------- (12, 1664, 7) ALL distance distributions for EXTERNAL point (7, 1664, 7) has 0 possible DDs: {} (8, 1664, 7) has 1 possible DDs: {[0, 104, 0, 728, 0, 728, 0, 104, 0]} (9, 1664, 7) has 7 possible DDs: {[0, 52, 52, 364, 364, 364, 364, 52, 52, 0], [0, 53, 44, 392, 308, 434, 308, 80, 44, 1], [0, 54, 36, 420, 252, 504, 252, 108, 36, 2], [0, 55, 28, 448, 196, 574, 196, 136, 28, 3], [0, 56, 20, 476, 140, 644, 140, 164, 20, 4], [0, 57, 12, 504, 84, 714, 84, 192, 12, 5], [0, 58, 4, 532, 28, 784, 28, 220, 4, 6]} (10, 1664, 7) has 43 possible DDs: {[0, 21, 92, 68, 644, 14, 644, 68, 92, 21, 0], [0, 22, 84, 96, 588, 84, 588, 96, 84, 22, 0], [0, 22, 85, 88, 616, 28, 658, 40, 112, 14, 1], [0, 23, 76, 124, 532, 154, 532, 124, 76, 23, 0], [0, 23, 77, 116, 560, 98, 602, 68, 104, 15, 1], [0, 23, 78, 108, 588, 42, 672, 12, 132, 7, 2], [0, 24, 68, 152, 476, 224, 476, 152, 68, 24, 0], [0, 24, 69, 144, 504, 168, 546, 96, 96, 16, 1], [0, 24, 70, 136, 532, 112, 616, 40, 124, 8, 2], [0, 25, 60, 180, 420, 294, 420, 180, 60, 25, 0], [0, 25, 61, 172, 448, 238, 490, 124, 88, 17, 1], [0, 25, 62, 164, 476, 182, 560, 68, 116, 9, 2], [0, 25, 63, 156, 504, 126, 630, 12, 144, 1, 3], [0, 26, 52, 208, 364, 364, 364, 208, 52, 26, 0], [0, 26, 53, 200, 392, 308, 434, 152, 80, 18, 1], [0, 26, 54, 192, 420, 252, 504, 96, 108, 10, 2], [0, 26, 55, 184, 448, 196, 574, 40, 136, 2, 3], [0, 27, 44, 236, 308, 434, 308, 236, 44, 27, 0], [0, 27, 45, 228, 336, 378, 378, 180, 72, 19, 1], [0, 27, 46, 220, 364, 322, 448, 124, 100, 11, 2], [0, 27, 47, 212, 392, 266, 518, 68, 128, 3, 3], [0, 28, 36, 264, 252, 504, 252, 264, 36, 28, 0], [0, 28, 37, 256, 280, 448, 322, 208, 64, 20, 1], [0, 28, 38, 248, 308, 392, 392, 152, 92, 12, 2], [0, 28, 39, 240, 336, 336, 462, 96, 120, 4, 3], [0, 29, 28, 292, 196, 574, 196, 292, 28, 29, 0], [0, 29, 29, 284, 224, 518, 266, 236, 56, 21, 1], [0, 29, 30, 276, 252, 462, 336, 180, 84, 13, 2], [0, 29, 31, 268, 280, 406, 406, 124, 112, 5, 3], [0, 30, 20, 320, 140, 644, 140, 320, 20, 30, 0], [0, 30, 21, 312, 168, 588, 210, 264, 48, 22, 1], [0, 30, 22, 304, 196, 532, 280, 208, 76, 14, 2], [0, 30, 23, 296, 224, 476, 350, 152, 104, 6, 3], [0, 31, 12, 348, 84, 714, 84, 348, 12, 31, 0], [0, 31, 13, 340, 112, 658, 154, 292, 40, 23, 1], [0, 31, 14, 332, 140, 602, 224, 236, 68, 15, 2], [0, 31, 15, 324, 168, 546, 294, 180, 96, 7, 3], [0, 32, 4, 376, 28, 784, 28, 376, 4, 32, 0], [0, 32, 5, 368, 56, 728, 98, 320, 32, 24, 1], [0, 32, 6, 360, 84, 672, 168, 264, 60, 16, 2], [0, 32, 7, 352, 112, 616, 238, 208, 88, 8, 3], [0, 32, 8, 344, 140, 560, 308, 152, 116, 0, 4], [0, 33, 0, 372, 84, 630, 252, 180, 108, 1, 4]} (11, 1664, 7) has 229 possible DDs: {[0, 7, 81, 10, 454, 280, 280, 454, 10, 81, 7, 0], [0, 7, 82, 2, 482, 224, 350, 398, 38, 73, 8, 0], [0, 8, 73, 38, 398, 350, 224, 482, 2, 82, 7, 0], [0, 8, 74, 30, 426, 294, 294, 426, 30, 74, 8, 0], [0, 8, 75, 22, 454, 238, 364, 370, 58, 66, 9, 0], [0, 8, 75, 23, 446, 266, 308, 440, 2, 94, 1, 1], [0, 8, 76, 14, 482, 182, 434, 314, 86, 58, 10, 0], [0, 8, 76, 15, 474, 210, 378, 384, 30, 86, 2, 1], [0, 8, 77, 6, 510, 126, 504, 258, 114, 50, 11, 0], [0, 8, 77, 7, 502, 154, 448, 328, 58, 78, 3, 1], [0, 9, 66, 58, 370, 364, 238, 454, 22, 75, 8, 0], [0, 9, 67, 50, 398, 308, 308, 398, 50, 67, 9, 0], [0, 9, 68, 42, 426, 252, 378, 342, 78, 59, 10, 0], [0, 9, 68, 43, 418, 280, 322, 412, 22, 87, 2, 1], [0, 9, 69, 34, 454, 196, 448, 286, 106, 51, 11, 0], [0, 9, 69, 35, 446, 224, 392, 356, 50, 79, 3, 1], [0, 9, 70, 26, 482, 140, 518, 230, 134, 