-------
(12, 1536, 7) ALL distance distributions for INTERNAL point
(7, 1536, 7) has 1 possible DDs: {[12, 84, 252, 420, 420, 252, 84, 12]}
(8, 1536, 7) has 12 possible DDs: {[1, 88, 28, 616, 70, 616, 28, 88, 1], [2, 80, 56, 560, 140, 560, 56, 80, 2], [3, 72, 84, 504, 210, 504, 84, 72, 3], [4, 64, 112, 448, 280, 448, 112, 64, 4], [5, 56, 140, 392, 350, 392, 140, 56, 5], [6, 48, 168, 336, 420, 336, 168, 48, 6], [7, 40, 196, 280, 490, 280, 196, 40, 7], [8, 32, 224, 224, 560, 224, 224, 32, 8], [9, 24, 252, 168, 630, 168, 252, 24, 9], [10, 16, 280, 112, 700, 112, 280, 16, 10], [11, 8, 308, 56, 770, 56, 308, 8, 11], [12, 0, 336, 0, 840, 0, 336, 0, 12]}
(9, 1536, 7) has 42 possible DDs: {[1, 40, 76, 280, 406, 280, 364, 40, 49, 0], [1, 41, 68, 308, 350, 350, 308, 68, 41, 1], [1, 42, 60, 336, 294, 420, 252, 96, 33, 2], [1, 43, 52, 364, 238, 490, 196, 124, 25, 3], [1, 44, 44, 392, 182, 560, 140, 152, 17, 4], [1, 45, 36, 420, 126, 630, 84, 180, 9, 5], [1, 46, 28, 448, 70, 700, 28, 208, 1, 6], [2, 32, 104, 224, 476, 224, 392, 32, 50, 0], [2, 33, 96, 252, 420, 294, 336, 60, 42, 1], [2, 34, 88, 280, 364, 364, 280, 88, 34, 2], [2, 35, 80, 308, 308, 434, 224, 116, 26, 3], [2, 36, 72, 336, 252, 504, 168, 144, 18, 4], [2, 37, 64, 364, 196, 574, 112, 172, 10, 5], [2, 38, 56, 392, 140, 644, 56, 200, 2, 6], [3, 24, 132, 168, 546, 168, 420, 24, 51, 0], [3, 25, 124, 196, 490, 238, 364, 52, 43, 1], [3, 26, 116, 224, 434, 308, 308, 80, 35, 2], [3, 27, 108, 252, 378, 378, 252, 108, 27, 3], [3, 28, 100, 280, 322, 448, 196, 136, 19, 4], [3, 29, 92, 308, 266, 518, 140, 164, 11, 5], [3, 30, 84, 336, 210, 588, 84, 192, 3, 6], [4, 16, 160, 112, 616, 112, 448, 16, 52, 0], [4, 17, 152, 140, 560, 182, 392, 44, 44, 1], [4, 18, 144, 168, 504, 252, 336, 72, 36, 2], [4, 19, 136, 196, 448, 322, 280, 100, 28, 3], [4, 20, 128, 224, 392, 392, 224, 128, 20, 4], [4, 21, 120, 252, 336, 462, 168, 156, 12, 5], [4, 22, 112, 280, 280, 532, 112, 184, 4, 6], [5, 8, 188, 56, 686, 56, 476, 8, 53, 0], [5, 9, 180, 84, 630, 126, 420, 36, 45, 1], [5, 10, 172, 112, 574, 196, 364, 64, 37, 2], [5, 11, 164, 140, 518, 266, 308, 92, 29, 3], [5, 12, 156, 168, 462, 336, 252, 120, 21, 4], [5, 13, 148, 196, 406, 406, 196, 148, 13, 5], [5, 14, 140, 224, 350, 476, 140, 176, 5, 6], [6, 0, 216, 0, 756, 0, 504, 0, 54, 0], [6, 1, 208, 28, 700, 70, 448, 28, 46, 1], [6, 2, 200, 56, 644, 140, 392, 56, 38, 2], [6, 3, 192, 84, 588, 210, 336, 84, 30, 3], [6, 4, 184, 112, 532, 280, 280, 112, 22, 4], [6, 5, 176, 140, 476, 350, 224, 140, 14, 5], [6, 6, 168, 168, 420, 420, 168, 168, 6, 6]}
