supcodes:=
[
  [
 <1, 1, [ 1, 2, 3 ]>
  ],[
 <2, 1, [ 1, 2, 4, 8, 9 ]>,
 <2, 2, [ 1, 2, 3, 5, 6, 8, 10 ]>,
 <2, 3, [ 6, 7, 8, 9, 10 ]>
  ],[
 <3, 1, [ 1, 2, 3, 4, 6, 9, 10, 13, 21, 24, 25, 27, 29, 30 ]>,
 <3, 2, [ 1, 3, 4, 5, 9, 10, 12, 15, 16, 18, 21, 28, 31 ]>,
 <3, 3, [ 1, 2, 5, 8, 9, 10, 11, 15, 22, 23, 27, 34 ]>,
 <3, 4, [ 3, 4, 6, 7, 12, 28, 30, 32 ]>,
 <3, 5, [ 10, 11, 13, 29, 31 ]>,
 <3, 6, [ 14, 15, 16, 18, 19, 21, 22, 23, 24, 26, 31 ]>,
 <3, 7, [ 14, 17, 19, 20, 26, 33, 35 ]>,
 <3, 8, [ 15, 17, 18, 21, 26, 27, 28, 29, 30, 31, 34 ]>,
 <3, 9, [ 16, 17, 18, 20, 21, 24, 25, 30, 32 ]>,
 <3, 10, [ 18, 19, 22, 25, 29, 34, 35 ]>
  ],[
 <4, 1, [ 1, 2, 4, 5, 10, 14, 16, 17, 19, 23, 24, 24, 25, 26, 29, 33, 43, 44, 50, 67, 68, 77, 84, 87, 91, 99, 129, 130, 131 ]>,
 <4, 2, [ 1, 2, 3, 4, 6, 16, 17, 20, 22, 23, 25, 28, 31, 34, 37, 50, 51, 62, 65, 81, 90, 102, 103, 121, 130 ]>,
 <4, 3, [ 1, 2, 3, 4, 7, 9, 10, 23, 24, 26, 28, 29, 36, 37, 39, 67, 71, 72, 81, 91, 94, 98, 99, 105, 119, 131 ]>,
 <4, 4, [ 1, 2, 7, 8, 16, 18, 23, 24, 26, 26, 27, 29, 31, 36, 54, 57, 61, 62, 64, 71, 77, 93, 95, 101 ]>,
 <4, 5, [ 1, 3, 5, 13, 14, 16, 19, 24, 69, 80, 82, 84, 99, 107, 127, 128, 131 ]>,
 <4, 6, [ 2, 4, 6, 7, 8, 9, 11, 26, 28, 31, 32, 36, 37, 38, 93, 94, 96, 97, 101, 102, 104, 122 ]>,
 <4, 7, [ 7, 9, 11, 12, 36, 39, 104, 105, 123 ]>,
 <4, 8, [ 13, 14, 15, 17, 20, 21, 22, 25, 52, 80, 89, 92, 103, 126, 128, 130 ]>,
 <4, 9, [ 13, 14, 16, 17, 18, 20, 23, 24, 26, 27, 28, 30, 31, 32, 42, 43, 61, 62, 82, 83, 86, 92, 101, 108 ]>,
 <4, 10, [ 19, 20, 24, 24, 25, 27, 29, 30, 31, 33, 37, 54, 55, 61, 65, 68, 70, 95, 100, 106 ]>,
 <4, 11, [ 19, 20, 21, 30, 33, 34, 35, 106, 107, 108, 109, 110 ]>,
 <4, 12, [ 24, 26, 32, 36, 39, 55, 56, 57, 67, 131, 135 ]>,
 <4, 13, [ 29, 30, 31, 33, 34, 37, 38, 95, 96, 98, 109 ]>,
 <4, 14, [ 40, 41, 46, 47, 53, 74, 75, 76, 78, 111, 118, 125, 133, 134 ]>,
 <4, 15, [ 40, 42, 43, 54, 55, 60, 61, 62, 66, 67, 69, 77, 78, 80, 81, 82, 84, 88, 89, 92, 106, 108 ]>,
 <4, 16, [ 40, 41, 43, 44, 53, 55, 56, 57, 68, 69, 71, 76, 77, 82, 83, 119, 127, 129, 134, 135 ]>,
 <4, 17, [ 40, 45, 46, 58, 59, 60, 63, 73, 76, 85, 88, 113, 115 ]>,
 <4, 18, [ 41, 42, 44, 45, 54, 56, 58, 64, 66, 69, 70, 72, 86, 87, 88, 100, 113 ]>,
 <4, 19, [ 41, 45, 47, 48, 49, 58, 66, 74, 88, 112, 117 ]>,
 <4, 20, [ 41, 46, 49, 53, 59, 73, 79, 114, 118, 120, 124, 134 ]>,
 <4, 21, [ 42, 43, 44, 45, 46, 50, 53, 54, 57, 58, 60, 61, 61, 62, 63, 64, 65, 67, 68, 70, 71, 77, 82, 84, 86, 91, 93, 94, 95 ]>,
 <4, 22, [ 42, 44, 47, 48, 51, 52, 65, 66, 69, 70, 83, 86, 89, 108, 111, 112 ]>,
 <4, 23, [ 43, 47, 50, 52, 68, 69, 78, 80, 82, 87, 107, 121, 125, 126, 127, 129 ]>,
 <4, 24, [ 43, 44, 46, 49, 50, 51, 68, 71, 72, 77, 79, 81, 87, 94, 98, 118, 119, 121, 122, 129 ]>,
 <4, 25, [ 44, 45, 49, 51, 64, 65, 72, 83, 86, 90, 96, 97, 114, 115 ]>,
 <4, 26, [ 53, 58, 60, 63, 66, 75, 78, 79, 112, 113, 116 ]>,
 <4, 27, [ 54, 60, 62, 84, 85, 86, 87, 91, 92, 95, 99, 101, 102, 103, 106, 109, 110 ]>,
 <4, 28, [ 54, 56, 61, 63, 67, 93, 99, 100, 101, 105, 116 ]>,
 <4, 29, [ 54, 58, 65, 96, 100, 108, 109, 110, 115 ]>,
 <4, 30, [ 54, 55, 59, 62, 63, 64, 67, 71, 72, 77, 79, 81, 85, 90, 91, 93, 94, 95, 96, 98, 100, 102, 104, 105 ]>,
 <4, 31, [ 55, 58, 61, 68, 70, 76, 95, 98, 100, 106, 107, 108, 116 ]>,