43, 12, 0], [0, 9, 70, 27, 474, 168, 462, 300, 78, 71, 4, 1], [0, 9, 71, 18, 510, 84, 588, 174, 162, 35, 13, 0], [0, 9, 71, 19, 502, 112, 532, 244, 106, 63, 5, 1], [0, 9, 72, 10, 538, 28, 658, 118, 190, 27, 14, 0], [0, 9, 72, 11, 530, 56, 602, 188, 134, 55, 6, 1], [0, 9, 73, 3, 558, 0, 672, 132, 162, 47, 7, 1], [0, 10, 58, 86, 314, 434, 182, 482, 14, 76, 8, 0], [0, 10, 59, 78, 342, 378, 252, 426, 42, 68, 9, 0], [0, 10, 60, 70, 370, 322, 322, 370, 70, 60, 10, 0], [0, 10, 60, 71, 362, 350, 266, 440, 14, 88, 2, 1], [0, 10, 61, 62, 398, 266, 392, 314, 98, 52, 11, 0], [0, 10, 61, 63, 390, 294, 336, 384, 42, 80, 3, 1], [0, 10, 62, 54, 426, 210, 462, 258, 126, 44, 12, 0], [0, 10, 62, 55, 418, 238, 406, 328, 70, 72, 4, 1], [0, 10, 63, 46, 454, 154, 532, 202, 154, 36, 13, 0], [0, 10, 63, 47, 446, 182, 476, 272, 98, 64, 5, 1], [0, 10, 64, 38, 482, 98, 602, 146, 182, 28, 14, 0], [0, 10, 64, 39, 474, 126, 546, 216, 126, 56, 6, 1], [0, 10, 65, 30, 510, 42, 672, 90, 210, 20, 15, 0], [0, 10, 65, 31, 502, 70, 616, 160, 154, 48, 7, 1], [0, 10, 66, 23, 530, 14, 686, 104, 182, 40, 8, 1], [0, 10, 66, 24, 522, 42, 630, 174, 126, 68, 0, 2], [0, 11, 50, 114, 258, 504, 126, 510, 6, 77, 8, 0], [0, 11, 51, 106, 286, 448, 196, 454, 34, 69, 9, 0], [0, 11, 52, 98, 314, 392, 266, 398, 62, 61, 10, 0], [0, 11, 52, 99, 306, 420, 210, 468, 6, 89, 2, 1], [0, 11, 53, 90, 342, 336, 336, 342, 90, 53, 11, 0], [0, 11, 53, 91, 334, 364, 280, 412, 34, 81, 3, 1], [0, 11, 54, 82, 370, 280, 406, 286, 118, 45, 12, 0], [0, 11, 54, 83, 362, 308, 350, 356, 62, 73, 4, 1], [0, 11, 55, 74, 398, 224, 476, 230, 146, 37, 13, 0], [0, 11, 55, 75, 390, 252, 420, 300, 90, 65, 5, 1], [0, 11, 56, 66, 426, 168, 546, 174, 174, 29, 14, 0], [0, 11, 56, 67, 418, 196, 490, 244, 118, 57, 6, 1], [0, 11, 57, 58, 454, 112, 616, 118, 202, 21, 15, 0], [0, 11, 57, 59, 446, 140, 560, 188, 146, 49, 7, 1], [0, 11, 58, 50, 482, 56, 686, 62, 230, 13, 16, 0], [0, 11, 58, 51, 474, 84, 630, 132, 174, 41, 8, 1], [0, 11, 58, 52, 466, 112, 574, 202, 118, 69, 0, 2], [0, 11, 59, 42, 510, 0, 756, 6, 258, 5, 17, 0], [0, 11, 59, 43, 502, 28, 700, 76, 202, 33, 9, 1], [0, 11, 59, 44, 494, 56, 644, 146, 146, 61, 1, 2], [0, 11, 60, 36, 522, 0, 714, 90, 174, 53, 2, 2], [0, 12, 43, 134, 230, 518, 140, 482, 26, 70, 9, 0], [0, 12, 44, 126, 258, 462, 210, 426, 54, 62, 10, 0], [0, 12, 45, 118, 286, 406, 280, 370, 82, 54, 11, 0], [0, 12, 45, 119, 278, 434, 224, 440, 26, 82, 3, 1], [0, 12, 46, 110, 314, 350, 350, 314, 110, 46, 12, 0], [0, 12, 46, 111, 306, 378, 294, 384, 54, 74, 4, 1], [0, 12, 47, 102, 342, 294, 420, 258, 138, 38, 13, 0], [0, 12, 47, 103, 334, 322, 364, 328, 82, 66, 5, 1], [0, 12, 48, 94, 370, 238, 490, 202, 166, 30, 14, 0], [0, 12, 48, 95, 362, 266, 434, 272, 110, 58, 6, 1], [0, 12, 49, 86, 398, 182, 560, 146, 194, 22, 15, 0], [0, 12, 49, 87, 390, 210, 504, 216, 138, 50, 7, 1], [0, 12, 50, 78, 426, 126, 630, 90, 222, 14, 16, 0], [0, 12, 50, 79, 418, 154, 574, 160, 166, 42, 8, 1], [0, 12, 50, 80, 410, 182, 518, 230, 110, 70, 0, 2], [0, 12, 51, 70, 454, 70, 700, 34, 250, 6, 17, 0], [0, 12, 51, 71, 446, 98, 644, 104, 194, 34, 9, 1], [0, 12, 51, 72, 438, 126, 588, 174, 138, 62, 1, 2], [0, 12, 52, 63, 474, 42, 714, 48, 222, 26, 10, 1], [0, 12, 52, 64, 466, 70, 658, 118, 166, 54, 2, 2], [0, 12, 53, 56, 494, 14, 728, 62, 194, 46, 3, 2], [0, 13, 35, 162, 174, 588, 84, 510, 18, 71, 9, 0], [0, 13, 36, 154, 202, 532, 154, 454, 46, 63, 10, 0], [0, 13, 37, 146, 230, 476, 224, 398, 74, 55, 11, 0], [0, 13, 37, 147, 222, 504, 168, 468, 18, 