-------
(12, 1280, 7) ALL distance distributions for EXTERNAL point
(7, 1280, 7) has 0 possible DDs: {}
(8, 1280, 7) has 1 possible DDs: {[0, 80, 0, 560, 0, 560, 0, 80, 0]}
(9, 1280, 7) has 6 possible DDs: {[0, 40, 40, 280, 280, 280, 280, 40, 40, 0], [0, 41, 32, 308, 224, 350, 224, 68, 32, 1], [0, 42, 24, 336, 168, 420, 168, 96, 24, 2], [0, 43, 16, 364, 112, 490, 112, 124, 16, 3], [0, 44, 8, 392, 56, 560, 56, 152, 8, 4], [0, 45, 0, 420, 0, 630, 0, 180, 0, 5]}
(10, 1280, 7) has 28 possible DDs: {[0, 16, 72, 48, 504, 0, 504, 48, 72, 16, 0], [0, 17, 64, 76, 448, 70, 448, 76, 64, 17, 0], [0, 17, 65, 68, 476, 14, 518, 20, 92, 9, 1], [0, 18, 56, 104, 392, 140, 392, 104, 56, 18, 0], [0, 18, 57, 96, 420, 84, 462, 48, 84, 10, 1], [0, 19, 48, 132, 336, 210, 336, 132, 48, 19, 0], [0, 19, 49, 124, 364, 154, 406, 76, 76, 11, 1], [0, 19, 50, 116, 392, 98, 476, 20, 104, 3, 2], [0, 20, 40, 160, 280, 280, 280, 160, 40, 20, 0], [0, 20, 41, 152, 308, 224, 350, 104, 68, 12, 1], [0, 20, 42, 144, 336, 168, 420, 48, 96, 4, 2], [0, 21, 32, 188, 224, 350, 224, 188, 32, 21, 0], [0, 21, 33, 180, 252, 294, 294, 132, 60, 13, 1], [0, 21, 34, 172, 280, 238, 364, 76, 88, 5, 2], [0, 22, 24, 216, 168, 420, 168, 216, 24, 22, 0], [0, 22, 25, 208, 196, 364, 238, 160, 52, 14, 1], [0, 22, 26, 200, 224, 308, 308, 104, 80, 6, 2], [0, 23, 16, 244, 112, 490, 112, 244, 16, 23, 0], [0, 23, 17, 236, 140, 434, 182, 188, 44, 15, 1], [0, 23, 18, 228, 168, 378, 252, 132, 72, 7, 2], [0, 24, 8, 272, 56, 560, 56, 272, 8, 24, 0], [0, 24, 9, 264, 84, 504, 126, 216, 36, 16, 1], [0, 24, 10, 256, 112, 448, 196, 160, 64, 8, 2], [0, 24, 11, 248, 140, 392, 266, 104, 92, 0, 3], [0, 25, 0, 300, 0, 630, 0, 300, 0, 25, 0], [0, 25, 1, 292, 28, 574, 70, 244, 28, 17, 1], [0, 25, 2, 284, 56, 518, 140, 188, 56, 9, 2], [0, 25, 3, 276, 84, 462, 210, 132, 84, 1, 3]}
(11, 1280, 7) has 115 possible DDs: {[0, 5, 65, 0, 360, 210, 210, 360, 0, 65, 5, 0], [0, 6, 58, 20, 332, 224, 224, 332, 20, 58, 6, 0], [0, 6, 59, 12, 360, 168, 294, 276, 48, 50, 7, 0], [0, 6, 60, 4, 388, 112, 364, 220, 76, 42, 8, 0], [0, 6, 60, 5, 380, 140, 308, 290, 20, 70, 0, 1], [0, 7, 50, 48, 276, 294, 168, 360, 12, 59, 6, 0], [0, 7, 51, 40, 304, 238, 238, 304, 40, 51, 7, 0], [0, 7, 52, 32, 332, 182, 308, 248, 68, 43, 8, 0], [0, 7, 52, 33, 324, 210, 252, 318, 12, 71, 0, 1], [0, 7, 53, 24, 360, 126, 378, 192, 96, 35, 9, 0], [0, 7, 53, 25, 352, 154, 322, 262, 40, 63, 1, 1], [0, 7, 54, 16, 388, 70, 448, 136, 124, 27, 10, 0], [0, 7, 54, 17, 380, 98, 392, 206, 68, 55, 2, 1], [0, 7, 55, 8, 416, 14, 518, 80, 152, 19, 11, 0], [0, 7, 55, 9, 408, 42, 462, 150, 96, 47, 3, 1], [0, 8, 42, 76, 220, 364, 112, 388, 4, 60, 6, 0], [0, 8, 43, 68, 248, 308, 182, 332, 32, 52, 7, 0], [0, 8, 44, 60, 276, 252, 252, 276, 60, 44, 8, 0], [0, 8, 44, 61, 268, 280, 196, 346, 4, 72, 0, 1], [0, 8, 45, 52, 304, 196, 322, 220, 88, 36, 9, 0], [0, 8, 45, 53, 296, 224, 266, 290, 32, 64, 1, 1], [0, 8, 46, 44, 332, 140, 392, 164, 116, 28, 10, 0], [0, 8, 46, 45, 324, 168, 336, 234, 60, 56, 2, 1], [0, 8, 47, 36, 360, 84, 462, 108, 144, 20, 11, 0], [0, 8, 47, 37, 352, 112, 406, 178, 88, 48, 3, 1], [0, 8, 48, 28, 388, 28, 532, 52, 172, 12, 12, 0], [0, 8, 48, 29, 380, 56, 476, 122, 116, 40, 4, 1], [0, 8, 49, 21, 408, 0, 546, 66, 144, 32, 5, 1], [0, 9, 35, 96, 192, 378, 126, 360, 24, 53, 7, 0], [0, 9, 36, 88, 220, 322, 196, 304, 52, 45, 8, 0], [0, 9, 37, 80, 248, 266, 266, 248, 80, 37, 9, 0], [0, 9, 37, 81, 240, 294, 210, 318, 24, 65, 1, 1], [0, 9, 38, 72, 276, 210, 336, 192, 108, 29, 10, 0], [0, 9, 38, 73, 268, 238, 280, 262, 52, 57, 2, 1], [0, 9, 39, 64, 304, 154, 406, 136, 136, 21, 11, 0], [0, 9, 39, 65, 296, 182, 350, 206, 80, 49, 3, 1], [0, 9, 40, 56, 332, 98, 476, 80, 164, 13, 12, 0], [0, 9, 40, 57, 324, 126, 420, 150, 108, 41, 4, 1], [0, 9, 41, 48, 360, 42, 546, 24, 192, 5, 13, 0], [0, 9, 41, 49, 352, 70, 490, 94, 136, 33, 5, 1], [0, 9, 42, 41, 380, 14, 560, 38, 164, 25, 6, 1], [0, 10, 27, 124, 136, 448, 70, 388, 16, 54, 7, 0], [0, 10, 28, 116, 164, 392, 140, 332, 44, 46, 8, 0], [0, 10, 29, 108, 192, 336, 210, 276, 72, 38, 9, 0], [0, 10, 29, 109, 184, 364, 154, 346, 16, 66, 1, 1], [0, 10, 30, 100, 220, 280, 280, 220, 100, 30, 10, 0], [0, 10, 30, 101, 212, 308, 224, 290, 44, 58, 2, 1], [0, 10, 31, 92, 248, 224, 350, 164, 128, 22, 11, 0], [0, 10, 31, 93, 240, 252, 294, 234, 72, 50, 3, 1], [0, 10, 32, 84, 276, 168, 420, 108, 156, 14, 12, 0], [0, 10, 32, 85, 268, 196, 364, 178, 100, 42, 4, 1], [0, 10, 33, 76, 304, 112, 490, 52, 184, 6, 13, 0], [0, 10, 33, 77, 296, 140, 434, 122, 128, 34, 5, 1], [0, 10, 34, 69, 324, 84, 504, 66, 156, 26, 6, 1], [0, 10, 35, 61, 352, 28, 574, 10, 184, 18, 7, 1], [0, 10, 36, 54, 372, 0, 588, 24, 156, 38, 0, 2], [0, 11, 19, 152, 80, 518, 14, 416, 8, 55, 7, 0], [0, 11, 20, 144, 108, 462, 84, 360, 36, 47, 8, 0], [0, 11, 21, 136, 136, 406, 154, 304, 64, 39, 9, 0], [0, 11, 21, 137, 128, 434, 98, 374, 8, 67, 1, 1], [0, 11, 22, 128, 164, 350, 224, 248, 92, 31, 10, 0], [0, 11, 22, 129, 156, 378, 168, 318, 36, 59, 2, 1], [0, 11, 23, 120, 192, 294, 294, 192, 120, 23, 11, 0], [0, 11, 23, 121, 184, 322, 238, 262, 64, 51, 3, 1], [0, 11, 24, 112, 220, 238, 364, 136, 148, 15, 12, 0], [0, 11, 24, 113, 212, 266, 308, 206, 92, 43, 4, 1], [0, 11, 25, 104, 248, 182, 434, 80, 176, 7, 13, 0], [0, 11, 25, 105, 240, 210, 378, 150, 120, 35, 5, 1], [0, 11, 26, 97, 268, 154, 448, 94, 148, 27, 6, 1], [0, 11, 27, 89, 296, 98, 518, 38, 176, 19, 7, 1], [0, 11, 28, 82, 316, 70, 532, 52, 148, 39, 0, 2], [0, 12, 12, 172, 52, 532, 28, 388, 28, 48, 8, 0], [0, 12, 13, 164, 80, 476, 98, 332, 56, 40, 9, 0], [0, 12, 13, 165, 72, 504, 42, 402, 0, 68, 1, 1], [0, 12, 14, 156, 108, 420, 168, 276, 84, 32, 10, 0], [0, 12, 14, 157, 100, 448, 112, 346, 28, 60, 2, 1], [0, 12, 15, 148, 136, 364, 238, 220, 112, 24, 11, 0], [0, 12, 15, 149, 128, 392, 182, 290, 56, 52, 3, 1], [0, 12, 16, 140, 164, 308, 308, 164, 140, 16, 12, 0], [0, 12, 16, 141, 156, 336, 252, 234, 84, 44, 4, 1], [0, 12, 17, 132, 192, 252, 378, 108, 168, 8, 13, 0], [0, 12, 17, 133, 184, 280, 322, 178, 112, 36, 5, 1], [0, 12, 18, 124, 220, 196, 448, 52, 196, 0, 14, 0], [0, 12, 18, 125, 212, 224, 392, 122, 140, 28, 6, 1], [0, 12, 19, 117, 240, 168, 462, 66, 168, 20, 7, 1], [0, 12, 20, 109, 268, 112, 532, 10, 196, 12, 8, 1], [0, 12, 20, 110, 260, 140, 476, 80, 140, 40, 0, 2], [0, 12, 21, 102, 288, 84, 546, 24, 168, 32, 1, 2], [0, 13, 5, 192, 24, 546, 42, 360, 48, 41, 9, 0], [0, 13, 6, 184, 52, 490, 112, 304, 76, 33, 10, 0], [0, 13, 6, 185, 44, 518, 56, 374, 20, 61, 2, 1], [0, 13, 7, 176, 80, 434, 182, 248, 104, 25, 11, 0], [0, 13, 7, 177, 72, 462, 126, 318, 48, 53, 3, 1], [0, 13, 8, 168, 108, 378, 252, 192, 132, 17, 12, 0], [0, 13, 8, 169, 100, 406, 196, 262, 76, 45, 4, 1], [0, 13, 9, 160, 136, 322, 322, 136, 160, 9, 13, 0], [0, 13, 9, 161, 128, 350, 266, 206, 104, 37, 5, 1], [0, 13, 10, 152, 164, 266, 392, 80, 188, 1, 14, 0], [0, 13, 10, 153, 156, 294, 336, 150, 132, 29, 6, 1], [0, 13, 11, 145, 184, 238, 406, 94, 160, 21, 7, 1], [0, 13, 12, 137, 212, 182, 476, 38, 188, 13, 8, 1], [0, 13, 12, 138, 204, 210, 420, 108, 132, 41, 0, 2], [0, 13, 13, 130, 232, 154, 490, 52, 160, 33, 1, 2], [0, 14, 0, 196, 52, 448, 196, 220, 124, 18, 12, 0], [0, 14, 0, 197, 44, 476, 140, 290, 68, 46, 4, 1], [0, 14, 1, 188, 80, 392, 266, 164, 152, 10, 13, 0], [0, 14, 1, 189, 72, 420, 210, 234, 96, 38, 5, 1], [0, 14, 2, 180, 108, 336, 336, 108, 180, 2, 14, 0], [0, 14, 2, 181, 100, 364, 280, 178, 124, 30, 6, 1], [0, 14, 3, 173, 128, 308, 350, 122, 152, 22, 7, 1], [0, 14, 4, 165, 156, 252, 420, 66, 180, 14, 8, 1], [0, 14, 4, 166, 148, 280, 364, 136, 124, 42, 0, 2], [0, 14, 5, 157, 184, 196, 490, 10, 208, 6, 9, 1], [0, 14, 5, 158, 176, 224, 434, 80, 152, 34, 1, 2], [0, 14, 6, 150, 204, 168, 504, 24, 180, 26, 2, 2]}