(10, 1536, 7) has 147 possible DDs: {[1, 12, 108, 24, 630, 0, 588, 72, 81, 20, 0], [1, 13, 100, 52, 574, 70, 532, 100, 73, 21, 0], [1, 13, 101, 44, 602, 14, 602, 44, 101, 13, 1], [1, 14, 92, 80, 518, 140, 476, 128, 65, 22, 0], [1, 14, 93, 72, 546, 84, 546, 72, 93, 14, 1], [1, 14, 94, 64, 574, 28, 616, 16, 121, 6, 2], [1, 15, 84, 108, 462, 210, 420, 156, 57, 23, 0], [1, 15, 85, 100, 490, 154, 490, 100, 85, 15, 1], [1, 15, 86, 92, 518, 98, 560, 44, 113, 7, 2], [1, 16, 76, 136, 406, 280, 364, 184, 49, 24, 0], [1, 16, 77, 128, 434, 224, 434, 128, 77, 16, 1], [1, 16, 78, 120, 462, 168, 504, 72, 105, 8, 2], [1, 16, 79, 112, 490, 112, 574, 16, 133, 0, 3], [1, 17, 68, 164, 350, 350, 308, 212, 41, 25, 0], [1, 17, 69, 156, 378, 294, 378, 156, 69, 17, 1], [1, 17, 70, 148, 406, 238, 448, 100, 97, 9, 2], [1, 17, 71, 140, 434, 182, 518, 44, 125, 1, 3], [1, 18, 60, 192, 294, 420, 252, 240, 33, 26, 0], [1, 18, 61, 184, 322, 364, 322, 184, 61, 18, 1], [1, 18, 62, 176, 350, 308, 392, 128, 89, 10, 2], [1, 18, 63, 168, 378, 252, 462, 72, 117, 2, 3], [1, 19, 52, 220, 238, 490, 196, 268, 25, 27, 0], [1, 19, 53, 212, 266, 434, 266, 212, 53, 19, 1], [1, 19, 54, 204, 294, 378, 336, 156, 81, 11, 2], [1, 19, 55, 196, 322, 322, 406, 100, 109, 3, 3], [1, 20, 44, 248, 182, 560, 140, 296, 17, 28, 0], [1, 20, 45, 240, 210, 504, 210, 240, 45, 20, 1], [1, 20, 46, 232, 238, 448, 280, 184, 73, 12, 2], [1, 20, 47, 224, 266, 392, 350, 128, 101, 4, 3], [1, 21, 36, 276, 126, 630, 84, 324, 9, 29, 0], [1, 21, 37, 268, 154, 574, 154, 268, 37, 21, 1], [1, 21, 38, 260, 182, 518, 224, 212, 65, 13, 2], [1, 21, 39, 252, 210, 462, 294, 156, 93, 5, 3], [1, 22, 28, 304, 70, 700, 28, 352, 1, 30, 0], [1, 22, 29, 296, 98, 644, 98, 296, 29, 22, 1], [1, 22, 30, 288, 126, 588, 168, 240, 57, 14, 2], [1, 22, 31, 280, 154, 532, 238, 184, 85, 6, 3], [1, 23, 21, 324, 42, 714, 42, 324, 21, 23, 1], [1, 23, 22, 316, 70, 658, 112, 268, 49, 15, 2], [1, 23, 23, 308, 98, 602, 182, 212, 77, 7, 3], [1, 24, 14, 344, 14, 728, 56, 296, 41, 16, 2], [1, 24, 15, 336, 42, 672, 126, 240, 69, 8, 3], [1, 24, 16, 328, 70, 616, 196, 184, 97, 0, 4], [1, 25, 8, 356, 14, 686, 140, 212, 89, 1, 4], [2, 6, 120, 24, 588, 84, 504, 120, 66, 22, 0], [2, 6, 121, 16, 616, 28, 574, 64, 94, 14, 1], [2, 7, 112, 52, 532, 154, 448, 148, 58, 23, 0], [2, 7, 113, 44, 560, 98, 518, 92, 86, 15, 1], [2, 7, 114, 36, 588, 42, 588, 36, 114, 7, 2], [2, 8, 104, 80, 476, 224, 392, 176, 50, 24, 0], [2, 8, 105, 72, 504, 168, 462, 120, 78, 16, 1], [2, 8, 106, 64, 532, 112, 532, 64, 106, 8, 2], [2, 8, 107, 56, 560, 56, 602, 8, 134, 0, 3], [2, 9, 96, 108, 420, 294, 336, 204, 42, 25, 0], [2, 9, 97, 100, 448, 238, 406, 148, 70, 17, 1], [2, 9, 98, 92, 476, 182, 476, 92, 98, 9, 2], [2, 9, 99, 84, 504, 126, 546, 36, 126, 1, 3], [2, 10, 88, 136, 364, 364, 280, 232, 34, 26, 0], [2, 10, 89, 128, 392, 308, 350, 176, 62, 18, 1], [2, 10, 90, 120, 420, 252, 420, 120, 90, 10, 2], [2, 10, 91, 112, 448, 196, 490, 64, 118, 2, 3], [2, 11, 80, 164, 308, 434, 224, 260, 26, 27, 0], [2, 11, 81, 156, 336, 378, 294, 204, 54, 19, 1], [2, 11, 82, 148, 364, 322, 364, 148, 82, 11, 2], [2, 11, 83, 140, 392, 266, 434, 92, 110, 3, 3], [2, 12, 72, 192, 252, 504, 168, 288, 18, 28, 0], [2, 12, 73, 184, 280, 448, 238, 232, 46, 20, 1], [2, 12, 74, 176, 308, 392, 308, 176, 74, 12, 2], [2, 12, 75, 168, 336, 336, 378, 120, 102, 4, 3], [2, 13, 64, 220, 196, 574, 112, 316, 10, 29, 0], [2, 13, 65, 212, 224, 518, 182, 260, 38, 21, 1], [2, 13, 66, 