83, 3, 1], [0, 13, 38, 138, 258, 420, 294, 342, 102, 47, 12, 0], [0, 13, 38, 139, 250, 448, 238, 412, 46, 75, 4, 1], [0, 13, 39, 130, 286, 364, 364, 286, 130, 39, 13, 0], [0, 13, 39, 131, 278, 392, 308, 356, 74, 67, 5, 1], [0, 13, 40, 122, 314, 308, 434, 230, 158, 31, 14, 0], [0, 13, 40, 123, 306, 336, 378, 300, 102, 59, 6, 1], [0, 13, 41, 114, 342, 252, 504, 174, 186, 23, 15, 0], [0, 13, 41, 115, 334, 280, 448, 244, 130, 51, 7, 1], [0, 13, 42, 106, 370, 196, 574, 118, 214, 15, 16, 0], [0, 13, 42, 107, 362, 224, 518, 188, 158, 43, 8, 1], [0, 13, 42, 108, 354, 252, 462, 258, 102, 71, 0, 2], [0, 13, 43, 98, 398, 140, 644, 62, 242, 7, 17, 0], [0, 13, 43, 99, 390, 168, 588, 132, 186, 35, 9, 1], [0, 13, 43, 100, 382, 196, 532, 202, 130, 63, 1, 2], [0, 13, 44, 91, 418, 112, 658, 76, 214, 27, 10, 1], [0, 13, 44, 92, 410, 140, 602, 146, 158, 55, 2, 2], [0, 13, 45, 83, 446, 56, 728, 20, 242, 19, 11, 1], [0, 13, 45, 84, 438, 84, 672, 90, 186, 47, 3, 2], [0, 13, 46, 76, 466, 28, 742, 34, 214, 39, 4, 2], [0, 14, 27, 190, 118, 658, 28, 538, 10, 72, 9, 0], [0, 14, 28, 182, 146, 602, 98, 482, 38, 64, 10, 0], [0, 14, 29, 174, 174, 546, 168, 426, 66, 56, 11, 0], [0, 14, 29, 175, 166, 574, 112, 496, 10, 84, 3, 1], [0, 14, 30, 166, 202, 490, 238, 370, 94, 48, 12, 0], [0, 14, 30, 167, 194, 518, 182, 440, 38, 76, 4, 1], [0, 14, 31, 158, 230, 434, 308, 314, 122, 40, 13, 0], [0, 14, 31, 159, 222, 462, 252, 384, 66, 68, 5, 1], [0, 14, 32, 150, 258, 378, 378, 258, 150, 32, 14, 0], [0, 14, 32, 151, 250, 406, 322, 328, 94, 60, 6, 1], [0, 14, 33, 142, 286, 322, 448, 202, 178, 24, 15, 0], [0, 14, 33, 143, 278, 350, 392, 272, 122, 52, 7, 1], [0, 14, 34, 134, 314, 266, 518, 146, 206, 16, 16, 0], [0, 14, 34, 135, 306, 294, 462, 216, 150, 44, 8, 1], [0, 14, 34, 136, 298, 322, 406, 286, 94, 72, 0, 2], [0, 14, 35, 126, 342, 210, 588, 90, 234, 8, 17, 0], [0, 14, 35, 127, 334, 238, 532, 160, 178, 36, 9, 1], [0, 14, 35, 128, 326, 266, 476, 230, 122, 64, 1, 2], [0, 14, 36, 118, 370, 154, 658, 34, 262, 0, 18, 0], [0, 14, 36, 119, 362, 182, 602, 104, 206, 28, 10, 1], [0, 14, 36, 120, 354, 210, 546, 174, 150, 56, 2, 2], [0, 14, 37, 111, 390, 126, 672, 48, 234, 20, 11, 1], [0, 14, 37, 112, 382, 154, 616, 118, 178, 48, 3, 2], [0, 14, 38, 104, 410, 98, 686, 62, 206, 40, 4, 2], [0, 14, 39, 96, 438, 42, 756, 6, 234, 32, 5, 2], [0, 15, 20, 210, 90, 672, 42, 510, 30, 65, 10, 0], [0, 15, 21, 202, 118, 616, 112, 454, 58, 57, 11, 0], [0, 15, 21, 203, 110, 644, 56, 524, 2, 85, 3, 1], [0, 15, 22, 194, 146, 560, 182, 398, 86, 49, 12, 0], [0, 15, 22, 195, 138, 588, 126, 468, 30, 77, 4, 1], [0, 15, 23, 186, 174, 504, 252, 342, 114, 41, 13, 0], [0, 15, 23, 187, 166, 532, 196, 412, 58, 69, 5, 1], [0, 15, 24, 178, 202, 448, 322, 286, 142, 33, 14, 0], [0, 15, 24, 179, 194, 476, 266, 356, 86, 61, 6, 1], [0, 15, 25, 170, 230, 392, 392, 230, 170, 25, 15, 0], [0, 15, 25, 171, 222, 420, 336, 300, 114, 53, 7, 1], [0, 15, 26, 162, 258, 336, 462, 174, 198, 17, 16, 0], [0, 15, 26, 163, 250, 364, 406, 244, 142, 45, 8, 1], [0, 15, 26, 164, 242, 392, 350, 314, 86, 73, 0, 2], [0, 15, 27, 154, 286, 280, 532, 118, 226, 9, 17, 0], [0, 15, 27, 155, 278, 308, 476, 188, 170, 37, 9, 1], [0, 15, 27, 156, 270, 336, 420, 258, 114, 65, 1, 2], [0, 15, 28, 146, 314, 224, 602, 62, 254, 1, 18, 0], [0, 15, 28, 147, 306, 252, 546, 132, 198, 29, 10, 1], [0, 15, 28, 148, 298, 280, 490, 202, 142, 57, 2, 2], [0, 15, 29, 139, 334, 196, 616, 76, 226, 21, 11, 1], [0, 15, 29, 140, 326, 224, 560, 146, 170, 49, 3, 2], [0, 15, 30, 131, 362, 