 13, 82, 31636, 156, 18, 4536, 11, 13, 28, 15, 9, 19591, 7, 12, 4419, 18, 8301, 18, 41, 3527, 27, 579, 1932, 371, 846, 556, 14, 29, 16072, 1792, 20, 10, 224, 52, 9, 38, 324, 2866, 7, 411, 28, 15, 9, 756, 20, 8, 13, 64, 32, 122, 13510, 291, 7, 12, 22167, 14, 15, 9, 20, 7028, 20, 8, 110, 64, 12, 10964, 14, 532, 7, 1874, 7, 27560, 2017, 20, 8, 44, 52, 9, 30, 39, 25, 4184, 20, 8, 69, 9, 30, 87, 627, 25, 8780, 27, 64, 6079, 5615, 20, 8, 26, 97, 6114, 156, 85, 3428, 18, 41, 1508, 12, 9256, 7, 12, 576, 37, 12841, 590, 20, 8, 82, 108, 20, 8, 64, 15, 9, 20, 17105, 291, 20, 8, 46, 16, 2544, 13, 15, 9, 14849, 35, 15542, 17, 9, 12691, 14, 78, 12652, 13, 5662, 5414, 1443, 207, 11060, 17, 9, 20, 8091, 20801, 13, 332, 20168, 72, 20, 10, 455, 1009, 7, 3022, 4280, 29048, 16, 164, 401, 322, 2083, 20, 8, 28, 25, 2102, 2452, 27090, 24, 24972, 20, 8, 32, 609, 14, 609, 4313, 481, 4118, 14, 4843, 16, 5312, 20, 8, 14, 17104, 7989, 20, 8, 230, 16, 892, 26, 85, 9936, 11, 28, 18, 25430, 11, 20, 8, 37, 4414, 7040, 14459, 7118, 7, 19304, 20, 8, 14, 772, 7, 278, 270, 7381, 20, 8, 13, 14, 17, 9, 209, 1618, 9289, 11, 24, 6 ]

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

[ 5, 1138, 119, 4053, 71, 140, 22, 3579, 424, 102, 3129, 2747, 86, 71, 235, 1473, 14, 17203, 28, 16, 3075, 81, 113, 22, 12812, 14, 17203, 71, 2047, 424, 102, 274, 28537, 75, 82, 424, 102, 10227, 372, 46, 25, 1630, 7, 514, 2872, 2864, 406, 883, 424, 102, 183, 983, 30, 30025, 20, 18365, 6268, 238, 1138, 119, 4053, 208, 14, 348, 71, 140, 22, 3579, 278, 21121, 13103, 21949, 113, 22, 105, 4519, 23, 12207, 128, 71, 235, 3730, 14, 17203, 183, 983, 30, 7094, 238, 1138, 30, 14, 12, 1957, 130, 38, 9541, 13, 12168, 128, 71, 235, 3056, 113, 22, 105, 71, 235, 4135, 113, 22, 105, 689, 303, 71, 140, 22, 3579, 5053, 21766, 71, 2047, 424, 102, 28, 29, 4091, 759, 7, 17, 22, 12763, 82, 14674, 71, 235, 1473, 14, 28, 29, 841, 14, 532, 17, 22, 12763, 14, 53, 10693, 424, 102, 288, 23, 20891, 1644, 113, 22, 105, 2883, 23, 13345, 128, 406, 883, 55, 29768, 11, 305, 208, 424, 102, 100, 220, 71, 1306, 48, 1881, 19, 672, 17, 22, 3894, 71, 1553, 19, 672, 512, 14, 29, 370, 208, 48, 1860, 316, 424, 102, 82, 48, 2182, 77, 48, 1517, 1726, 14, 50, 39, 368, 745, 830, 527, 51, 22, 434, 125, 100, 50, 1103, 39, 8267, 46, 16, 1690, 208, 424, 102, 17, 22, 785, 71, 48, 419, 110, 48, 48, 31196, 135, 14, 17203, 74, 1291, 69, 23, 69, 22, 40, 600, 12994, 18156, 25, 154, 15941, 1314, 79, 39, 29, 304, 32, 30, 32, 30, 112, 2276, 11796, 74, 324, 7, 518, 27011, 26, 18, 480, 634, 82, 203, 69, 22, 40, 600, 600, 12971, 11796, 74, 14, 1435, 557, 79, 30, 6149, 28, 12, 304, 1291, 1291, 69, 22, 40, 127, 1130, 71, 791, 14, 12, 39, 39, 430, 17, 22, 2561, 1308, 57, 3873, 424, 102, 12, 304, 38, 84, 19, 2810, 7, 20, 3, 863, 391, 77, 21, 6516, 130, 50, 84, 366, 21, 920, 19, 480, 349, 56, 109, 38, 29, 2811, 112, 26641, 2811, 424, 102, 32, 50, 2751, 2665, 39, 14, 12, 2668, 7, 480, 32, 11428, 679, 14, 17203, 46, 18, 6184, 424, 102, 169, 69, 22, 40, 39, 203, 50, 2751, 39, 24, 79, 1291, 348, 71, 235, 2256, 17, 22, 1259, 46, 203, 13, 30, 23, 272, 51, 22, 103, 38, 17, 22, 561, 19, 1341, 424, 102, 1341, 424, 102, 1661, 1043, 17769, 48, 445, 26631, 23, 421, 23, 204, 3017, 5723, 531, 2939, 53, 10693, 23, 3213, 23, 20891, 1644, 252, 88, 19, 13575, 182, 645, 27, 12, 304, 13, 252, 6338, 14, 97, 19, 19, 10604, 7, 119, 153, 26631, 220, 97, 29, 2811, 36, 415, 69, 22, 40, 275, 104, 424, 102, 19, 634, 424, 102, 27, 28, 29, 329, 304, 7, 3001, 3001, 2919, 1262, 679, 271, 7, 2921, 108, 1291, 20728, 1291, 18, 22838, 2181, 113, 22, 105, 1568, 27, 203, 38, 18005, 143, 112, 1604, 26, 39, 271, 6 ]

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

[ 5, 27, 424, 102, 21, 384, 109, 38, 109, 38, 19, 900, 7, 865, 424, 102, 406, 16038, 38, 102, 1291, 112, 18179, 32, 32, 50, 670, 39, 99, 1529, 8611, 2984, 81, 9032, 21, 1645, 169, 21, 340, 13, 56, 139, 714, 51, 22, 86, 220, 24175, 19, 900, 7, 865, 1645, 13, 365, 4245, 23, 24092, 556, 52, 22, 40, 23, 272, 39, 74, 69, 22, 40, 203, 1291, 1291, 1291, 1291, 1006, 12786, 28, 1375, 650, 17864, 23, 309, 16, 41, 813, 14, 15, 22, 827, 74, 38, 102, 348, 113, 22, 22972, 400, 16, 384, 113, 22, 22972, 39, 18, 7145, 384, 16, 384, 1291, 113, 22, 1250, 39, 18, 7145, 11796, 74, 1291, 1291, 450, 51, 22, 86, 84, 26, 13, 30, 23, 272, 27, 2654, 23, 8441, 48, 445, 617, 475, 26, 3247, 33, 48, 28, 90, 2766, 69, 22, 40, 23, 167, 23, 1504, 74, 20728, 6156, 113, 22, 105, 195, 25, 344, 22401, 3295, 113, 22, 105, 195, 44, 20728, 1291, 203, 1291, 74, 22401, 3295, 71, 13, 15, 22, 8458, 46, 1007, 48, 27004, 21, 553, 69, 22, 40, 597, 74, 69, 22, 40, 25, 25, 19213, 20, 18244, 424, 102, 19213, 1291, 19213, 1291, 19213, 19213, 20, 18244, 54, 1901, 23, 19213, 14, 21, 4700, 74, 113, 22, 93, 1551, 1291, 113, 22, 93, 1551, 71, 4757, 203, 17, 22, 712, 1291, 71, 4757, 3247, 46, 25, 19213, 14, 21, 4700, 11796, 74, 27, 25, 19213, 14, 20, 18244, 113, 22, 10330, 39, 112, 87, 208, 71, 1814, 27, 113, 22, 10330, 148, 19213, 20, 18244, 69, 22, 40, 5729, 1291, 275, 104, 1291, 169, 77, 113, 22, 1250, 39, 271, 77, 69, 22, 40, 27282, 1291, 69, 22, 40, 658, 1291, 69, 22, 40, 658, 69, 22, 40, 27282, 69, 22, 40, 658, 1291, 1291, 208, 14, 12, 306, 7, 3734, 4853, 445, 23, 309, 28559, 26, 12, 261, 168, 25, 19213, 14, 8254, 74, 69, 22, 40, 23, 167, 23, 1504, 14, 919, 2563, 74, 110, 48, 425, 21, 553, 20, 3, 69, 22, 40, 391, 69, 22, 40, 25, 2943, 45, 261, 14170, 25, 19213, 21, 4700, 12, 261, 45, 69, 22, 385, 1291, 406, 6649, 128, 597, 12168, 128, 597, 617, 475, 82, 203, 1291, 1291, 74, 77, 71, 140, 22, 93, 235, 2590, 3985, 188, 2590, 305, 13, 275, 30, 23, 272, 27, 48, 445, 902, 26, 12, 636, 168, 74, 69, 22, 40, 23, 167, 23, 1504, 44, 1010, 44, 1010, 1291, 1291, 74, 113, 22, 105, 84, 117, 2807, 305, 44, 1010, 305, 2124, 9250, 48, 38, 23, 48, 17593, 487, 17, 22, 5433, 28, 90, 191, 188, 7, 48, 14843, 12786, 74, 38, 102, 1291, 119, 831, 1291, 1291, 87, 890, 26, 97, 3734, 6145, 7, 634, 208, 74, 71, 1123, 39, 424, 102, 26, 97, 3734, 6145, 7, 424, 102, 28, 183, 191, 48, 139, 10682, 74, 1291, 1291, 1291, 203, 109, 228, 109, 228, 39, 430, 7, 634, 109, 6 ]

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

[ 5, 764, 7, 11627, 20, 8, 208, 137, 41, 7, 5121, 7, 25431, 125, 20, 10, 60, 22, 15542, 12, 41, 14656, 35, 20, 8, 12, 1574, 12, 41, 17058, 15612, 52, 22, 88, 324, 9112, 17, 22, 3121, 183, 1127, 20, 8, 139, 22884, 14, 543, 7, 1408, 9556, 20, 8, 7, 2077, 8686, 11, 20, 8, 27, 197, 5584, 32, 52, 22, 860, 39, 424, 16, 1956, 129, 67, 549, 26, 19721, 23383, 95, 8123, 7930, 8811, 20, 10, 65, 152, 20, 10, 1135, 1974, 57, 87, 12, 886, 20, 8, 77, 56, 54, 8920, 4702, 28215, 28, 12, 8160, 7, 2693, 3911, 276, 3967, 13, 20, 25415, 38, 9890, 25, 1748, 51, 22, 130, 109, 3947, 20, 10, 224, 1777, 19, 13331, 8105, 33, 12, 8753, 20, 10, 3859, 586, 4285, 11, 13, 9640, 921, 20, 8, 252, 15, 22, 21, 6019, 15714, 111, 14, 5145, 7276, 18, 1732, 11, 31867, 72, 20, 10, 73, 22, 30, 21, 886, 20, 8, 14, 12, 737, 24, 317, 423, 51, 22, 20, 25415, 30398, 16, 31982, 3199, 32, 2736, 31, 47, 463, 205, 11487, 769, 33, 15, 22, 267, 14123, 888, 7, 127, 632, 18955, 35, 32, 10980, 15, 22, 14590, 21, 64, 33, 15, 22, 2589, 7, 483, 20, 8, 139, 3061, 189, 1523, 17, 22, 20, 26258, 14, 12, 2064, 27, 12, 2703, 16102, 218, 18029, 14, 114, 27250, 11, 139, 22498, 337, 14, 17, 22, 22773, 8469, 6429, 11, 2816, 579, 20, 8, 28, 15, 22, 20, 12440, 17, 22, 29, 5584, 32, 14692, 35, 7, 4566, 7163, 14, 59, 20969, 2745, 20, 8, 113, 22, 1551, 635, 422, 22, 253, 15, 22, 3199, 31982, 20, 8, 46, 15, 22, 1391, 7, 59, 288, 23, 5792, 20, 8, 7, 50, 41, 371, 15684, 78, 632, 18955, 35, 20, 8, 20, 27871, 20, 8, 14, 12, 13353, 104, 12, 41, 5624, 20, 8, 24, 310, 27, 71, 16, 26, 4774, 1386, 20, 10, 73, 22, 30, 671, 20, 8, 54, 22, 56, 8545, 14, 127, 2936, 14983, 7, 20, 3, 139, 391, 11046, 148, 37, 907, 19, 15947, 11, 20, 8, 71, 10844, 262, 194, 16, 13125, 7, 406, 41, 14107, 11, 11624, 20, 8, 7, 9074, 51, 22, 252, 50, 139, 26035, 111, 24, 24982, 31982, 13, 5316, 27, 71, 4119, 7, 11068, 20, 10, 794, 579, 20, 8, 36, 12, 800, 7, 90, 11888, 23, 3213, 20, 8, 29595, 135, 44, 24982, 28, 183, 649, 20, 10, 787, 12, 800, 7, 90, 11888, 139, 5365, 35, 20, 8, 139, 1029, 323, 20, 8, 51, 22, 130, 139, 1377, 17, 22, 2549, 371, 27, 48, 611, 183, 79, 137, 13, 27, 20, 8, 119, 25, 649, 3478, 20, 8, 5527, 20, 8, 23761, 125, 20, 8, 23366, 14, 90, 9512, 1340, 20, 8, 71, 50, 26, 4774, 3830, 28, 90, 5280, 20, 10, 20, 3, 579, 20, 8, 2257, 135, 33, 348, 20, 8, 26, 15, 22, 2560, 7, 1580, 23, 8847, 20, 10, 65, 43, 213, 423, 20, 8, 18, 9619, 17, 22, 3844, 6 ]