(12, 1280, 7) has 431 possible DDs: {[0, 0, 48, 16, 144, 432, 0, 432, 144, 16, 48, 0, 0], [0, 0, 49, 8, 172, 376, 70, 376, 172, 8, 49, 0, 0], [0, 0, 49, 9, 164, 404, 14, 446, 116, 36, 41, 1, 0], [0, 0, 50, 0, 200, 320, 140, 320, 200, 0, 50, 0, 0], [0, 0, 50, 1, 192, 348, 84, 390, 144, 28, 42, 1, 0], [0, 0, 50, 2, 184, 376, 28, 460, 88, 56, 34, 2, 0], [0, 1, 41, 36, 116, 446, 14, 404, 164, 9, 49, 0, 0], [0, 1, 42, 28, 144, 390, 84, 348, 192, 1, 50, 0, 0], [0, 1, 42, 29, 136, 418, 28, 418, 136, 29, 42, 1, 0], [0, 1, 43, 21, 164, 362, 98, 362, 164, 21, 43, 1, 0], [0, 1, 43, 22, 156, 390, 42, 432, 108, 49, 35, 2, 0], [0, 1, 44, 13, 192, 306, 168, 306, 192, 13, 44, 1, 0], [0, 1, 44, 14, 184, 334, 112, 376, 136, 41, 36, 2, 0], [0, 1, 44, 15, 176, 362, 56, 446, 80, 69, 28, 3, 0], [0, 1, 44, 16, 168, 390, 0, 516, 24, 97, 20, 4, 0], [0, 1, 45, 5, 220, 250, 238, 250, 220, 5, 45, 1, 0], [0, 1, 45, 6, 212, 278, 182, 320, 164, 33, 37, 2, 0], [0, 1, 45, 7, 204, 306, 126, 390, 108, 61, 29, 3, 0], [0, 1, 45, 8, 196, 334, 70, 460, 52, 89, 21, 4, 0], [0, 1, 46, 0, 224, 278, 140, 404, 80, 81, 22, 4, 0], [0, 1, 46, 1, 216, 306, 84, 474, 24, 109, 14, 5, 0], [0, 2, 34, 56, 88, 460, 28, 376, 184, 2, 50, 0, 0], [0, 2, 35, 49, 108, 432, 42, 390, 156, 22, 43, 1, 0], [0, 2, 36, 41, 136, 376, 112, 334, 184, 14, 44, 1, 0], [0, 2, 36, 42, 128, 404, 56, 404, 128, 42, 36, 2, 0], [0, 2, 36, 43, 120, 432, 0, 474, 72, 70, 28, 3, 0], [0, 2, 37, 33, 164, 320, 182, 278, 212, 6, 45, 1, 0], [0, 2, 37, 34, 156, 348, 126, 348, 156, 34, 37, 2, 0], [0, 2, 37, 35, 148, 376, 70, 418, 100, 62, 29, 3, 0], [0, 2, 37, 36, 140, 404, 14, 488, 44, 90, 21, 4, 0], [0, 2, 38, 26, 184, 292, 196, 292, 184, 26, 38, 2, 0], [0, 2, 38, 27, 176, 320, 140, 362, 128, 54, 30, 3, 0], [0, 2, 38, 28, 168, 348, 84, 432, 72, 82, 22, 4, 0], [0, 2, 38, 29, 160, 376, 28, 502, 16, 110, 14, 5, 0], [0, 2, 39, 18, 212, 236, 266, 236, 212, 18, 39, 2, 0], [0, 2, 39, 19, 204, 264, 210, 306, 156, 46, 31, 3, 0], [0, 2, 39, 20, 196, 292, 154, 376, 100, 74, 23, 4, 0], [0, 2, 39, 21, 188, 320, 98, 446, 44, 102, 15, 5, 0], [0, 2, 40, 10, 240, 180, 336, 180, 240, 10, 40, 2, 0], [0, 2, 40, 11, 232, 208, 280, 250, 184, 38, 32, 3, 0], [0, 2, 40, 12, 224, 236, 224, 320, 128, 66, 24, 4, 0], [0, 2, 40, 13, 216, 264, 168, 390, 72, 94, 16, 5, 0], [0, 2, 40, 14, 208, 292, 112, 460, 16, 122, 8, 6, 0], [0, 2, 41, 2, 268, 124, 406, 124, 268, 2, 41, 2, 0], [0, 2, 41, 3, 260, 152, 350, 194, 212, 30, 33, 3, 0], [0, 2, 41, 4, 252, 180, 294, 264, 156, 58, 25, 4, 0], [0, 2, 41, 5, 244, 208, 238, 334, 100, 86, 17, 5, 0], [0, 2, 41, 6, 236, 236, 182, 404, 44, 114, 9, 6, 0], [0, 2, 41, 8, 221, 284, 98, 488, 2, 114, 21, 0, 1], [0, 2, 42, 0, 249, 228, 168, 432, 30, 106, 22, 0, 1], [0, 3, 28, 69, 80, 446, 56, 362, 176, 15, 44, 1, 0], [0, 3, 28, 70, 72, 474, 0, 432, 120, 43, 36, 2, 0], [0, 3, 29, 61, 108, 390, 126, 306, 204, 7, 45, 1, 0], [0, 3, 29, 62, 100, 418, 70, 376, 148, 35, 37, 2, 0], [0, 3, 29, 63, 92, 446, 14, 446, 92, 63, 29, 3, 0], [0, 3, 30, 54, 128, 362, 140, 320, 176, 27, 38, 2, 0], [0, 3, 30, 55, 120, 390, 84, 390, 120, 55, 30, 3, 0], [0, 3, 30, 56, 112, 418, 28, 460, 64, 83, 22, 4, 0], [0, 3, 31, 46, 156, 306, 210, 264, 204, 19, 39, 2, 0], [0, 3, 31, 47, 148, 334, 154, 334, 148, 47, 31, 3, 0], [0, 3, 31, 48, 140, 362, 98, 404, 92, 75, 23, 4, 0], [0, 3, 31, 49, 132, 390, 42, 474, 36, 103, 15, 5, 0], [0, 3, 32, 38, 184, 250, 280, 208, 232, 11, 40, 2, 0], [0, 3, 32, 39, 176, 278, 224, 278, 176, 39, 32, 3, 0], [0, 3, 32, 40, 168, 306, 168, 348, 120, 67, 24, 4, 0], [0, 3, 32, 41, 160, 334, 112, 418, 64, 95, 16, 5, 0], [0, 3, 32, 42, 152, 362, 56, 488, 8, 123, 8, 6, 0], [0, 3, 33, 30, 212, 194, 350, 152, 260, 3, 41, 2, 0], [0, 3, 33, 31, 204, 222, 294, 222, 204, 31, 33, 3, 0], [0, 3, 33, 32, 196, 250, 238, 292, 148, 59, 25, 4, 0], [0, 3, 33, 33, 188, 278, 182, 362, 92, 87, 17, 5, 0], [0, 3, 33, 34, 180, 306, 126, 432, 36, 115, 9, 6, 0], [0, 3, 34, 23, 232, 166, 364, 166, 232, 23, 34, 3, 0], [0, 3, 34, 24, 224, 194, 308, 236, 176, 51, 26, 4, 0], [0, 3, 34, 25, 216, 222, 252, 306, 120, 79, 18, 5, 0], [0, 3, 34, 26, 208, 250, 196, 376, 64, 107, 10, 6, 0], [0, 3, 34, 27, 200, 278, 140, 446, 8, 135, 2, 7, 0], [0, 3, 34, 28, 193, 298, 112, 460, 22, 107, 22, 0, 1], [0, 3, 35, 15, 260, 110, 434, 110, 260, 15, 35, 3, 0], [0, 3, 35, 16, 252, 138, 378, 180, 204, 43, 27, 4, 0], [0, 3, 35, 17, 244, 166, 322, 250, 148, 71, 19, 5, 0], [0, 3, 35, 18, 236, 194, 266, 320, 92, 99, 11, 6, 0], [0, 3, 35, 19, 228, 222, 210, 390, 36, 127, 3, 7, 0], [0, 3, 35, 20, 221, 242, 182, 404, 50, 99, 23, 0, 1], [0, 3, 36, 7, 288, 54, 504, 54, 288, 7, 36, 3, 0], [0, 3, 36, 8, 280, 82, 448, 124, 232, 35, 28, 4, 0], [0, 3, 36, 9, 272, 110, 392, 194, 176, 63, 20, 5, 0], [0, 3, 36, 10, 264, 138, 336, 264, 120, 91, 12, 6, 0], [0, 3, 36, 11, 256, 166, 280, 334, 64, 119, 4, 7, 0], [0, 3, 36, 12, 249, 186, 252, 348, 78, 91, 24, 0, 1], [0, 3, 36, 13, 241, 214, 196, 418, 22, 119, 16, 1, 1], [0, 3, 37, 0, 308, 26, 518, 68, 260, 27, 29, 4, 0], [0, 3, 37, 1, 300, 54, 462, 138, 204, 55, 21, 5, 0], [0, 3, 37, 2, 292, 82, 406, 208, 148, 83, 13, 6, 0], [0, 3, 37, 3, 284, 110, 350, 278, 92, 111, 5, 7, 0], [0, 3, 37, 4, 277, 130, 322, 292, 106, 83, 25, 0, 1], [0, 3, 37, 5, 269, 158, 266, 362, 50, 111, 17, 1, 1], [0, 4, 20, 97, 24, 516, 0, 390, 168, 16, 44, 1, 0], [0, 4, 21, 89, 52, 460, 70, 334, 196, 8, 45, 1, 0], [0, 4, 21, 90, 44, 488, 14, 404, 140, 36, 37, 2, 0], [0, 4, 22, 81, 80, 404, 140, 278, 224, 0, 46, 1, 0], [0, 4, 22, 82, 72, 432, 84, 348, 168, 28, 38, 2, 0], [0, 4, 22, 83, 64, 460, 28, 418, 112, 56, 30, 3, 0], [0, 4, 23, 74, 100, 376, 154, 292, 196, 20, 39, 2, 0], [0, 4, 23, 75, 92, 404, 98, 362, 140, 48, 31, 3, 0], [0, 4, 23, 76, 84, 432, 42, 432, 84, 76, 23, 4, 0], [0, 4, 24, 66, 128, 320, 224, 236, 224, 12, 40, 2, 0], [0, 4, 24, 67, 120, 348, 168, 306, 168, 40, 32, 3, 0], [0, 4, 24, 68, 112, 376, 112, 376, 112, 68, 24, 4, 0], [0, 4, 24, 69, 104, 404, 56, 446, 56, 96, 16, 5, 0], [0, 4, 24, 70, 96, 432, 0, 516, 0, 124, 8, 6, 0], [0, 4, 25, 58, 156, 264, 294, 180, 252, 4, 41, 2, 0], [0, 4, 25, 59, 148, 292, 238, 250, 196, 32, 33, 3, 0], [0, 4, 25, 60, 140, 320, 182, 320, 140, 60, 25, 4, 0], [0, 4, 25, 61, 132, 348, 126, 390, 84, 88, 17, 5, 0], [0, 4, 25, 62, 124, 376, 70, 460, 28, 116, 9, 6, 0], [0, 4, 26, 51, 176, 236, 308, 194, 224, 24, 34, 3, 0], [0, 4, 26, 52, 168, 264, 252, 264, 168, 52, 26, 4, 0], [0, 4, 26, 53, 160, 292, 196, 334, 112, 80, 18, 5, 0], [0, 4, 26, 54, 152, 320, 140, 404, 56, 108, 10, 6, 0], [0, 4, 26, 55, 144, 348, 84, 474, 0, 136, 2, 7, 0], [0, 4, 26, 56, 137, 368, 56, 488, 14, 108, 22, 0, 1], [0, 4, 27, 43, 204, 180, 378, 138, 252, 16, 35, 3, 0], [0, 4, 27, 44, 196, 208, 322, 208, 196, 44, 27, 4, 0], [0, 4, 27, 45, 188, 236, 266, 278, 140, 72, 19, 5, 0], [0, 4, 27, 46, 180, 264, 210, 348, 84, 100, 11, 6, 0], [0, 4, 27, 47, 172, 292, 154, 418, 28, 128, 3, 7, 0], [0, 4, 27, 48, 165, 312, 126, 432, 42, 100, 23, 0, 1], [0, 4, 28, 35, 232, 124, 448, 82, 280, 8, 36, 3, 0], [0, 4, 28, 36, 224, 152, 392, 152, 224, 36, 28, 4, 0], [0, 4, 28, 37, 216, 180, 336, 222, 168, 64, 20, 5, 0], [0, 4, 28, 38, 208, 208, 280, 292, 112, 92, 12, 6, 0], [0, 4, 28, 39, 200, 236, 224, 362, 56, 120, 4, 7, 0], [0, 4, 28, 40, 193, 256, 196, 376, 70, 92, 24, 0, 1], [0, 4, 28, 41, 185, 284, 140, 446, 14, 120, 16, 1, 1], [0, 4, 29, 27, 260, 68, 518, 26, 308, 0, 37, 3, 0], [0, 4, 29, 28, 252, 96, 462, 96, 252, 28, 29, 4, 0], [0, 4, 29, 29, 244, 124, 406, 166, 196, 56, 21, 5, 0], [0, 4, 29, 30, 236, 152, 350, 236, 140, 84, 13, 6, 0], [0, 4, 29, 31, 228, 180, 294, 306, 84, 112, 5, 7, 0], [0, 4, 29, 32, 221, 200, 266, 320, 98, 84, 25, 0, 1], [0, 4, 29, 33, 213, 228, 210, 390, 42, 112, 17, 1, 1], [0, 4, 30, 20, 280, 40, 532, 40, 280, 20, 30, 4, 0], [0, 4, 