 <4, 32, [ 56, 57, 59, 71, 72, 94, 97, 104, 119, 120, 122, 123, 135 ]>,
 <4, 33, [ 73, 74, 75, 124, 132, 133, 136 ]>,
 <4, 34, [ 86, 88, 89, 90, 100, 110, 112 ]>,
 <4, 35, [ 111, 112, 113, 114, 115, 117, 136 ]>
  ],[
 <5, 1, [ 1, 2, 4, 5, 6, 16, 17, 18, 21, 23, 24, 24, 27, 28, 29, 32, 40, 43, 52, 54, 56, 98, 114, 117, 120, 134, 164, 165, 184, 191, 225, 235, 238, 247, 276, 382, 388, 389, 391, 392, 404, 405, 442, 450 ]>,
 <5, 2, [ 1, 2, 3, 6, 7, 23, 24, 24, 25, 27, 29, 29, 30, 31, 32, 38, 40, 40, 40, 41, 41, 43, 43, 44, 46, 48, 52, 54, 54, 54, 55, 56, 57, 57, 58, 59, 64, 65, 66, 149, 150, 153, 163, 166, 183, 184, 186, 191, 205, 207, 208, 222, 225, 227, 229, 230, 234, 250, 261, 394, 396, 399, 400, 401, 404, 405, 442 ]>,
 <5, 3, [ 1, 4, 72, 73, 75, 77, 80, 335, 345, 347, 349, 355, 358, 385, 389, 390, 391, 392, 405, 450 ]>,
 <5, 4, [ 1, 3, 4, 6, 7, 73, 75, 76, 77, 79, 80, 80, 81, 82, 84, 86, 320, 321, 325, 333, 334, 342, 349, 350, 351, 355, 396, 397, 398, 399, 399, 400, 400, 401, 405 ]>,
 <5, 5, [ 1, 5, 412, 416, 417, 423, 430, 431, 432, 440, 442, 457 ]>,
 <5, 6, [ 2, 4, 7, 9, 43, 44, 46, 49, 53, 55, 61, 66, 70, 75, 76, 78, 79, 81, 83, 88, 208, 209, 232, 236, 257, 285, 325, 326, 346, 401 ]>,
 <5, 7, [ 2, 3, 4, 6, 7, 8, 10, 40, 43, 45, 47, 54, 54, 55, 56, 57, 58, 59, 59, 61, 62, 64, 66, 75, 79, 80, 82, 82, 84, 87, 216, 218, 222, 225, 228, 229, 230, 231, 232, 277, 278, 281, 331, 336, 342, 404, 405 ]>,
 <5, 8, [ 2, 8, 29, 30, 56, 57, 58, 59, 60, 214, 218, 220, 227, 280, 313 ]>,
 <5, 9, [ 3, 4, 7, 10, 79, 80, 82, 83, 84, 87, 88, 333, 336, 337, 346, 351, 352, 354, 355, 357, 405 ]>,
 <5, 10, [ 3, 5, 6, 393, 394, 395, 397, 399, 400, 402, 403, 404, 417, 423, 424, 430, 432, 433, 434, 442 ]>,
 <5, 11, [ 7, 8, 9, 10, 59, 61, 66, 68, 71, 82, 83, 85, 87, 88, 89, 277, 279, 281, 285, 352, 353, 356 ]>,
 <5, 12, [ 10, 87, 89, 356, 357 ]>,
 <5, 13, [ 11, 12, 13, 16, 18, 21, 26, 28, 72, 143, 144, 200, 241, 276, 306, 310, 444, 446, 447, 448, 450, 457 ]>,
 <5, 14, [ 11, 12, 13, 14, 16, 17, 18, 19, 22, 23, 24, 25, 27, 73, 126, 129, 168, 180, 190, 200, 237, 238, 246, 261, 416, 423 ]>,
 <5, 15, [ 11, 14, 15, 20, 74, 287, 296, 306, 368, 371, 372, 383, 386, 447 ]>,
 <5, 16, [ 12, 16, 17, 18, 24, 25, 27, 29, 30, 32, 38, 39, 40, 43, 49, 75, 127, 128, 129, 134, 156, 183, 184, 237, 241, 246, 253, 261, 440, 442 ]>,
 <5, 17, [ 12, 13, 14, 16, 17, 18, 20, 21, 23, 24, 25, 26, 31, 33, 34, 41, 44, 46, 48, 76, 92, 114, 120, 129, 130, 141, 188, 205, 206, 241, 258, 276, 375, 379, 383, 391, 395, 399, 448, 457 ]>,
 <5, 18, [ 12, 17, 19, 30, 31, 35, 42, 45, 47, 203, 204, 220, 237, 264, 313 ]>,
 <5, 19, [ 13, 18, 22, 27, 32, 39, 51, 52, 77, 242, 246, 249, 251, 253, 265, 431, 432 ]>,
 <5, 20, [ 13, 18, 19, 20, 22, 26, 27, 33, 35, 36, 48, 50, 53, 246, 248, 255, 256, 258, 264, 271, 275, 284, 311 ]>,
 <5, 21, [ 13, 15, 34, 36, 37, 310, 311, 312, 362, 445, 449 ]>,
 <5, 22, [ 16, 20, 23, 28, 37, 44, 53, 72, 73, 74, 76, 78, 81, 120, 121, 142, 202, 236, 296, 327, 345, 381, 383, 386, 392, 401 ]>,
 <5, 23, [ 16, 17, 17, 18, 19, 22, 23, 24, 24, 25, 27, 29, 30, 31, 33, 38, 40, 41, 42, 46, 47, 48, 50, 54, 55, 56, 57, 79, 133, 134, 137, 138, 141, 146, 149, 156, 163, 166, 180, 201, 204, 221, 222, 227, 238, 261, 399, 423, 424, 434 ]>,