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

[ 5, 45, 74, 6156, 203, 486, 23, 203, 3031, 110, 110, 71, 235, 21, 1192, 110, 113, 22, 105, 19, 865, 23, 26057, 592, 14, 97, 71, 4582, 424, 102, 378, 110, 71, 45, 208, 110, 113, 22, 14046, 617, 475, 14, 12, 2659, 32, 140, 22, 5288, 424, 102, 71, 2405, 108, 71, 4582, 33, 406, 1924, 33, 406, 1938, 5979, 45, 33, 183, 12974, 408, 236, 26, 19, 1555, 26, 424, 102, 19, 199, 7229, 2930, 854, 109, 228, 16, 9765, 73, 21809, 248, 69, 22, 385, 112, 2148, 906, 102, 87, 109, 228, 29, 6503, 6356, 332, 687, 7, 687, 7, 8722, 13, 113, 22, 105, 11930, 16, 5692, 7, 29458, 79, 203, 1006, 153, 424, 102, 48, 15, 22, 2110, 11930, 2930, 854, 208, 74, 1291, 408, 236, 408, 236, 13, 30, 23, 272, 27, 48, 445, 48, 52, 22, 2110, 39, 7, 48, 3392, 679, 100, 100, 4959, 19, 20, 22851, 11, 424, 102, 7917, 11, 1006, 48, 52, 22, 2110, 39, 203, 74, 44, 965, 7, 169, 74, 169, 169, 51, 22, 40, 23, 272, 27, 48, 21, 4389, 74, 48, 445, 4281, 769, 25, 154, 169, 74, 71, 791, 27, 113, 22, 105, 39, 16, 136, 7, 18, 837, 1291, 74, 69, 22, 40, 466, 203, 71, 1743, 39, 97, 368, 97, 7, 634, 13, 365, 208, 679, 2326, 71, 1306, 71, 1306, 39, 424, 102, 108, 1012, 27, 275, 113, 22, 1579, 41, 585, 208, 424, 102, 113, 23, 71, 52, 22, 105, 10972, 13276, 23, 13435, 125, 39, 16, 136, 7, 7, 837, 113, 22, 105, 25, 10516, 7, 1260, 7, 44, 532, 23, 240, 48, 2209, 314, 906, 102, 6156, 109, 21, 38, 19, 311, 17982, 39, 18, 311, 17982, 77, 1006, 109, 21, 38, 29, 409, 250, 7229, 74, 79, 203, 69, 22, 40, 7041, 7, 1260, 140, 102, 45, 102, 332, 332, 1291, 109, 20, 3, 21, 391, 38, 7229, 74, 906, 102, 6156, 113, 22, 105, 39, 16, 136, 7, 837, 408, 236, 408, 236, 13, 1142, 71, 7411, 87, 18, 837, 77, 113, 22, 1126, 25687, 11, 195, 368, 7, 634, 14, 12, 168, 1291, 1291, 208, 275, 71, 9377, 41, 97, 7, 4034, 332, 26, 23, 71, 9377, 837, 30, 23, 272, 27, 48, 22682, 25, 465, 36, 415, 33, 16, 15, 22, 481, 17, 22, 5433, 45, 15, 22, 481, 7, 745, 45, 19, 1260, 7, 44, 965, 23, 1268, 74, 169, 169, 74, 169, 39, 5354, 48, 10007, 27, 69, 22, 40, 69, 22, 40, 2458, 82, 965, 7, 1260, 45, 87, 74, 38, 102, 2590, 27, 69, 22, 40, 2458, 1291, 74, 1291, 6 ]

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

[ 5, 18, 14, 646, 7, 222, 45, 87, 69, 22, 40, 424, 102, 16, 5739, 135, 27, 18, 18, 479, 422, 22, 253, 54, 22, 17986, 14, 1695, 7, 634, 27, 1291, 28, 16, 136, 1291, 20728, 1291, 100, 54, 22, 5288, 14, 348, 275, 71, 2730, 406, 883, 13, 79, 203, 100, 54, 22, 5288, 14, 271, 41, 7, 634, 27, 28, 16, 136, 1291, 38, 102, 1291, 104, 104, 21, 50, 8122, 274, 1061, 17, 22, 785, 100, 30, 7019, 100, 30, 7019, 38, 102, 1291, 38, 102, 1291, 1291, 48, 140, 22, 2110, 230, 27, 48, 17864, 424, 102, 9340, 1964, 24, 6514, 1291, 74, 48, 425, 21, 745, 25, 344, 154, 7, 90, 191, 74, 7, 1006, 7, 6514, 527, 27, 69, 22, 40, 424, 102, 1291, 906, 102, 87, 121, 18, 128, 64, 5412, 19, 5244, 64, 5412, 19, 5244, 424, 102, 7, 136, 21, 136, 408, 236, 408, 236, 13, 121, 18, 128, 64, 2784, 37, 5726, 14, 210, 1291, 32, 7497, 424, 102, 221, 18, 18, 534, 11, 7, 221, 18, 7, 197, 12, 134, 1291, 7, 2241, 7, 3771, 1291, 424, 102, 7, 3746, 424, 102, 77, 44, 6514, 19, 12775, 19, 5350, 948, 23, 19, 18005, 341, 4175, 424, 102, 32, 54, 23, 1006, 32, 55, 424, 102, 14, 89, 281, 45, 87, 424, 102, 30, 23, 272, 27, 38, 102, 424, 102, 14, 89, 281, 14, 89, 281, 1291, 221, 14, 89, 281, 1291, 1291, 1291, 1291, 1291, 55, 55, 221, 424, 102, 221, 19, 19, 18005, 341, 4175, 19, 14086, 72, 597, 69, 22, 40, 203, 19, 19, 14086, 72, 1291, 14086, 72, 1291, 69, 22, 40, 203, 1291, 19, 14086, 72, 1291, 13, 3820, 55, 18, 18, 1051, 1006, 2007, 27, 20, 3, 27, 391, 48, 16492, 135, 74, 906, 102, 87, 18, 1051, 2007, 55, 18, 1051, 7, 15, 22, 2466, 14, 15, 22, 1198, 2548, 1291, 424, 102, 18, 1051, 7, 15, 22, 3643, 408, 236, 408, 236, 18, 1051, 7, 24, 19, 6077, 11, 203, 55, 19, 1137, 1051, 527, 27, 48, 7229, 56, 109, 38, 28, 12, 9950, 109, 38, 6014, 7, 191, 1376, 13, 417, 27, 16, 599, 50, 49, 196, 39, 494, 28, 12, 622, 27, 12, 576, 18005, 341, 1964, 32, 2047, 274, 130, 32, 38, 19, 303, 1065, 1824, 1824, 7, 12, 458, 723, 7, 59, 2711, 906, 102, 87, 16, 194, 144, 78, 475, 23, 1268, 895, 296, 109, 768, 41, 7, 191, 1376, 527, 27, 12, 952, 23, 3392, 100, 52, 22, 57, 39, 7, 1137, 5594, 100, 38, 12, 576, 32, 2047, 14, 12, 443, 13, 32, 38, 19, 303, 32, 30, 20767, 7, 54, 22, 6895, 7, 59, 4945, 13, 32, 84, 79, 50, 107, 39, 205, 25, 3710, 24, 28124, 203, 69, 22, 40, 39, 414, 208, 100, 64, 100, 64, 3712, 26234, 35, 121, 18, 2155, 208, 109, 21, 38, 6014, 32, 5064, 37, 1376, 26, 379, 1456, 3470, 114, 2155, 1291, 56, 6 ]

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

[ 5, 12775, 25, 1961, 36, 415, 74, 38, 102, 169, 69, 22, 40, 39, 203, 84, 39, 250, 17, 22, 68, 169, 69, 22, 40, 148, 1097, 21615, 169, 69, 22, 40, 14674, 203, 84, 1097, 1353, 1961, 1097, 1353, 69, 22, 40, 12, 1097, 1353, 1961, 7, 17, 22, 2601, 108, 153, 1097, 1353, 1097, 1353, 32, 88, 275, 104, 19, 6899, 46, 18, 3081, 21615, 11, 408, 236, 25, 1954, 36, 415, 74, 1097, 1353, 1097, 1353, 38, 102, 1291, 4931, 74, 1097, 1353, 12, 1097, 1353, 1097, 1353, 208, 28, 12, 28, 12, 16789, 48, 12661, 945, 424, 102, 18, 4672, 18, 4672, 1291, 13, 18, 8120, 48, 18, 1097, 135, 28, 12, 1097, 1353, 74, 1291, 1097, 1353, 1291, 13, 30, 23, 272, 27, 69, 22, 40, 19, 41, 69, 22, 40, 41, 1172, 26, 12, 1097, 1353, 17, 22, 561, 19, 2725, 46, 12, 16789, 27, 26, 12, 1097, 10866, 17, 22, 561, 19, 2725, 46, 12, 1097, 1353, 74, 13, 12, 1097, 1353, 130, 38, 38, 19, 10237, 11, 1006, 19, 2725, 28, 18, 117, 454, 130, 21, 38, 46, 12, 16789, 77, 130, 30, 20767, 17, 22, 93, 205, 108, 46, 12, 1097, 10866, 18, 3325, 36, 415, 252, 55, 87, 16058, 424, 102, 17, 22, 561, 19, 2725, 46, 12, 1097, 10866, 18, 7695, 108, 18, 5686, 466, 14, 17203, 56, 895, 29, 11991, 282, 424, 102, 160, 18, 5686, 424, 102, 54, 22, 18169, 111, 466, 33, 15, 22, 1463, 7, 12, 1097, 10866, 208, 7, 36, 114, 6899, 56, 109, 38, 1006, 7, 36, 114, 1291, 109, 38, 19, 6899, 122, 18, 3081, 275, 100, 230, 6057, 23, 344, 15941, 36, 415, 26, 48, 51, 22, 40, 23, 272, 27, 203, 657, 335, 74, 344, 15941, 20728, 20, 3, 203, 391, 69, 22, 40, 69, 22, 40, 15, 22, 1216, 21, 6516, 32, 281, 41, 27, 16, 84, 17, 22, 179, 344, 15941, 27, 25, 25, 4203, 16099, 23, 25, 5935, 25, 1954, 107, 99, 424, 102, 344, 15941, 15, 22, 1216, 69, 22, 40, 597, 25, 48, 425, 8804, 25, 154, 74, 21608, 13, 17, 22, 179, 424, 102, 15941, 69, 22, 40, 424, 102, 17, 22, 179, 466, 424, 102, 7, 79, 97, 26, 205, 59, 1925, 815, 1006, 13, 365, 16, 110, 93, 13, 10038, 49, 97, 29, 198, 39, 368, 2822, 37, 1322, 26, 851, 14, 12, 3386, 15818, 3117, 203, 203, 84, 26, 8538, 29, 3386, 8538, 424, 102, 29, 547, 443, 424, 102, 203, 69, 22, 40, 15, 22, 1216, 344, 15941, 14, 52, 23, 14, 127, 1130, 14, 64, 597, 13, 30, 23, 272, 27, 28, 12, 614, 100, 107, 3819, 424, 102, 12, 1097, 17, 22, 68, 370, 14, 90, 1130, 74, 15, 22, 14108, 84, 39, 16, 21402, 11796, 140, 22, 13162, 203, 424, 102, 203, 12318, 7, 41, 21, 41, 36, 415, 100, 50, 1206, 41, 424, 102, 18, 7467, 1406, 21, 2828, 203, 69, 22, 40, 28, 29, 6 ]