204, 252, 462, 252, 204, 66, 13, 2], [2, 13, 67, 196, 280, 406, 322, 148, 94, 5, 3], [2, 14, 56, 248, 140, 644, 56, 344, 2, 30, 0], [2, 14, 57, 240, 168, 588, 126, 288, 30, 22, 1], [2, 14, 58, 232, 196, 532, 196, 232, 58, 14, 2], [2, 14, 59, 224, 224, 476, 266, 176, 86, 6, 3], [2, 15, 49, 268, 112, 658, 70, 316, 22, 23, 1], [2, 15, 50, 260, 140, 602, 140, 260, 50, 15, 2], [2, 15, 51, 252, 168, 546, 210, 204, 78, 7, 3], [2, 16, 41, 296, 56, 728, 14, 344, 14, 24, 1], [2, 16, 42, 288, 84, 672, 84, 288, 42, 16, 2], [2, 16, 43, 280, 112, 616, 154, 232, 70, 8, 3], [2, 16, 44, 272, 140, 560, 224, 176, 98, 0, 4], [2, 17, 34, 316, 28, 742, 28, 316, 34, 17, 2], [2, 17, 35, 308, 56, 686, 98, 260, 62, 9, 3], [2, 17, 36, 300, 84, 630, 168, 204, 90, 1, 4], [2, 18, 27, 336, 0, 756, 42, 288, 54, 10, 3], [2, 18, 28, 328, 28, 700, 112, 232, 82, 2, 4], [3, 0, 132, 24, 546, 168, 420, 168, 51, 24, 0], [3, 0, 133, 16, 574, 112, 490, 112, 79, 16, 1], [3, 0, 134, 8, 602, 56, 560, 56, 107, 8, 2], [3, 0, 135, 0, 630, 0, 630, 0, 135, 0, 3], [3, 1, 124, 52, 490, 238, 364, 196, 43, 25, 0], [3, 1, 125, 44, 518, 182, 434, 140, 71, 17, 1], [3, 1, 126, 36, 546, 126, 504, 84, 99, 9, 2], [3, 1, 127, 28, 574, 70, 574, 28, 127, 1, 3], [3, 2, 116, 80, 434, 308, 308, 224, 35, 26, 0], [3, 2, 117, 72, 462, 252, 378, 168, 63, 18, 1], [3, 2, 118, 64, 490, 196, 448, 112, 91, 10, 2], [3, 2, 119, 56, 518, 140, 518, 56, 119, 2, 3], [3, 3, 108, 108, 378, 378, 252, 252, 27, 27, 0], [3, 3, 109, 100, 406, 322, 322, 196, 55, 19, 1], [3, 3, 110, 92, 434, 266, 392, 140, 83, 11, 2], [3, 3, 111, 84, 462, 210, 462, 84, 111, 3, 3], [3, 4, 100, 136, 322, 448, 196, 280, 19, 28, 0], [3, 4, 101, 128, 350, 392, 266, 224, 47, 20, 1], [3, 4, 102, 120, 378, 336, 336, 168, 75, 12, 2], [3, 4, 103, 112, 406, 280, 406, 112, 103, 4, 3], [3, 5, 92, 164, 266, 518, 140, 308, 11, 29, 0], [3, 5, 93, 156, 294, 462, 210, 252, 39, 21, 1], [3, 5, 94, 148, 322, 406, 280, 196, 67, 13, 2], [3, 5, 95, 140, 350, 350, 350, 140, 95, 5, 3], [3, 6, 84, 192, 210, 588, 84, 336, 3, 30, 0], [3, 6, 85, 184, 238, 532, 154, 280, 31, 22, 1], [3, 6, 86, 176, 266, 476, 224, 224, 59, 14, 2], [3, 6, 87, 168, 294, 420, 294, 168, 87, 6, 3], [3, 7, 77, 212, 182, 602, 98, 308, 23, 23, 1], [3, 7, 78, 204, 210, 546, 168, 252, 51, 15, 2], [3, 7, 79, 196, 238, 490, 238, 196, 79, 7, 3], [3, 8, 69, 240, 126, 672, 42, 336, 15, 24, 1], [3, 8, 70, 232, 154, 616, 112, 280, 43, 16, 2], [3, 8, 71, 224, 182, 560, 182, 224, 71, 8, 3], [3, 8, 72, 216, 210, 504, 252, 168, 99, 0, 4], [3, 9, 62, 260, 98, 686, 56, 308, 35, 17, 2], [3, 9, 63, 252, 126, 630, 126, 252, 63, 9, 3], [3, 9, 64, 244, 154, 574, 196, 196, 91, 1, 4], [3, 10, 54, 288, 42, 756, 0, 336, 27, 18, 2], [3, 10, 55, 280, 70, 700, 70, 280, 55, 10, 3], [3, 10, 56, 272, 98, 644, 140, 224, 83, 2, 4], [3, 11, 47, 308, 14, 770, 14, 308, 47, 11, 3], [3, 11, 48, 300, 42, 714, 84, 252, 75, 3, 4], [4, 0, 97, 184, 196, 616, 70, 328, 16, 24, 1], [4, 0, 98, 176, 224, 560, 140, 272, 44, 16, 2], [4, 0, 99, 168, 252, 504, 