 <5, 24, [ 18, 18, 19, 21, 22, 22, 24, 24, 25, 25, 26, 27, 27, 30, 38, 39, 40, 42, 48, 54, 56, 80, 97, 98, 114, 146, 148, 156, 165, 172, 173, 174, 175, 180, 183, 212, 221, 242, 251, 256, 270, 391, 421, 423, 432, 434 ]>,
 <5, 25, [ 18, 20, 21, 24, 27, 28, 34, 41, 44, 50, 81, 114, 116, 121, 180, 181, 199, 234, 235, 256, 380, 384, 386, 391, 400, 402, 423 ]>,
 <5, 26, [ 21, 24, 24, 25, 27, 30, 38, 38, 39, 40, 40, 43, 46, 47, 47, 48, 49, 56, 57, 58, 59, 82, 147, 148, 149, 161, 164, 165, 173, 175, 183, 184, 188, 199, 212, 222, 243, 250, 254, 404, 442, 443, 450 ]>,
 <5, 27, [ 21, 22, 25, 27, 35, 38, 41, 42, 56, 60, 62, 187, 189, 201, 211, 212, 220, 268, 284 ]>,
 <5, 28, [ 21, 23, 24, 26, 28, 29, 31, 33, 41, 43, 44, 45, 47, 53, 54, 55, 59, 61, 62, 67, 68, 72, 73, 75, 76, 79, 80, 82, 83, 85, 164, 166, 169, 170, 188, 193, 202, 205, 228, 232, 260, 276, 281, 320, 347, 348, 395, 399, 448, 450 ]>,
 <5, 29, [ 22, 24, 27, 32, 33, 38, 39, 39, 40, 40, 41, 42, 48, 50, 52, 54, 56, 58, 64, 84, 148, 150, 163, 167, 183, 201, 207, 221, 224, 242, 243, 244, 265, 400, 432, 433, 434 ]>,
 <5, 30, [ 22, 26, 34, 35, 36, 39, 50, 63, 67, 268, 269, 270, 274, 284, 309, 364 ]>,
 <5, 31, [ 24, 26, 27, 28, 30, 30, 32, 33, 35, 40, 42, 44, 50, 54, 56, 58, 60, 61, 63, 65, 68, 163, 165, 169, 189, 192, 199, 214, 215, 220, 248, 269, 275, 280, 284 ]>,
 <5, 32, [ 25, 26, 47, 49, 68, 85, 175, 176, 188, 309, 448, 458 ]>,
 <5, 33, [ 27, 34, 39, 48, 50, 51, 52, 65, 86, 242, 244, 247, 254, 267, 270, 283, 402, 432, 437, 449 ]>,
 <5, 34, [ 32, 33, 34, 36, 37, 50, 52, 53, 63, 65, 67, 69, 70, 77, 86, 247, 248, 252, 260, 269, 273, 282, 312, 358, 449 ]>,
 <5, 35, [ 36, 51, 69, 363, 364 ]>,
 <5, 36, [ 38, 40, 42, 43, 47, 49, 54, 56, 57, 58, 59, 66, 68, 87, 215, 217, 218, 221, 222, 224, 229, 243, 250, 405, 434, 435 ]>,
 <5, 37, [ 39, 40, 41, 44, 48, 50, 50, 52, 53, 54, 54, 56, 61, 62, 64, 65, 67, 77, 80, 80, 81, 84, 86, 88, 207, 209, 210, 215, 216, 221, 226, 228, 234, 252, 267, 278, 329, 334, 400, 402, 434 ]>,
 <5, 38, [ 58, 61, 63, 64, 65, 67, 68, 70, 71, 84, 86, 88, 278, 279, 280, 282, 354 ]>,
 <5, 39, [ 80, 82, 85, 87, 329, 330, 331, 333, 403, 404, 405, 434, 435 ]>,
 <5, 40, [ 90, 95, 107, 108, 123, 124, 132, 136, 145, 155, 195, 196, 245, 289, 308, 318, 369, 411, 415, 426 ]>,
 <5, 41, [ 90, 91, 95, 101, 103, 111, 112, 119, 125, 158, 159, 195, 213, 291, 319, 373, 408, 409, 413, 419 ]>,
 <5, 42, [ 90, 92, 96, 97, 126, 127, 133, 138, 139, 144, 146, 147, 159, 168, 170, 182, 189, 190, 203, 211, 255, 262, 264, 268, 292 ]>,
 <5, 43, [ 90, 92, 97, 98, 108, 109, 114, 125, 126, 128, 129, 129, 134, 138, 141, 148, 149, 155, 156, 162, 163, 166, 168, 173, 175, 190, 200, 201, 204, 212, 237, 246, 256, 258, 270, 320, 379, 415, 416, 421, 424 ]>,
 <5, 44, [ 90, 91, 92, 93, 97, 97, 98, 99, 102, 112, 116, 117, 119, 125, 126, 127, 128, 130, 133, 137, 138, 147, 150, 153, 161, 162, 167, 168, 172, 174, 178, 181, 253, 254, 290, 321, 377, 393, 412, 413, 418 ]>,
 <5, 45, [ 90, 91, 93, 96, 99, 100, 101, 104, 119, 123, 131, 135, 139, 151, 154, 177, 178, 292, 297, 316 ]>,
 <5, 46, [ 90, 93, 101, 102, 104, 108, 108, 109, 110, 115, 119, 124, 125, 136, 145, 152, 155, 157, 158, 160, 197, 290, 294, 322, 376, 414, 415, 420, 422 ]>,
 <5, 47, [ 90, 93, 94, 102, 103, 105, 113, 118, 119, 123, 125, 132, 159, 162, 259, 286, 314, 323, 366, 407, 408, 413 ]>,