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

[ 5, 11429, 11429, 12786, 906, 113, 22, 1384, 165, 25, 357, 906, 17, 22, 10613, 9915, 28, 16, 413, 17, 22, 58, 3711, 46, 25, 3602, 153, 71, 7411, 205, 7, 12, 7783, 19290, 19290, 867, 16, 700, 69, 22, 40, 51, 22, 263, 11069, 7, 1435, 8380, 127, 7783, 30, 17989, 1291, 71, 1123, 203, 71, 71, 8436, 17, 22, 1259, 208, 71, 1306, 48, 1282, 906, 7, 4224, 22492, 48, 52, 22, 6031, 39, 906, 16218, 35, 169, 169, 11796, 13, 48, 1734, 39, 20593, 69, 22, 40, 25755, 17, 22, 1259, 169, 169, 169, 69, 22, 40, 25755, 17, 22, 1259, 208, 906, 153, 2132, 906, 274, 48, 7306, 25, 154, 158, 1434, 21, 1137, 906, 1291, 25, 154, 77, 71, 1743, 71, 1743, 39, 21, 364, 271, 527, 27, 1291, 69, 22, 40, 9126, 402, 8997, 35, 333, 1291, 1291, 87, 890, 71, 48, 18, 1370, 13, 365, 48, 139, 4830, 11796, 169, 203, 71, 48, 44, 27, 71, 1743, 69, 22, 40, 25, 1091, 19, 18222, 11, 513, 466, 208, 203, 220, 87, 56, 109, 38, 39, 7, 1051, 56, 109, 38, 69, 22, 40, 203, 20, 3, 16, 513, 391, 1291, 208, 554, 304, 13, 25, 344, 154, 15, 22, 7608, 17, 22, 1259, 96, 446, 328, 1279, 3714, 3825, 92, 56, 109, 38, 16, 1709, 19, 6373, 4917, 13, 16, 1709, 658, 14, 12, 254, 402, 215, 333, 906, 305, 96, 13131, 11, 3876, 891, 911, 8265, 92, 185, 69, 22, 40, 24, 2519, 3478, 11796, 402, 215, 333, 56, 109, 38, 96, 446, 328, 1279, 3714, 14, 12, 786, 92, 203, 69, 22, 40, 7487, 69, 22, 40, 466, 4142, 63, 824, 527, 27, 69, 22, 40, 19, 25, 7707, 4810, 33, 18, 3387, 4427, 402, 215, 333, 5569, 13, 16, 399, 1291, 44, 196, 2148, 13, 365, 12, 4002, 11360, 24, 239, 44, 32, 49, 601, 37, 182, 33, 5569, 39, 2148, 906, 305, 6156, 2132, 6156, 69, 22, 40, 79, 11796, 185, 56, 109, 38, 12, 15969, 96, 211, 2546, 9428, 92, 153, 305, 208, 4232, 135, 906, 203, 56, 109, 38, 597, 10407, 69, 22, 40, 25, 1709, 17, 22, 1832, 33, 12, 304, 153, 44, 51, 22, 86, 107, 548, 28, 12, 304, 18, 7391, 18, 634, 82, 203, 69, 22, 40, 466, 25, 1709, 69, 22, 40, 25, 1709, 3809, 69, 22, 40, 29, 168, 36, 625, 11796, 867, 69, 22, 40, 16, 1220, 689, 13, 71, 1306, 21, 364, 311, 1291, 13, 365, 71, 1306, 364, 4519, 23, 8196, 867, 2132, 4519, 23, 8196, 96, 13131, 11, 3876, 891, 911, 8265, 92, 13, 18, 2475, 169, 39, 4519, 23, 8196, 51, 22, 40, 44, 27, 71, 1743, 335, 906, 4519, 23, 8196, 2475, 13, 311, 82, 203, 2475, 402, 215, 333, 208, 203, 71, 1323, 39, 6156, 203, 203, 71, 1306, 39, 48, 18, 4577, 75, 203, 71, 48, 18, 621, 1289, 48, 445, 16, 283, 17, 22, 1947, 104, 280, 22, 167, 41, 11796, 6 ]

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

[ 5, 6648, 11, 417, 7, 2875, 7, 2832, 417, 7, 4162, 7, 2298, 13, 1291, 13, 15, 22, 25632, 7, 12, 584, 13, 155, 7, 306, 408, 236, 45, 757, 208, 424, 102, 19, 5948, 1291, 16, 3710, 52, 22, 40, 71, 1814, 39, 21, 3115, 424, 102, 7, 424, 102, 7, 12, 1221, 27, 15, 22, 86, 38, 1291, 45, 757, 77, 30, 23, 272, 27, 48, 445, 424, 102, 71, 1123, 39, 450, 203, 54, 22, 3579, 21, 384, 1006, 30, 23, 272, 27, 48, 4776, 135, 29, 2403, 21, 21, 3332, 21, 587, 7, 44, 27, 48, 4959, 316, 74, 424, 102, 87, 69, 22, 40, 23, 167, 23, 1504, 280, 22, 167, 15, 22, 470, 636, 100, 186, 3470, 2099, 3332, 14, 154, 538, 13, 185, 2015, 32, 2123, 14, 154, 1291, 538, 15, 22, 434, 2099, 24, 3710, 1291, 13, 208, 78, 405, 14, 396, 24, 249, 354, 26, 32, 74, 671, 74, 56, 64, 88, 494, 2172, 21, 3332, 38, 102, 305, 74, 1291, 100, 54, 22, 40, 4983, 33, 158, 2380, 7, 15, 22, 470, 636, 100, 38, 12314, 36, 6649, 597, 33, 16, 730, 3152, 27, 15, 22, 86, 38, 84, 18, 13951, 27, 15, 22, 86, 19404, 242, 13, 208, 332, 332, 121, 18, 239, 100, 38, 17, 23, 127, 239, 11660, 408, 236, 208, 325, 1123, 37, 499, 24, 239, 69, 22, 40, 69, 22, 40, 4567, 1291, 208, 424, 102, 15, 22, 470, 1971, 51, 22, 40, 23, 272, 51, 22, 66, 21, 25067, 57, 527, 27, 28, 114, 2353, 23, 1268, 69, 22, 40, 82, 28, 274, 271, 17, 22, 260, 17, 22, 864, 3508, 335, 100, 1976, 7, 1197, 2383, 121, 18, 689, 1010, 11, 45, 757, 208, 14, 262, 168, 56, 109, 38, 25, 1176, 7, 1197, 782, 1206, 203, 14, 80, 478, 13756, 10570, 35, 79, 424, 102, 408, 236, 9618, 13, 155, 7, 306, 332, 100, 651, 7, 598, 33, 2079, 1160, 23, 20, 3, 3248, 391, 56, 109, 38, 117, 1171, 7, 7140, 27, 71, 71, 4119, 7, 2010, 906, 102, 87, 71, 15, 22, 8223, 71, 18, 1551, 39, 23011, 11, 14, 996, 527, 27, 56, 109, 21, 228, 26, 424, 102, 117, 287, 408, 236, 117, 287, 45, 757, 32, 69, 22, 40, 13, 424, 102, 10515, 13, 44, 32, 30, 1081, 41, 5168, 27, 424, 102, 27, 44, 27, 15, 22, 86, 228, 188, 127, 9618, 32, 186, 1934, 14, 12, 697, 1291, 26, 541, 114, 20309, 69, 22, 40, 112, 87, 69, 22, 40, 15, 22, 5931, 69, 22, 40, 16, 3231, 77, 13119, 51, 22, 66, 109, 768, 39, 17, 22, 5787, 11, 527, 51, 22, 519, 18165, 11, 100, 19735, 114, 4767, 208, 110, 371, 56, 109, 38, 19, 4767, 45, 757, 87, 348, 71, 140, 22, 93, 38, 1455, 272, 16143, 527, 27, 238, 6663, 71, 12, 235, 153, 71, 20413, 203, 8273, 39, 408, 236, 208, 332, 2300, 12, 2068, 208, 56, 109, 768, 6 ]

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

[ 5, 8049, 24, 6258, 24, 4305, 20, 10, 61, 1459, 21033, 489, 19253, 20, 8, 54, 22, 56, 109, 38, 312, 20, 10, 978, 896, 20, 10, 43, 3457, 7, 9781, 50, 1103, 20, 8, 28, 726, 136, 20, 8, 99, 12095, 63, 1459, 21033, 32, 50, 15, 22, 4017, 324, 8700, 20, 8, 45, 32, 52, 22, 109, 4017, 39, 95, 19253, 20, 10, 978, 12093, 20, 10, 61, 1933, 11242, 7, 9781, 489, 6928, 33, 18, 16097, 36, 15, 22, 15479, 7, 15, 22, 1114, 3721, 20, 8, 9569, 51, 22, 252, 129, 2996, 95, 3971, 137, 13, 4904, 21, 196, 1934, 21, 5494, 7, 15, 22, 3027, 27683, 20, 10, 6768, 2682, 20, 10, 517, 1752, 20, 10, 5841, 75, 1211, 16, 126, 10518, 2872, 11, 35, 625, 14236, 20, 10, 1164, 8453, 7828, 16, 126, 5208, 1644, 276, 20, 7922, 2880, 20, 10, 978, 18675, 20, 10, 43, 1752, 7, 79, 1173, 1606, 14, 15, 22, 5241, 7, 85, 563, 8582, 20, 8, 30, 37, 312, 144, 56, 38, 59, 1721, 3542, 20, 10, 978, 19706, 20, 10, 43, 1176, 7, 1752, 54, 22, 21227, 57, 36, 16, 84, 17, 22, 29, 10820, 3365, 28, 25, 277, 312, 20, 8, 9365, 14, 15, 22, 8308, 17, 22, 109, 7466, 59, 1721, 3542, 20, 10, 978, 18196, 20, 10, 53, 1715, 7, 15, 22, 8308, 25067, 57, 17, 22, 29, 2279, 15944, 20, 8, 1934, 417, 14, 12, 7627, 24, 312, 27, 15, 22, 100, 3467, 57, 20, 8, 51, 22, 14, 427, 24, 312, 144, 100, 768, 8865, 59, 1752, 20, 10, 978, 14714, 20, 10, 386, 2341, 7, 2279, 15944, 20, 8, 12, 1715, 7, 15, 22, 8308, 24157, 19, 4853, 20, 10, 978, 20547, 20, 10, 43, 4461, 2391, 14, 29, 587, 882, 7167, 45, 484, 11507, 816, 20, 8, 3352, 57, 16, 1752, 51, 22, 56, 228, 5220, 20, 8, 54, 22, 20, 3, 56, 391, 52, 22, 38, 39, 14294, 17, 22, 8308, 1397, 20, 10, 978, 20307, 20, 10, 60, 22, 18176, 7, 2135, 29987, 72, 14, 145, 20, 8, 14590, 57, 1778, 5608, 7152, 24, 1752, 24, 14672, 28, 16, 312, 144, 56, 258, 5689, 114, 2135, 20, 10, 978, 18764, 20, 10, 53, 576, 9416, 52, 22, 38, 324, 17, 22, 277, 1752, 27, 359, 7, 59, 2711, 20, 10, 43, 6946, 169, 20, 24319, 143, 768, 59, 1752, 274, 85, 983, 13, 1138, 45, 18368, 31, 16, 3519, 3965, 768, 16, 110, 93, 274, 59, 11432, 1506, 20, 10, 978, 20602, 20, 10, 61, 6918, 32, 6668, 45, 5064, 8441, 274, 17161, 2996, 16, 104, 1752, 27, 12, 370, 51, 22, 252, 6668, 45, 274, 740, 252, 5064, 20, 8, 1094, 22, 252, 2375, 1064, 46, 130, 28, 12, 104, 443, 20, 10, 978, 8677, 20, 10, 43, 312, 144, 12, 6625, 54, 22, 22606, 20, 8, 196, 9905, 36, 16, 1752, 20, 10, 978, 16807, 20, 10, 4571, 22, 25, 3027, 31865, 20, 8, 7, 12, 331, 19, 1459, 45, 7, 15, 22, 29, 17, 22, 6 ]