30, 21, 272, 68, 476, 110, 224, 48, 22, 5, 0], [0, 4, 30, 22, 264, 96, 420, 180, 168, 76, 14, 6, 0], [0, 4, 30, 23, 256, 124, 364, 250, 112, 104, 6, 7, 0], [0, 4, 30, 24, 249, 144, 336, 264, 126, 76, 26, 0, 1], [0, 4, 30, 25, 241, 172, 280, 334, 70, 104, 18, 1, 1], [0, 4, 30, 26, 233, 200, 224, 404, 14, 132, 10, 2, 1], [0, 4, 31, 13, 300, 12, 546, 54, 252, 40, 23, 5, 0], [0, 4, 31, 14, 292, 40, 490, 124, 196, 68, 15, 6, 0], [0, 4, 31, 15, 284, 68, 434, 194, 140, 96, 7, 7, 0], [0, 4, 31, 16, 277, 88, 406, 208, 154, 68, 27, 0, 1], [0, 4, 31, 17, 269, 116, 350, 278, 98, 96, 19, 1, 1], [0, 4, 31, 18, 261, 144, 294, 348, 42, 124, 11, 2, 1], [0, 4, 32, 7, 312, 12, 504, 138, 168, 88, 8, 7, 0], [0, 4, 32, 8, 304, 40, 448, 208, 112, 116, 0, 8, 0], [0, 4, 32, 8, 305, 32, 476, 152, 182, 60, 28, 0, 1], [0, 4, 32, 9, 297, 60, 420, 222, 126, 88, 20, 1, 1], [0, 4, 32, 10, 289, 88, 364, 292, 70, 116, 12, 2, 1], [0, 4, 32, 11, 281, 116, 308, 362, 14, 144, 4, 3, 1], [0, 4, 33, 1, 325, 4, 490, 166, 154, 80, 21, 1, 1], [0, 4, 33, 2, 317, 32, 434, 236, 98, 108, 13, 2, 1], [0, 4, 33, 3, 309, 60, 378, 306, 42, 136, 5, 3, 1], [0, 5, 14, 109, 24, 474, 84, 306, 216, 1, 46, 1, 0], [0, 5, 14, 110, 16, 502, 28, 376, 160, 29, 38, 2, 0], [0, 5, 15, 102, 44, 446, 98, 320, 188, 21, 39, 2, 0], [0, 5, 15, 103, 36, 474, 42, 390, 132, 49, 31, 3, 0], [0, 5, 16, 94, 72, 390, 168, 264, 216, 13, 40, 2, 0], [0, 5, 16, 95, 64, 418, 112, 334, 160, 41, 32, 3, 0], [0, 5, 16, 96, 56, 446, 56, 404, 104, 69, 24, 4, 0], [0, 5, 16, 97, 48, 474, 0, 474, 48, 97, 16, 5, 0], [0, 5, 17, 86, 100, 334, 238, 208, 244, 5, 41, 2, 0], [0, 5, 17, 87, 92, 362, 182, 278, 188, 33, 33, 3, 0], [0, 5, 17, 88, 84, 390, 126, 348, 132, 61, 25, 4, 0], [0, 5, 17, 89, 76, 418, 70, 418, 76, 89, 17, 5, 0], [0, 5, 17, 90, 68, 446, 14, 488, 20, 117, 9, 6, 0], [0, 5, 18, 79, 120, 306, 252, 222, 216, 25, 34, 3, 0], [0, 5, 18, 80, 112, 334, 196, 292, 160, 53, 26, 4, 0], [0, 5, 18, 81, 104, 362, 140, 362, 104, 81, 18, 5, 0], [0, 5, 18, 82, 96, 390, 84, 432, 48, 109, 10, 6, 0], [0, 5, 18, 84, 81, 438, 0, 516, 6, 109, 22, 0, 1], [0, 5, 19, 71, 148, 250, 322, 166, 244, 17, 35, 3, 0], [0, 5, 19, 72, 140, 278, 266, 236, 188, 45, 27, 4, 0], [0, 5, 19, 73, 132, 306, 210, 306, 132, 73, 19, 5, 0], [0, 5, 19, 74, 124, 334, 154, 376, 76, 101, 11, 6, 0], [0, 5, 19, 75, 116, 362, 98, 446, 20, 129, 3, 7, 0], [0, 5, 19, 76, 109, 382, 70, 460, 34, 101, 23, 0, 1], [0, 5, 20, 63, 176, 194, 392, 110, 272, 9, 36, 3, 0], [0, 5, 20, 64, 168, 222, 336, 180, 216, 37, 28, 4, 0], [0, 5, 20, 65, 160, 250, 280, 250, 160, 65, 20, 5, 0], [0, 5, 20, 66, 152, 278, 224, 320, 104, 93, 12, 6, 0], [0, 5, 20, 67, 144, 306, 168, 390, 48, 121, 4, 7, 0], [0, 5, 20, 68, 137, 326, 140, 404, 62, 93, 24, 0, 1], [0, 5, 20, 69, 129, 354, 84, 474, 6, 121, 16, 1, 1], [0, 5, 21, 55, 204, 138, 462, 54, 300, 1, 37, 3, 0], [0, 5, 21, 56, 196, 166, 406, 124, 244, 29, 29, 4, 0], [0, 5, 21, 57, 188, 194, 350, 194, 188, 57, 21, 5, 0], [0, 5, 21, 58, 180, 222, 294, 264, 132, 85, 13, 6, 0], [0, 5, 21, 59, 172, 250, 238, 334, 76, 113, 5, 7, 0], [0, 5, 21, 60, 165, 270, 210, 348, 90, 85, 25, 0, 1], [0, 5, 21, 61, 157, 298, 154, 418, 34, 113, 17, 1, 1], [0, 5, 22, 48, 224, 110, 476, 68, 272, 21, 30, 4, 0], [0, 5, 22, 49, 216, 138, 420, 138, 216, 49, 22, 5, 0], [0, 5, 22, 50, 208, 166, 364, 208, 160, 77, 14, 6, 0], [0, 5, 22, 51, 200, 194, 308, 278, 104, 105, 6, 7, 0], [0, 5, 22, 52, 193, 214, 280, 292, 118, 77, 26, 0, 1], [0, 5, 22, 53, 185, 242, 224, 362, 62, 105, 18, 1, 1], [0, 5, 22, 54, 177, 270, 168, 432, 6, 133, 10, 2, 1], [0, 5, 23, 40, 252, 54, 546, 12, 300, 13, 31, 4, 0], [0, 5, 23, 41, 244, 82, 490, 82, 244, 41, 23, 5, 0], [0, 5, 23, 42, 236, 110, 434, 152, 188, 69, 15, 6, 0], [0, 5, 23, 43, 228, 138, 378, 222, 132, 97, 7, 7, 0], [0, 5, 23, 44, 221, 158, 350, 236, 146, 69, 27, 0, 1], [0, 5, 23, 45, 213, 186, 294, 306, 90, 97, 19, 1, 1], [0, 5, 23, 46, 205, 214, 238, 376, 34, 125, 11, 2, 1], [0, 5, 24, 33, 272, 26, 560, 26, 272, 33, 24, 5, 0], [0, 5, 24, 34, 264, 54, 504, 96, 216, 61, 16, 6, 0], [0, 5, 24, 35, 256, 82, 448, 166, 160, 89, 8, 7, 0], [0, 5, 24, 36, 248, 110, 392, 236, 104, 117, 0, 8, 0], [0, 5, 24, 36, 249, 102, 420, 180, 174, 61, 28, 0, 1], [0, 5, 24, 37, 241, 130, 364, 250, 118, 89, 20, 1, 1], [0, 5, 24, 38, 233, 158, 308, 320, 62, 117, 12, 2, 1], [0, 5, 24, 39, 225, 186, 252, 390, 6, 145, 4, 3, 1], [0, 5, 25, 27, 284, 26, 518, 110, 188, 81, 9, 7, 0], [0, 5, 25, 28, 276, 54, 462, 180, 132, 109, 1, 8, 0], [0, 5, 25, 28, 277, 46, 490, 124, 202, 53, 29, 0, 1], [0, 5, 25, 29, 269, 74, 434, 194, 146, 81, 21, 1, 1], [0, 5, 25, 30, 261, 102, 378, 264, 90, 109, 13, 2, 1], [0, 5, 25, 31, 253, 130, 322, 334, 34, 137, 5, 3, 1], [0, 5, 26, 21, 297, 18, 504, 138, 174, 73, 22, 1, 1], [0, 5, 26, 22, 289, 46, 448, 208, 118, 101, 14, 2, 1], [0, 5, 26, 23, 281, 74, 392, 278, 62, 129, 6, 3, 1], [0, 5, 27, 15, 309, 18, 462, 222, 90, 121, 7, 3, 1], [0, 6, 8, 122, 16, 460, 112, 292, 208, 14, 40, 2, 0], [0, 6, 8, 123, 8, 488, 56, 362, 152, 42, 32, 3, 0], [0, 6, 8, 124, 0, 516, 0, 432, 96, 70, 24, 4, 0], [0, 6, 9, 114, 44, 404, 182, 236, 236, 6, 41, 2, 0], [0, 6, 9, 115, 36, 432, 126, 306, 180, 34, 33, 3, 0], [0, 6, 9, 116, 28, 460, 70, 376, 124, 62, 25, 4, 0], [0, 6, 9, 117, 20, 488, 14, 446, 68, 90, 17, 5, 0], [0, 6, 10, 107, 64, 376, 196, 250, 208, 26, 34, 3, 0], [0, 6, 10, 108, 56, 404, 140, 320, 152, 54, 26, 4, 0], [0, 6, 10, 109, 48, 432, 84, 390, 96, 82, 18, 5, 0], [0, 6, 10, 110, 40, 460, 28, 460, 40, 110, 10, 6, 0], [0, 6, 11, 99, 92, 320, 266, 194, 236, 18, 35, 3, 0], [0, 6, 11, 100, 84, 348, 210, 264, 180, 46, 27, 4, 0], [0, 6, 11, 101, 76, 376, 154, 334, 124, 74, 19, 5, 0], [0, 6, 11, 102, 68, 404, 98, 404, 68, 102, 11, 6, 0], [0, 6, 11, 103, 60, 432, 42, 474, 12, 130, 3, 7, 0], [0, 6, 11, 104, 53, 452, 14, 488, 26, 102, 23, 0, 1], [0, 6, 12, 91, 120, 264, 336, 138, 264, 10, 36, 3, 0], [0, 6, 12, 92, 112, 292, 280, 208, 208, 38, 28, 4, 0], [0, 6, 12, 93, 104, 320, 224, 278, 152, 66, 20, 5, 0], [0, 6, 12, 94, 96, 348, 168, 348, 96, 94, 12, 6, 0], [0, 6, 12, 95, 88, 376, 112, 418, 40, 122, 4, 7, 0], [0, 6, 12, 96, 81, 396, 84, 432, 54, 94, 24, 0, 1], [0, 6, 13, 83, 148, 208, 406, 82, 292, 2, 37, 3, 0], [0, 6, 13, 84, 140, 236, 350, 152, 236, 30, 29, 4, 0], [0, 6, 13, 85, 132, 264, 294, 222, 180, 58, 21, 5, 0], [0, 6, 13, 86, 124, 292, 238, 292, 124, 86, 13, 6, 0], [0, 6, 13, 87, 116, 320, 182, 362, 68, 114, 5, 7, 0], [0, 6, 13, 88, 109, 340, 154, 376, 82, 86, 25, 0, 1], [0, 6, 13, 89, 101, 368, 98, 446, 26, 114, 17, 1, 1], [0, 6, 14, 76, 168, 180, 420, 96, 264, 22, 30, 4, 0], [0, 6, 14, 77, 160, 208, 364, 166, 208, 50, 22, 5, 0], [0, 6, 14, 78, 152, 236, 308, 236, 152, 78, 14, 6, 0], [0, 6, 14, 79, 144, 264, 252, 306, 96, 106, 6, 7, 0], [0, 6, 14, 80, 137, 284, 224, 320, 110, 78, 26, 0, 1], [0, 6, 14, 81, 129, 312, 168, 390, 54, 106, 18, 1, 1], [0, 6, 15, 68, 196, 124, 490, 40, 292, 14, 31, 4, 0], [0, 6, 15, 69, 188, 152, 434, 110, 236, 42, 23, 5, 0], [0, 6, 15, 70, 180, 180, 378, 180, 180, 70, 15, 6, 0], [0, 6, 15, 71, 172, 208, 322, 250, 124, 98, 7, 7, 0], [0, 6, 15, 72, 165, 228, 294, 264, 138, 70, 27, 0, 1], [0, 6, 15, 73, 157, 256, 238, 334, 82, 98, 19, 1, 1], [0, 6, 15, 74, 149, 284, 182, 404, 26, 126, 11, 2, 1], [0, 6, 16, 61, 216, 96, 504, 54, 264, 34, 24, 5, 0], [0, 6, 16, 62, 208, 124, 448, 124, 208, 62, 16, 6, 0], [0, 6, 16, 63, 200, 152, 392, 194, 152, 90, 8, 7, 0], [0, 6, 16, 64, 192, 180, 336, 264, 96, 118, 0, 8, 0], [0, 6, 16, 64, 193, 172, 364, 208, 166, 62, 28, 0, 1], [0, 6, 16, 65, 185, 200, 308, 278, 110, 90, 20, 1, 1], [0, 6, 16, 66, 177, 228, 252, 348, 54, 118, 12, 2, 1], [0, 6, 17, 54, 236, 68, 518, 68, 236, 54, 17, 6, 0], [0, 6, 17, 55, 228, 96, 462, 138, 180, 82, 9, 7, 0], [0, 6, 17, 56, 220, 124, 