 <5, 48, [ 91, 94, 100, 103, 105, 106, 139, 262, 288, 361 ]>,
 <5, 49, [ 91, 93, 101, 102, 104, 106, 112, 122, 125, 140, 154, 162, 171, 293, 317, 319, 323, 324, 339, 413 ]>,
 <5, 50, [ 92, 93, 98, 102, 109, 114, 114, 115, 116, 117, 120, 121, 127, 129, 134, 149, 156, 163, 164, 165, 166, 186, 206, 207, 208, 235, 246, 247, 325, 374, 376, 377, 379, 380, 381, 385, 388, 389, 394, 396, 397, 440 ]>,
 <5, 51, [ 92, 93, 106, 116, 117, 121, 122, 128, 130, 133, 142, 153, 169, 170, 193, 206, 209, 210, 258, 260, 293, 294, 321, 323, 326, 327, 335, 348, 359, 375, 377 ]>,
 <5, 52, [ 92, 94, 116, 118, 121, 143, 144, 168, 206, 258, 286, 287, 310, 327, 365, 366, 368, 370, 375, 377, 444 ]>,
 <5, 53, [ 95, 102, 107, 108, 109, 111, 112, 145, 155, 157, 159, 160, 162, 263, 290, 291, 302, 328, 374, 428, 429, 439, 441 ]>,
 <5, 54, [ 95, 96, 98, 146, 150, 151, 158, 172, 173, 173, 177, 189, 211, 214, 216, 224, 235, 253, 254, 264, 265, 266, 268, 271, 272, 274, 275, 299, 303 ]>,
 <5, 55, [ 95, 97, 148, 174, 175, 181, 199, 212, 213, 215, 243, 245, 251, 254, 256, 263, 270, 302, 309, 329, 384, 421, 426, 437 ]>,
 <5, 56, [ 95, 97, 99, 147, 172, 173, 176, 213, 217, 330, 387, 418, 419 ]>,
 <5, 57, [ 95, 98, 145, 147, 148, 149, 156, 161, 165, 174, 175, 176, 212, 218, 250, 263, 331, 388, 429, 443 ]>,
 <5, 58, [ 95, 96, 100, 102, 111, 151, 158, 171, 177, 259, 262, 266, 272, 295, 303, 307, 316 ]>,
 <5, 59, [ 95, 101, 136, 140, 145, 152, 154, 157, 160, 171, 194, 197, 198, 213, 219, 233, 263, 298, 300, 318, 322, 332, 338, 341, 422, 426]>,
 <5, 60, [ 96, 107, 109, 155, 157, 178, 179, 182, 185, 196, 198, 240, 263, 266, 292, 295, 299, 303, 304 ]>,
 <5, 61, [ 96, 97, 108, 114, 156, 163, 175, 177, 180, 183, 189, 211, 212, 220, 221, 228, 242, 243, 246, 253, 255, 264, 268, 284, 303, 304]>,
 <5, 62, [ 96, 98, 109, 120, 127, 129, 130, 131, 134, 136, 138, 165, 166, 180, 183, 184, 185, 188, 189, 201, 203, 204, 205, 214, 215, 220, 221, 222, 227, 232, 237, 238, 240, 241, 248, 250, 255, 256, 264, 269, 271, 275, 284 ]>,
 <5, 63, [ 96, 99, 108, 110, 115, 145, 151, 160, 177, 179, 185, 223, 233, 297, 299, 304, 307 ]>,
 <5, 64, [ 96, 97, 101, 112, 117, 127, 128, 131, 137, 138, 146, 147, 151, 153, 161, 167, 177, 186, 187, 189, 192, 203, 211, 214, 217, 224, 231, 299 ]>,
 <5, 65, [ 96, 98, 100, 102, 121, 146, 150, 169, 181, 189, 192, 209, 253, 255, 258, 267, 269, 271, 294, 297 ]>,
 <5, 66, [ 96, 99, 103, 112, 113, 118, 122, 159, 162, 177, 178, 182, 262, 288, 292, 303, 315 ]>,
 <5, 67, [ 97, 98, 99, 114, 115, 145, 146, 147, 149, 156, 164, 172, 175, 179, 180, 181, 183, 184, 188, 221, 222, 224, 229, 242, 243, 254, 302, 333, 385, 403, 417, 418 ]>,
 <5, 68, [ 97, 102, 108, 114, 116, 119, 148, 156, 158, 163, 165, 167, 172, 174, 201, 207, 212, 244, 246, 249, 251, 253, 256, 258, 270, 302, 334, 380, 420, 421, 431, 433 ]>,
 <5, 69, [ 97, 98, 103, 117, 118, 123, 126, 127, 128, 132, 143, 144, 159, 168, 172, 174, 178, 190, 249, 253, 259, 289, 335, 370, 408, 412, 418 ]>,
 <5, 70, [ 97, 100, 116, 119, 167, 174, 177, 187, 189, 210, 249, 255, 268, 303, 307 ]>,
 <5, 71, [ 97, 98, 101, 117, 133, 134, 134, 136, 137, 138, 145, 148, 149, 149, 150, 153, 156, 157, 160, 161, 163, 163, 164, 165, 166, 167, 169, 172, 173, 191, 197, 201, 201, 204, 207, 212, 215, 217, 218, 227, 229, 230, 243, 250, 250, 336, 389, 396, 421, 422, 424, 433, 435 ]>,