140, 686, 20, 254, 13, 12, 1], [0, 15, 30, 132, 354, 168, 630, 90, 198, 41, 4, 2], [0, 15, 31, 124, 382, 112, 700, 34, 226, 33, 5, 2], [0, 16, 13, 230, 62, 686, 56, 482, 50, 58, 11, 0], [0, 16, 14, 222, 90, 630, 126, 426, 78, 50, 12, 0], [0, 16, 14, 223, 82, 658, 70, 496, 22, 78, 4, 1], [0, 16, 15, 214, 118, 574, 196, 370, 106, 42, 13, 0], [0, 16, 15, 215, 110, 602, 140, 440, 50, 70, 5, 1], [0, 16, 16, 206, 146, 518, 266, 314, 134, 34, 14, 0], [0, 16, 16, 207, 138, 546, 210, 384, 78, 62, 6, 1], [0, 16, 17, 198, 174, 462, 336, 258, 162, 26, 15, 0], [0, 16, 17, 199, 166, 490, 280, 328, 106, 54, 7, 1], [0, 16, 18, 190, 202, 406, 406, 202, 190, 18, 16, 0], [0, 16, 18, 191, 194, 434, 350, 272, 134, 46, 8, 1], [0, 16, 18, 192, 186, 462, 294, 342, 78, 74, 0, 2], [0, 16, 19, 182, 230, 350, 476, 146, 218, 10, 17, 0], [0, 16, 19, 183, 222, 378, 420, 216, 162, 38, 9, 1], [0, 16, 19, 184, 214, 406, 364, 286, 106, 66, 1, 2], [0, 16, 20, 174, 258, 294, 546, 90, 246, 2, 18, 0], [0, 16, 20, 175, 250, 322, 490, 160, 190, 30, 10, 1], [0, 16, 20, 176, 242, 350, 434, 230, 134, 58, 2, 2], [0, 16, 21, 167, 278, 266, 560, 104, 218, 22, 11, 1], [0, 16, 21, 168, 270, 294, 504, 174, 162, 50, 3, 2], [0, 16, 22, 159, 306, 210, 630, 48, 246, 14, 12, 1], [0, 16, 22, 160, 298, 238, 574, 118, 190, 42, 4, 2], [0, 16, 23, 152, 326, 182, 644, 62, 218, 34, 5, 2], [0, 16, 24, 144, 354, 126, 714, 6, 246, 26, 6, 2], [0, 17, 5, 258, 6, 756, 0, 510, 42, 59, 11, 0], [0, 17, 6, 250, 34, 700, 70, 454, 70, 51, 12, 0], [0, 17, 6, 251, 26, 728, 14, 524, 14, 79, 4, 1], [0, 17, 7, 242, 62, 644, 140, 398, 98, 43, 13, 0], [0, 17, 7, 243, 54, 672, 84, 468, 42, 71, 5, 1], [0, 17, 8, 234, 90, 588, 210, 342, 126, 35, 14, 0], [0, 17, 8, 235, 82, 616, 154, 412, 70, 63, 6, 1], [0, 17, 9, 226, 118, 532, 280, 286, 154, 27, 15, 0], [0, 17, 9, 227, 110, 560, 224, 356, 98, 55, 7, 1], [0, 17, 10, 218, 146, 476, 350, 230, 182, 19, 16, 0], [0, 17, 10, 219, 138, 504, 294, 300, 126, 47, 8, 1], [0, 17, 10, 220, 130, 532, 238, 370, 70, 75, 0, 2], [0, 17, 11, 210, 174, 420, 420, 174, 210, 11, 17, 0], [0, 17, 11, 211, 166, 448, 364, 244, 154, 39, 9, 1], [0, 17, 11, 212, 158, 476, 308, 314, 98, 67, 1, 2], [0, 17, 12, 202, 202, 364, 490, 118, 238, 3, 18, 0], [0, 17, 12, 203, 194, 392, 434, 188, 182, 31, 10, 1], [0, 17, 12, 204, 186, 420, 378, 258, 126, 59, 2, 2], [0, 17, 13, 195, 222, 336, 504, 132, 210, 23, 11, 1], [0, 17, 13, 196, 214, 364, 448, 202, 154, 51, 3, 2], [0, 17, 14, 187, 250, 280, 574, 76, 238, 15, 12, 1], [0, 17, 14, 188, 242, 308, 518, 146, 182, 43, 4, 2], [0, 17, 15, 179, 278, 224, 644, 20, 266, 7, 13, 1], [0, 17, 15, 180, 270, 252, 588, 90, 210, 35, 5, 2], [0, 17, 16, 172, 298, 196, 658, 34, 238, 27, 6, 2], [0, 18, 0, 262, 34, 658, 154, 370, 118, 36, 14, 0], [0, 18, 0, 263, 26, 686, 98, 440, 62, 64, 6, 1], [0, 18, 1, 254, 62, 602, 224, 314, 146, 28, 15, 0], [0, 18, 1, 255, 54, 630, 168, 384, 90, 56, 7, 1], [0, 18, 2, 246, 90, 546, 294, 258, 174, 20, 16, 0], [0, 18, 2, 247, 82, 574, 238, 328, 118, 48, 8, 1], [0, 18, 2, 248, 74, 602, 182, 398, 62, 76, 0, 2], [0, 18, 3, 238, 118, 490, 364, 202, 202, 12, 17, 0], [0, 18, 3, 239, 110, 518, 308, 272, 146, 40, 9, 1], [0, 18, 3, 240, 102, 546, 252, 342, 90, 68, 1, 2], [0, 18, 4, 230, 146, 434, 434, 146, 230, 4, 18, 0], [0, 18, 4, 231, 138, 462, 378, 216, 174, 32, 10, 1], [0, 18, 4, 232, 130, 490, 322, 286, 118, 60, 2, 2], [0, 18, 5, 223, 166, 406, 448, 160, 202, 24, 11, 1], [0, 18, 5, 224, 158, 434, 392, 230, 146, 52, 3, 2], [0, 18, 6, 215, 194, 350, 