406, 208, 124, 110, 1, 8, 0], [0, 6, 17, 56, 221, 116, 434, 152, 194, 54, 29, 0, 1], [0, 6, 17, 57, 213, 144, 378, 222, 138, 82, 21, 1, 1], [0, 6, 17, 58, 205, 172, 322, 292, 82, 110, 13, 2, 1], [0, 6, 17, 59, 197, 200, 266, 362, 26, 138, 5, 3, 1], [0, 6, 18, 46, 264, 12, 588, 12, 264, 46, 18, 6, 0], [0, 6, 18, 47, 256, 40, 532, 82, 208, 74, 10, 7, 0], [0, 6, 18, 48, 248, 68, 476, 152, 152, 102, 2, 8, 0], [0, 6, 18, 48, 249, 60, 504, 96, 222, 46, 30, 0, 1], [0, 6, 18, 49, 241, 88, 448, 166, 166, 74, 22, 1, 1], [0, 6, 18, 50, 233, 116, 392, 236, 110, 102, 14, 2, 1], [0, 6, 18, 51, 225, 144, 336, 306, 54, 130, 6, 3, 1], [0, 6, 19, 40, 276, 12, 546, 96, 180, 94, 3, 8, 0], [0, 6, 19, 40, 277, 4, 574, 40, 250, 38, 31, 0, 1], [0, 6, 19, 41, 269, 32, 518, 110, 194, 66, 23, 1, 1], [0, 6, 19, 42, 261, 60, 462, 180, 138, 94, 15, 2, 1], [0, 6, 19, 43, 253, 88, 406, 250, 82, 122, 7, 3, 1], [0, 6, 20, 34, 289, 4, 532, 124, 166, 86, 16, 2, 1], [0, 6, 20, 35, 281, 32, 476, 194, 110, 114, 8, 3, 1], [0, 6, 20, 36, 273, 60, 420, 264, 54, 142, 0, 4, 1], [0, 6, 21, 28, 301, 4, 490, 208, 82, 134, 1, 4, 1], [0, 7, 2, 135, 8, 446, 140, 278, 200, 27, 34, 3, 0], [0, 7, 2, 136, 0, 474, 84, 348, 144, 55, 26, 4, 0], [0, 7, 3, 127, 36, 390, 210, 222, 228, 19, 35, 3, 0], [0, 7, 3, 128, 28, 418, 154, 292, 172, 47, 27, 4, 0], [0, 7, 3, 129, 20, 446, 98, 362, 116, 75, 19, 5, 0], [0, 7, 3, 130, 12, 474, 42, 432, 60, 103, 11, 6, 0], [0, 7, 4, 119, 64, 334, 280, 166, 256, 11, 36, 3, 0], [0, 7, 4, 120, 56, 362, 224, 236, 200, 39, 28, 4, 0], [0, 7, 4, 121, 48, 390, 168, 306, 144, 67, 20, 5, 0], [0, 7, 4, 122, 40, 418, 112, 376, 88, 95, 12, 6, 0], [0, 7, 4, 123, 32, 446, 56, 446, 32, 123, 4, 7, 0], [0, 7, 4, 124, 25, 466, 28, 460, 46, 95, 24, 0, 1], [0, 7, 5, 111, 92, 278, 350, 110, 284, 3, 37, 3, 0], [0, 7, 5, 112, 84, 306, 294, 180, 228, 31, 29, 4, 0], [0, 7, 5, 113, 76, 334, 238, 250, 172, 59, 21, 5, 0], [0, 7, 5, 114, 68, 362, 182, 320, 116, 87, 13, 6, 0], [0, 7, 5, 115, 60, 390, 126, 390, 60, 115, 5, 7, 0], [0, 7, 5, 116, 53, 410, 98, 404, 74, 87, 25, 0, 1], [0, 7, 5, 117, 45, 438, 42, 474, 18, 115, 17, 1, 1], [0, 7, 6, 104, 112, 250, 364, 124, 256, 23, 30, 4, 0], [0, 7, 6, 105, 104, 278, 308, 194, 200, 51, 22, 5, 0], [0, 7, 6, 106, 96, 306, 252, 264, 144, 79, 14, 6, 0], [0, 7, 6, 107, 88, 334, 196, 334, 88, 107, 6, 7, 0], [0, 7, 6, 108, 81, 354, 168, 348, 102, 79, 26, 0, 1], [0, 7, 6, 109, 73, 382, 112, 418, 46, 107, 18, 1, 1], [0, 7, 7, 96, 140, 194, 434, 68, 284, 15, 31, 4, 0], [0, 7, 7, 97, 132, 222, 378, 138, 228, 43, 23, 5, 0], [0, 7, 7, 98, 124, 250, 322, 208, 172, 71, 15, 6, 0], [0, 7, 7, 99, 116, 278, 266, 278, 116, 99, 7, 7, 0], [0, 7, 7, 100, 109, 298, 238, 292, 130, 71, 27, 0, 1], [0, 7, 7, 101, 101, 326, 182, 362, 74, 99, 19, 1, 1], [0, 7, 7, 102, 93, 354, 126, 432, 18, 127, 11, 2, 1], [0, 7, 8, 88, 168, 138, 504, 12, 312, 7, 32, 4, 0], [0, 7, 8, 89, 160, 166, 448, 82, 256, 35, 24, 5, 0], [0, 7, 8, 90, 152, 194, 392, 152, 200, 63, 16, 6, 0], [0, 7, 8, 91, 144, 222, 336, 222, 144, 91, 8, 7, 0], [0, 7, 8, 92, 136, 250, 280, 292, 88, 119, 0, 8, 0], [0, 7, 8, 92, 137, 242, 308, 236, 158, 63, 28, 0, 1], [0, 7, 8, 93, 129, 270, 252, 306, 102, 91, 20, 1, 1], [0, 7, 8, 94, 121, 298, 196, 376, 46, 119, 12, 2, 1], [0, 7, 9, 81, 188, 110, 518, 26, 284, 27, 25, 5, 0], [0, 7, 9, 82, 180, 138, 462, 96, 228, 55, 17, 6, 0], [0, 7, 9, 83, 172, 166, 406, 166, 172, 83, 9, 7, 0], [0, 7, 9, 84, 164, 194, 350, 236, 116, 111, 1, 8, 0], [0, 7, 9, 84, 165, 186, 378, 180, 186, 55, 29, 0, 1], [0, 7, 9, 85, 157, 214, 322, 250, 130, 83, 21, 1, 1], [0, 7, 9, 86, 149, 242, 266, 320, 74, 111, 13, 2, 1], [0, 7, 9, 87, 141, 270, 210, 390, 18, 139, 5, 3, 1], [0, 7, 10, 74, 208, 82, 532, 40, 256, 47, 18, 6, 0], [0, 7, 10, 75, 200, 110, 476, 110, 200, 75, 10, 7, 0], [0, 7, 10, 76, 192, 138, 420, 180, 144, 103, 2, 8, 0], [0, 7, 10, 76, 193, 130, 448, 124, 214, 47, 30, 0, 1], [0, 7, 10, 77, 185, 158, 392, 194, 158, 75, 22, 1, 1], [0, 7, 10, 78, 177, 186, 336, 264, 102, 103, 14, 2, 1], [0, 7, 10, 79, 169, 214, 280, 334, 46, 131, 6, 3, 1], [0, 7, 11, 67, 228, 54, 546, 54, 228, 67, 11, 7, 0], [0, 7, 11, 68, 220, 82, 490, 124, 172, 95, 3, 8, 0], [0, 7, 11, 68, 221, 74, 518, 68, 242, 39, 31, 0, 1], [0, 7, 11, 69, 213, 102, 462, 138, 186, 67, 23, 1, 1], [0, 7, 11, 70, 205, 130, 406, 208, 130, 95, 15, 2, 1], [0, 7, 11, 71, 197, 158, 350, 278, 74, 123, 7, 3, 1], [0, 7, 12, 60, 248, 26, 560, 68, 200, 87, 4, 8, 0], [0, 7, 12, 60, 249, 18, 588, 12, 270, 31, 32, 0, 1], [0, 7, 12, 61, 241, 46, 532, 82, 214, 59, 24, 1, 1], [0, 7, 12, 62, 233, 74, 476, 152, 158, 87, 16, 2, 1], [0, 7, 12, 63, 225, 102, 420, 222, 102, 115, 8, 3, 1], [0, 7, 12, 64, 217, 130, 364, 292, 46, 143, 0, 4, 1], [0, 7, 13, 54, 261, 18, 546, 96, 186, 79, 17, 2, 1], [0, 7, 13, 55, 253, 46, 490, 166, 130, 107, 9, 3, 1], [0, 7, 13, 56, 245, 74, 434, 236, 74, 135, 1, 4, 1], [0, 7, 14, 48, 273, 18, 504, 180, 102, 127, 2, 4, 1], [0, 7, 16, 36, 298, 10, 448, 292, 4, 167, 0, 0, 2], [0, 8, 0, 116, 112, 208, 448, 40, 304, 8, 32, 4, 0], [0, 8, 0, 117, 104, 236, 392, 110, 248, 36, 24, 5, 0], [0, 8, 0, 118, 96, 264, 336, 180, 192, 64, 16, 6, 0], [0, 8, 0, 119, 88, 292, 280, 250, 136, 92, 8, 7, 0], [0, 8, 0, 120, 80, 320, 224, 320, 80, 120, 0, 8, 0], [0, 8, 0, 120, 81, 312, 252, 264, 150, 64, 28, 0, 1], [0, 8, 0, 121, 73, 340, 196, 334, 94, 92, 20, 1, 1], [0, 8, 0, 122, 65, 368, 140, 404, 38, 120, 12, 2, 1], [0, 8, 1, 109, 132, 180, 462, 54, 276, 28, 25, 5, 0], [0, 8, 1, 110, 124, 208, 406, 124, 220, 56, 17, 6, 0], [0, 8, 1, 111, 116, 236, 350, 194, 164, 84, 9, 7, 0], [0, 8, 1, 112, 108, 264, 294, 264, 108, 112, 1, 8, 0], [0, 8, 1, 112, 109, 256, 322, 208, 178, 56, 29, 0, 1], [0, 8, 1, 113, 101, 284, 266, 278, 122, 84, 21, 1, 1], [0, 8, 1, 114, 93, 312, 210, 348, 66, 112, 13, 2, 1], [0, 8, 1, 115, 85, 340, 154, 418, 10, 140, 5, 3, 1], [0, 8, 2, 102, 152, 152, 476, 68, 248, 48, 18, 6, 0], [0, 8, 2, 103, 144, 180, 420, 138, 192, 76, 10, 7, 0], [0, 8, 2, 104, 136, 208, 364, 208, 136, 104, 2, 8, 0], [0, 8, 2, 104, 137, 200, 392, 152, 206, 48, 30, 0, 1], [0, 8, 2, 105, 129, 228, 336, 222, 150, 76, 22, 1, 1], [0, 8, 2, 106, 121, 256, 280, 292, 94, 104, 14, 2, 1], [0, 8, 2, 107, 113, 284, 224, 362, 38, 132, 6, 3, 1], [0, 8, 3, 94, 180, 96, 546, 12, 276, 40, 19, 6, 0], [0, 8, 3, 95, 172, 124, 490, 82, 220, 68, 11, 7, 0], [0, 8, 3, 96, 164, 152, 434, 152, 164, 96, 3, 8, 0], [0, 8, 3, 96, 165, 144, 462, 96, 234, 40, 31, 0, 1], [0, 8, 3, 97, 157, 172, 406, 166, 178, 68, 23, 1, 1], [0, 8, 3, 98, 149, 200, 350, 236, 122, 96, 15, 2, 1], [0, 8, 3, 99, 141, 228, 294, 306, 66, 124, 7, 3, 1], [0, 8, 4, 87, 200, 68, 560, 26, 248, 60, 12, 7, 0], [0, 8, 4, 88, 192, 96, 504, 96, 192, 88, 4, 8, 0], [0, 8, 4, 88, 193, 88, 532, 40, 262, 32, 32, 0, 1], [0, 8, 4, 89, 185, 116, 476, 110, 206, 60, 24, 1, 1], [0, 8, 4, 90, 177, 144, 420, 180, 150, 88, 16, 2, 1], [0, 8, 4, 91, 169, 172, 364, 250, 94, 116, 8, 3, 1], [0, 8, 4, 92, 161, 200, 308, 320, 38, 144, 0, 4, 1], [0, 8, 5, 80, 220, 40, 574, 40, 220, 80, 5, 8, 0], [0, 8, 5, 81, 213, 60, 546, 54, 234, 52, 25, 1, 1], [0, 8, 5, 82, 205, 88, 490, 124, 178, 80, 17, 2, 1], [0, 8, 5, 83, 197, 116, 434, 194, 122, 108, 9, 3, 1], [0, 8, 5, 84, 189, 144, 378, 264, 66, 136, 1, 4, 1], [0, 8, 6, 74, 233, 32, 560, 68, 206, 72, 18, 2, 1], [0, 8, 6, 75, 225, 60, 504, 138, 150, 100, 10, 3, 1], [0, 8, 6, 76, 217, 88, 448, 208, 94, 128, 2, 4, 1], [0, 8, 7, 67, 253, 4, 574, 82, 178, 92, 11, 3, 1], [0, 8, 7, 68, 245, 32, 518, 152, 122, 120, 3, 4, 1], [0, 8, 9, 56, 270, 24, 462, 264, 24, 160, 1, 0, 2], [0, 9, 0, 87, 225, 18, 588, 54, 198, 85, 12, 3, 1], [0, 9, 0, 88, 217, 46, 532, 124, 142, 113, 4, 4, 1], [0, 9, 1, 84, 214, 94, 406, 292, 16, 161, 1, 0, 2], [0, 9, 2, 76, 242, 38, 476, 236, 44, 153, 2, 0, 2]}