 <5, 72, [ 98, 99, 101, 117, 122, 133, 135, 137, 138, 140, 147, 150, 153, 154, 167, 170, 171, 172, 174, 186, 193, 210, 216, 217, 226, 231, 298, 319, 321, 330, 335, 337, 350, 393, 418 ]>,
 <5, 73, [ 104, 107, 110, 111, 194, 195, 338, 410, 411, 414, 425, 452 ]>,
 <5, 74, [ 104, 105, 111, 113, 195, 339, 406, 407, 409, 451 ]>,
 <5, 75, [ 107, 110, 111, 113, 340, 427, 428, 438, 451 ]>,
 <5, 76, [ 108, 111, 119, 197, 213, 245, 259, 263, 308, 341, 420, 425, 426, 436 ]>,
 <5, 77, [ 108, 109, 112, 114, 117, 124, 127, 128, 129, 130, 133, 134, 134, 141, 145, 147, 148, 148, 149, 150, 156, 157, 158, 163, 165, 173, 174, 191, 199, 212, 227, 229, 237, 243, 243, 244, 250, 251, 253, 254, 342, 382, 394, 440, 441, 443 ]>,
 <5, 78, [ 108, 109, 113, 115, 118, 155, 158, 159, 196, 259, 286, 289, 302, 343, 367, 438, 439, 441 ]>,
 <5, 79, [ 109, 110, 112, 115, 122, 157, 158, 160, 171, 198, 233, 293, 298, 302, 305, 328, 340, 343, 344, 441 ]>,
 <5, 80, [ 114, 118, 120, 129, 132, 144, 190, 196, 200, 235, 246, 256, 287, 306, 310, 345, 367, 369, 370, 371, 382, 384, 385, 416, 446 ]>,
 <5, 81, [ 114, 115, 117, 120, 122, 134, 136, 138, 140, 141, 142, 163, 164, 166, 170, 181, 191, 198, 199, 202, 215, 216, 228, 229, 232, 235, 252, 256, 260, 318, 320, 329, 333, 335, 342, 343, 345, 346, 347, 349, 382, 384, 385, 424 ]>,
 <5, 82, [ 123, 127, 129, 134, 143, 144, 155, 156, 159, 164, 165, 168, 173, 175, 196, 200, 212, 237, 246, 251, 253, 259, 347, 439, 440, 443, 446 ]>,
 <5, 83, [ 123, 128, 130, 133, 143, 161, 162, 168, 169, 174, 176, 258, 291, 308, 309, 348, 375, 444, 455, 458 ]>,
 <5, 84, [ 124, 126, 127, 129, 134, 146, 148, 155, 178, 179, 180, 183, 184, 190, 191, 200, 238, 241, 242, 249, 251, 253, 265, 349, 412, 417]>,
 <5, 85, [ 124, 131, 135, 136, 151, 152, 179, 185, 194, 197, 219, 223, 239, 240, 245, 266, 272, 299, 301 ]>,
 <5, 86, [ 125, 126, 130, 131, 137, 139, 143, 172, 176, 177, 182, 187, 192, 193, 203, 206, 211, 255, 271, 274, 291, 292, 295 ]>,
 <5, 87, [ 125, 127, 135, 138, 158, 167, 172, 173, 178, 186, 190, 206, 235, 249, 283, 350, 373, 378, 387, 393, 412 ]>,
 <5, 88, [ 125, 131, 132, 139, 140, 177, 182, 195, 213, 272, 288, 295, 315 ]>,
 <5, 89, [ 126, 130, 132, 142, 143, 181, 182, 255, 271, 286, 287, 288, 362 ]>,
 <5, 90, [ 130, 131, 137, 140, 142, 181, 192, 193, 226, 257, 271, 273, 293, 297 ]>,
 <5, 91, [ 134, 135, 137, 138, 141, 146, 148, 150, 152, 157, 166, 167, 179, 180, 183, 184, 186, 191, 205, 207, 221, 221, 222, 223, 224, 225, 230, 234, 238, 242, 244, 250, 251, 265, 267, 351, 393, 397, 398, 403, 417 ]>,
 <5, 92, [ 141, 143, 180, 182, 188, 190, 196, 199, 200, 202, 237, 240, 241, 264, 275, 284, 306, 311, 362 ]>,
 <5, 93, [ 147, 149, 150, 151, 160, 163, 164, 183, 184, 185, 189, 192, 208, 211, 212, 214, 217, 218, 220, 221, 222, 225, 229, 277, 280, 304]>,
 <5, 94, [ 147, 148, 149, 150, 152, 153, 154, 160, 163, 164, 165, 166, 166, 170, 171, 173, 175, 186, 191, 193, 198, 207, 207, 208, 209, 210, 216, 218, 227, 228, 228, 229, 229, 230, 231, 232, 233, 243, 250, 277, 278, 320, 321, 322, 325, 328, 331, 333, 334, 336, 342, 347, 349, 351, 352, 394, 396, 397, 443 ]>,