210, 216, 72, 8, 3], [4, 0, 100, 160, 280, 448, 280, 160, 100, 0, 4], [4, 1, 89, 212, 140, 686, 14, 356, 8, 25, 1], [4, 1, 90, 204, 168, 630, 84, 300, 36, 17, 2], [4, 1, 91, 196, 196, 574, 154, 244, 64, 9, 3], [4, 1, 92, 188, 224, 518, 224, 188, 92, 1, 4], [4, 2, 82, 232, 112, 700, 28, 328, 28, 18, 2], [4, 2, 83, 224, 140, 644, 98, 272, 56, 10, 3], [4, 2, 84, 216, 168, 588, 168, 216, 84, 2, 4], [4, 3, 75, 252, 84, 714, 42, 300, 48, 11, 3], [4, 3, 76, 244, 112, 658, 112, 244, 76, 3, 4], [4, 4, 68, 272, 56, 728, 56, 272, 68, 4, 4], [4, 5, 60, 300, 0, 798, 0, 300, 60, 5, 4]}
(11, 1536, 7) has 391 possible DDs: {[1, 1, 83, 20, 362, 350, 182, 452, 5, 73, 7, 0], [1, 1, 84, 12, 390, 294, 252, 396, 33, 65, 8, 0], [1, 1, 85, 4, 418, 238, 322, 340, 61, 57, 9, 0], [1, 1, 85, 5, 410, 266, 266, 410, 5, 85, 1, 1], [1, 2, 76, 40, 334, 364, 196, 424, 25, 66, 8, 0], [1, 2, 77, 32, 362, 308, 266, 368, 53, 58, 9, 0], [1, 2, 78, 24, 390, 252, 336, 312, 81, 50, 10, 0], [1, 2, 78, 25, 382, 280, 280, 382, 25, 78, 2, 1], [1, 2, 79, 16, 418, 196, 406, 256, 109, 42, 11, 0], [1, 2, 79, 17, 410, 224, 350, 326, 53, 70, 3, 1], [1, 2, 80, 8, 446, 140, 476, 200, 137, 34, 12, 0], [1, 2, 80, 9, 438, 168, 420, 270, 81, 62, 4, 1], [1, 2, 81, 0, 474, 84, 546, 144, 165, 26, 13, 0], [1, 2, 81, 1, 466, 112, 490, 214, 109, 54, 5, 1], [1, 3, 68, 68, 278, 434, 140, 452, 17, 67, 8, 0], [1, 3, 69, 60, 306, 378, 210, 396, 45, 59, 9, 0], [1, 3, 70, 52, 334, 322, 280, 340, 73, 51, 10, 0], [1, 3, 70, 53, 326, 350, 224, 410, 17, 79, 2, 1], [1, 3, 71, 44, 362, 266, 350, 284, 101, 43, 11, 0], [1, 3, 71, 45, 354, 294, 294, 354, 45, 71, 3, 1], [1, 3, 72, 36, 390, 210, 420, 228, 129, 35, 12, 0], [1, 3, 72, 37, 382, 238, 364, 298, 73, 63, 4, 1], [1, 3, 73, 28, 418, 154, 490, 172, 157, 27, 13, 0], [1, 3, 73, 29, 410, 182, 434, 242, 101, 55, 5, 1], [1, 3, 74, 20, 446, 98, 560, 116, 185, 19, 14, 0], [1, 3, 74, 21, 438, 126, 504, 186, 129, 47, 6, 1], [1, 3, 75, 12, 474, 42, 630, 60, 213, 11, 15, 0], [1, 3, 75, 13, 466, 70, 574, 130, 157, 39, 7, 1], [1, 3, 76, 5, 494, 14, 644, 74, 185, 31, 8, 1], [1, 3, 76, 6, 486, 42, 588, 144, 129, 59, 0, 2], [1, 4, 60, 96, 222, 504, 84, 480, 9, 68, 8, 0], [1, 4, 61, 88, 250, 448, 154, 424, 37, 60, 9, 0], [1, 4, 62, 80, 278, 392, 224, 368, 65, 52, 10, 0], [1, 4, 62, 81, 270, 420, 168, 438, 9, 80, 2, 1], [1, 4, 63, 72, 306, 336, 294, 312, 93, 44, 11, 0], [1, 4, 63, 73, 298, 364, 238, 382, 37, 72, 3, 1], [1, 4, 64, 64, 334, 280, 364, 256, 121, 36, 12, 0], [1, 4, 64, 65, 326, 308, 308, 326, 65, 64, 4, 1], [1, 4, 65, 56, 362, 224, 434, 200, 149, 28, 13, 0], [1, 4, 65, 57, 354, 252, 378, 270, 93, 56, 5, 1], [1, 4, 66, 48, 390, 168, 504, 144, 177, 20, 14, 0], [1, 4, 66, 49, 382, 196, 448, 214, 121, 48, 6, 1], [1, 4, 67, 40, 418, 112, 574, 88, 205, 12, 15, 0], [1, 4, 67, 41, 410, 140, 518, 158, 149, 40, 7, 1], [1, 4, 68, 32, 446, 56, 644, 32, 233, 4, 16, 0], [1, 4, 68, 33, 438, 84, 588, 102, 177, 32, 8, 1], [1, 4, 68, 34, 430, 112, 532, 172, 121, 60, 0, 2], [1, 4, 69, 25, 466, 28, 658, 