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

[ 5, 28, 18, 13314, 7, 1145, 218, 102, 16132, 45, 24, 2452, 29236, 20, 10, 1411, 854, 20, 8, 15, 22, 7059, 236, 6020, 1074, 54, 22, 21, 4228, 242, 21, 4222, 57, 11601, 13, 21, 24172, 19, 28346, 796, 32, 424, 2819, 13282, 18, 1458, 11, 5807, 5808, 20, 8, 26, 851, 2068, 37, 703, 29, 3766, 51, 22, 56, 52, 22, 23383, 39, 13196, 28, 78, 609, 7, 12, 6048, 20, 10, 61, 1305, 24, 13159, 23, 200, 23, 14371, 50, 5477, 10826, 366, 51, 22, 29, 1846, 23, 4273, 135, 4602, 7, 20519, 7, 13648, 20, 8, 19, 1929, 2236, 7911, 7, 13180, 13, 207, 15640, 5970, 7, 19058, 20, 10, 181, 15, 22, 29, 17, 22, 615, 49, 13426, 29, 5542, 5540, 1699, 25117, 35, 7, 3939, 19797, 7, 9321, 7, 4892, 20, 8, 46, 29, 2476, 7, 15286, 5582, 35, 32, 23567, 99, 16, 1801, 7, 15, 22, 1019, 220, 2461, 24, 22168, 20, 10, 626, 16, 3379, 258, 99, 12, 11, 7, 78, 6413, 14, 543, 12, 9432, 20, 8, 12, 9383, 13, 15, 22, 15816, 20, 8, 139, 9477, 67, 165, 14, 12, 706, 1392, 25, 154, 9590, 24, 2452, 3657, 20, 8, 14, 12, 1298, 20, 8, 160, 12, 10787, 21, 3906, 242, 37, 2151, 44, 4854, 12386, 1371, 102, 9033, 9281, 28, 12, 4709, 6917, 24, 173, 2529, 20, 10, 132, 16786, 1448, 15, 143, 17100, 7, 85, 3016, 4540, 12, 6425, 7, 12, 10787, 20, 8, 13, 7, 136, 21, 136, 38, 1151, 11877, 16, 996, 17, 22, 25, 9959, 1873, 7, 511, 35, 26680, 14, 12, 5942, 755, 21332, 20, 8, 13, 80, 1805, 484, 24838, 7536, 3239, 6563, 75, 28, 15, 22, 19591, 29, 13648, 1151, 1360, 9033, 37, 1240, 19, 117, 45, 311, 18689, 11, 17303, 11, 37, 2438, 20, 10, 43, 194, 32, 17026, 337, 36, 16, 1278, 25226, 1378, 280, 22, 37, 5285, 20, 8, 119, 97, 7, 17983, 20, 8, 54, 22, 20506, 1159, 8951, 33, 18, 18310, 21, 20108, 2828, 9033, 11, 13, 20, 3, 2123, 391, 6114, 16, 1448, 41, 19467, 20, 8, 21, 1254, 27, 28, 285, 20, 9033, 2322, 12, 16285, 104, 6990, 21451, 20, 10, 1527, 12, 15016, 24, 22317, 56, 23383, 6446, 28, 12, 3664, 4449, 35, 20, 8, 13, 15, 22, 18526, 23383, 16686, 16, 16124, 20, 10, 60, 22, 2813, 9333, 17559, 57, 3273, 503, 228, 2434, 36, 49, 387, 14, 29239, 75, 20, 8, 13, 16, 9959, 1873, 1929, 2236, 10332, 28, 16, 3184, 82, 29, 370, 38, 11, 916, 5524, 31, 207, 3939, 7, 12781, 20, 8, 26521, 46, 15, 22, 10521, 8035, 20, 8, 20, 6530, 1389, 559, 27, 12, 12110, 10388, 35, 24, 1426, 228, 95, 699, 14, 3904, 26, 44, 20, 13863, 232, 41, 27, 54, 14275, 2567, 20, 10, 132, 2102, 2684, 1376, 20, 8, 16786, 20, 8, 6057, 1308, 82, 25, 3551, 8173, 1204, 17, 22, 2989, 13, 160, 16, 12208, 8466, 12, 8951, 314, 36, 2737, 12, 1320, 2828, 9033, 20, 8, 186, 7149, 33, 59, 1572, 6 ]

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

[ 5, 1165, 291, 6248, 127, 13029, 76, 460, 54, 22, 38, 4779, 1817, 19, 5970, 20, 14998, 11262, 11, 20, 8, 365, 25, 10516, 7, 634, 47, 32, 2146, 107, 23, 179, 2254, 65, 20, 8, 2077, 51, 22, 29, 3912, 14, 1290, 34, 56, 21, 219, 195, 28, 29, 443, 1889, 20, 8, 814, 19, 8111, 11, 20, 8, 29, 2387, 17, 22, 29300, 341, 20, 8, 29, 16279, 21, 173, 51, 22, 252, 50, 7794, 2819, 5765, 20, 8, 25, 28817, 13, 104, 25, 24299, 47, 429, 14660, 23, 18915, 11, 8502, 65, 26, 19, 3091, 7, 1256, 20, 8, 110, 12, 17485, 89, 21, 14116, 20, 10, 70, 50, 560, 39, 430, 20, 8, 169, 41, 34, 217, 100, 50, 107, 39, 195, 1132, 2299, 1889, 20, 8, 17, 22, 205, 207, 1793, 4477, 7, 2527, 20, 8, 13, 252, 21, 1604, 693, 1817, 20, 8, 813, 20, 18665, 11, 592, 668, 7, 326, 110, 909, 465, 186, 498, 47, 25, 465, 7, 3864, 65, 20, 10, 2222, 15882, 20, 15264, 17100, 12, 395, 31, 773, 6204, 76, 64, 52, 22, 14007, 39, 487, 7, 3864, 20, 10, 773, 138, 22, 953, 113, 22, 1551, 12, 18298, 20, 8, 4439, 234, 9000, 4779, 20, 10, 138, 22, 4188, 20, 8, 252, 54, 22, 27539, 559, 20, 10, 2222, 15882, 14590, 242, 85, 6553, 20, 8, 234, 9000, 4779, 80, 329, 1549, 3879, 137, 100, 3452, 242, 993, 19, 23889, 13, 46, 25, 154, 7, 4807, 7, 1298, 44, 560, 87, 6699, 20, 10, 460, 54, 22, 613, 21244, 7, 18017, 79, 222, 20, 8, 77, 89, 2413, 5905, 5837, 20, 10, 3522, 159, 4250, 18, 18671, 4885, 11, 20, 10, 2222, 15882, 20, 8, 32, 21700, 27627, 33, 59, 569, 2074, 1050, 13, 18, 17983, 11, 21, 2299, 26, 400, 18421, 75, 80, 1004, 3868, 12400, 20, 8, 28442, 337, 59, 5822, 7, 22891, 125, 79, 21, 15961, 7192, 17, 22, 25, 3218, 16640, 85, 12630, 23576, 11, 20, 10, 20, 3, 234, 9000, 4779, 391, 20, 8, 8901, 2139, 33, 25, 243, 12005, 3336, 7, 13648, 20, 8, 7414, 11877, 195, 18, 113, 7509, 3170, 7, 80, 1365, 7623, 20, 8, 77, 21, 20, 4350, 351, 3300, 18, 52, 994, 2979, 20, 8, 8776, 14541, 18, 7237, 20, 8, 82, 54, 22, 56, 228, 1329, 7, 10566, 59, 2599, 20, 10, 463, 1435, 23, 12031, 239, 7, 2044, 20, 8, 252, 52, 22, 1069, 366, 1432, 20, 10, 460, 20136, 19, 4034, 28, 121, 18, 8200, 7, 210, 20, 8, 13, 172, 20022, 280, 22, 14, 1266, 504, 7967, 20, 8, 13, 7, 26865, 280, 22, 37, 11087, 20, 10, 460, 14232, 29, 1143, 32, 7671, 87, 12, 1143, 20, 8, 119, 2069, 3394, 14, 25, 151, 17945, 20, 8, 77, 25, 18427, 20, 20292, 143, 18, 1938, 4515, 11, 5229, 20, 10, 460, 7794, 103, 559, 16, 16735, 19, 16702, 13, 390, 4273, 8056, 1142, 12, 9432, 20, 10, 13294, 351, 1515, 252, 49, 13419, 1790, 20, 8, 365, 6820, 7192, 7, 49, 31955, 6 ]

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

[ 5, 13, 2317, 81, 51, 9, 56, 7, 4541, 3868, 10515, 20, 10, 70, 54, 9, 109, 3645, 57, 46, 11288, 20, 10, 224, 16, 49, 7186, 57, 41, 813, 13, 16, 18187, 57, 36, 12, 697, 251, 12, 7962, 13, 18, 303, 20, 8, 26, 51, 9, 56, 49, 140, 7474, 14, 13617, 20, 10, 171, 56, 4508, 8221, 13978, 20, 8, 30442, 20, 8, 13, 17713, 337, 12, 697, 7, 80, 1138, 20, 10, 70, 49, 54, 263, 1696, 1006, 37, 907, 19, 12486, 32, 5943, 559, 20, 10, 70, 54, 9, 21, 3239, 20, 8, 16, 649, 25117, 20, 8, 12, 2413, 21382, 35, 7, 3910, 13, 19, 15445, 11, 51, 9, 56, 228, 10743, 20, 10, 70, 514, 2236, 17100, 7, 50, 39, 1481, 20, 8, 13, 56, 408, 3868, 242, 16, 39, 20, 8, 527, 51, 9, 56, 50, 3929, 39, 14570, 28, 12, 614, 20, 10, 70, 860, 2317, 99, 16056, 20, 8, 26, 49, 12049, 7, 85, 9158, 137, 56, 228, 12, 9304, 10974, 35, 20, 8, 16, 1806, 14, 12, 622, 31, 56, 7577, 242, 20, 10, 1202, 20, 8, 56, 18295, 137, 56, 183, 862, 21, 1942, 16, 145, 66, 17327, 1376, 20, 8, 280, 9, 14, 80, 14106, 11025, 28, 15, 9, 7569, 3781, 1104, 17, 9, 29, 4659, 20, 8, 37, 23, 1566, 24, 6131, 137, 56, 54, 9, 109, 71, 862, 1204, 17, 9, 23009, 137, 13, 44, 603, 25, 30119, 7, 11168, 11, 20, 10, 70, 50, 6717, 39, 37, 618, 671, 56, 11168, 242, 137, 77, 56, 3055, 51, 9, 56, 11168, 3868, 137, 13, 275, 16, 249, 11314, 603, 14, 154, 538, 677, 20, 8, 56, 11168, 57, 148, 20, 8, 527, 51, 9, 56, 3929, 14570, 20, 8, 46, 29, 1254, 7, 11288, 20, 8, 26, 49, 97, 10014, 20, 8, 82, 54, 9, 56, 12144, 7541, 155, 18, 209, 20, 8, 21, 104, 136, 27, 129, 20, 10, 1712, 20, 8, 20, 3, 56, 391, 20, 7203, 57, 27, 59, 983, 3239, 4833, 20, 8, 27, 80, 1138, 5668, 242, 79, 13, 27, 85, 10374, 11, 52, 9, 613, 39, 538, 7, 89, 254, 20, 10, 70, 10301, 81, 7, 10889, 20, 8, 52, 9, 4238, 144, 20, 8, 26, 50, 41, 2334, 371, 20, 10, 7179, 37, 310, 144, 56, 7776, 242, 20, 8, 56, 49, 17572, 57, 14, 59, 983, 32, 29671, 337, 20, 10, 101, 787, 1610, 67, 948, 332, 20, 8, 11943, 74, 144, 10097, 67, 948, 74, 13021, 5278, 1840, 433, 20, 10, 70, 50, 1860, 242, 39, 20, 10, 101, 986, 38, 11, 84, 617, 54, 13556, 11, 35, 20, 10, 874, 9, 30, 67, 272, 27, 325, 38, 11, 84, 74, 3686, 49, 918, 15912, 30643, 125, 20, 10, 101, 874, 9, 30, 67, 272, 27, 325, 38, 11, 84, 74, 21216, 57, 5278, 1840, 433, 20, 10, 448, 921, 67, 948, 1020, 74, 60, 9, 940, 49, 7966, 14, 14570, 20, 8, 13, 5278, 1840, 433, 14, 17827, 20, 8, 7, 41, 21, 41, 6 ]

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

[ 5, 129, 608, 14, 1481, 27, 71, 16, 129, 13140, 36, 29411, 20, 10, 141, 32, 20, 8, 377, 348, 20, 8, 2396, 7042, 16, 6676, 28, 15, 22, 5584, 7, 1303, 2082, 20, 8, 13, 20, 8, 7, 41, 20, 8, 140, 22, 7655, 80, 2655, 20, 10, 171, 20, 8, 15, 22, 185, 23, 2480, 20, 8, 56, 5560, 81, 59, 1867, 37, 5799, 7, 59, 744, 20, 10, 711, 21966, 20, 8, 160, 130, 6717, 18, 8470, 20, 8, 54, 22, 21, 186, 3971, 2172, 14, 130, 24, 2165, 7, 1023, 89, 6522, 20, 10, 171, 80, 1138, 3929, 14, 197, 800, 12, 1092, 20, 10, 1303, 2082, 20, 8, 1006, 20, 8, 21, 129, 6036, 1830, 7, 50, 39, 97, 7, 6507, 11, 20, 8, 228, 2895, 7, 1059, 706, 20, 10, 224, 2396, 20, 8, 44, 194, 67, 1268, 20, 8, 1023, 207, 6553, 26, 89, 1492, 14, 6417, 20, 10, 910, 27, 71, 139, 952, 10240, 7372, 7, 50, 2163, 17, 22, 8612, 834, 45, 4566, 4141, 889, 14, 894, 19, 4357, 7, 1303, 2082, 20, 8, 56, 139, 5560, 81, 97, 25, 6608, 26, 1865, 7, 6353, 33, 16, 8347, 17, 22, 25, 39, 7219, 32, 679, 50, 54, 22, 1639, 242, 41, 46, 16, 2128, 7, 183, 649, 20, 10, 229, 5343, 17, 22, 3121, 1303, 2082, 140, 22, 8297, 81, 82, 29, 31225, 20, 10, 70, 3055, 153, 15, 22, 1131, 14, 1023, 29, 1492, 26, 130, 13, 25, 277, 76, 1712, 20, 8, 113, 22, 122, 1512, 16, 842, 7, 1023, 29, 1492, 26, 1303, 2082, 13, 26, 348, 20, 10, 133, 22, 20, 7028, 757, 110, 1012, 59, 21966, 20, 8, 51, 22, 37, 1141, 17, 22, 25, 5374, 17, 22, 1962, 7, 1263, 20, 8, 100, 140, 22, 860, 7120, 21, 139, 14136, 27, 20, 8, 28, 78, 1492, 20, 8, 25, 277, 6555, 242, 687, 17, 22, 20, 3, 130, 391, 20, 10, 711, 21966, 1809, 242, 16, 1352, 1500, 1162, 504, 20, 10, 43, 2418, 1809, 7, 1303, 2082, 186, 277, 137, 130, 860, 627, 11874, 28, 16, 4616, 20, 10, 70, 139, 5560, 81, 153, 18, 6991, 121, 117, 20, 10, 73, 22, 186, 14, 32, 1149, 242, 16, 41, 1012, 20, 10, 245, 2703, 840, 7, 1303, 2082, 20, 8, 7, 2071, 189, 44, 32, 12, 29610, 20, 8, 56, 139, 3055, 129, 9501, 16, 1397, 20, 8, 32, 50, 139, 31811, 39, 195, 20, 8, 294, 7, 139, 608, 15, 22, 10667, 7, 11912, 14, 85, 2812, 4632, 11, 20, 8, 275, 113, 22, 14161, 757, 25, 12295, 26, 25, 277, 20, 8, 32, 14702, 242, 182, 59, 9886, 20, 10, 224, 2438, 11304, 242, 31, 47, 5591, 32, 3929, 29, 1492, 4006, 20, 10, 65, 237, 22, 5347, 189, 104, 41, 140, 22, 14930, 85, 1541, 8470, 20, 8, 130, 18, 1938, 6244, 242, 14, 59, 21966, 20, 10, 124, 7, 2071, 105, 27, 28, 207, 287, 64, 18, 5892, 5484, 1335, 830, 20, 10, 2487, 71, 50, 4157, 328, 3873, 6 ]