-------
(12, 1280, 7) ALL distance distributions for EXTERNAL point
(7, 1280, 7) has 0 possible DDs: {}
(8, 1280, 7) has 1 possible DDs: {[0, 80, 0, 560, 0, 560, 0, 80, 0]}
(9, 1280, 7) has 6 possible DDs: {[0, 40, 40, 280, 280, 280, 280, 40, 40, 0], [0, 41, 32, 308, 224, 350, 224, 68, 32, 1], [0, 42, 24, 336, 168, 420, 168, 96, 24, 2], [0, 43, 16, 364, 112, 490, 112, 124, 16, 3], [0, 44, 8, 392, 56, 560, 56, 152, 8, 4], [0, 45, 0, 420, 0, 630, 0, 180, 0, 5]}
(10, 1280, 7) has 28 possible DDs: {[0, 16, 72, 48, 504, 0, 504, 48, 72, 16, 0], [0, 17, 64, 76, 448, 70, 448, 76, 64, 17, 0], [0, 17, 65, 68, 476, 14, 518, 20, 92, 9, 1], [0, 18, 56, 104, 392, 140, 392, 104, 56, 18, 0], [0, 18, 57, 96, 420, 84, 462, 48, 84, 10, 1], [0, 19, 48, 132, 336, 210, 336, 132, 48, 19, 0], [0, 19, 49, 124, 364, 154, 406, 76, 76, 11, 1], [0, 19, 50, 116, 392, 98, 476, 20, 104, 3, 2], [0, 20, 40, 160, 280, 280, 280, 160, 40, 20, 0], [0, 20, 41, 152, 308, 224, 350, 104, 68, 12, 1], [0, 20, 42, 144, 336, 168, 420, 48, 96, 4, 2], [0, 21, 32, 188, 224, 350, 224, 188, 32, 21, 0], [0, 21, 33, 180, 252, 294, 294, 132, 60, 13, 1], [0, 21, 34, 172, 280, 238, 364, 76, 88, 5, 2], [0, 22, 24, 216, 168, 420, 168, 216, 24, 22, 0], [0, 22, 25, 208, 196, 364, 238, 160, 52, 14, 1], [0, 22, 26, 200, 224, 308, 308, 104, 80, 6, 2], [0, 23, 16, 244, 112, 490, 112, 244, 16, 23, 0], [0, 23, 17, 236, 140, 434, 182, 188, 44, 15, 1], [0, 23, 18, 228, 168, 378, 252, 132, 72, 7, 2], [0, 24, 8, 272, 56, 560, 56, 272, 8, 24, 0], [0, 24, 9, 264, 84, 504, 126, 216, 36, 16, 1], [0, 24, 10, 256, 112, 448, 196, 160, 64, 8, 2], [0, 24, 11, 248, 140, 392, 266, 104, 92, 0, 3], [0, 25, 0, 300, 0, 630, 0, 300, 0, 25, 0], [0, 25, 1, 292, 28, 574, 70, 244, 28, 17, 1], [0, 25, 2, 284, 56, 518, 140, 188, 56, 9, 2], [0, 25, 3, 276, 84, 462, 210, 132, 84, 1, 3]}
(11, 1280, 7) has 115 possible DDs: {[0, 5, 65, 0, 360, 210, 210, 360, 0, 65, 5, 0], [0, 6, 58, 20, 332, 224, 224, 332, 20, 58, 6, 0], [0, 6, 59, 12, 360, 168, 294, 276, 48, 50, 7, 0], [0, 6, 60, 4, 388, 112, 364, 220, 76, 42, 8, 0], [0, 6, 60, 5, 380, 140, 308, 290, 20, 70, 0, 1], [0, 7, 50, 48, 276, 294, 168, 360, 12, 59, 6, 0], [0, 7, 51, 40, 304, 238, 238, 304, 40, 51, 7, 0], [0, 7, 52, 32, 332, 182, 308, 248, 68, 43, 8, 0], [0, 7, 52, 33, 324, 210, 252, 318, 12, 71, 0, 1], [0, 7, 53, 24, 360, 126, 378, 192, 96, 35, 9, 0], [0, 7, 53, 25, 352, 154, 322, 262, 40, 63, 1, 1], [0, 7, 54, 16, 388, 70, 448, 136, 124, 27, 10, 0], [0, 7, 54, 17, 380, 98, 392, 206, 68, 55, 2, 1], [0, 7, 55, 8, 416, 14, 518, 80, 152, 19, 11, 0], [0, 7, 55, 9, 408, 42, 462, 150, 96, 47, 3, 1], [0, 8, 42, 76, 220, 364, 112, 388, 4, 60, 6, 0], [0, 8, 43, 68, 248, 308, 182, 332, 32, 52, 7, 0], [0, 8, 44, 60, 276, 252, 252, 276, 60, 44, 8, 0], [0, 8, 44, 61, 268, 280, 196, 346, 4, 72, 0, 1], [0, 8, 45, 52, 304, 196, 322, 220, 88, 36, 9, 0], [0, 8, 45, 53, 296, 224, 266, 290, 32, 64, 1, 1], [0, 8, 46, 44, 332, 140, 392, 164, 116, 28, 10, 0], [0, 8, 46, 45, 324, 168, 336, 234, 60, 56, 2, 1], [0, 8, 47, 36, 360, 84, 462, 108, 144, 20, 11, 0], [0, 8, 47, 37, 352, 112, 406, 178, 88, 48, 3, 1], [0, 8, 48, 28, 388, 28, 532, 52, 172, 12, 12, 0], [0, 8, 48, 29, 380, 56, 476, 122, 116, 40, 4, 1], [0, 8, 49, 21, 408, 0, 546, 66, 144, 32, 5, 1], [0, 9, 35, 96, 192, 378, 126, 360, 24, 53, 7, 0], [0, 9, 36, 88, 220, 322, 196, 304, 52, 45, 8, 0], [0, 9, 37, 80, 248, 266, 266, 248, 80, 37, 9, 0], [0, 9, 37, 81, 240, 294, 210, 318, 24, 65, 1, 1], [0, 9, 38, 72, 276, 210, 336, 192, 108, 29, 10, 0], [0, 9, 38, 73, 268, 238, 280, 262, 52, 57, 2, 1], [0, 9, 39, 64, 304, 154, 406, 136, 136, 21, 11, 0], [0, 9, 39, 65, 296, 182, 350, 206, 80, 49, 3, 1], [0, 9, 40, 56, 332, 98, 476, 80, 164, 13, 12, 0], [0, 9, 40, 57, 324, 126, 420, 150, 108, 41, 4, 1], [0, 9, 41, 48, 360, 42, 546, 24, 192, 5, 13, 0], [0, 9, 41, 49, 352, 70, 490, 94, 136, 33, 5, 1], [0, 9, 42, 41, 380, 14, 560, 38, 164, 25, 6, 1], [0, 10, 27, 124, 136, 448, 70, 388, 16, 54, 7, 0], [0, 10, 28, 116, 164, 392, 140, 332, 44, 46, 8, 0], [0, 10, 29, 108, 192, 336, 210, 276, 72, 38, 9, 0], [0, 10, 29, 109, 184, 364, 154, 346, 16, 66, 1, 1], [0, 10, 30, 100, 220, 280, 280, 220, 100, 30, 10, 0], [0, 10, 30, 101, 212, 308, 224, 290, 44, 58, 2, 1], [0, 10, 31, 92, 248, 224, 350, 164, 128, 22, 11, 0], [0, 10, 31, 93, 240, 252, 294, 234, 72, 50, 3, 1], [0, 10, 32, 84, 276, 168, 420, 108, 156, 14, 12, 0], [0, 10, 32, 85, 268, 196, 364, 178, 100, 42, 4, 1], [0, 10, 33, 76, 304, 112, 490, 52, 184, 6, 13, 0], [0, 10, 33, 77, 296, 140, 434, 122, 128, 34, 5, 1], [0, 10, 34, 69, 324, 84, 504, 66, 156, 26, 6, 1], [0, 10, 35, 61, 352, 28, 574, 10, 184, 18, 7, 1], [0, 10, 36, 54, 372, 0, 588, 24, 156, 38, 0, 2], [0, 11, 19, 152, 80, 518, 14, 416, 8, 55, 7, 0], [0, 11, 20, 144, 108, 462, 84, 360, 36, 47, 8, 0], [0, 11, 21, 136, 136, 406, 154, 304, 64, 39, 9, 0], [0, 11, 21, 137, 128, 434, 98, 374, 8, 67, 1, 1], [0, 11, 22, 128, 164, 350, 224, 248, 92, 31, 10, 0], [0, 11, 22, 129, 156, 378, 168, 318, 36, 59, 2, 1], [0, 11, 23, 120, 192, 294, 294, 192, 120, 23, 11, 0], [0, 11, 23, 121, 184, 322, 238, 262, 64, 51, 3, 1], [0, 11, 24, 112, 220, 238, 364, 136, 148, 15, 12, 0], [0, 11, 24, 113, 212, 266, 308, 206, 92, 43, 4, 1], [0, 11, 25, 104, 248, 182, 434, 80, 176, 7, 13, 0], [0, 11, 25, 105, 240, 210, 378, 150, 120, 35, 5, 1], [0, 11, 26, 97, 268, 154, 448, 94, 148, 27, 6, 1], [0, 11, 27, 89, 296, 98, 518, 38, 176, 19, 7, 1], [0, 11, 28, 82, 316, 70, 532, 52, 148, 39, 0, 2], [0, 12, 12, 172, 52, 532, 28, 388, 28, 48, 8, 0], [0, 12, 13, 164, 80, 476, 98, 332, 56, 40, 9, 0], [0, 12, 13, 165, 72, 504, 42, 402, 0, 68, 1, 1], [0, 12, 14, 156, 108, 420, 168, 276, 84, 32, 10, 0], [0, 12, 14, 157, 100, 448, 112, 346, 28, 60, 2, 1], [0, 12, 15, 148, 136, 364, 238, 220, 112, 24, 11, 0], [0, 12, 15, 149, 128, 392, 182, 290, 56, 52, 3, 1], [0, 12, 16, 140, 164, 308, 308, 164, 140, 16, 12, 0], [0, 12, 16, 141, 156, 336, 252, 234, 84, 44, 4, 1], [0, 12, 17, 132, 192, 252, 378, 108, 168, 8, 13, 0], [0, 12, 17, 133, 184, 280, 322, 178, 112, 36, 5, 1], [0, 12, 18, 124, 220, 196, 448, 52, 196, 0, 14, 0], [0, 12, 18, 125, 212, 224, 392, 122, 140, 28, 6, 1], [0, 12, 19, 117, 240, 168, 462, 66, 168, 20, 7, 1], [0, 12, 20, 109, 268, 112, 532, 10, 196, 12, 8, 1], [0, 12, 20, 110, 260, 140, 476, 80, 140, 40, 0, 2], [0, 12, 21, 102, 288, 84, 546, 24, 168, 32, 1, 2], [0, 13, 5, 192, 24, 546, 42, 360, 48, 41, 9, 0], [0, 13, 6, 184, 52, 490, 112, 304, 76, 33, 10, 0], [0, 13, 6, 185, 44, 518, 56, 374, 20, 61, 2, 1], [0, 13, 7, 176, 80, 434, 182, 248, 104, 25, 11, 0], [0, 13, 7, 177, 72, 462, 126, 318, 48, 53, 3, 1], [0, 13, 8, 168, 108, 378, 252, 192, 132, 17, 12, 0], [0, 13, 8, 169, 100, 406, 196, 262, 76, 45, 4, 1], [0, 13, 9, 160, 136, 322, 322, 136, 160, 9, 13, 0], [0, 13, 9, 161, 128, 350, 266, 206, 104, 37, 5, 1], [0, 13, 10, 152, 164, 266, 392, 80, 188, 1, 14, 0], [0, 13, 10, 153, 156, 294, 336, 150, 132, 29, 6, 1], [0, 13, 11, 145, 184, 238, 406, 94, 160, 21, 7, 1], [0, 13, 12, 137, 212, 182, 476, 38, 188, 13, 8, 1], [0, 13, 12, 138, 204, 210, 420, 108, 132, 41, 0, 2], [0, 13, 13, 130, 232, 154, 490, 52, 160, 33, 1, 2], [0, 14, 0, 196, 52, 448, 196, 220, 124, 18, 12, 0], [0, 14, 0, 197, 44, 476, 140, 290, 68, 46, 4, 1], [0, 14, 1, 188, 80, 392, 266, 164, 152, 10, 13, 0], [0, 14, 1, 189, 72, 420, 210, 234, 96, 38, 5, 1], [0, 14, 2, 180, 108, 336, 336, 108, 180, 2, 14, 0], [0, 14, 2, 181, 100, 364, 280, 178, 124, 30, 6, 1], [0, 14, 3, 173, 128, 308, 350, 122, 152, 22, 7, 1], [0, 14, 4, 165, 156, 252, 420, 66, 180, 14, 8, 1], [0, 14, 4, 166, 148, 280, 364, 136, 124, 42, 0, 2], [0, 14, 5, 157, 184, 196, 490, 10, 208, 6, 9, 1], [0, 14, 5, 158, 176, 224, 434, 80, 152, 34, 1, 2], [0, 14, 6, 150, 204, 168, 504, 24, 180, 26, 2, 2]}