46, 205, 24, 9, 1], [1, 4, 69, 26, 458, 56, 602, 116, 149, 52, 1, 2], [1, 4, 70, 18, 486, 0, 672, 60, 177, 44, 2, 2], [1, 5, 52, 124, 166, 574, 28, 508, 1, 69, 8, 0], [1, 5, 53, 116, 194, 518, 98, 452, 29, 61, 9, 0], [1, 5, 54, 108, 222, 462, 168, 396, 57, 53, 10, 0], [1, 5, 54, 109, 214, 490, 112, 466, 1, 81, 2, 1], [1, 5, 55, 100, 250, 406, 238, 340, 85, 45, 11, 0], [1, 5, 55, 101, 242, 434, 182, 410, 29, 73, 3, 1], [1, 5, 56, 92, 278, 350, 308, 284, 113, 37, 12, 0], [1, 5, 56, 93, 270, 378, 252, 354, 57, 65, 4, 1], [1, 5, 57, 84, 306, 294, 378, 228, 141, 29, 13, 0], [1, 5, 57, 85, 298, 322, 322, 298, 85, 57, 5, 1], [1, 5, 58, 76, 334, 238, 448, 172, 169, 21, 14, 0], [1, 5, 58, 77, 326, 266, 392, 242, 113, 49, 6, 1], [1, 5, 59, 68, 362, 182, 518, 116, 197, 13, 15, 0], [1, 5, 59, 69, 354, 210, 462, 186, 141, 41, 7, 1], [1, 5, 60, 60, 390, 126, 588, 60, 225, 5, 16, 0], [1, 5, 60, 61, 382, 154, 532, 130, 169, 33, 8, 1], [1, 5, 60, 62, 374, 182, 476, 200, 113, 61, 0, 2], [1, 5, 61, 53, 410, 98, 602, 74, 197, 25, 9, 1], [1, 5, 61, 54, 402, 126, 546, 144, 141, 53, 1, 2], [1, 5, 62, 45, 438, 42, 672, 18, 225, 17, 10, 1], [1, 5, 62, 46, 430, 70, 616, 88, 169, 45, 2, 2], [1, 5, 63, 38, 458, 14, 686, 32, 197, 37, 3, 2], [1, 6, 45, 144, 138, 588, 42, 480, 21, 62, 9, 0], [1, 6, 46, 136, 166, 532, 112, 424, 49, 54, 10, 0], [1, 6, 47, 128, 194, 476, 182, 368, 77, 46, 11, 0], [1, 6, 47, 129, 186, 504, 126, 438, 21, 74, 3, 1], [1, 6, 48, 120, 222, 420, 252, 312, 105, 38, 12, 0], [1, 6, 48, 121, 214, 448, 196, 382, 49, 66, 4, 1], [1, 6, 49, 112, 250, 364, 322, 256, 133, 30, 13, 0], [1, 6, 49, 113, 242, 392, 266, 326, 77, 58, 5, 1], [1, 6, 50, 104, 278, 308, 392, 200, 161, 22, 14, 0], [1, 6, 50, 105, 270, 336, 336, 270, 105, 50, 6, 1], [1, 6, 51, 96, 306, 252, 462, 144, 189, 14, 15, 0], [1, 6, 51, 97, 298, 280, 406, 214, 133, 42, 7, 1], [1, 6, 52, 88, 334, 196, 532, 88, 217, 6, 16, 0], [1, 6, 52, 89, 326, 224, 476, 158, 161, 34, 8, 1], [1, 6, 52, 90, 318, 252, 420, 228, 105, 62, 0, 2], [1, 6, 53, 81, 354, 168, 546, 102, 189, 26, 9, 1], [1, 6, 53, 82, 346, 196, 490, 172, 133, 54, 1, 2], [1, 6, 54, 73, 382, 112, 616, 46, 217, 18, 10, 1], [1, 6, 54, 74, 374, 140, 560, 116, 161, 46, 2, 2], [1, 6, 55, 66, 402, 84, 630, 60, 189, 38, 3, 2], [1, 6, 56, 58, 430, 28, 700, 4, 217, 30, 4, 2], [1, 7, 38, 164, 110, 602, 56, 452, 41, 55, 10, 0], [1, 7, 39, 156, 138, 546, 126, 396, 69, 47, 11, 0], [1, 7, 39, 157, 130, 574, 70, 466, 13, 75, 3, 1], [1, 7, 40, 148, 166, 490, 196, 340, 97, 39, 12, 0], [1, 7, 40, 149, 158, 518, 140, 410, 41, 67, 4, 1], [1, 7, 41, 140, 194, 434, 266, 284, 125, 31, 13, 0], [1, 7, 41, 141, 186, 462, 210, 354, 69, 59, 5, 1], [1, 7, 42, 132, 222, 378, 336, 228, 153, 23, 14, 0], [1, 7, 42, 133, 214, 406, 280, 298, 97, 51, 6, 1], [1, 7, 43, 124, 250, 322, 406, 172, 181, 15, 15, 0], [1, 7, 43, 125, 242, 350, 350, 242, 125, 43, 7, 1], [1, 7, 44, 116, 278, 266, 476, 116, 209, 7, 16, 0], [1, 7, 44, 117, 270, 294, 420, 186, 153, 35, 8, 1], [1, 7, 44, 118, 262, 