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

[ 5, 48, 22897, 408, 236, 408, 236, 275, 100, 768, 84, 29, 409, 2384, 82, 203, 100, 54, 22, 57, 1455, 272, 504, 296, 51, 22, 86, 38, 5896, 29, 4201, 13, 100, 16569, 21, 3052, 408, 236, 408, 236, 13, 203, 69, 22, 40, 112, 2418, 69, 22, 40, 82, 18, 7327, 7, 15, 22, 1520, 21, 134, 11796, 45, 757, 29, 45, 117, 36, 625, 11796, 3314, 424, 102, 50, 49, 27051, 39, 100, 21, 1385, 29, 277, 13, 365, 69, 22, 40, 25, 514, 3868, 86, 3930, 169, 424, 102, 71, 791, 275, 104, 27, 69, 22, 40, 219, 54, 22, 93, 2915, 14, 12, 2926, 408, 236, 408, 236, 29, 2926, 100, 12, 1058, 45, 100, 12, 1058, 39, 110, 100, 12, 1058, 39, 100, 15, 23, 15, 22, 14776, 45, 757, 2132, 13, 32, 7, 48, 45, 7, 90, 576, 902, 8441, 63, 1167, 7251, 74, 45, 38, 102, 69, 22, 40, 348, 408, 236, 408, 236, 1291, 16, 13, 46, 80, 438, 424, 102, 16, 3056, 7, 12, 443, 69, 22, 40, 348, 13, 28, 12, 438, 7, 90, 576, 108, 74, 38, 102, 169, 424, 102, 63, 1167, 14, 14, 14, 85, 1167, 69, 22, 40, 238, 576, 32, 89, 902, 85, 1167, 2961, 1291, 1291, 1291, 424, 102, 408, 236, 408, 236, 203, 69, 22, 40, 77, 14, 6214, 23, 424, 102, 14, 90, 438, 69, 22, 40, 69, 22, 40, 48, 38, 102, 69, 22, 40, 348, 69, 22, 40, 348, 69, 22, 40, 348, 1291, 1291, 13, 32, 30, 23, 272, 32, 16783, 18, 8950, 10055, 74, 38, 102, 69, 22, 40, 348, 1291, 18, 3939, 17, 22, 15991, 69, 22, 40, 48, 74, 3939, 17, 22, 3643, 424, 102, 3939, 7, 458, 7414, 69, 9699, 424, 102, 79, 79, 203, 69, 22, 40, 79, 348, 203, 69, 22, 40, 13, 30, 23, 272, 51, 22, 66, 109, 38, 29, 578, 671, 14, 740, 48, 48, 18, 12591, 23, 74, 450, 74, 30, 23, 272, 51, 22, 66, 109, 38, 29, 578, 4421, 26, 20, 3, 740, 391, 48, 18, 29952, 74, 906, 102, 87, 527, 27, 71, 791, 27, 113, 22, 105, 1695, 15, 22, 3894, 1291, 1291, 527, 27, 238, 576, 648, 112, 87, 16, 97, 11796, 1291, 1291, 130, 15, 22, 57, 424, 84, 130, 107, 16, 97, 275, 71, 50, 235, 39, 332, 130, 54, 22, 93, 23188, 1115, 112, 87, 77, 424, 102, 130, 30, 1081, 195, 12823, 14, 19, 620, 4945, 75, 11, 424, 102, 113, 22, 105, 107, 23, 179, 1695, 7, 136, 408, 236, 408, 236, 51, 22, 162, 26, 16, 97, 13, 365, 238, 1843, 113, 22, 105, 15, 22, 3894, 1291, 1291, 13, 32, 7, 48, 45, 7, 90, 576, 1897, 12, 1233, 20, 14587, 74, 71, 1814, 27, 203, 49, 2143, 208, 332, 1291, 38, 102, 48, 3392, 13, 12, 41, 727, 12, 41, 727, 7623, 74, 208, 332, 69, 22, 40, 2934, 17, 22, 18197, 71, 50, 6 ]

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

[ 5, 169, 14081, 2294, 14, 15, 22, 23846, 1181, 202, 15706, 72, 74, 1291, 424, 102, 48, 3392, 424, 102, 450, 48, 1031, 23, 1291, 74, 48, 608, 25, 411, 14, 44, 965, 7, 6599, 424, 102, 48, 9851, 135, 27, 12, 1078, 633, 49, 18881, 45, 87, 27, 203, 38, 39, 271, 17, 22, 2140, 74, 20728, 110, 348, 71, 529, 27, 203, 38, 7, 15, 22, 2140, 38, 102, 1291, 1291, 271, 17, 22, 2140, 1291, 74, 1291, 38, 102, 1291, 1291, 110, 408, 236, 408, 236, 13, 51, 22, 40, 23, 272, 51, 22, 86, 107, 97, 176, 203, 14, 90, 1130, 74, 20728, 6156, 69, 22, 40, 466, 18, 883, 687, 19, 303, 18, 883, 408, 236, 1291, 527, 27, 424, 102, 48, 3392, 424, 102, 100, 230, 100, 885, 195, 203, 33, 16, 692, 7, 15, 22, 27694, 38, 102, 15, 22, 27694, 56, 21, 84, 56, 56, 84, 80, 1097, 56, 52, 22, 93, 84, 14, 56, 38, 59, 692, 77, 14, 12, 443, 12, 443, 348, 71, 529, 38, 102, 17, 22, 1259, 27, 69, 22, 40, 69, 22, 40, 11238, 424, 102, 18, 18, 15, 22, 4811, 7, 12, 443, 424, 102, 44, 27, 18, 303, 20, 16397, 44, 27, 18, 303, 5901, 424, 102, 38, 102, 1291, 38, 102, 1291, 38, 102, 1291, 69, 22, 40, 11238, 19, 168, 19, 168, 203, 89, 2751, 39, 195, 77, 252, 109, 2053, 13, 527, 27, 252, 2037, 39, 99, 6442, 11, 77, 252, 109, 2053, 4600, 252, 109, 2053, 13, 71, 529, 27, 69, 22, 40, 466, 203, 12, 1291, 74, 69, 22, 40, 15, 22, 4811, 3659, 38, 102, 1291, 1291, 30, 23, 272, 27, 48, 4389, 51, 22, 86, 1065, 25763, 18, 18, 3573, 18, 54, 24099, 2058, 14, 12, 1742, 14, 12, 2659, 424, 102, 14, 745, 424, 102, 25, 384, 18098, 14, 20, 3, 90, 1130, 391, 348, 71, 1814, 51, 22, 256, 54, 22, 103, 2804, 361, 275, 104, 600, 87, 252, 54, 22, 103, 2804, 361, 1291, 13, 365, 208, 1291, 69, 22, 40, 203, 7229, 113, 22, 105, 606, 51, 22, 66, 109, 228, 29, 6350, 3470, 71, 12, 1140, 757, 29, 6350, 17, 22, 20, 14587, 38, 102, 305, 14, 12, 2659, 74, 1291, 109, 38, 29, 6350, 14, 12, 2659, 29, 6350, 17, 22, 14587, 32, 38, 312, 424, 102, 28, 12, 1507, 82, 203, 13, 208, 424, 102, 13, 104, 16, 424, 102, 71, 50, 1123, 39, 110, 71, 15, 22, 105, 39, 518, 25, 913, 45, 25, 938, 1010, 208, 32, 48, 16629, 18, 865, 208, 252, 48, 3753, 19, 11821, 11, 13, 365, 208, 252, 20, 26574, 19, 607, 28, 12, 614, 38, 102, 305, 113, 22, 105, 606, 38, 102, 305, 27, 203, 49, 11798, 28, 12, 614, 78, 6350, 23, 1268, 13, 27, 252, 885, 8056, 29, 4213, 33, 25, 2525, 13, 27, 252, 14361, 559, 29, 370, 26, 335, 10010, 424, 102, 424, 102, 48, 655, 135, 6 ]

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

[ 5, 271, 14, 1006, 37, 25842, 1291, 100, 15, 22, 57, 527, 23, 798, 100, 52, 22, 4745, 39, 5487, 7, 1368, 7, 2659, 77, 183, 2711, 14, 25, 29, 417, 35, 424, 102, 32, 9711, 242, 14994, 1291, 32, 18313, 271, 183, 2711, 13, 78, 417, 35, 130, 18313, 271, 1222, 527, 27, 69, 22, 385, 25, 5251, 32, 22022, 208, 424, 102, 130, 64, 38, 901, 59, 1368, 38, 102, 1291, 7, 2659, 208, 424, 102, 64, 15, 22, 2787, 424, 37, 239, 7, 420, 424, 102, 15, 22, 470, 636, 408, 236, 408, 236, 77, 275, 56, 38, 5560, 12, 97, 3595, 13, 27, 100, 64, 38, 230, 9252, 2919, 6267, 26, 16, 97, 3595, 9252, 2919, 6267, 41, 424, 102, 117, 2919, 6267, 7, 7, 7, 7, 7, 17893, 38, 102, 1291, 208, 100, 38, 230, 169, 69, 22, 40, 39, 414, 113, 22, 105, 230, 69, 22, 40, 39, 414, 208, 33, 114, 122, 7263, 72, 183, 2711, 14, 1432, 16, 16, 424, 102, 54, 22, 40, 6454, 27, 56, 228, 25, 18552, 32, 228, 25, 1166, 32, 22022, 28, 16, 114, 634, 23, 1268, 208, 100, 38, 95, 129, 1282, 13, 238, 1843, 100, 424, 102, 56, 64, 15, 22, 57, 4405, 26, 2099, 330, 1291, 1291, 208, 332, 203, 3239, 1291, 203, 3239, 208, 100, 15, 22, 57, 424, 26, 18, 3612, 7, 1424, 119, 203, 119, 203, 100, 52, 22, 93, 860, 2590, 39, 424, 527, 27, 69, 22, 385, 39, 414, 169, 69, 22, 385, 39, 414, 1291, 26, 424, 102, 195, 46, 78, 756, 7, 7, 4723, 32, 1291, 87, 890, 18, 1196, 13, 365, 208, 424, 102, 48, 7229, 424, 102, 1222, 424, 102, 1006, 69, 22, 40, 39, 527, 27, 69, 22, 40, 16, 1166, 7, 12, 443, 77, 69, 22, 40, 56, 30, 112, 1057, 4723, 20, 3, 56, 391, 30, 243, 11416, 112, 16166, 1291, 13, 208, 424, 102, 4086, 78, 585, 1082, 424, 102, 130, 30, 130, 2566, 87, 1222, 77, 130, 30, 112, 9512, 77, 69, 22, 40, 29, 277, 537, 27, 12, 9885, 1291, 69, 22, 40, 29, 20, 1178, 57, 23, 69, 22, 40, 29, 537, 19, 654, 23, 15219, 19, 3052, 23, 6278, 11, 23, 15219, 16, 1192, 186, 268, 33, 18, 22094, 109, 228, 6446, 51, 22, 167, 16, 97, 11269, 69, 22, 40, 203, 1291, 1291, 1291, 208, 12, 4135, 30, 30, 15123, 13, 25, 3069, 7, 1460, 23, 167, 23, 18636, 32, 1263, 112, 87, 275, 16, 6561, 186, 332, 56, 2123, 16, 16, 1137, 13, 16, 1846, 1137, 77, 679, 130, 84, 41, 27, 59, 3069, 77, 252, 88, 79, 25, 30281, 7, 2353, 38, 102, 1291, 252, 88, 25, 20, 10658, 23, 29, 443, 46, 2034, 2707, 130, 38, 1034, 14331, 130, 38, 29, 443, 14, 9164, 29, 443, 14, 3224, 208, 48, 3392, 18, 6599, 424, 102, 370, 52, 22, 40, 1991, 100, 84, 100, 252, 88, 29, 412, 23, 252, 88, 29, 7240, 6 ]