(12, 1280, 7) has 431 possible DDs: {[0, 0, 48, 16, 144, 432, 0, 432, 144, 16, 48, 0, 0], [0, 0, 49, 8, 172, 376, 70, 376, 172, 8, 49, 0, 0], [0, 0, 49, 9, 164, 404, 14, 446, 116, 36, 41, 1, 0], [0, 0, 50, 0, 200, 320, 140, 320, 200, 0, 50, 0, 0], [0, 0, 50, 1, 192, 348, 84, 390, 144, 28, 42, 1, 0], [0, 0, 50, 2, 184, 376, 28, 460, 88, 56, 34, 2, 0], [0, 1, 41, 36, 116, 446, 14, 404, 164, 9, 49, 0, 0], [0, 1, 42, 28, 144, 390, 84, 348, 192, 1, 50, 0, 0], [0, 1, 42, 29, 136, 418, 28, 418, 136, 29, 42, 1, 0], [0, 1, 43, 21, 164, 362, 98, 362, 164, 21, 43, 1, 0], [0, 1, 43, 22, 156, 390, 42, 432, 108, 49, 35, 2, 0], [0, 1, 44, 13, 192, 306, 168, 306, 192, 13, 44, 1, 0], [0, 1, 44, 14, 184, 334, 112, 376, 136, 41, 36, 2, 0], [0, 1, 44, 15, 176, 362, 56, 446, 80, 69, 28, 3, 0], [0, 1, 44, 16, 168, 390, 0, 516, 24, 97, 20, 4, 0], [0, 1, 45, 5, 220, 250, 238, 250, 220, 5, 45, 1, 0], [0, 1, 45, 6, 212, 278, 182, 320, 164, 33, 37, 2, 0], [0, 1, 45, 7, 204, 306, 126, 390, 108, 61, 29, 3, 0], [0, 1, 45, 8, 196, 334, 70, 460, 52, 89, 21, 4, 0], [0, 1, 46, 0, 224, 278, 140, 404, 80, 81, 22, 4, 0], [0, 1, 46, 1, 216, 306, 84, 474, 24, 109, 14, 5, 0], [0, 2, 34, 56, 88, 460, 28, 376, 184, 2, 50, 0, 0], [0, 2, 35, 49, 108, 432, 42, 390, 156, 22, 43, 1, 0], [0, 2, 36, 41, 136, 376, 112, 334, 184, 14, 44, 1, 0], [0, 2, 36, 42, 128, 404, 56, 404, 128, 42, 36, 2, 0], [0, 2, 36, 43, 120, 432, 0, 474, 72, 70, 28, 3, 0], [0, 2, 37, 33, 164, 320, 182, 278, 212, 6, 45, 1, 0], [0, 2, 37, 34, 156, 348, 126, 348, 156, 34, 37, 2, 0], [0, 2, 37, 35, 148, 376, 70, 418, 100, 62, 29, 3, 0], [0, 2, 37, 36, 140, 404, 14, 488, 44, 90, 21, 4, 0], [0, 2, 38, 26, 184, 292, 196, 292, 184, 26, 38, 2, 0], [0, 2, 38, 27, 176, 320, 140, 362, 128, 54, 30, 3, 0], [0, 2, 38, 28, 168, 348, 84, 432, 72, 82, 22, 4, 0], [0, 2, 38, 29, 160, 376, 28, 502, 16, 110, 14, 5, 0], [0, 2, 39, 18, 212, 236, 266, 236, 212, 18, 39, 2, 0], [0, 2, 39, 19, 204, 264, 210, 306, 156, 46, 31, 3, 0], [0, 2, 39, 20, 196, 292, 154, 376, 100, 74, 23, 4, 0], [0, 2, 39, 21, 188, 320, 98, 446, 44, 102, 15, 5, 0], [0, 2, 40, 10, 240, 180, 336, 180, 240, 10, 40, 2, 0], [0, 2, 40, 11, 232, 208, 280, 250, 184, 38, 32, 3, 0], [0, 2, 40, 12, 224, 236, 224, 320, 128, 66, 24, 4, 0], [0, 2, 40, 13, 216, 264, 168, 390, 72, 94, 16, 5, 0], [0, 2, 40, 14, 208, 292, 112, 460, 16, 122, 8, 6, 0], [0, 2, 41, 2, 268, 124, 406, 124, 268, 2, 41, 2, 0], [0, 2, 41, 3, 260, 152, 350, 194, 212, 30, 33, 3, 0], [0, 2, 41, 4, 252, 180, 294, 264, 156, 58, 25, 4, 0], [0, 2, 41, 5, 244, 208, 238, 334, 100, 86, 17, 5, 0], [0, 2, 41, 6, 236, 236, 182, 404, 44, 114, 9, 6, 0], [0, 2, 41, 8, 221, 284, 98, 488, 2, 114, 21, 0, 1], [0, 2, 42, 0, 249, 228, 168, 432, 30, 106, 22, 0, 1], [0, 3, 28, 69, 80, 446, 56, 362, 176, 15, 44, 1, 0], [0, 3, 28, 70, 72, 474, 0, 432, 120, 43, 36, 2, 0], [0, 3, 29, 61, 108, 390, 126, 306, 204, 7, 45, 1, 0], [0, 3, 29, 62, 100, 418, 70, 376, 148, 35, 37, 2, 0], [0, 3, 29, 63, 92, 446, 14, 446, 92, 63, 29, 3, 0], [0, 3, 30, 54, 128, 362, 140, 320, 176, 27, 38, 2, 0], [0, 3, 30, 55, 120, 390, 84, 390, 120, 55, 30, 3, 0], [0, 3, 30, 56, 112, 418, 28, 460, 64, 83, 22, 4, 0], [0, 3, 31, 46, 156, 306, 210, 264, 204, 19, 39, 2, 0], [0, 3, 31, 47, 148, 334, 154, 334, 148, 47, 31, 3, 0], [0, 3, 31, 48, 140, 362, 98, 404, 92, 75, 23, 4, 0], [0, 3, 31, 49, 132, 390, 42, 474, 36, 103, 15, 5, 0], [0, 3, 32, 38, 184, 250, 280, 208, 232, 11, 40, 2, 0], [0, 3, 32, 39, 176, 278, 224, 278, 176, 39, 32, 3, 0], [0, 3, 32, 40, 168, 306, 168, 348, 120, 67, 24, 4, 0], [0, 3, 32, 41, 160, 334, 112, 418, 64, 95, 16, 5, 0], [0, 3, 32, 42, 152, 362, 56, 488, 8, 123, 8, 6, 0], [0, 3, 33, 30, 212, 194, 350, 152, 260, 3, 41, 2, 0], [0, 3, 33, 31, 204, 222, 294, 222, 204, 31, 33, 3, 0], [0, 3, 33, 32, 196, 250, 238, 292, 148, 59, 25, 4, 0], [0, 3, 33, 33, 188, 278, 182, 362, 92, 87, 17, 5, 0], [0, 3, 33, 34, 180, 306, 126, 432, 36, 115, 9, 6, 0], [0, 3, 34, 23, 232, 166, 364, 166, 232, 23, 34, 3, 0], [0, 3, 34, 24, 224, 194, 308, 236, 176, 51, 26, 4, 0], [0, 3, 34, 25, 216, 222, 252, 306, 120, 79, 18, 5, 0], [0, 3, 34, 26, 208, 250, 196, 376, 64, 107, 10, 6, 0], [0, 3, 34, 27, 200, 278, 140, 446, 8, 135, 2, 7, 0], [0, 3, 34, 28, 193, 298, 112, 460, 22, 107, 22, 0, 1], [0, 3, 35, 15, 260, 110, 434, 110, 260, 15, 35, 3, 0], [0, 3, 35, 16, 252, 138, 378, 180, 204, 43, 27, 4, 0], [0, 3, 35, 17, 244, 166, 322, 250, 148, 71, 19, 5, 0], [0, 3, 35, 18, 236, 194, 266, 320, 92, 99, 11, 6, 0], [0, 3, 35, 19, 228, 222, 210, 390, 36, 127, 3, 7, 0], [0, 3, 35, 20, 221, 242, 182, 404, 50, 99, 23, 0, 1], [0, 3, 36, 7, 288, 54, 504, 54, 288, 7, 36, 3, 0], [0, 3, 36, 8, 280, 82, 448, 124, 232, 35, 28, 4, 0], [0, 3, 36, 9, 272, 110, 392, 194, 176, 63, 20, 5, 0], [0, 3, 36, 10, 264, 138, 336, 264, 120, 91, 12, 6, 0], [0, 3, 36, 11, 256, 166, 280, 334, 64, 119, 4, 7, 0], [0, 3, 36, 12, 249, 186, 252, 348, 78, 91, 24, 0, 1], [0, 3, 36, 13, 241, 214, 196, 418, 22, 119, 16, 1, 1], [0, 3, 37, 0, 308, 26, 518, 68, 260, 27, 29, 4, 0], [0, 3, 37, 1, 300, 54, 462, 138, 204, 55, 21, 5, 0], [0, 3, 37, 2, 292, 82, 406, 208, 148, 83, 13, 6, 0], [0, 3, 37, 3, 284, 110, 350, 278, 92, 111, 5, 7, 0], [0, 3, 37, 4, 277, 130, 322, 292, 106, 83, 25, 0, 1], [0, 3, 37, 5, 269, 158, 266, 362, 50, 111, 17, 1, 1], [0, 4, 20, 97, 24, 516, 0, 390, 168, 16, 44, 1, 0], [0, 4, 21, 89, 52, 460, 70, 334, 196, 8, 45, 1, 0], [0, 4, 21, 90, 44, 488, 14, 404, 140, 36, 37, 2, 0], [0, 4, 22, 81, 80, 404, 140, 278, 224, 0, 46, 1, 0], [0, 4, 22, 82, 72, 432, 84, 348, 168, 28, 38, 2, 0], [0, 4, 22, 83, 64, 460, 28, 418, 112, 56, 30, 3, 0], [0, 4, 23, 74, 100, 376, 154, 292, 196, 20, 39, 2, 0], [0, 4, 23, 75, 92, 404, 98, 362, 140, 48, 31, 3, 0], [0, 4, 23, 76, 84, 432, 42, 432, 84, 76, 23, 4, 0], [0, 4, 24, 66, 128, 320, 224, 236, 224, 12, 40, 2, 0], [0, 4, 24, 67, 120, 348, 168, 306, 168, 40, 32, 3, 0], [0, 4, 24, 68, 112, 376, 112, 376, 112, 68, 24, 4, 0], [0, 4, 24, 69, 104, 404, 56, 446, 56, 96, 16, 5, 0], [0, 4, 24, 70, 96, 432, 0, 516, 0, 124, 8, 6, 0], [0, 4, 25, 58, 156, 264, 294, 180, 252, 4, 41, 2, 0], [0, 4, 25, 59, 148, 292, 238, 250, 196, 32, 33, 3, 0], [0, 4, 25, 60, 140, 320, 182, 320, 140, 60, 25, 4, 0], [0, 4, 25, 61, 132, 348, 126, 390, 84, 88, 17, 5, 0], [0, 4, 25, 62, 124, 376, 70, 460, 28, 116, 9, 6, 0], [0, 4, 26, 51, 176, 236, 308, 194, 224, 24, 34, 3, 0], [0, 4, 26, 52, 168, 264, 252, 264, 168, 52, 26, 4, 0], [0, 4, 26, 53, 160, 292, 196, 334, 112, 80, 18, 5, 0], [0, 4, 26, 54, 152, 320, 140, 404, 56, 108, 10, 6, 0], [0, 4, 26, 55, 144, 348, 84, 474, 0, 136, 2, 7, 0], [0, 4, 26, 56, 137, 368, 56, 488, 14, 108, 22, 0, 1], [0, 4, 27, 43, 204, 180, 378, 138, 252, 16, 35, 3, 0], [0, 4, 27, 44, 196, 208, 322, 208, 196, 44, 27, 4, 0], [0, 4, 27, 45, 188, 236, 266, 278, 140, 72, 19, 5, 0], [0, 4, 27, 46, 180, 264, 210, 348, 84, 100, 11, 6, 0], [0, 4, 27, 47, 172, 292, 154, 418, 28, 128, 3, 7, 0], [0, 4, 27, 48, 165, 312, 126, 432, 42, 100, 23, 0, 1], [0, 4, 28, 35, 232, 124, 448, 82, 280, 8, 36, 3, 0], [0, 4, 28, 36, 224, 152, 392, 152, 224, 36, 28, 4, 0], [0, 4, 28, 37, 216, 180, 336, 222, 168, 64, 20, 5, 0], [0, 4, 28, 38, 208, 208, 280, 292, 112, 92, 12, 6, 0], [0, 4, 28, 39, 200, 236, 224, 362, 56, 120, 4, 7, 0], [0, 4, 28, 40, 193, 256, 196, 376, 70, 92, 24, 0, 1], [0, 4, 28, 41, 185, 284, 140, 446, 14, 120, 16, 1, 1], [0, 4, 29, 27, 260, 68, 518, 26, 308, 0, 37, 3, 0], [0, 4, 29, 28, 252, 96, 462, 96, 252, 28, 29, 4, 0], [0, 4, 29, 29, 244, 124, 406, 166, 196, 56, 21, 5, 0], [0, 4, 29, 30, 236, 152, 350, 236, 140, 84, 13, 6, 0], [0, 4, 29, 31, 228, 180, 294, 306, 84, 112, 5, 7, 0], [0, 4, 29, 32, 221, 200, 266, 320, 98, 84, 25, 0, 1], [0, 4, 29, 33, 213, 228, 210, 390, 42, 112, 17, 1, 1], [0, 4, 30, 20, 280, 40, 532, 40, 280, 20, 30, 4, 0], [0, 4, 