518, 104, 230, 16, 12, 1], [0, 18, 6, 216, 186, 378, 462, 174, 174, 44, 4, 2], [0, 18, 7, 207, 222, 294, 588, 48, 258, 8, 13, 1], [0, 18, 7, 208, 214, 322, 532, 118, 202, 36, 5, 2], [0, 18, 8, 200, 242, 266, 602, 62, 230, 28, 6, 2], [0, 18, 9, 192, 270, 210, 672, 6, 258, 20, 7, 2], [0, 18, 10, 185, 290, 182, 686, 20, 230, 40, 0, 3], [0, 19, 0, 227, 194, 308, 602, 20, 278, 1, 14, 1], [0, 19, 0, 228, 186, 336, 546, 90, 222, 29, 6, 2], [0, 19, 1, 220, 214, 280, 616, 34, 250, 21, 7, 2], [0, 19, 2, 213, 234, 252, 630, 48, 222, 41, 0, 3]} (12, 1664, 7) has 1127 possible DDs: {[0, 0, 63, 16, 204, 528, 42, 528, 204, 16, 63, 0, 0], [0, 0, 64, 8, 232, 472, 112, 472, 232, 8, 64, 0, 0], [0, 0, 64, 9, 224, 500, 56, 542, 176, 36, 56, 1, 0], [0, 0, 64, 10, 216, 528, 0, 612, 120, 64, 48, 2, 0], [0, 0, 65, 0, 260, 416, 182, 416, 260, 0, 65, 0, 0], [0, 0, 65, 1, 252, 444, 126, 486, 204, 28, 57, 1, 0], [0, 0, 65, 2, 244, 472, 70, 556, 148, 56, 49, 2, 0], [0, 0, 65, 3, 236, 500, 14, 626, 92, 84, 41, 3, 0], [0, 1, 56, 36, 176, 542, 56, 500, 224, 9, 64, 0, 0], [0, 1, 56, 37, 168, 570, 0, 570, 168, 37, 56, 1, 0], [0, 1, 57, 28, 204, 486, 126, 444, 252, 1, 65, 0, 0], [0, 1, 57, 29, 196, 514, 70, 514, 196, 29, 57, 1, 0], [0, 1, 57, 30, 188, 542, 14, 584, 140, 57, 49, 2, 0], [0, 1, 58, 21, 224, 458, 140, 458, 224, 21, 58, 1, 0], [0, 1, 58, 22, 216, 486, 84, 528, 168, 49, 50, 2, 0], [0, 1, 58, 23, 208, 514, 28, 598, 112, 77, 42, 3, 0], [0, 1, 59, 13, 252, 402, 210, 402, 252, 13, 59, 1, 0], [0, 1, 59, 14, 244, 430, 154, 472, 196, 41, 51, 2, 0], [0, 1, 59, 15, 236, 458, 98, 542, 140, 69, 43, 3, 0], [0, 1, 59, 16, 228, 486, 42, 612, 84, 97, 35, 4, 0], [0, 1, 60, 5, 280, 346, 280, 346, 280, 5, 60, 1, 0], [0, 1, 60, 6, 272, 374, 224, 416, 224, 33, 52, 2, 0], [0, 1, 60, 7, 264, 402, 168, 486, 168, 61, 44, 3, 0], [0, 1, 60, 8, 256, 430, 112, 556, 112, 89, 36, 4, 0], [0, 1, 60, 9, 248, 458, 56, 626, 56, 117, 28, 5, 0], [0, 1, 60, 10, 240, 486, 0, 696, 0, 145, 20, 6, 0], [0, 1, 61, 0, 284, 374, 182, 500, 140, 81, 37, 4, 0], [0, 1, 61, 1, 276, 402, 126, 570, 84, 109, 29, 5, 0], [0, 1, 61, 2, 268, 430, 70, 640, 28, 137, 21, 6, 0], [0, 2, 48, 64, 120, 612, 0, 528, 216, 10, 64, 0, 0], [0, 2, 49, 56, 148, 556, 70, 472, 244, 2, 65, 0, 0], [0, 2, 49, 57, 140, 584, 14, 542, 188, 30, 57, 1, 0], [0, 2, 50, 49, 168, 528, 84, 486, 216, 22, 58, 1, 0], [0, 2, 50, 50, 160, 556, 28, 556, 160, 50, 50, 2, 0], [0, 2, 51, 41, 196, 472, 154, 430, 244, 14, 59, 1, 0], [0, 2, 51, 42, 188, 500, 98, 500, 188, 42, 51, 2, 0], [0, 2, 51, 43, 180, 528, 42, 570, 132, 70, 43, 3, 0], [0, 2, 52, 33, 224, 416, 224, 374, 272, 6, 60, 1, 0], [0, 2, 52, 34, 216, 444, 168, 444, 216, 34, 52, 2, 0], [0, 2, 52, 35, 208, 472, 112, 514, 160, 62, 44, 3, 0], [0, 2, 52, 36, 200, 500, 56, 584, 104, 90, 36, 4, 0], [0, 2, 52, 37, 192, 528, 0, 654, 48, 118, 28, 5, 0], [0, 2, 53, 26, 244, 388, 238, 388, 244, 26, 53, 2, 0], [0, 2, 53, 27, 236, 416, 182, 458, 188, 54, 45, 3, 0], [0, 2, 53, 28, 228, 444, 126, 528, 132, 82, 37, 4, 0], [0, 2, 53, 29, 220, 472, 70, 598, 76, 110, 29, 5, 0], [0, 2, 53, 30, 212, 500, 14, 668, 20, 138, 21, 6, 0], [0, 2, 54, 18, 272, 332, 308, 332, 272, 18, 54, 2, 0], [0, 2, 54, 19, 264, 360, 252, 402, 216, 46, 46, 3, 0], [0, 2, 54, 20, 256, 388, 196, 472, 160, 74, 38, 4, 0], [0, 2, 54, 21, 248, 416, 140, 542, 104, 102, 30, 5, 0], [0, 2, 54, 22, 240, 444, 84, 612, 48, 130, 22, 6, 0], [0, 2, 54, 24, 225, 492, 0, 696, 6, 130, 34, 0, 1], [0, 2, 55, 10, 300, 276, 378, 276, 300, 10, 55, 2, 0], [0, 2, 55, 11, 292, 