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

[ 5, 381, 15, 22, 95, 203, 129, 30, 112, 969, 208, 18, 209, 279, 64, 36, 8462, 121, 21, 420, 1289, 18, 1219, 3230, 1170, 148, 7, 396, 21, 420, 13, 365, 18, 303, 36, 8056, 21, 14301, 21, 2651, 424, 102, 7, 1219, 208, 64, 78, 405, 1289, 64, 2784, 23180, 17, 22, 373, 15, 22, 4359, 753, 368, 344, 100, 220, 364, 29, 443, 41, 329, 13, 100, 258, 23180, 37, 239, 7, 476, 208, 100, 38, 230, 78, 405, 424, 102, 417, 11855, 100, 396, 57, 39, 18, 303, 396, 270, 121, 110, 48, 2182, 113, 22, 21, 1551, 117, 32, 14013, 21, 2651, 46, 18, 9913, 18, 54, 11210, 11, 597, 29, 277, 32, 220, 2595, 851, 21, 4288, 527, 51, 22, 130, 38, 84, 29, 424, 102, 4288, 6831, 21, 261, 1078, 153, 130, 396, 57, 25, 239, 21, 4288, 113, 22, 21, 1551, 25, 41, 585, 32, 331, 97, 25, 29, 14301, 7, 1219, 21, 3005, 14, 1616, 4159, 23, 446, 22790, 211, 13, 25, 4723, 32, 331, 97, 25, 2651, 54, 11210, 13, 365, 3630, 100, 6150, 14, 17203, 64, 342, 635, 19, 1219, 21, 401, 63, 5131, 17, 22, 3891, 100, 30, 5274, 21, 401, 208, 78, 405, 100, 100, 38, 230, 6156, 39, 7, 1219, 424, 102, 8505, 597, 26, 79, 16, 149, 21, 104, 136, 100, 220, 20, 27551, 78, 443, 87, 148, 25, 29, 710, 112, 914, 503, 1291, 1291, 1291, 1291, 1291, 203, 6012, 466, 51, 22, 100, 23180, 57, 37, 499, 7, 476, 119, 831, 1291, 110, 17791, 12, 12, 254, 19, 3081, 8332, 110, 48, 17593, 117, 557, 20, 3, 7, 136, 980, 391, 3270, 36, 194, 51, 22, 30, 23, 272, 27, 48, 1916, 2587, 7, 44, 136, 980, 74, 6156, 71, 10844, 11, 107, 23, 179, 1695, 7, 1367, 1291, 7229, 527, 27, 113, 22, 21, 1610, 112, 154, 71, 100, 49, 1929, 5676, 110, 100, 107, 335, 71, 140, 22, 21, 235, 6178, 35, 21, 3783, 37, 2861, 78, 405, 71, 71, 235, 21668, 82, 79, 208, 424, 102, 71, 1814, 27, 71, 10844, 11, 1695, 71, 1123, 39, 24, 8409, 113, 22, 11636, 556, 14, 12, 2811, 54, 22, 56, 109, 228, 19, 18266, 14, 17203, 8139, 11, 71, 1814, 27, 113, 22, 16470, 11, 1695, 38, 102, 1291, 1291, 13, 365, 71, 15, 16470, 11, 1695, 6012, 527, 27, 100, 1439, 14, 50, 39, 205, 16, 136, 7, 837, 271, 38, 102, 1291, 1291, 100, 16569, 107, 23, 179, 332, 23, 1566, 41, 826, 424, 102, 77, 679, 424, 102, 13114, 19, 303, 25, 344, 154, 14, 90, 1130, 51, 22, 30, 23, 272, 51, 22, 100, 1065, 2033, 466, 63, 303, 14, 15, 22, 2456, 74, 6156, 71, 791, 51, 22, 100, 1065, 89, 2033, 424, 102, 1006, 2124, 18, 303, 1291, 14, 919, 2563, 48, 4389, 74, 424, 102, 12, 971, 13, 79, 14, 44, 324, 7, 518, 332, 48, 2182, 335, 169, 74, 424, 102, 52, 22, 6 ]

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

[ 5, 3982, 19, 209, 8949, 7, 15, 22, 7544, 20, 10, 120, 20, 10, 70, 30, 2500, 7, 15, 22, 11547, 7, 15, 22, 7544, 20, 10, 70, 2876, 12, 3072, 2218, 7, 359, 67, 240, 20, 10, 70, 13793, 16, 241, 7, 1650, 3809, 13, 16, 241, 7, 10274, 4123, 2454, 93, 8928, 11, 13, 18, 655, 37, 908, 1970, 185, 3181, 24, 908, 10894, 20, 10, 70, 9681, 18, 3395, 7, 6066, 13, 18, 581, 24, 515, 8706, 20, 8, 19619, 36, 16, 908, 10894, 3835, 14, 15, 22, 570, 318, 5432, 164, 156, 17, 1889, 20, 10, 70, 9681, 18, 581, 24, 815, 5443, 7, 15, 22, 7544, 20, 10, 126, 20, 10, 43, 534, 7, 15, 22, 7544, 30, 1536, 36, 16, 908, 1970, 20, 8, 33, 29, 924, 7, 311, 3119, 3201, 36, 16, 908, 10894, 20, 10, 70, 30, 3158, 26, 311, 128, 20, 10, 711, 3015, 107, 99, 15408, 29, 168, 20, 10, 978, 265, 118, 20, 10, 132, 3056, 553, 38, 11, 6736, 16, 534, 7, 15, 22, 7544, 28, 85, 4041, 17, 22, 2362, 13, 17, 22, 11547, 20, 10, 120, 20, 10, 711, 3015, 13, 12, 928, 7, 359, 67, 240, 55, 12975, 36, 18, 1927, 10985, 18326, 14, 15, 22, 570, 216, 5432, 164, 156, 38, 1889, 20, 10, 126, 20, 10, 43, 3056, 553, 13, 16, 534, 7, 15, 22, 7544, 50, 289, 99, 7, 12, 104, 6441, 20, 8, 2002, 995, 1397, 699, 14, 15, 22, 20, 11089, 36, 16, 908, 1970, 20, 10, 978, 318, 118, 20, 10, 43, 908, 10894, 1897, 29, 3982, 999, 21, 650, 7, 380, 13, 17, 22, 7538, 20, 8, 119, 7941, 19, 1310, 19, 209, 8949, 7, 15, 22, 7544, 20, 10, 70, 30, 17670, 36, 20, 3, 16, 534, 7, 15, 22, 7544, 391, 20, 10, 120, 20, 10, 11817, 581, 24, 908, 10894, 31, 38, 1889, 16, 534, 7, 15, 22, 7544, 137, 1004, 1889, 16, 3056, 553, 7, 15, 22, 7544, 32, 3404, 63, 620, 119, 283, 7, 2045, 137, 69, 1889, 18, 3395, 7, 6066, 137, 17, 1889, 79, 45, 250, 19, 5686, 17138, 14, 15, 22, 7544, 137, 906, 1889, 19, 3071, 19, 209, 581, 24, 515, 8706, 137, 952, 1889, 19, 3071, 19, 2504, 20, 10, 126, 20, 10, 43, 908, 1970, 107, 15119, 14, 1421, 63, 660, 24, 908, 10894, 20, 8, 28, 18, 506, 51, 22, 56, 10230, 20, 8, 19, 5922, 30416, 72, 19, 1161, 26661, 11, 13, 7749, 63, 652, 3691, 7, 12, 145, 722, 20, 8, 723, 13, 2899, 20, 8, 19323, 11, 21, 578, 7, 159, 1310, 20, 10, 161, 20, 10, 61, 1927, 10985, 4754, 14, 15, 22, 570, 216, 5432, 164, 156, 38, 1889, 10230, 111, 31, 38, 1889, 16, 394, 19, 581, 24, 908, 10894, 2465, 18, 3691, 16213, 37, 5432, 120, 156, 17, 1889, 20, 8, 906, 1889, 20, 8, 952, 1889, 155, 27, 18, 3203, 7, 89, 15103, 13, 12, 928, 7, 89, 3015, 137, 1004, 1889, 18, 1236, 7, 1464, 6556, 6 ]

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

[ 5, 78, 21088, 13, 113, 22, 1551, 18707, 12, 104, 13, 12, 117, 23, 8610, 519, 113, 22, 1551, 5487, 29, 117, 23, 8610, 519, 527, 27, 12, 117, 23, 8610, 519, 30, 29, 1070, 32, 895, 172, 424, 102, 71, 1123, 39, 203, 84, 679, 424, 102, 2883, 128, 27, 113, 22, 21, 1551, 424, 311, 275, 113, 22, 18080, 5007, 27, 69, 22, 30, 29, 1070, 32, 50, 140, 22, 38, 371, 901, 17, 22, 28506, 13, 27, 71, 71, 3035, 205, 82, 852, 1070, 26, 12653, 21, 304, 424, 102, 851, 14, 12, 2612, 424, 102, 22744, 19, 14866, 11252, 11, 10407, 617, 475, 32, 32, 50, 139, 621, 726, 3850, 7229, 23, 309, 1291, 69, 22, 30, 39, 1486, 23, 69, 22, 30, 39, 12020, 77, 203, 196, 6012, 112, 658, 38, 102, 3470, 16, 532, 658, 1291, 408, 236, 13, 1006, 48, 445, 3631, 79, 14, 15, 22, 1962, 7, 170, 303, 424, 102, 1291, 30, 23, 272, 51, 22, 252, 55, 14, 15, 22, 2456, 74, 6156, 113, 22, 1551, 2012, 23, 45, 69, 22, 30, 113, 22, 1551, 689, 303, 1291, 15, 22, 15470, 38, 2453, 128, 1834, 1435, 12, 1454, 220, 205, 3148, 128, 37, 239, 7, 476, 130, 38, 153, 2034, 128, 16, 1351, 220, 205, 1525, 128, 37, 239, 7, 397, 13, 16, 363, 38, 6762, 239, 44, 55, 19, 6599, 45, 19, 2078, 74, 208, 56, 109, 38, 15, 22, 38, 6377, 23, 15, 22, 15470, 54, 22, 2416, 1222, 13, 69, 22, 30, 25, 4723, 527, 27, 69, 22, 30, 25, 4729, 32, 107, 99, 31160, 48, 22897, 74, 219, 424, 102, 219, 5452, 12, 1753, 16, 12, 16, 12, 852, 69, 22, 30, 20, 3, 5425, 391, 12, 1351, 16, 1351, 69, 22, 30, 10452, 13, 16, 363, 69, 22, 30, 14483, 208, 21, 18024, 12964, 450, 74, 424, 102, 14483, 14483, 69, 22, 30, 25, 411, 7, 69, 22, 30, 4723, 203, 38, 102, 69, 22, 30, 25, 4723, 74, 69, 22, 30, 4723, 1291, 4723, 148, 29, 168, 100, 1058, 371, 38, 102, 169, 169, 203, 71, 1814, 27, 14483, 50, 107, 39, 54, 22, 24175, 17, 22, 29, 26, 29, 1082, 38, 102, 305, 38, 102, 169, 169, 169, 69, 22, 30, 25, 4729, 69, 22, 30, 25, 4729, 424, 102, 54, 21071, 1291, 32, 30, 71, 1814, 4549, 7103, 20728, 71, 9851, 6087, 3470, 113, 22, 1551, 29, 5887, 9262, 32, 54, 22, 2416, 28551, 74, 69, 22, 30, 59, 4729, 1291, 38, 102, 71, 208, 332, 48, 140, 22, 28201, 617, 475, 113, 22, 20, 15054, 757, 2665, 203, 27, 27, 203, 49, 12967, 108, 63, 2078, 21, 21, 28, 1006, 28, 114, 28, 114, 199, 23, 1268, 527, 27, 69, 22, 30, 25, 4729, 7, 12, 2900, 15003, 14483, 1291, 13, 424, 102, 113, 22, 20, 15054, 757, 27, 203, 49, 12967, 63, 2078, 1006, 28, 25, 173, 37, 182, 19290, 19290, 77, 1006, 203, 54, 22, 30, 901, 69, 6 ]