30, 21, 272, 68, 476, 110, 224, 48, 22, 5, 0], [0, 4, 30, 22, 264, 96, 420, 180, 168, 76, 14, 6, 0], [0, 4, 30, 23, 256, 124, 364, 250, 112, 104, 6, 7, 0], [0, 4, 30, 24, 249, 144, 336, 264, 126, 76, 26, 0, 1], [0, 4, 30, 25, 241, 172, 280, 334, 70, 104, 18, 1, 1], [0, 4, 30, 26, 233, 200, 224, 404, 14, 132, 10, 2, 1], [0, 4, 31, 13, 300, 12, 546, 54, 252, 40, 23, 5, 0], [0, 4, 31, 14, 292, 40, 490, 124, 196, 68, 15, 6, 0], [0, 4, 31, 15, 284, 68, 434, 194, 140, 96, 7, 7, 0], [0, 4, 31, 16, 277, 88, 406, 208, 154, 68, 27, 0, 1], [0, 4, 31, 17, 269, 116, 350, 278, 98, 96, 19, 1, 1], [0, 4, 31, 18, 261, 144, 294, 348, 42, 124, 11, 2, 1], [0, 4, 32, 7, 312, 12, 504, 138, 168, 88, 8, 7, 0], [0, 4, 32, 8, 304, 40, 448, 208, 112, 116, 0, 8, 0], [0, 4, 32, 8, 305, 32, 476, 152, 182, 60, 28, 0, 1], [0, 4, 32, 9, 297, 60, 420, 222, 126, 88, 20, 1, 1], [0, 4, 32, 10, 289, 88, 364, 292, 70, 116, 12, 2, 1], [0, 4, 32, 11, 281, 116, 308, 362, 14, 144, 4, 3, 1], [0, 4, 33, 1, 325, 4, 490, 166, 154, 80, 21, 1, 1], [0, 4, 33, 2, 317, 32, 434, 236, 98, 108, 13, 2, 1], [0, 4, 33, 3, 309, 60, 378, 306, 42, 136, 5, 3, 1], [0, 5, 14, 109, 24, 474, 84, 306, 216, 1, 46, 1, 0], [0, 5, 14, 110, 16, 502, 28, 376, 160, 29, 38, 2, 0], [0, 5, 15, 102, 44, 446, 98, 320, 188, 21, 39, 2, 0], [0, 5, 15, 103, 36, 474, 42, 390, 132, 49, 31, 3, 0], [0, 5, 16, 94, 72, 390, 168, 264, 216, 13, 40, 2, 0], [0, 5, 16, 95, 64, 418, 112, 334, 160, 41, 32, 3, 0], [0, 5, 16, 96, 56, 446, 56, 404, 104, 69, 24, 4, 0], [0, 5, 16, 97, 48, 474, 0, 474, 48, 97, 16, 5, 0], [0, 5, 17, 86, 100, 334, 238, 208, 244, 5, 41, 2, 0], [0, 5, 17, 87, 92, 362, 182, 278, 188, 33, 33, 3, 0], [0, 5, 17, 88, 84, 390, 126, 348, 132, 61, 25, 4, 0], [0, 5, 17, 89, 76, 418, 70, 418, 76, 89, 17, 5, 0], [0, 5, 17, 90, 68, 446, 14, 488, 20, 117, 9, 6, 0], [0, 5, 18, 79, 120, 306, 252, 222, 216, 25, 34, 3, 0], [0, 5, 18, 80, 112, 334, 196, 292, 160, 53, 26, 4, 0], [0, 5, 18, 81, 104, 362, 140, 362, 104, 81, 18, 5, 0], [0, 5, 18, 82, 96, 390, 84, 432, 48, 109, 10, 6, 0], [0, 5, 18, 84, 81, 438, 0, 516, 6, 109, 22, 0, 1], [0, 5, 19, 71, 148, 250, 322, 166, 244, 17, 35, 3, 0], [0, 5, 19, 72, 140, 278, 266, 236, 188, 45, 27, 4, 0], [0, 5, 19, 73, 132, 306, 210, 306, 132, 73, 19, 5, 0], [0, 5, 19, 74, 124, 334, 154, 376, 76, 101, 11, 6, 0], [0, 5, 19, 75, 116, 362, 98, 446, 20, 129, 3, 7, 0], [0, 5, 19, 76, 109, 382, 70, 460, 34, 101, 23, 0, 1], [0, 5, 20, 63, 176, 194, 392, 110, 272, 9, 36, 3, 0], [0, 5, 20, 64, 168, 222, 336, 180, 216, 37, 28, 4, 0], [0, 5, 20, 65, 160, 250, 280, 250, 160, 65, 20, 5, 0], [0, 5, 20, 66, 152, 278, 224, 320, 104, 93, 12, 6, 0], [0, 5, 20, 67, 144, 306, 168, 390, 48, 121, 4, 7, 0], [0, 5, 20, 68, 137, 326, 140, 404, 62, 93, 24, 0, 1], [0, 5, 20, 69, 129, 354, 84, 474, 6, 121, 16, 1, 1], [0, 5, 21, 55, 204, 138, 462, 54, 300, 1, 37, 3, 0], [0, 5, 21, 56, 196, 166, 406, 124, 244, 29, 29, 4, 0], [0, 5, 21, 57, 188, 194, 350, 194, 188, 57, 21, 5, 0], [0, 5, 21, 58, 180, 222, 294, 264, 132, 85, 13, 6, 0], [0, 5, 21, 59, 172, 250, 238, 334, 76, 113, 5, 7, 0], [0, 5, 21, 60, 165, 270, 210, 348, 90, 85, 25, 0, 1], [0, 5, 21, 61, 157, 298, 154, 418, 34, 113, 17, 1, 1], [0, 5, 22, 48, 224, 110, 476, 68, 272, 21, 30, 4, 0], [0, 5, 22, 49, 216, 138, 420, 138, 216, 49, 22, 5, 0], [0, 5, 22, 50, 208, 166, 364, 208, 160, 77, 14, 6, 0], [0, 5, 22, 51, 200, 194, 308, 278, 104, 105, 6, 7, 0], [0, 5, 22, 52, 193, 214, 280, 292, 118, 77, 26, 0, 1], [0, 5, 22, 53, 185, 242, 224, 362, 62, 105, 18, 1, 1], [0, 5, 22, 54, 177, 270, 168, 432, 6, 133, 10, 2, 1], [0, 5, 23, 40, 252, 54, 546, 12, 300, 13, 31, 4, 0], [0, 5, 23, 41, 244, 82, 490, 82, 244, 41, 23, 5, 0], [0, 5, 23, 42, 236, 110, 434, 152, 188, 69, 15, 6, 0], [0, 5, 23, 43, 228, 138, 378, 222, 132, 97, 7, 7, 0], [0, 5, 23, 44, 221, 158, 350, 236, 146, 69, 27, 0, 1], [0, 5, 23, 45, 213, 186, 294, 306, 90, 97, 19, 1, 1], [0, 5, 23, 46, 205, 214, 238, 376, 34, 125, 11, 2, 1], [0, 5, 24, 33, 272, 26, 560, 26, 272, 33, 24, 5, 0], [0, 5, 24, 34, 264, 54, 504, 96, 216, 61, 16, 6, 0], [0, 5, 24, 35, 256, 82, 448, 166, 160, 89, 8, 7, 0], [0, 5, 24, 36, 248, 110, 392, 236, 104, 117, 0, 8, 0], [0, 5, 24, 36, 249, 102, 420, 180, 174, 61, 28, 0, 1], [0, 5, 24, 37, 241, 130, 364, 250, 118, 89, 20, 1, 1], [0, 5, 24, 38, 233, 158, 308, 320, 62, 117, 12, 2, 1], [0, 5, 24, 39, 225, 186, 252, 390, 6, 145, 4, 3, 1], [0, 5, 25, 27, 284, 26, 518, 110, 188, 81, 9, 7, 0], [0, 5, 25, 28, 276, 54, 462, 180, 132, 109, 1, 8, 0], [0, 5, 25, 28, 277, 46, 490, 124, 202, 53, 29, 0, 1], [0, 5, 25, 29, 269, 74, 434, 194, 146, 81, 21, 1, 1], [0, 5, 25, 30, 261, 102, 378, 264, 90, 109, 13, 2, 1], [0, 5, 25, 31, 253, 130, 322, 334, 34, 137, 5, 3, 1], [0, 5, 26, 21, 297, 18, 504, 138, 174, 73, 22, 1, 1], [0, 5, 26, 22, 289, 46, 448, 208, 118, 101, 14, 2, 1], [0, 5, 26, 23, 281, 74, 392, 278, 62, 129, 6, 3, 1], [0, 5, 27, 15, 309, 18, 462, 222, 90, 121, 7, 3, 1], [0, 6, 8, 122, 16, 460, 112, 292, 208, 14, 40, 2, 0], [0, 6, 8, 123, 8, 488, 56, 362, 152, 42, 32, 3, 0], [0, 6, 8, 124, 0, 516, 0, 432, 96, 70, 24, 4, 0], [0, 6, 9, 114, 44, 404, 182, 236, 236, 6, 41, 2, 0], [0, 6, 9, 115, 36, 432, 126, 306, 180, 34, 33, 3, 0], [0, 6, 9, 116, 28, 460, 70, 376, 124, 62, 25, 4, 0], [0, 6, 9, 117, 20, 488, 14, 446, 68, 90, 17, 5, 0], [0, 6, 10, 107, 64, 376, 196, 250, 208, 26, 34, 3, 0], [0, 6, 10, 108, 56, 404, 140, 320, 152, 54, 26, 4, 0], [0, 6, 10, 109, 48, 432, 84, 390, 96, 82, 18, 5, 0], [0, 6, 10, 110, 40, 460, 28, 460, 40, 110, 10, 6, 0], [0, 6, 11, 99, 92, 320, 266, 194, 236, 18, 35, 3, 0], [0, 6, 11, 100, 84, 348, 210, 264, 180, 46, 27, 4, 0], [0, 6, 11, 101, 76, 376, 154, 334, 124, 74, 19, 5, 0], [0, 6, 11, 102, 68, 404, 98, 404, 68, 102, 11, 6, 0], [0, 6, 11, 103, 60, 432, 42, 474, 12, 130, 3, 7, 0], [0, 6, 11, 104, 53, 452, 14, 488, 26, 102, 23, 0, 1], [0, 6, 12, 91, 120, 264, 336, 138, 264, 10, 36, 3, 0], [0, 6, 12, 92, 112, 292, 280, 208, 208, 38, 28, 4, 0], [0, 6, 12, 93, 104, 320, 224, 278, 152, 66, 20, 5, 0], [0, 6, 12, 94, 96, 348, 168, 348, 96, 94, 12, 6, 0], [0, 6, 12, 95, 88, 376, 112, 418, 40, 122, 4, 7, 0], [0, 6, 12, 96, 81, 396, 84, 432, 54, 94, 24, 0, 1], [0, 6, 13, 83, 148, 208, 406, 82, 292, 2, 37, 3, 0], [0, 6, 13, 84, 140, 236, 350, 152, 236, 30, 29, 4, 0], [0, 6, 13, 85, 132, 264, 294, 222, 180, 58, 21, 5, 0], [0, 6, 13, 86, 124, 292, 238, 292, 124, 86, 13, 6, 0], [0, 6, 13, 87, 116, 320, 182, 362, 68, 114, 5, 7, 0], [0, 6, 13, 88, 109, 340, 154, 376, 82, 86, 25, 0, 1], [0, 6, 13, 89, 101, 368, 98, 446, 26, 114, 17, 1, 1], [0, 6, 14, 76, 168, 180, 420, 96, 264, 22, 30, 4, 0], [0, 6, 14, 77, 160, 208, 364, 166, 208, 50, 22, 5, 0], [0, 6, 14, 78, 152, 236, 308, 236, 152, 78, 14, 6, 0], [0, 6, 14, 79, 144, 264, 252, 306, 96, 106, 6, 7, 0], [0, 6, 14, 80, 137, 284, 224, 320, 110, 78, 26, 0, 1], [0, 6, 14, 81, 129, 312, 168, 390, 54, 106, 18, 1, 1], [0, 6, 15, 68, 196, 124, 490, 40, 292, 14, 31, 4, 0], [0, 6, 15, 69, 188, 152, 434, 110, 236, 42, 23, 5, 0], [0, 6, 15, 70, 180, 180, 378, 180, 180, 70, 15, 6, 0], [0, 6, 15, 71, 172, 208, 322, 250, 124, 98, 7, 7, 0], [0, 6, 15, 72, 165, 228, 294, 264, 138, 70, 27, 0, 1], [0, 6, 15, 73, 157, 256, 238, 334, 82, 98, 19, 1, 1], [0, 6, 15, 74, 149, 284, 182, 404, 26, 126, 11, 2, 1], [0, 6, 16, 61, 216, 96, 504, 54, 264, 34, 24, 5, 0], [0, 6, 16, 62, 208, 124, 448, 124, 208, 62, 16, 6, 0], [0, 6, 16, 63, 200, 152, 392, 194, 152, 90, 8, 7, 0], [0, 6, 16, 64, 192, 180, 336, 264, 96, 118, 0, 8, 0], [0, 6, 16, 64, 193, 172, 364, 208, 166, 62, 28, 0, 1], [0, 6, 16, 65, 185, 200, 308, 278, 110, 90, 20, 1, 1], [0, 6, 16, 66, 177, 228, 252, 348, 54, 118, 12, 2, 1], [0, 6, 17, 54, 236, 68, 518, 68, 236, 54, 17, 6, 0], [0, 6, 17, 55, 228, 96, 462, 138, 180, 82, 9, 7, 0], [0, 6, 17, 56, 220, 124, 