322, 364, 256, 97, 63, 0, 2], [1, 7, 45, 109, 298, 238, 490, 130, 181, 27, 9, 1], [1, 7, 45, 110, 290, 266, 434, 200, 125, 55, 1, 2], [1, 7, 46, 101, 326, 182, 560, 74, 209, 19, 10, 1], [1, 7, 46, 102, 318, 210, 504, 144, 153, 47, 2, 2], [1, 7, 47, 93, 354, 126, 630, 18, 237, 11, 11, 1], [1, 7, 47, 94, 346, 154, 574, 88, 181, 39, 3, 2], [1, 7, 48, 86, 374, 98, 644, 32, 209, 31, 4, 2], [1, 8, 30, 192, 54, 672, 0, 480, 33, 56, 10, 0], [1, 8, 31, 184, 82, 616, 70, 424, 61, 48, 11, 0], [1, 8, 31, 185, 74, 644, 14, 494, 5, 76, 3, 1], [1, 8, 32, 176, 110, 560, 140, 368, 89, 40, 12, 0], [1, 8, 32, 177, 102, 588, 84, 438, 33, 68, 4, 1], [1, 8, 33, 168, 138, 504, 210, 312, 117, 32, 13, 0], [1, 8, 33, 169, 130, 532, 154, 382, 61, 60, 5, 1], [1, 8, 34, 160, 166, 448, 280, 256, 145, 24, 14, 0], [1, 8, 34, 161, 158, 476, 224, 326, 89, 52, 6, 1], [1, 8, 35, 152, 194, 392, 350, 200, 173, 16, 15, 0], [1, 8, 35, 153, 186, 420, 294, 270, 117, 44, 7, 1], [1, 8, 36, 144, 222, 336, 420, 144, 201, 8, 16, 0], [1, 8, 36, 145, 214, 364, 364, 214, 145, 36, 8, 1], [1, 8, 36, 146, 206, 392, 308, 284, 89, 64, 0, 2], [1, 8, 37, 136, 250, 280, 490, 88, 229, 0, 17, 0], [1, 8, 37, 137, 242, 308, 434, 158, 173, 28, 9, 1], [1, 8, 37, 138, 234, 336, 378, 228, 117, 56, 1, 2], [1, 8, 38, 129, 270, 252, 504, 102, 201, 20, 10, 1], [1, 8, 38, 130, 262, 280, 448, 172, 145, 48, 2, 2], [1, 8, 39, 121, 298, 196, 574, 46, 229, 12, 11, 1], [1, 8, 39, 122, 290, 224, 518, 116, 173, 40, 3, 2], [1, 8, 40, 114, 318, 168, 588, 60, 201, 32, 4, 2], [1, 8, 41, 106, 346, 112, 658, 4, 229, 24, 5, 2], [1, 9, 23, 212, 26, 686, 14, 452, 53, 49, 11, 0], [1, 9, 24, 204, 54, 630, 84, 396, 81, 41, 12, 0], [1, 9, 24, 205, 46, 658, 28, 466, 25, 69, 4, 1], [1, 9, 25, 196, 82, 574, 154, 340, 109, 33, 13, 0], [1, 9, 25, 197, 74, 602, 98, 410, 53, 61, 5, 1], [1, 9, 26, 188, 110, 518, 224, 284, 137, 25, 14, 0], [1, 9, 26, 189, 102, 546, 168, 354, 81, 53, 6, 1], [1, 9, 27, 180, 138, 462, 294, 228, 165, 17, 15, 0], [1, 9, 27, 181, 130, 490, 238, 298, 109, 45, 7, 1], [1, 9, 28, 172, 166, 406, 364, 172, 193, 9, 16, 0], [1, 9, 28, 173, 158, 434, 308, 242, 137, 37, 8, 1], [1, 9, 28, 174, 150, 462, 252, 312, 81, 65, 0, 2], [1, 9, 29, 164, 194, 350, 434, 116, 221, 1, 17, 0], [1, 9, 29, 165, 186, 378, 378, 186, 165, 29, 9, 1], [1, 9, 29, 166, 178, 406, 322, 256, 109, 57, 1, 2], [1, 9, 30, 157, 214, 322, 448, 130, 193, 21, 10, 1], [1, 9, 30, 158, 206, 350, 392, 200, 137, 49, 2, 2], [1, 9, 31, 149, 242, 266, 518, 74, 221, 13, 11, 1], [1, 9, 31, 150, 234, 294, 462, 144, 165, 41, 3, 2], [1, 9, 32, 141, 270, 210, 588, 18, 249, 5, 12, 1], [1, 9, 32, 142, 262, 238, 532, 88, 193, 33, 4, 2], [1, 9, 33, 134, 290, 182, 602, 32, 221, 25, 5, 2], [1, 10, 17, 224, 26, 644, 98, 368, 101, 34, 13, 0], [1, 10, 17, 225, 18, 672, 42, 438, 45, 62, 5, 1], [1, 10, 18, 216, 54, 588, 168, 312, 129, 26, 14, 0], [1, 10, 18, 217, 46, 616, 112, 382, 73, 54, 6, 1], [1, 10, 19, 208, 82, 532, 238, 256, 157, 18, 15, 0], [1, 10, 19, 209, 74, 560, 182, 326, 101, 46, 