304, 322, 346, 244, 38, 47, 3, 0], [0, 2, 55, 12, 284, 332, 266, 416, 188, 66, 39, 4, 0], [0, 2, 55, 13, 276, 360, 210, 486, 132, 94, 31, 5, 0], [0, 2, 55, 14, 268, 388, 154, 556, 76, 122, 23, 6, 0], [0, 2, 55, 15, 260, 416, 98, 626, 20, 150, 15, 7, 0], [0, 2, 55, 16, 253, 436, 70, 640, 34, 122, 35, 0, 1], [0, 2, 56, 2, 328, 220, 448, 220, 328, 2, 56, 2, 0], [0, 2, 56, 3, 320, 248, 392, 290, 272, 30, 48, 3, 0], [0, 2, 56, 4, 312, 276, 336, 360, 216, 58, 40, 4, 0], [0, 2, 56, 5, 304, 304, 280, 430, 160, 86, 32, 5, 0], [0, 2, 56, 6, 296, 332, 224, 500, 104, 114, 24, 6, 0], [0, 2, 56, 7, 288, 360, 168, 570, 48, 142, 16, 7, 0], [0, 2, 56, 8, 281, 380, 140, 584, 62, 114, 36, 0, 1], [0, 2, 56, 9, 273, 408, 84, 654, 6, 142, 28, 1, 1], [0, 2, 57, 0, 308, 332, 182, 584, 20, 162, 9, 8, 0], [0, 2, 57, 0, 309, 324, 210, 528, 90, 106, 37, 0, 1], [0, 2, 57, 1, 301, 352, 154, 598, 34, 134, 29, 1, 1], [0, 3, 41, 84, 92, 626, 14, 500, 236, 3, 65, 0, 0], [0, 3, 42, 77, 112, 598, 28, 514, 208, 23, 58, 1, 0], [0, 3, 43, 69, 140, 542, 98, 458, 236, 15, 59, 1, 0], [0, 3, 43, 70, 132, 570, 42, 528, 180, 43, 51, 2, 0], [0, 3, 44, 61, 168, 486, 168, 402, 264, 7, 60, 1, 0], [0, 3, 44, 62, 160, 514, 112, 472, 208, 35, 52, 2, 0], [0, 3, 44, 63, 152, 542, 56, 542, 152, 63, 44, 3, 0], [0, 3, 44, 64, 144, 570, 0, 612, 96, 91, 36, 4, 0], [0, 3, 45, 54, 188, 458, 182, 416, 236, 27, 53, 2, 0], [0, 3, 45, 55, 180, 486, 126, 486, 180, 55, 45, 3, 0], [0, 3, 45, 56, 172, 514, 70, 556, 124, 83, 37, 4, 0], [0, 3, 45, 57, 164, 542, 14, 626, 68, 111, 29, 5, 0], [0, 3, 46, 46, 216, 402, 252, 360, 264, 19, 54, 2, 0], [0, 3, 46, 47, 208, 430, 196, 430, 208, 47, 46, 3, 0], [0, 3, 46, 48, 200, 458, 140, 500, 152, 75, 38, 4, 0], [0, 3, 46, 49, 192, 486, 84, 570, 96, 103, 30, 5, 0], [0, 3, 46, 50, 184, 514, 28, 640, 40, 131, 22, 6, 0], [0, 3, 47, 38, 244, 346, 322, 304, 292, 11, 55, 2, 0], [0, 3, 47, 39, 236, 374, 266, 374, 236, 39, 47, 3, 0], [0, 3, 47, 40, 228, 402, 210, 444, 180, 67, 39, 4, 0], [0, 3, 47, 41, 220, 430, 154, 514, 124, 95, 31, 5, 0], [0, 3, 47, 42, 212, 458, 98, 584, 68, 123, 23, 6, 0], [0, 3, 47, 43, 204, 486, 42, 654, 12, 151, 15, 7, 0], [0, 3, 47, 44, 197, 506, 14, 668, 26, 123, 35, 0, 1], [0, 3, 48, 30, 272, 290, 392, 248, 320, 3, 56, 2, 0], [0, 3, 48, 31, 264, 318, 336, 318, 264, 31, 48, 3, 0], [0, 3, 48, 32, 256, 346, 280, 388, 208, 59, 40, 4, 0], [0, 3, 48, 33, 248, 374, 224, 458, 152, 87, 32, 5, 0], [0, 3, 48, 34, 240, 402, 168, 528, 96, 115, 24, 6, 0], [0, 3, 48, 35, 232, 430, 112, 598, 40, 143, 16, 7, 0], [0, 3, 48, 36, 225, 450, 84, 612, 54, 115, 36, 0, 1], [0, 3, 49, 23, 292, 262, 406, 262, 292, 23, 49, 3, 0], [0, 3, 49, 24, 284, 290, 350, 332, 236, 51, 41, 4, 0], [0, 3, 49, 25, 276, 318, 294, 402, 180, 79, 33, 5, 0], [0, 3, 49, 26, 268, 346, 238, 472, 124, 107, 25, 6, 0], [0, 3, 49, 27, 260, 374, 182, 542, 68, 135, 17, 7, 0], [0, 3, 49, 28, 252, 402, 126, 612, 12, 163, 9, 8, 0], [0, 3, 49, 28, 253, 394, 154, 556, 82, 107, 37, 0, 1], [0, 3, 49, 29, 245, 422, 98, 626, 26, 135, 29, 1, 1], [0, 3, 50, 15, 320, 206, 476, 206, 320, 15, 50, 3, 0], [0, 3, 50, 16, 312, 234, 420, 276, 264, 43, 42, 4, 0], [0, 3, 50, 17, 304, 262, 364, 346, 208, 71, 34, 5, 0], [0, 3, 50, 18, 296, 290, 308, 416, 152, 99, 26, 6, 0], [0, 3, 50, 19, 288, 318, 252, 486, 96, 127, 18, 7, 0], [0, 3, 50, 20, 280, 346, 196, 556, 40, 155, 10, 8, 0], [0, 3, 50, 20, 281, 338, 224, 500, 110, 99, 38, 0, 1], [0, 3, 50, 21, 273, 366, 168, 570, 54, 127, 30, 1, 1], [0, 3, 51, 7, 348, 150, 546, 150, 348, 