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

[ 5, 27, 12, 478, 160, 48, 16576, 48, 13, 71, 1123, 39, 348, 38, 102, 110, 19, 71, 2730, 19, 5518, 1291, 36, 415, 424, 102, 113, 22, 105, 332, 71, 1003, 679, 19, 168, 71, 1003, 41, 7329, 17, 22, 58, 532, 13, 408, 236, 408, 236, 17, 22, 1259, 275, 113, 22, 4521, 14, 46, 19, 209, 4512, 71, 235, 7019, 7, 139, 6527, 45, 7, 97, 1726, 14, 19, 4357, 38, 102, 1291, 17, 22, 1259, 19, 168, 113, 22, 105, 113, 23, 71, 6458, 11, 19, 19, 672, 27, 71, 4786, 335, 13, 365, 71, 1091, 39, 527, 27, 71, 140, 22, 12024, 39, 82, 56, 1291, 1291, 82, 12, 370, 27, 113, 22, 105, 21, 488, 7, 348, 17, 22, 1259, 69, 22, 40, 203, 13, 69, 22, 40, 48, 11796, 32, 1976, 135, 14, 44, 310, 23, 1268, 74, 69, 22, 40, 348, 32, 1976, 69, 22, 40, 48, 32, 1976, 135, 7, 69, 22, 40, 348, 32, 32, 390, 81, 23, 32, 390, 5236, 23, 32, 390, 81, 23, 424, 102, 424, 102, 71, 31705, 348, 38, 102, 1291, 69, 22, 40, 203, 1291, 113, 22, 12270, 7, 7, 745, 82, 18, 5009, 23, 28, 82, 82, 15, 22, 434, 74, 745, 82, 82, 54, 23, 12, 370, 32, 30, 21, 488, 48, 7229, 74, 1291, 13, 48, 10007, 27, 18, 5518, 55, 21295, 112, 903, 74, 38, 102, 1291, 36, 415, 275, 71, 16492, 46, 19, 13836, 69, 22, 40, 378, 27, 113, 22, 105, 14, 5170, 46, 19, 13836, 19, 13139, 13, 79, 203, 11796, 113, 22, 105, 39, 430, 7, 1921, 48, 7229, 113, 22, 12270, 37, 499, 77, 185, 185, 37, 1141, 7, 1291, 37, 1141, 7, 1034, 1435, 817, 203, 109, 30, 69, 22, 40, 30, 23, 272, 27, 541, 30, 23, 272, 51, 22, 256, 424, 102, 21677, 5450, 7, 20, 3, 203, 391, 74, 20728, 71, 1123, 39, 11796, 71, 1123, 39, 48, 3392, 39, 113, 22, 105, 371, 169, 371, 140, 23, 71, 139, 235, 371, 6178, 169, 169, 1006, 252, 48, 6007, 275, 104, 1032, 74, 38, 102, 1291, 541, 541, 69, 22, 40, 89, 12001, 7, 745, 82, 203, 1291, 1291, 69, 22, 40, 348, 32, 1610, 25, 6608, 26, 139, 26, 1251, 74, 26, 140, 22, 4495, 26, 139, 1251, 38, 102, 1291, 26, 140, 22, 4495, 46, 541, 87, 87, 1291, 1291, 527, 27, 1291, 527, 27, 275, 71, 16492, 46, 19, 7467, 6156, 13, 275, 71, 1306, 5170, 46, 25, 3975, 113, 22, 12270, 7, 48, 3392, 113, 22, 12270, 7, 4501, 14, 19, 9642, 27, 113, 22, 105, 5853, 27, 14, 154, 538, 32, 55, 400, 27, 17, 22, 260, 17, 22, 1259, 1291, 1291, 1291, 69, 22, 40, 44, 32, 140, 22, 11186, 242, 108, 7, 97, 41, 826, 203, 69, 22, 40, 424, 102, 7, 364, 18, 7467, 32, 6007, 122, 541, 13, 365, 1291, 18, 7467, 13, 18, 13183, 25914, 32, 6007, 37, 3975, 36, 6 ]

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

[ 5, 2177, 130, 52, 22, 57, 41, 16, 2482, 17, 22, 23600, 14, 331, 203, 16, 2960, 23, 2132, 203, 69, 22, 40, 12, 18, 12495, 5038, 1291, 50, 39, 2482, 75, 59, 940, 466, 26, 51, 22, 66, 48, 11352, 39, 41, 826, 45, 102, 69, 22, 40, 12, 282, 2240, 203, 69, 22, 40, 148, 277, 475, 27, 64, 1291, 71, 235, 39, 2256, 8338, 275, 104, 1291, 38, 102, 348, 169, 41, 77, 64, 64, 50, 482, 41, 24, 104, 136, 305, 208, 12786, 51, 22, 40, 23, 272, 32, 84, 27, 18, 303, 24486, 45, 50, 24486, 39, 14, 15, 22, 827, 74, 906, 102, 87, 109, 38, 18, 69, 24021, 11, 44, 51, 22, 86, 2416, 18, 69, 24021, 11, 274, 64, 1291, 48, 7229, 44, 27, 203, 657, 335, 25, 69, 24021, 359, 32, 32, 1058, 79, 79, 7, 306, 1291, 36, 129, 23, 549, 208, 56, 109, 38, 108, 18, 303, 32, 55, 6266, 11, 36, 159, 883, 339, 23, 1268, 24486, 275, 252, 2037, 49, 8860, 14, 159, 883, 38, 102, 1291, 305, 527, 27, 112, 87, 348, 113, 22, 105, 25, 344, 23, 16130, 32, 657, 39, 49, 8860, 14, 80, 1138, 32, 657, 129, 97, 2033, 16, 854, 13, 203, 84, 19, 6330, 11, 56, 38, 27, 2453, 128, 305, 77, 275, 18, 303, 2037, 87, 27, 18, 883, 18, 11476, 208, 339, 23, 1268, 24486, 400, 27, 18, 209, 7229, 13, 238, 1843, 424, 102, 275, 15, 22, 1324, 2047, 275, 104, 169, 1291, 51, 22, 66, 1932, 16, 1809, 24, 191, 54, 22, 66, 30, 31790, 238, 1843, 906, 102, 82, 48, 4830, 424, 102, 1291, 1291, 77, 18, 883, 11476, 271, 15, 22, 1324, 48, 3392, 679, 144, 18, 9091, 7362, 38, 102, 1291, 527, 27, 15, 22, 1520, 49, 84, 49, 84, 13, 110, 20, 3, 15, 22, 1324, 391, 110, 15, 22, 1324, 2947, 29, 9037, 56, 12, 30663, 39, 36, 129, 23, 549, 11796, 110, 18, 883, 511, 1726, 203, 220, 400, 13, 3470, 114, 303, 27, 113, 22, 105, 332, 44, 55, 19, 303, 27, 71, 30663, 21, 41, 21, 41, 7, 15, 22, 827, 52, 22, 40, 23, 272, 39, 44, 55, 19, 303, 27, 71, 30663, 527, 51, 22, 256, 88, 19, 9091, 51, 22, 256, 52, 22, 270, 39, 39, 1568, 72, 36, 29, 1300, 13, 13, 78, 9037, 424, 102, 50, 50, 12, 4042, 371, 36, 541, 23, 549, 71, 1814, 27, 15, 22, 1520, 56, 4082, 27, 16, 2292, 424, 102, 1759, 21, 608, 182, 14, 15, 22, 1324, 77, 54, 22, 2247, 27, 121, 4042, 48, 3392, 203, 69, 22, 40, 39, 148, 69, 22, 40, 107, 23, 179, 274, 48, 48, 445, 19, 3081, 182, 669, 20728, 169, 71, 1814, 39, 466, 28, 18, 1906, 12265, 100, 38, 19, 3081, 7, 9252, 424, 102, 104, 41, 27, 9252, 38, 102, 1291, 82, 274, 64, 1291, 69, 22, 40, 39, 69, 22, 40, 203, 51, 22, 6 ]

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

[ 5, 1344, 1291, 45, 757, 2540, 1010, 906, 102, 71, 1306, 851, 37, 2858, 16, 1010, 113, 22, 105, 867, 113, 22, 105, 112, 154, 7, 136, 82, 325, 1743, 219, 27, 113, 22, 3579, 906, 44, 27, 71, 1323, 717, 27645, 457, 108, 21, 2497, 6156, 45, 757, 28, 25, 249, 136, 219, 27, 113, 22, 3579, 27645, 457, 527, 27, 113, 22, 105, 39, 16, 850, 45, 757, 867, 13, 365, 906, 28, 25, 852, 136, 867, 56, 219, 27, 906, 113, 22, 3579, 906, 183, 10216, 7, 17772, 26, 51, 22, 66, 139, 484, 6306, 450, 387, 21, 820, 16, 2752, 2880, 45, 757, 13, 867, 153, 906, 402, 6966, 333, 183, 5856, 27645, 264, 45, 757, 13, 27645, 565, 1058, 39, 97, 6156, 27645, 565, 56, 30, 39, 332, 867, 27645, 161, 56, 38, 84, 77, 56, 30, 39, 332, 16, 1285, 185, 23, 2480, 1291, 77, 110, 100, 84, 2540, 6156, 110, 2540, 1010, 56, 1103, 97, 13, 6156, 14, 44, 310, 332, 69, 22, 40, 27645, 565, 51, 22, 40, 37, 1942, 7, 867, 6156, 56, 2522, 16, 850, 129, 13, 12, 636, 13, 13, 514, 389, 42, 168, 69, 22, 40, 129, 51, 22, 1271, 7790, 80, 576, 275, 130, 186, 39, 332, 13, 6156, 208, 100, 100, 100, 419, 14, 44, 310, 332, 14, 27645, 565, 100, 5564, 203, 2540, 10972, 389, 202, 42, 13, 11855, 45, 757, 11855, 2540, 110, 110, 325, 325, 325, 38, 11, 25, 700, 6156, 113, 22, 16470, 527, 27, 305, 906, 45, 757, 203, 601, 188, 11796, 332, 867, 332, 332, 56, 109, 38, 19, 8574, 144, 1291, 514, 22, 72, 87, 7019, 7, 26267, 19, 8574, 14, 19, 8574, 108, 402, 6966, 333, 71, 1123, 87, 527, 27, 906, 71, 45, 757, 867, 6156, 45, 757, 1123, 87, 11796, 18, 9502, 69, 22, 40, 867, 20, 3, 25, 298, 391, 325, 1323, 16, 5171, 69, 22, 40, 39, 16, 700, 77, 25, 5865, 16, 8155, 6156, 1291, 77, 25, 1031, 57, 389, 2925, 42, 25, 1031, 57, 389, 2925, 42, 867, 169, 169, 56, 38, 6151, 2139, 56, 30, 1460, 45, 757, 13, 867, 1006, 305, 1291, 1291, 867, 1291, 1291, 867, 13, 466, 27, 305, 27645, 457, 186, 37, 1942, 71, 129, 9249, 230, 51, 22, 93, 254, 7, 583, 56, 109, 228, 19, 2223, 17, 22, 4629, 14, 305, 130, 139, 15, 22, 1271, 230, 56, 109, 38, 39, 7, 1051, 11796, 19290, 77, 305, 130, 84, 39, 130, 30, 5368, 130, 30, 5368, 11796, 305, 6156, 305, 6156, 514, 22, 16742, 305, 110, 129, 56, 107, 39, 348, 71, 16, 10844, 305, 4232, 100, 867, 100, 1206, 285, 185, 23, 2480, 56, 30, 39, 332, 27645, 565, 56, 30, 39, 332, 27, 71, 13821, 25, 358, 389, 2430, 42, 77, 71, 1306, 4737, 27645, 647, 27, 268, 56, 19552, 203, 2132, 33, 16, 525, 7, 2540, 1010, 2132, 2540, 1010, 13, 51, 22, 86, 5430, 203, 13, 71, 1450, 14, 183, 6 ]

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

[ 5, 39, 424, 7, 1364, 113, 22, 105, 424, 4135, 112, 5368, 381, 2034, 128, 46, 25, 2657, 13, 208, 424, 102, 69, 22, 385, 25, 154, 25, 173, 7, 1354, 69, 22, 385, 45, 1165, 183, 191, 1023, 45, 12, 387, 14, 15, 22, 3954, 69, 22, 385, 15, 22, 58, 45, 15, 22, 434, 208, 113, 22, 105, 1536, 424, 102, 7, 12, 2087, 7, 9961, 183, 191, 119, 20, 6181, 23, 119, 597, 113, 22, 917, 19, 1341, 20, 16391, 72, 13, 365, 424, 102, 113, 22, 105, 424, 29, 585, 1082, 32, 38, 95, 20, 16391, 35, 14, 12, 443, 46, 32, 113, 22, 105, 3220, 381, 3148, 128, 13, 32, 140, 22, 57, 100, 54, 22, 40, 5648, 72, 46, 271, 7, 10422, 271, 271, 7, 10422, 13, 24, 399, 130, 130, 30, 9416, 679, 130, 38, 311, 303, 130, 651, 195, 139, 314, 1291, 130, 139, 2377, 23, 130, 651, 140, 23, 24, 399, 195, 139, 314, 408, 236, 119, 831, 27, 12, 443, 52, 22, 385, 39, 368, 2822, 13, 365, 100, 54, 22, 5630, 242, 87, 597, 408, 236, 208, 12, 584, 7, 191, 203, 1896, 906, 102, 87, 424, 102, 110, 48, 2182, 56, 219, 424, 102, 275, 701, 48, 445, 19, 19, 2959, 56, 219, 99, 14, 2453, 557, 14, 59, 191, 13, 365, 208, 424, 102, 424, 102, 54, 22, 27551, 26, 27, 79, 187, 1460, 14, 12, 443, 466, 275, 424, 102, 44, 51, 22, 66, 109, 38, 19, 303, 1291, 424, 102, 27, 18, 303, 13, 16, 2711, 50, 998, 39, 424, 102, 16058, 17, 22, 7500, 208, 424, 102, 87, 890, 219, 275, 104, 203, 84, 275, 104, 424, 102, 79, 21, 753, 14, 12, 443, 29, 145, 600, 3908, 527, 27, 14, 2453, 557, 56, 219, 54, 22, 6895, 19, 20, 3, 19, 2959, 391, 275, 48, 445, 19, 10042, 765, 56, 219, 54, 22, 6895, 19, 10042, 54, 22, 6895, 19, 2959, 7, 79, 69, 22, 40, 25, 69, 22, 40, 275, 104, 600, 11572, 1291, 13, 208, 424, 102, 100, 21387, 16, 191, 1006, 27, 100, 100, 71, 48, 20413, 27, 275, 100, 30, 274, 29, 547, 18005, 341, 1964, 16, 191, 54, 22, 12850, 112, 87, 527, 27, 100, 1058, 27, 424, 102, 16, 12, 2257, 100, 38, 5648, 424, 102, 909, 13, 909, 191, 51, 22, 86, 16, 4181, 16, 2990, 408, 236, 408, 236, 208, 29, 84, 3096, 15, 22, 434, 84, 222, 424, 102, 26, 12, 1392, 424, 102, 1291, 1291, 71, 2730, 21, 1333, 424, 102, 12, 3975, 323, 424, 102, 3174, 10347, 424, 102, 746, 18005, 341, 4175, 562, 361, 13, 24399, 21, 2299, 7, 7, 16, 7, 15, 22, 16391, 35, 45, 504, 23, 10866, 77, 1006, 348, 113, 22, 105, 195, 1432, 51, 22, 66, 186, 809, 424, 102, 14, 15, 22, 16391, 35, 7, 16501, 1032, 46, 130, 69, 22, 40, 23, 167, 23, 1504, 7, 6076, 13, 17, 22, 12048, 19, 1427, 6 ]