7, 1], [1, 10, 20, 200, 110, 476, 308, 200, 185, 10, 16, 0], [1, 10, 20, 201, 102, 504, 252, 270, 129, 38, 8, 1], [1, 10, 20, 202, 94, 532, 196, 340, 73, 66, 0, 2], [1, 10, 21, 192, 138, 420, 378, 144, 213, 2, 17, 0], [1, 10, 21, 193, 130, 448, 322, 214, 157, 30, 9, 1], [1, 10, 21, 194, 122, 476, 266, 284, 101, 58, 1, 2], [1, 10, 22, 185, 158, 392, 392, 158, 185, 22, 10, 1], [1, 10, 22, 186, 150, 420, 336, 228, 129, 50, 2, 2], [1, 10, 23, 177, 186, 336, 462, 102, 213, 14, 11, 1], [1, 10, 23, 178, 178, 364, 406, 172, 157, 42, 3, 2], [1, 10, 24, 169, 214, 280, 532, 46, 241, 6, 12, 1], [1, 10, 24, 170, 206, 308, 476, 116, 185, 34, 4, 2], [1, 10, 25, 162, 234, 252, 546, 60, 213, 26, 5, 2], [1, 10, 26, 154, 262, 196, 616, 4, 241, 18, 6, 2], [1, 11, 11, 236, 26, 602, 182, 284, 149, 19, 15, 0], [1, 11, 11, 237, 18, 630, 126, 354, 93, 47, 7, 1], [1, 11, 12, 228, 54, 546, 252, 228, 177, 11, 16, 0], [1, 11, 12, 229, 46, 574, 196, 298, 121, 39, 8, 1], [1, 11, 12, 230, 38, 602, 140, 368, 65, 67, 0, 2], [1, 11, 13, 220, 82, 490, 322, 172, 205, 3, 17, 0], [1, 11, 13, 221, 74, 518, 266, 242, 149, 31, 9, 1], [1, 11, 13, 222, 66, 546, 210, 312, 93, 59, 1, 2], [1, 11, 14, 213, 102, 462, 336, 186, 177, 23, 10, 1], [1, 11, 14, 214, 94, 490, 280, 256, 121, 51, 2, 2], [1, 11, 15, 205, 130, 406, 406, 130, 205, 15, 11, 1], [1, 11, 15, 206, 122, 434, 350, 200, 149, 43, 3, 2], [1, 11, 16, 197, 158, 350, 476, 74, 233, 7, 12, 1], [1, 11, 16, 198, 150, 378, 420, 144, 177, 35, 4, 2], [1, 11, 17, 190, 178, 322, 490, 88, 205, 27, 5, 2], [1, 11, 18, 182, 206, 266, 560, 32, 233, 19, 6, 2], [1, 12, 5, 248, 26, 560, 266, 200, 197, 4, 17, 0], [1, 12, 5, 249, 18, 588, 210, 270, 141, 32, 9, 1], [1, 12, 5, 250, 10, 616, 154, 340, 85, 60, 1, 2], [1, 12, 6, 241, 46, 532, 280, 214, 169, 24, 10, 1], [1, 12, 6, 242, 38, 560, 224, 284, 113, 52, 2, 2], [1, 12, 7, 233, 74, 476, 350, 158, 197, 16, 11, 1], [1, 12, 7, 234, 66, 504, 294, 228, 141, 44, 3, 2], [1, 12, 8, 225, 102, 420, 420, 102, 225, 8, 12, 1], [1, 12, 8, 226, 94, 448, 364, 172, 169, 36, 4, 2], [1, 12, 9, 217, 130, 364, 490, 46, 253, 0, 13, 1], [1, 12, 9, 218, 122, 392, 434, 116, 197, 28, 5, 2], [1, 12, 10, 210, 150, 336, 504, 60, 225, 20, 6, 2], [1, 12, 11, 202, 178, 280, 574, 4, 253, 12, 7, 2], [1, 12, 12, 195, 198, 252, 588, 18, 225, 32, 0, 3], [1, 13, 0, 253, 46, 490, 364, 130, 217, 9, 12, 1], [1, 13, 0, 254, 38, 518, 308, 200, 161, 37, 4, 2], [1, 13, 1, 245, 74, 434, 434, 74, 245, 1, 13, 1], [1, 13, 1, 246, 66, 462, 378, 144, 189, 29, 5, 2], [1, 13, 2, 238, 94, 406, 448, 88, 217, 21, 6, 2], [1, 13, 3, 230, 122, 350, 518, 32, 245, 13, 7, 2], [1, 13, 4, 223, 142, 322, 532, 46, 217, 33, 0, 3], [2, 0, 58, 136, 124, 616, 28, 472, 34, 56, 10, 0], [2, 0, 59, 128, 152, 560, 98, 416, 62, 48, 11, 0], [2, 0, 59, 129, 144, 588, 42, 486, 6, 76, 3, 1], [2, 0, 60, 120, 180, 504, 168, 360, 90, 40, 12, 0], [2, 0, 60, 121, 172, 532, 112, 430, 34, 68, 4, 1], [2, 0, 61, 112, 208, 448, 238, 304, 118, 32, 13, 0], [2, 0, 61, 113, 200, 476, 182, 374, 62, 