7, 51, 3, 0], [0, 3, 51, 8, 340, 178, 490, 220, 292, 35, 43, 4, 0], [0, 3, 51, 9, 332, 206, 434, 290, 236, 63, 35, 5, 0], [0, 3, 51, 10, 324, 234, 378, 360, 180, 91, 27, 6, 0], [0, 3, 51, 11, 316, 262, 322, 430, 124, 119, 19, 7, 0], [0, 3, 51, 12, 308, 290, 266, 500, 68, 147, 11, 8, 0], [0, 3, 51, 12, 309, 282, 294, 444, 138, 91, 39, 0, 1], [0, 3, 51, 13, 300, 318, 210, 570, 12, 175, 3, 9, 0], [0, 3, 51, 13, 301, 310, 238, 514, 82, 119, 31, 1, 1], [0, 3, 51, 14, 293, 338, 182, 584, 26, 147, 23, 2, 1], [0, 3, 52, 0, 368, 122, 560, 164, 320, 27, 44, 4, 0], [0, 3, 52, 1, 360, 150, 504, 234, 264, 55, 36, 5, 0], [0, 3, 52, 2, 352, 178, 448, 304, 208, 83, 28, 6, 0], [0, 3, 52, 3, 344, 206, 392, 374, 152, 111, 20, 7, 0], [0, 3, 52, 4, 336, 234, 336, 444, 96, 139, 12, 8, 0], [0, 3, 52, 4, 337, 226, 364, 388, 166, 83, 40, 0, 1], [0, 3, 52, 5, 328, 262, 280, 514, 40, 167, 4, 9, 0], [0, 3, 52, 5, 329, 254, 308, 458, 110, 111, 32, 1, 1], [0, 3, 52, 6, 321, 282, 252, 528, 54, 139, 24, 2, 1], [0, 4, 35, 97, 84, 612, 42, 486, 228, 16, 59, 1, 0], [0, 4, 36, 89, 112, 556, 112, 430, 256, 8, 60, 1, 0], [0, 4, 36, 90, 104, 584, 56, 500, 200, 36, 52, 2, 0], [0, 4, 36, 91, 96, 612, 0, 570, 144, 64, 44, 3, 0], [0, 4, 37, 81, 140, 500, 182, 374, 284, 0, 61, 1, 0], [0, 4, 37, 82, 132, 528, 126, 444, 228, 28, 53, 2, 0], [0, 4, 37, 83, 124, 556, 70, 514, 172, 56, 45, 3, 0], [0, 4, 37, 84, 116, 584, 14, 584, 116, 84, 37, 4, 0], [0, 4, 38, 74, 160, 472, 196, 388, 256, 20, 54, 2, 0], [0, 4, 38, 75, 152, 500, 140, 458, 200, 48, 46, 3, 0], [0, 4, 38, 76, 144, 528, 84, 528, 144, 76, 38, 4, 0], [0, 4, 38, 77, 136, 556, 28, 598, 88, 104, 30, 5, 0], [0, 4, 39, 66, 188, 416, 266, 332, 284, 12, 55, 2, 0], [0, 4, 39, 67, 180, 444, 210, 402, 228, 40, 47, 3, 0], [0, 4, 39, 68, 172, 472, 154, 472, 172, 68, 39, 4, 0], [0, 4, 39, 69, 164, 500, 98, 542, 116, 96, 31, 5, 0], [0, 4, 39, 70, 156, 528, 42, 612, 60, 124, 23, 6, 0], [0, 4, 40, 58, 216, 360, 336, 276, 312, 4, 56, 2, 0], [0, 4, 40, 59, 208, 388, 280, 346, 256, 32, 48, 3, 0], [0, 4, 40, 60, 200, 416, 224, 416, 200, 60, 40, 4, 0], [0, 4, 40, 61, 192, 444, 168, 486, 144, 88, 32, 5, 0], [0, 4, 40, 62, 184, 472, 112, 556, 88, 116, 24, 6, 0], [0, 4, 40, 63, 176, 500, 56, 626, 32, 144, 16, 7, 0], [0, 4, 40, 64, 169, 520, 28, 640, 46, 116, 36, 0, 1], [0, 4, 41, 51, 236, 332, 350, 290, 284, 24, 49, 3, 0], [0, 4, 41, 52, 228, 360, 294, 360, 228, 52, 41, 4, 0], [0, 4, 41, 53, 220, 388, 238, 430, 172, 80, 33, 5, 0], [0, 4, 41, 54, 212, 416, 182, 500, 116, 108, 25, 6, 0], [0, 4, 41, 55, 204, 444, 126, 570, 60, 136, 17, 7, 0], [0, 4, 41, 56, 196, 472, 70, 640, 4, 164, 9, 8, 0], [0, 4, 41, 56, 197, 464, 98, 584, 74, 108, 37, 0, 1], [0, 4, 41, 57, 189, 492, 42, 654, 18, 136, 29, 1, 1], [0, 4, 42, 43, 264, 276, 420, 234, 312, 16, 50, 3, 0], [0, 4, 42, 44, 256, 304, 364, 304, 256, 44, 42, 4, 0], [0, 4, 42, 45, 248, 332, 308, 374, 200, 72, 34, 5, 0], [0, 4, 42, 46, 240, 360, 252, 444, 144, 100, 26, 6, 0], [0, 4, 42, 47, 232, 388, 196, 514, 88, 128, 18, 7, 0], [0, 4, 42, 48, 224, 416, 140, 584, 32, 156, 10, 8, 0], [0, 4, 42, 48, 225, 408, 168, 528, 102, 100, 38, 0, 1], [0, 4, 42, 49, 217, 436, 112, 598, 46, 128, 30, 1, 1], [0, 4, 43, 35, 292, 220, 490, 178, 340, 8, 51, 3, 0], [0, 4, 43, 36, 284, 248, 434, 248, 284, 36, 43, 4, 0], [0, 4, 43, 37, 276, 276, 378, 318, 228, 64, 35, 5, 0], [0, 4, 43, 38, 268, 304, 322, 388, 172, 92, 27, 6, 0], [0, 4, 43, 39, 260, 332, 266, 458, 116, 120, 19, 7, 0], [0, 4, 43, 40, 252, 360, 210, 528, 60, 148, 11, 8, 0], [0, 