 <5, 95, [ 148, 151, 165, 167, 183, 187, 189, 192, 197, 199, 201, 207, 215, 220, 221, 234, 242, 247, 248, 254, 263, 266, 268, 269, 270, 274, 278, 280, 284, 304 ]>,
 <5, 96, [ 150, 151, 169, 171, 192, 209, 214, 216, 224, 226, 254, 260, 267, 269, 273, 274, 279, 282, 300, 301, 309 ]>,
 <5, 97, [ 153, 154, 161, 169, 176, 193, 209, 231, 257, 279, 300, 321, 324, 326, 337, 348, 353, 360, 458 ]>,
 <5, 98, [ 163, 167, 171, 197, 207, 210, 215, 226, 228, 243, 244, 247, 252, 254, 260, 270, 278, 283, 305, 329, 334, 341, 354, 358, 433, 437]>,
 <5, 99, [ 172, 173, 179, 180, 184, 221, 223, 225, 235, 242, 261, 265, 276, 283, 355, 387, 390, 403, 417, 430 ]>,
 <5, 100, [ 172, 177, 181, 192, 211, 213, 226, 255, 272, 274, 283, 297, 307 ]>,
 <5, 101, [ 173, 176, 183, 185, 188, 211, 220, 222, 261, 274, 275, 276, 280, 281, 284, 304, 313 ]>,
 <5, 102, [ 184, 185, 186, 188, 191, 192, 193, 198, 199, 202, 205, 214, 215, 216, 219, 222, 225, 227, 230, 232, 234, 236, 239, 248, 252, 273, 275, 278, 280, 281, 282, 285, 349, 350, 351, 355, 398 ]>,
 <5, 103, [ 205, 206, 234, 235, 236, 238, 239, 240, 241, 248, 261, 271, 275, 276, 296, 311, 312, 378, 390, 398 ]>,
 <5, 104, [ 215, 216, 217, 218, 219, 226, 229, 230, 231, 232, 233, 250, 257, 277, 278, 279, 285, 329, 332, 333, 336, 337, 342, 344, 346, 351, 352, 354, 356, 357, 435 ]>,
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 <7, 471, [ 313, 317, 322, 328, 456, 457, 471, 481, 527, 568, 570, 571, 596, 597, 965, 1187, 1191, 1192, 1193, 1194, 1195, 1195, 1196, 1197, 1201, 1202, 1212, 1214, 1217, 1245 ]>,
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 <7, 509, [ 363, 367, 475, 489, 496, 518, 604, 624, 1001, 1252, 1297, 1665, 1666, 1670, 1765, 1767, 1774 ]>,
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 <7, 513, [ 367, 372, 516, 517, 536, 620, 623, 629, 633, 634, 1096 ]>,
 <7, 514, [ 368, 372, 374, 520, 521, 528, 561, 634, 635, 636, 1004, 1118, 1242, 1246, 1249, 1704, 1738 ]>,
 <7, 515, [ 369, 372, 376, 522, 523, 534, 635, 637, 1005, 1118, 1148, 1149, 1150, 1151, 1155, 1159, 1164, 1181, 1183, 1200, 1708, 1740 ]>,
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 <7, 517, [ 375, 376, 531, 532, 638, 1007, 1162, 1163, 1188, 1193, 1210 ]>,
 <7, 518, [ 377, 382, 384, 393, 403, 426, 457, 460, 472, 488, 541, 566, 1008, 1149, 1438, 1444 ]>,
 <7, 519, [ 378, 384, 403, 431, 446, 541, 569, 1009, 1135, 1217 ]>,
 <7, 520, [ 379, 383, 394, 396, 407, 410, 415, 417, 433, 436, 437, 438, 439, 520, 559, 562, 585, 1010, 1155, 1208, 1213 ]>,
 <7, 521, [ 380, 384, 403, 441, 446, 514, 527, 532, 543, 568, 1011, 1187, 1195, 1197, 1214, 1216, 1217, 1244 ]>,
 <7, 522, [ 385, 386, 390, 453, 456, 462, 464, 639, 1012, 1123, 1126, 1159, 1244 ]>,
 <7, 523, [ 385, 387, 389, 421, 423, 448, 449, 454, 455, 456, 457, 477, 596, 597, 1013, 1183, 1184, 1186, 1201, 1202, 1203, 1204, 1214, 1217, 1225, 1227, 1241 ]>,
 <7, 524, [ 385, 388, 391, 456, 458, 500, 506, 614, 616, 621, 639, 1014, 1123, 1147, 1274 ]>,
 <7, 525, [ 385, 392, 393, 460, 501, 507, 1015, 1135, 1138, 1432, 1433 ]>,
 <7, 526, [ 386, 388, 398, 453, 456, 463, 464, 476, 621, 639, 640, 1016, 1159, 1244, 1245, 1245 ]>,
 <7, 527, [ 386, 389, 402, 464, 465, 481, 641, 642, 1017, 1127, 1128, 1164, 1194, 1195, 1195, 1197, 1208, 1216, 1217, 1226, 1245 ]>,