406, 208, 124, 110, 1, 8, 0], [0, 6, 17, 56, 221, 116, 434, 152, 194, 54, 29, 0, 1], [0, 6, 17, 57, 213, 144, 378, 222, 138, 82, 21, 1, 1], [0, 6, 17, 58, 205, 172, 322, 292, 82, 110, 13, 2, 1], [0, 6, 17, 59, 197, 200, 266, 362, 26, 138, 5, 3, 1], [0, 6, 18, 46, 264, 12, 588, 12, 264, 46, 18, 6, 0], [0, 6, 18, 47, 256, 40, 532, 82, 208, 74, 10, 7, 0], [0, 6, 18, 48, 248, 68, 476, 152, 152, 102, 2, 8, 0], [0, 6, 18, 48, 249, 60, 504, 96, 222, 46, 30, 0, 1], [0, 6, 18, 49, 241, 88, 448, 166, 166, 74, 22, 1, 1], [0, 6, 18, 50, 233, 116, 392, 236, 110, 102, 14, 2, 1], [0, 6, 18, 51, 225, 144, 336, 306, 54, 130, 6, 3, 1], [0, 6, 19, 40, 276, 12, 546, 96, 180, 94, 3, 8, 0], [0, 6, 19, 40, 277, 4, 574, 40, 250, 38, 31, 0, 1], [0, 6, 19, 41, 269, 32, 518, 110, 194, 66, 23, 1, 1], [0, 6, 19, 42, 261, 60, 462, 180, 138, 94, 15, 2, 1], [0, 6, 19, 43, 253, 88, 406, 250, 82, 122, 7, 3, 1], [0, 6, 20, 34, 289, 4, 532, 124, 166, 86, 16, 2, 1], [0, 6, 20, 35, 281, 32, 476, 194, 110, 114, 8, 3, 1], [0, 6, 20, 36, 273, 60, 420, 264, 54, 142, 0, 4, 1], [0, 6, 21, 28, 301, 4, 490, 208, 82, 134, 1, 4, 1], [0, 7, 2, 135, 8, 446, 140, 278, 200, 27, 34, 3, 0], [0, 7, 2, 136, 0, 474, 84, 348, 144, 55, 26, 4, 0], [0, 7, 3, 127, 36, 390, 210, 222, 228, 19, 35, 3, 0], [0, 7, 3, 128, 28, 418, 154, 292, 172, 47, 27, 4, 0], [0, 7, 3, 129, 20, 446, 98, 362, 116, 75, 19, 5, 0], [0, 7, 3, 130, 12, 474, 42, 432, 60, 103, 11, 6, 0], [0, 7, 4, 119, 64, 334, 280, 166, 256, 11, 36, 3, 0], [0, 7, 4, 120, 56, 362, 224, 236, 200, 39, 28, 4, 0], [0, 7, 4, 121, 48, 390, 168, 306, 144, 67, 20, 5, 0], [0, 7, 4, 122, 40, 418, 112, 376, 88, 95, 12, 6, 0], [0, 7, 4, 123, 32, 446, 56, 446, 32, 123, 4, 7, 0], [0, 7, 4, 124, 25, 466, 28, 460, 46, 95, 24, 0, 1], [0, 7, 5, 111, 92, 278, 350, 110, 284, 3, 37, 3, 0], [0, 7, 5, 112, 84, 306, 294, 180, 228, 31, 29, 4, 0], [0, 7, 5, 113, 76, 334, 238, 250, 172, 59, 21, 5, 0], [0, 7, 5, 114, 68, 362, 182, 320, 116, 87, 13, 6, 0], [0, 7, 5, 115, 60, 390, 126, 390, 60, 115, 5, 7, 0], [0, 7, 5, 116, 53, 410, 98, 404, 74, 87, 25, 0, 1], [0, 7, 5, 117, 45, 438, 42, 474, 18, 115, 17, 1, 1], [0, 7, 6, 104, 112, 250, 364, 124, 256, 23, 30, 4, 0], [0, 7, 6, 105, 104, 278, 308, 194, 200, 51, 22, 5, 0], [0, 7, 6, 106, 96, 306, 252, 264, 144, 79, 14, 6, 0], [0, 7, 6, 107, 88, 334, 196, 334, 88, 107, 6, 7, 0], [0, 7, 6, 108, 81, 354, 168, 348, 102, 79, 26, 0, 1], [0, 7, 6, 109, 73, 382, 112, 418, 46, 107, 18, 1, 1], [0, 7, 7, 96, 140, 194, 434, 68, 284, 15, 31, 4, 0], [0, 7, 7, 97, 132, 222, 378, 138, 228, 43, 23, 5, 0], [0, 7, 7, 98, 124, 250, 322, 208, 172, 71, 15, 6, 0], [0, 7, 7, 99, 116, 278, 266, 278, 116, 99, 7, 7, 0], [0, 7, 7, 100, 109, 298, 238, 292, 130, 71, 27, 0, 1], [0, 7, 7, 101, 101, 326, 182, 362, 74, 99, 19, 1, 1], [0, 7, 7, 102, 93, 354, 126, 432, 18, 127, 11, 2, 1], [0, 7, 8, 88, 168, 138, 504, 12, 312, 7, 32, 4, 0], [0, 7, 8, 89, 160, 166, 448, 82, 256, 35, 24, 5, 0], [0, 7, 8, 90, 152, 194, 392, 152, 200, 63, 16, 6, 0], [0, 7, 8, 91, 144, 222, 336, 222, 144, 91, 8, 7, 0], [0, 7, 8, 92, 136, 250, 280, 292, 88, 119, 0, 8, 0], [0, 7, 8, 92, 137, 242, 308, 236, 158, 63, 28, 0, 1], [0, 7, 8, 93, 129, 270, 252, 306, 102, 91, 20, 1, 1], [0, 7, 8, 94, 121, 298, 196, 376, 46, 119, 12, 2, 1], [0, 7, 9, 81, 188, 110, 518, 26, 284, 27, 25, 5, 0], [0, 7, 9, 82, 180, 138, 462, 96, 228, 55, 17, 6, 0], [0, 7, 9, 83, 172, 166, 406, 166, 172, 83, 9, 7, 0], [0, 7, 9, 84, 164, 194, 350, 236, 116, 111, 1, 8, 0], [0, 7, 9, 84, 165, 186, 378, 180, 186, 55, 29, 0, 1], [0, 7, 9, 85, 157, 214, 322, 250, 130, 83, 21, 1, 1], [0, 7, 9, 86, 149, 242, 266, 320, 74, 111, 13, 2, 1], [0, 7, 9, 87, 141, 270, 210, 390, 18, 139, 5, 3, 1], [0, 7, 10, 74, 208, 82, 532, 40, 256, 47, 18, 6, 0], [0, 7, 10, 75, 200, 110, 476, 110, 200, 75, 10, 7, 0], [0, 7, 10, 76, 192, 138, 420, 180, 144, 103, 2, 8, 0], [0, 7, 10, 76, 193, 130, 448, 124, 214, 47, 30, 0, 1], [0, 7, 10, 77, 185, 158, 392, 194, 158, 75, 22, 1, 1], [0, 7, 10, 78, 177, 186, 336, 264, 102, 103, 14, 2, 1], [0, 7, 10, 79, 169, 214, 280, 334, 46, 131, 6, 3, 1], [0, 7, 11, 67, 228, 54, 546, 54, 228, 67, 11, 7, 0], [0, 7, 11, 68, 220, 82, 490, 124, 172, 95, 3, 8, 0], [0, 7, 11, 68, 221, 74, 518, 68, 242, 39, 31, 0, 1], [0, 7, 11, 69, 213, 102, 462, 138, 186, 67, 23, 1, 1], [0, 7, 11, 70, 205, 130, 406, 208, 130, 95, 15, 2, 1], [0, 7, 11, 71, 197, 158, 350, 278, 74, 123, 7, 3, 1], [0, 7, 12, 60, 248, 26, 560, 68, 200, 87, 4, 8, 0], [0, 7, 12, 60, 249, 18, 588, 12, 270, 31, 32, 0, 1], [0, 7, 12, 61, 241, 46, 532, 82, 214, 59, 24, 1, 1], [0, 7, 12, 62, 233, 74, 476, 152, 158, 87, 16, 2, 1], [0, 7, 12, 63, 225, 102, 420, 222, 102, 115, 8, 3, 1], [0, 7, 12, 64, 217, 130, 364, 292, 46, 143, 0, 4, 1], [0, 7, 13, 54, 261, 18, 546, 96, 186, 79, 17, 2, 1], [0, 7, 13, 55, 253, 46, 490, 166, 130, 107, 9, 3, 1], [0, 7, 13, 56, 245, 74, 434, 236, 74, 135, 1, 4, 1], [0, 7, 14, 48, 273, 18, 504, 180, 102, 127, 2, 4, 1], [0, 7, 16, 36, 298, 10, 448, 292, 4, 167, 0, 0, 2], [0, 8, 0, 116, 112, 208, 448, 40, 304, 8, 32, 4, 0], [0, 8, 0, 117, 104, 236, 392, 110, 248, 36, 24, 5, 0], [0, 8, 0, 118, 96, 264, 336, 180, 192, 64, 16, 6, 0], [0, 8, 0, 119, 88, 292, 280, 250, 136, 92, 8, 7, 0], [0, 8, 0, 120, 80, 320, 224, 320, 80, 120, 0, 8, 0], [0, 8, 0, 120, 81, 312, 252, 264, 150, 64, 28, 0, 1], [0, 8, 0, 121, 73, 340, 196, 334, 94, 92, 20, 1, 1], [0, 8, 0, 122, 65, 368, 140, 404, 38, 120, 12, 2, 1], [0, 8, 1, 109, 132, 180, 462, 54, 276, 28, 25, 5, 0], [0, 8, 1, 110, 124, 208, 406, 124, 220, 56, 17, 6, 0], [0, 8, 1, 111, 116, 236, 350, 194, 164, 84, 9, 7, 0], [0, 8, 1, 112, 108, 264, 294, 264, 108, 112, 1, 8, 0], [0, 8, 1, 112, 109, 256, 322, 208, 178, 56, 29, 0, 1], [0, 8, 1, 113, 101, 284, 266, 278, 122, 84, 21, 1, 1], [0, 8, 1, 114, 93, 312, 210, 348, 66, 112, 13, 2, 1], [0, 8, 1, 115, 85, 340, 154, 418, 10, 140, 5, 3, 1], [0, 8, 2, 102, 152, 152, 476, 68, 248, 48, 18, 6, 0], [0, 8, 2, 103, 144, 180, 420, 138, 192, 76, 10, 7, 0], [0, 8, 2, 104, 136, 208, 364, 208, 136, 104, 2, 8, 0], [0, 8, 2, 104, 137, 200, 392, 152, 206, 48, 30, 0, 1], [0, 8, 2, 105, 129, 228, 336, 222, 150, 76, 22, 1, 1], [0, 8, 2, 106, 121, 256, 280, 292, 94, 104, 14, 2, 1], [0, 8, 2, 107, 113, 284, 224, 362, 38, 132, 6, 3, 1], [0, 8, 3, 94, 180, 96, 546, 12, 276, 40, 19, 6, 0], [0, 8, 3, 95, 172, 124, 490, 82, 220, 68, 11, 7, 0], [0, 8, 3, 96, 164, 152, 434, 152, 164, 96, 3, 8, 0], [0, 8, 3, 96, 165, 144, 462, 96, 234, 40, 31, 0, 1], [0, 8, 3, 97, 157, 172, 406, 166, 178, 68, 23, 1, 1], [0, 8, 3, 98, 149, 200, 350, 236, 122, 96, 15, 2, 1], [0, 8, 3, 99, 141, 228, 294, 306, 66, 124, 7, 3, 1], [0, 8, 4, 87, 200, 68, 560, 26, 248, 60, 12, 7, 0], [0, 8, 4, 88, 192, 96, 504, 96, 192, 88, 4, 8, 0], [0, 8, 4, 88, 193, 88, 532, 40, 262, 32, 32, 0, 1], [0, 8, 4, 89, 185, 116, 476, 110, 206, 60, 24, 1, 1], [0, 8, 4, 90, 177, 144, 420, 180, 150, 88, 16, 2, 1], [0, 8, 4, 91, 169, 172, 364, 250, 94, 116, 8, 3, 1], [0, 8, 4, 92, 161, 200, 308, 320, 38, 144, 0, 4, 1], [0, 8, 5, 80, 220, 40, 574, 40, 220, 80, 5, 8, 0], [0, 8, 5, 81, 213, 60, 546, 54, 234, 52, 25, 1, 1], [0, 8, 5, 82, 205, 88, 490, 124, 178, 80, 17, 2, 1], [0, 8, 5, 83, 197, 116, 434, 194, 122, 108, 9, 3, 1], [0, 8, 5, 84, 189, 144, 378, 264, 66, 136, 1, 4, 1], [0, 8, 6, 74, 233, 32, 560, 68, 206, 72, 18, 2, 1], [0, 8, 6, 75, 225, 60, 504, 138, 150, 100, 10, 3, 1], [0, 8, 6, 76, 217, 88, 448, 208, 94, 128, 2, 4, 1], [0, 8, 7, 67, 253, 4, 574, 82, 178, 92, 11, 3, 1], [0, 8, 7, 68, 245, 32, 518, 152, 122, 120, 3, 4, 1], [0, 8, 9, 56, 270, 24, 462, 264, 24, 160, 1, 0, 2], [0, 9, 0, 87, 225, 18, 588, 54, 198, 85, 12, 3, 1], [0, 9, 0, 88, 217, 46, 532, 124, 142, 113, 4, 4, 1], [0, 9, 1, 84, 214, 94, 406, 292, 16, 161, 1, 0, 2], [0, 9, 2, 76, 242, 38, 476, 236, 44, 153, 2, 0, 2]}