4, 43, 40, 253, 352, 238, 472, 130, 92, 39, 0, 1], [0, 4, 43, 41, 244, 388, 154, 598, 4, 176, 3, 9, 0], [0, 4, 43, 41, 245, 380, 182, 542, 74, 120, 31, 1, 1], [0, 4, 43, 42, 237, 408, 126, 612, 18, 148, 23, 2, 1], [0, 4, 44, 27, 320, 164, 560, 122, 368, 0, 52, 3, 0], [0, 4, 44, 28, 312, 192, 504, 192, 312, 28, 44, 4, 0], [0, 4, 44, 29, 304, 220, 448, 262, 256, 56, 36, 5, 0], [0, 4, 44, 30, 296, 248, 392, 332, 200, 84, 28, 6, 0], [0, 4, 44, 31, 288, 276, 336, 402, 144, 112, 20, 7, 0], [0, 4, 44, 32, 280, 304, 280, 472, 88, 140, 12, 8, 0], [0, 4, 44, 32, 281, 296, 308, 416, 158, 84, 40, 0, 1], [0, 4, 44, 33, 272, 332, 224, 542, 32, 168, 4, 9, 0], [0, 4, 44, 33, 273, 324, 252, 486, 102, 112, 32, 1, 1], [0, 4, 44, 34, 265, 352, 196, 556, 46, 140, 24, 2, 1], [0, 4, 45, 20, 340, 136, 574, 136, 340, 20, 45, 4, 0], [0, 4, 45, 21, 332, 164, 518, 206, 284, 48, 37, 5, 0], [0, 4, 45, 22, 324, 192, 462, 276, 228, 76, 29, 6, 0], [0, 4, 45, 23, 316, 220, 406, 346, 172, 104, 21, 7, 0], [0, 4, 45, 24, 308, 248, 350, 416, 116, 132, 13, 8, 0], [0, 4, 45, 24, 309, 240, 378, 360, 186, 76, 41, 0, 1], [0, 4, 45, 25, 300, 276, 294, 486, 60, 160, 5, 9, 0], [0, 4, 45, 25, 301, 268, 322, 430, 130, 104, 33, 1, 1], [0, 4, 45, 26, 293, 296, 266, 500, 74, 132, 25, 2, 1], [0, 4, 45, 27, 285, 324, 210, 570, 18, 160, 17, 3, 1], [0, 4, 46, 12, 368, 80, 644, 80, 368, 12, 46, 4, 0], [0, 4, 46, 13, 360, 108, 588, 150, 312, 40, 38, 5, 0], [0, 4, 46, 14, 352, 136, 532, 220, 256, 68, 30, 6, 0], [0, 4, 46, 15, 344, 164, 476, 290, 200, 96, 22, 7, 0], [0, 4, 46, 16, 336, 192, 420, 360, 144, 124, 14, 8, 0], [0, 4, 46, 16, 337, 184, 448, 304, 214, 68, 42, 0, 1], [0, 4, 46, 17, 328, 220, 364, 430, 88, 152, 6, 9, 0], [0, 4, 46, 17, 329, 212, 392, 374, 158, 96, 34, 1, 1], [0, 4, 46, 18, 321, 240, 336, 444, 102, 124, 26, 2, 1], [0, 4, 46, 19, 313, 268, 280, 514, 46, 152, 18, 3, 1], [0, 4, 47, 4, 396, 24, 714, 24, 396, 4, 47, 4, 0], [0, 4, 47, 5, 388, 52, 658, 94, 340, 32, 39, 5, 0], [0, 4, 47, 6, 380, 80, 602, 164, 284, 60, 31, 6, 0], [0, 4, 47, 7, 372, 108, 546, 234, 228, 88, 23, 7, 0], [0, 4, 47, 8, 364, 136, 490, 304, 172, 116, 15, 8, 0], [0, 4, 47, 8, 365, 128, 518, 248, 242, 60, 43, 0, 1], [0, 4, 47, 9, 356, 164, 434, 374, 116, 144, 7, 9, 0], [0, 4, 47, 9, 357, 156, 462, 318, 186, 88, 35, 1, 1], [0, 4, 47, 10, 349, 184, 406, 388, 130, 116, 27, 2, 1], [0, 4, 47, 11, 341, 212, 350, 458, 74, 144, 19, 3, 1], [0, 4, 47, 12, 333, 240, 294, 528, 18, 172, 11, 4, 1], [0, 4, 48, 0, 392, 80, 560, 248, 200, 108, 16, 8, 0], [0, 4, 48, 0, 393, 72, 588, 192, 270, 52, 44, 0, 1], [0, 4, 48, 1, 384, 108, 504, 318, 144, 136, 8, 9, 0], [0, 4, 48, 1, 385, 100, 532, 262, 214, 80, 36, 1, 1], [0, 4, 48, 2, 376, 136, 448, 388, 88, 164, 0, 10, 0], [0, 4, 48, 2, 377, 128, 476, 332, 158, 108, 28, 2, 1], [0, 4, 48, 3, 369, 156, 420, 402, 102, 136, 20, 3, 1], [0, 4, 48, 4, 361, 184, 364, 472, 46, 164, 12, 4, 1], [0, 5, 28, 117, 56, 626, 56, 458, 248, 9, 60, 1, 0], [0, 5, 28, 118, 48, 654, 0, 528, 192, 37, 52, 2, 0], [0, 5, 29, 109, 84, 570, 126, 402, 276, 1, 61, 1, 0], [0, 5, 29, 110, 76, 598, 70, 472, 220, 29, 53, 2, 0], [0, 5, 29, 111, 68, 626, 14, 542, 164, 57, 45, 3, 0], [0, 5, 30, 102, 104, 542, 140, 416, 248, 21, 54, 2, 0], [0, 5, 30, 103, 96, 570, 84, 486, 192, 49, 46, 3, 0], [0, 5, 30, 104, 88, 598, 28, 556, 136, 77, 38, 4, 0], [0, 5, 31, 94, 132, 486, 210, 360, 276, 13, 55, 2, 0], [0, 5, 31, 95, 124, 514, 154, 430, 220, 41, 47, 3, 0], [0, 5, 31, 96, 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