 <7, 528, [ 386, 388, 390, 391, 398, 400, 404, 464, 466, 468, 476, 476, 482, 503, 506, 628, 640, 643, 1018, 1136, 1139, 1301 ]>,
 <7, 529, [ 386, 388, 391, 392, 400, 464, 467, 468, 482, 1019, 1125, 1126, 1135, 1136, 1300 ]>,
 <7, 530, [ 386, 391, 393, 401, 405, 470, 483, 616, 617, 631, 639, 1095, 1097 ]>,
 <7, 531, [ 388, 390, 393, 400, 401, 456, 460, 479, 483, 504, 507, 521, 644, 1020, 1118, 1126, 1136, 1244, 1433, 1439 ]>,
 <7, 532, [ 390, 391, 392, 400, 405, 491, 506, 512, 529, 627, 643, 1012, 1014, 1015, 1019, 1020, 1021, 1087, 1106, 1108, 1125 ]>,
 <7, 533, [ 398, 400, 404, 405, 482, 491, 519, 529, 628, 647, 1016, 1018, 1020, 1022, 1023, 1044 ]>,
 <7, 534, [ 398, 401, 404, 476, 479, 483, 517, 521, 635, 636, 644, 1023, 1139, 1245, 1439 ]>,
 <7, 535, [ 399, 401, 402, 403, 521, 523, 527, 637, 638, 646, 1024, 1127, 1128, 1164, 1187, 1189, 1192, 1194, 1195, 1209, 1216, 1225, 1245]>,
 <7, 536, [ 406, 421, 424, 595, 597, 1025, 1184, 1185, 1187 ]>,
 <7, 537, [ 406, 412, 425, 444, 595, 1026, 1181, 1207, 1233, 1595, 1596, 1611, 1638, 1639 ]>,
 <7, 538, [ 408, 427, 429, 554, 555, 592, 600, 1027, 1218, 1626, 1627, 1633, 1653, 1675, 1676, 1780 ]>,
 <7, 539, [ 408, 411, 413, 419, 420, 430, 437, 442, 445, 447, 529, 572, 581, 587, 590, 600, 601, 776, 779, 783, 809, 822, 885, 888, 923, 936, 937, 941, 944, 945, 963, 1000, 1028, 1073, 1111, 1112, 1157, 1178, 1360, 1382, 1529 ]>,
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 <8, 785, [ 371, 385, 503, 529, 584 ]>,
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 <8, 861, [ 418, 422, 430, 553, 558, 574, 682, 706, 716, 720, 759, 1142, 1310, 1326 ]>,
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 <8, 901, [ 451, 454, 455, 463, 464, 484, 486, 505, 508, 509, 514, 579, 580, 595, 596, 598, 599, 607, 615, 616, 617, 627, 632, 632, 632, 633, 634, 636, 639, 650, 680, 780, 783, 797, 977, 1088, 1090, 1090, 1090, 1095, 1098 ]>,
 <8, 902, [ 451, 454, 456, 461, 462, 463, 464, 469, 475, 478, 486, 511, 517, 579, 583, 607, 614, 616, 628, 636, 638, 715, 721, 755, 765, 784, 834, 973, 1092, 1526, 1554 ]>,
 <8, 903, [ 451, 452, 454, 455, 462, 463, 464, 464, 465, 468, 483, 485, 486, 488, 512, 516, 535, 536, 541, 542, 544, 579, 581, 595, 595, 597, 600, 607, 609, 616, 618, 628, 628, 636, 640, 650, 651, 683, 688, 712, 782, 784, 787, 972, 973, 1092, 1391, 1392, 1404, 1405, 1414, 1874, 1874 ]>,
 <8, 904, [ 451, 452, 456, 459, 461, 465, 468, 469, 480, 485, 488, 489, 491, 492, 494, 540, 541, 543, 600, 620, 629, 690, 696, 714, 718, 728, 785, 826, 836, 1405, 1406 ]>,
 <8, 905, [ 451, 457, 465, 466, 468, 488, 491, 499, 500, 504, 505, 505, 506, 540, 541, 546, 594, 598, 604, 635, 688, 695, 786, 1388, 1389, 1405, 1407, 1428, 1429, 1430, 1432, 1432, 1437, 1701, 1705 ]>,
 <8, 906, [ 452, 453, 454, 461, 462, 463, 468, 484, 488, 495, 502, 507, 508, 516, 527, 534, 535, 536, 542, 578, 578, 579, 581, 582, 583, 595, 600, 607, 608, 619, 630, 767, 782, 1396, 1397, 1399, 1872, 1873, 1874 ]>,
 <8, 907, [ 453, 455, 473, 475, 476, 477, 478, 505, 507, 509, 514, 519, 524, 598, 599, 602, 627, 632, 633, 634, 670, 670, 673, 680, 757, 761, 772, 774, 783, 796, 829, 830, 839, 839, 974, 983, 1086, 1086, 1086, 1088, 1090, 1093 ]>,
 <8, 908, [ 453, 456, 458, 461, 462, 463, 466, 467, 472, 475, 477, 477, 479, 484, 507, 508, 509, 511, 515, 519, 522, 531, 607, 608, 651, 670, 681, 684, 724, 764, 765, 767, 771, 772, 782, 837, 983, 1531, 1534, 1545, 1559, 1672, 1673, 1946, 1947, 1949 ]>,