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

[ 5, 238, 25679, 20, 8, 2132, 918, 8335, 20, 10, 224, 19318, 57, 82, 26, 139, 97, 326, 51, 22, 130, 228, 275, 104, 24, 18514, 20, 8, 13, 130, 54, 22, 21019, 81, 188, 27, 113, 22, 424, 1699, 635, 16, 136, 7, 8111, 75, 16, 18271, 20, 10, 26217, 10481, 16, 846, 7, 80, 1138, 17, 22, 29, 277, 468, 20, 10, 299, 19620, 35, 33, 80, 547, 5713, 130, 7412, 57, 7, 183, 1801, 14, 750, 21, 10247, 31, 773, 664, 20, 8, 16, 344, 4723, 220, 5551, 197, 12, 514, 1211, 35, 7, 4135, 74, 773, 1373, 20, 10, 773, 146, 51, 22, 30, 67, 272, 51, 22, 56, 7065, 20, 8, 21, 26, 20, 8, 16, 344, 4723, 74, 773, 166, 15, 22, 4654, 20, 10, 224, 22360, 18, 1590, 33, 59, 29879, 8429, 5577, 2467, 31, 773, 664, 20, 8, 4135, 1103, 140, 22, 21, 2457, 25, 2453, 74, 773, 1373, 20, 10, 224, 1486, 15913, 57, 121, 85, 3234, 20, 8, 280, 22, 14, 85, 14653, 2344, 20, 8, 13, 701, 113, 22, 424, 11, 5071, 1291, 26, 262, 475, 20, 8, 130, 49, 7966, 14, 3563, 13, 14, 10799, 13572, 125, 36, 12, 1492, 20, 10, 2195, 623, 14, 59, 640, 23539, 12, 547, 11258, 514, 5849, 59, 25350, 82, 110, 130, 52, 22, 228, 371, 1188, 16, 619, 7, 80, 1138, 20, 10, 1418, 20, 8, 44, 50, 603, 39, 14, 417, 35, 3393, 200, 51, 22, 130, 20, 28588, 85, 5033, 2425, 20, 10, 224, 7966, 33, 183, 3375, 25, 16029, 79, 7487, 14, 359, 27, 113, 22, 9249, 901, 14, 80, 1082, 12, 789, 17, 22, 188, 20, 8, 13, 12, 1018, 79, 13282, 35, 20, 8, 130, 139, 230, 31, 773, 986, 196, 11, 9596, 35, 28, 2220, 303, 20, 8, 2493, 1151, 20, 10, 124, 52, 22, 424, 11, 39, 14, 2764, 110, 1120, 20, 3, 238, 391, 8335, 137, 2195, 623, 15, 22, 8094, 242, 46, 130, 20, 10, 2354, 59, 1548, 1457, 14, 210, 20, 8, 130, 228, 1432, 16, 842, 7, 49, 783, 274, 406, 883, 20, 10, 146, 17, 22, 541, 20, 8, 13, 19, 303, 20, 8, 130, 228, 417, 14, 139, 335, 20, 8, 27, 12, 584, 22360, 79, 3137, 188, 51, 22, 130, 52, 22, 23383, 2434, 20, 10, 146, 110, 20, 8, 28, 18, 287, 32, 1014, 3309, 20, 8, 71, 4416, 757, 14, 2087, 18, 1590, 13878, 11, 156, 238, 622, 20, 8, 44, 52, 22, 186, 41, 26, 10908, 11, 7105, 183, 20, 18225, 20, 8, 69, 22, 186, 26, 50, 39, 139, 31040, 7, 78, 2273, 32, 140, 22, 186, 4240, 13, 32, 139, 2123, 14570, 36, 4383, 1081, 108, 813, 51, 22, 29, 1246, 20, 10, 626, 36, 10557, 20, 8, 18, 4357, 7, 2195, 623, 140, 22, 1069, 15099, 35, 687, 19, 15947, 11, 20, 10, 124, 5043, 10287, 46, 541, 20, 8, 71, 9372, 144, 18, 364, 14, 197, 1962, 20, 8, 13, 41, 366, 7, 44, 32, 49, 11798, 274, 64, 6 ]

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

[ 5, 1291, 117, 234, 13, 25, 60, 1291, 28, 7875, 387, 36, 415, 25, 234, 13, 60, 26, 424, 102, 221, 18, 1677, 7, 1291, 13, 20, 14587, 36, 415, 104, 15, 22, 5433, 424, 102, 729, 299, 273, 729, 278, 169, 71, 50, 235, 39, 4761, 527, 27, 69, 22, 40, 29, 925, 7, 5324, 38, 102, 69, 22, 40, 29, 925, 7, 5324, 13, 365, 424, 102, 12, 5324, 48, 3392, 203, 50, 4967, 14, 366, 21, 6444, 20, 5673, 408, 236, 408, 236, 424, 102, 71, 1814, 275, 104, 51, 22, 66, 219, 54, 22, 93, 697, 23, 49, 54, 22, 93, 697, 23, 49, 2915, 14, 12, 2926, 424, 102, 527, 51, 22, 864, 100, 24421, 296, 48, 22897, 408, 236, 408, 236, 275, 100, 768, 84, 29, 409, 2384, 82, 203, 100, 54, 22, 57, 1455, 272, 504, 296, 51, 22, 86, 38, 5896, 29, 4201, 13, 100, 16569, 21, 3052, 408, 236, 408, 236, 13, 203, 69, 22, 40, 112, 2418, 69, 22, 40, 82, 18, 7327, 7, 15, 22, 1520, 21, 134, 11796, 45, 757, 29, 45, 117, 36, 625, 11796, 3314, 424, 102, 50, 49, 27051, 39, 100, 21, 1385, 29, 277, 13, 365, 69, 22, 40, 25, 514, 3868, 86, 3930, 169, 424, 102, 71, 791, 275, 104, 27, 69, 22, 40, 219, 54, 22, 93, 2915, 14, 12, 2926, 408, 236, 408, 236, 29, 2926, 100, 12, 1058, 45, 100, 12, 1058, 39, 110, 100, 12, 1058, 39, 100, 15, 23, 15, 22, 14776, 45, 757, 2132, 13, 32, 7, 48, 45, 7, 90, 576, 902, 8441, 63, 1167, 7251, 74, 45, 38, 102, 69, 22, 40, 348, 408, 236, 408, 236, 1291, 16, 13, 46, 80, 438, 424, 102, 16, 3056, 7, 12, 443, 69, 22, 40, 348, 13, 28, 12, 438, 7, 90, 576, 108, 74, 38, 102, 169, 424, 102, 63, 1167, 14, 14, 14, 85, 1167, 69, 22, 40, 238, 576, 32, 20, 3, 89, 391, 902, 85, 1167, 2961, 1291, 1291, 1291, 424, 102, 408, 236, 408, 236, 203, 69, 22, 40, 77, 14, 6214, 23, 424, 102, 14, 90, 438, 69, 22, 40, 69, 22, 40, 48, 38, 102, 69, 22, 40, 348, 69, 22, 40, 348, 69, 22, 40, 348, 1291, 1291, 13, 32, 30, 23, 272, 32, 16783, 18, 8950, 10055, 74, 38, 102, 69, 22, 40, 348, 1291, 18, 3939, 17, 22, 15991, 69, 22, 40, 48, 74, 3939, 17, 22, 3643, 424, 102, 3939, 7, 458, 7414, 69, 9699, 424, 102, 79, 79, 203, 69, 22, 40, 79, 348, 203, 69, 22, 40, 13, 30, 23, 272, 51, 22, 66, 109, 38, 29, 578, 671, 14, 740, 48, 48, 18, 12591, 23, 74, 450, 74, 30, 23, 272, 51, 22, 66, 109, 38, 29, 578, 4421, 26, 740, 48, 18, 29952, 74, 906, 102, 87, 527, 27, 71, 791, 27, 113, 22, 105, 1695, 15, 22, 3894, 1291, 1291, 527, 27, 238, 576, 648, 112, 87, 16, 97, 11796, 6 ]

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

[ 5, 230, 148, 21, 134, 69, 22, 40, 12, 12829, 19, 11819, 20728, 498, 74, 44, 52, 22, 40, 39, 148, 9670, 27, 15, 22, 86, 1759, 424, 102, 4100, 114, 303, 21, 134, 69, 22, 40, 39, 148, 20728, 9670, 203, 69, 22, 40, 498, 7736, 69, 22, 40, 969, 14, 2090, 77, 69, 22, 40, 155, 77, 113, 22, 105, 606, 56, 109, 38, 117, 128, 29, 424, 102, 6680, 274, 348, 212, 3180, 8402, 35, 6800, 3321, 1291, 32, 139, 4439, 27, 48, 17864, 41, 21, 4188, 27, 64, 14, 44, 595, 1291, 56, 139, 714, 27, 69, 22, 40, 810, 1291, 130, 139, 4439, 130, 13426, 130, 54, 22, 30699, 13, 13, 130, 139, 4439, 27, 21, 7308, 69, 22, 385, 400, 1014, 400, 84, 1291, 27, 48, 48, 21, 20, 1479, 10436, 2587, 41, 15, 22, 1095, 54, 22, 93, 20, 24101, 41, 1291, 203, 69, 22, 40, 810, 1291, 2059, 27, 64, 69, 22, 40, 25, 154, 15, 22, 1463, 691, 77, 46, 7, 765, 981, 38, 102, 1291, 13, 271, 17, 23, 17, 22, 926, 11, 5704, 32, 54, 22, 26289, 7, 203, 38, 102, 1291, 71, 2730, 69, 22, 40, 39, 148, 424, 102, 15, 22, 1095, 32, 54, 22, 8543, 424, 102, 498, 77, 56, 109, 38, 18, 450, 1306, 23, 1017, 335, 203, 19, 3488, 5244, 7, 883, 679, 32, 49, 7530, 18, 607, 16716, 332, 48, 7229, 36, 415, 424, 102, 26, 18, 303, 12019, 11, 38, 102, 1291, 100, 1385, 25, 11172, 23, 309, 48, 7229, 74, 1291, 77, 26, 18, 12019, 11, 77, 108, 26, 18, 5765, 140, 23, 25, 154, 24611, 1291, 108, 679, 100, 1385, 1291, 21, 340, 69, 22, 40, 15, 22, 848, 32, 49, 661, 111, 7, 44, 965, 7, 17, 22, 1463, 274, 64, 274, 48, 274, 2377, 23, 2132, 1291, 1291, 1291, 1291, 69, 22, 40, 44, 27, 139, 4439, 56, 109, 38, 19, 1906, 9404, 212, 3180, 8402, 35, 1291, 1291, 13, 20, 3, 130, 391, 139, 4439, 27, 64, 6098, 21, 2577, 33, 18, 38, 102, 1291, 1645, 408, 236, 14, 44, 324, 71, 50, 15, 22, 3580, 39, 3440, 275, 104, 69, 22, 40, 810, 424, 102, 1291, 69, 22, 40, 6871, 44, 51, 22, 162, 139, 4439, 139, 2123, 314, 27, 64, 18, 23148, 64, 5412, 271, 77, 64, 50, 482, 39, 6266, 11, 69, 22, 40, 36, 127, 424, 102, 127, 1340, 48, 7229, 74, 13, 27, 48, 1291, 424, 102, 69, 22, 40, 29, 7779, 17, 22, 1095, 1291, 38, 102, 64, 109, 2472, 291, 107, 23, 179, 1291, 2124, 13, 365, 56, 109, 38, 25, 5822, 17, 22, 6698, 1122, 26, 44, 965, 7, 44, 965, 7, 191, 52, 22, 40, 23, 272, 39, 274, 64, 1291, 77, 208, 48, 445, 107, 23, 179, 19, 1906, 424, 102, 144, 100, 469, 114, 303, 1291, 69, 22, 40, 203, 56, 109, 38, 29, 392, 4421, 1291, 527, 27, 71, 48, 1091, 348, 44, 32, 6 ]

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

Datasets:

gguichard
/

coref_dataset

Dataset Card for "coref_dataset"

Models trained or fine-tuned on gguichard/coref_dataset

Easter-Island/coref_classifier_ancor