 <8, 909, [ 453, 455, 456, 457, 473, 476, 477, 480, 484, 485, 500, 508, 509, 509, 512, 519, 519, 520, 521, 522, 527, 530, 538, 539, 541, 542, 579, 581, 595, 600, 616, 651, 651, 670, 670, 681, 755, 772, 775, 782, 972, 974, 1404, 1407, 1410, 1414, 1534, 1535, 1559, 1894, 1894, 1895 ]>,
 <8, 910, [ 454, 456, 476, 477, 484, 499, 514, 517, 524, 528, 580, 617, 632, 651, 680, 681, 684, 755, 760, 765, 766, 788, 824, 835, 836, 972, 973, 976, 977, 1090, 1095, 1098, 1534, 1558 ]>,
 <8, 911, [ 454, 457, 462, 464, 466, 492, 510, 514, 514, 516, 524, 525, 527, 539, 542, 579, 580, 596, 598, 602, 632, 634, 643, 651, 670, 680, 683, 724, 732, 766, 789, 1090, 1429, 1431, 1436, 1894, 1898, 1899, 1950 ]>,
 <8, 912, [ 455, 509, 512, 519, 521, 602, 604, 634, 635, 639, 642, 672, 673, 761, 774, 775, 777, 783, 788, 796, 974, 975, 976, 1086, 1410, 1413 ]>,
 <8, 913, [ 455, 456, 475, 479, 483, 487, 530, 614, 685, 689, 732, 790, 1526, 1529, 1556, 1671, 1675, 1675, 1676, 1700 ]>,
 <8, 914, [ 455, 457, 494, 507, 512, 516, 517, 521, 522, 532, 538, 543, 544, 597, 605, 684, 690, 718, 734, 755, 778, 791, 1895 ]>,
 <8, 915, [ 458, 460, 464, 471, 472, 474, 476, 477, 509, 519, 606, 609, 623, 664, 670, 682, 716, 722, 726, 764, 771, 772, 828, 830, 947, 1077, 1349 ]>,
 <8, 916, [ 458, 461, 462, 463, 464, 475, 476, 477, 478, 483, 484, 499, 508, 510, 514, 514, 598, 599, 602, 611, 627, 632, 680, 721, 725, 765, 766, 766, 767, 783, 797, 833, 834, 973, 983, 1085, 1088, 1090, 1093, 1093, 1095, 1098 ]>,
 <8, 917, [ 458, 464, 465, 473, 478, 500, 502, 507, 509, 512, 519, 521, 609, 628, 670, 683, 688, 712, 757, 777, 784, 948, 984, 1390, 1391]>,
 <8, 918, [ 458, 468, 480, 491, 492, 495, 499, 504, 505, 545, 546, 613, 629, 715, 719, 727, 756, 786, 802, 1393, 1397, 1406, 1408, 1409, 1409, 1411, 1418, 1432, 1523, 1553 ]>,
 <8, 919, [ 459, 462, 464, 475, 480, 492, 516, 581, 583, 600, 618, 619, 628, 629, 650, 651, 715, 733, 750, 751, 753, 765, 787, 836, 943, 948, 962, 972, 1092, 1404, 1406, 1415, 1527, 1528, 1555, 1896, 1896 ]>,
 <8, 920, [ 460, 467, 498, 520, 523, 526, 625, 658, 681, 706, 773, 964, 978, 980, 1469, 1474, 1487, 1655, 1661, 1666, 1678, 1932, 1934 ]>,
 <8, 921, [ 461, 466, 487, 499, 501, 505, 515, 525, 526, 531, 598, 629, 689, 715, 727, 786, 833, 836, 1523, 1524, 1553, 1673, 1678, 1679, 1681, 1682, 1682, 1701, 1708 ]>,
 <8, 922, [ 462, 465, 499, 502, 504, 507, 514, 516, 524, 527, 578, 580, 581, 582, 596, 599, 600, 602, 608, 611, 627, 642, 670, 680, 712, 758, 767, 770, 788, 948, 1093, 1396, 1398 ]>,
 <8, 923, [ 462, 469, 504, 510, 511, 528, 578, 583, 596, 608, 610, 627, 637, 680, 681, 756, 758, 788, 983, 984, 1085, 1098, 1545, 1558 ]>,
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 <8, 925, [ 463, 464, 465, 468, 484, 488, 505, 514, 516, 519, 521, 524, 524, 527, 535, 536, 541, 542, 542, 544, 546, 547, 580, 580, 581, 595, 596, 596, 599, 602, 604, 607, 608, 609, 611, 617, 619, 627, 627, 627, 628, 630, 632, 632, 632, 632, 633, 634, 634, 634, 637, 639, 642, 642, 643, 650, 651, 712, 712, 782, 783, 788, 789, 798, 1090, 1398, 1399, 1431, 1432, 1436, 1874, 1876, 1876, 1903 ]>,
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