60, 5, 1], [2, 0, 62, 104, 236, 392, 308, 248, 146, 24, 14, 0], [2, 0, 62, 105, 228, 420, 252, 318, 90, 52, 6, 1], [2, 0, 63, 96, 264, 336, 378, 192, 174, 16, 15, 0], [2, 0, 63, 97, 256, 364, 322, 262, 118, 44, 7, 1], [2, 0, 64, 88, 292, 280, 448, 136, 202, 8, 16, 0], [2, 0, 64, 89, 284, 308, 392, 206, 146, 36, 8, 1], [2, 0, 64, 90, 276, 336, 336, 276, 90, 64, 0, 2], [2, 0, 65, 80, 320, 224, 518, 80, 230, 0, 17, 0], [2, 0, 65, 81, 312, 252, 462, 150, 174, 28, 9, 1], [2, 0, 65, 82, 304, 280, 406, 220, 118, 56, 1, 2], [2, 0, 66, 73, 340, 196, 532, 94, 202, 20, 10, 1], [2, 0, 66, 74, 332, 224, 476, 164, 146, 48, 2, 2], [2, 0, 67, 65, 368, 140, 602, 38, 230, 12, 11, 1], [2, 0, 67, 66, 360, 168, 546, 108, 174, 40, 3, 2], [2, 0, 68, 58, 388, 112, 616, 52, 202, 32, 4, 2], [2, 1, 51, 156, 96, 630, 42, 444, 54, 49, 11, 0], [2, 1, 52, 148, 124, 574, 112, 388, 82, 41, 12, 0], [2, 1, 52, 149, 116, 602, 56, 458, 26, 69, 4, 1], [2, 1, 53, 140, 152, 518, 182, 332, 110, 33, 13, 0], [2, 1, 53, 141, 144, 546, 126, 402, 54, 61, 5, 1], [2, 1, 54, 132, 180, 462, 252, 276, 138, 25, 14, 0], [2, 1, 54, 133, 172, 490, 196, 346, 82, 53, 6, 1], [2, 1, 55, 124, 208, 406, 322, 220, 166, 17, 15, 0], [2, 1, 55, 125, 200, 434, 266, 290, 110, 45, 7, 1], [2, 1, 56, 116, 236, 350, 392, 164, 194, 9, 16, 0], [2, 1, 56, 117, 228, 378, 336, 234, 138, 37, 8, 1], [2, 1, 56, 118, 220, 406, 280, 304, 82, 65, 0, 2], [2, 1, 57, 108, 264, 294, 462, 108, 222, 1, 17, 0], [2, 1, 57, 109, 256, 322, 406, 178, 166, 29, 9, 1], [2, 1, 57, 110, 248, 350, 350, 248, 110, 57, 1, 2], [2, 1, 58, 101, 284, 266, 476, 122, 194, 21, 10, 1], [2, 1, 58, 102, 276, 294, 420, 192, 138, 49, 2, 2], [2, 1, 59, 93, 312, 210, 546, 66, 222, 13, 11, 1], [2, 1, 59, 94, 304, 238, 490, 136, 166, 41, 3, 2], [2, 1, 60, 85, 340, 154, 616, 10, 250, 5, 12, 1], [2, 1, 60, 86, 332, 182, 560, 80, 194, 33, 4, 2], [2, 1, 61, 78, 360, 126, 630, 24, 222, 25, 5, 2], [2, 2, 44, 176, 68, 644, 56, 416, 74, 42, 12, 0], [2, 2, 44, 177, 60, 672, 0, 486, 18, 70, 4, 1], [2, 2, 45, 168, 96, 588, 126, 360, 102, 34, 13, 0], [2, 2, 45, 169, 88, 616, 70, 430, 46, 62, 5, 1], [2, 2, 46, 160, 124, 532, 196, 304, 130, 26, 14, 0], [2, 2, 46, 161, 116, 560, 140, 374, 74, 54, 6, 1], [2, 2, 47, 152, 152, 476, 266, 248, 158, 18, 15, 0], [2, 2, 47, 153, 144, 504, 210, 318, 102, 46, 7, 1], [2, 2, 48, 144, 180, 420, 336, 192, 186, 10, 16, 0], [2, 2, 48, 145, 172, 448, 280, 262, 130, 38, 8, 1], [2, 2, 48, 146, 164, 476, 224, 332, 74, 66, 0, 2], [2, 2, 49, 136, 208, 364, 406, 136, 214, 2, 17, 0], [2, 2, 49, 137, 200, 392, 350, 206, 158, 30, 9, 1], [2, 2, 49, 138, 192, 420, 294, 276, 102, 58, 1, 2], [2, 2, 50, 129, 228, 336, 420, 150, 186, 22, 10, 1], [2, 2, 50, 130, 220, 364, 364, 220, 130, 50, 2, 2], [2, 2, 51, 121, 256, 280, 490, 94, 214, 14, 11, 1], [2, 2, 51, 122, 248, 308, 434, 164, 158, 42, 3, 2], [2, 2, 52, 113, 284, 224, 560, 38, 242, 6, 12, 1], [2, 2, 52, 114, 276, 252, 504, 108, 186, 34, 4, 2], [2, 2, 53, 106, 304, 196, 574, 52, 214, 26, 5, 2], [2, 3, 36, 204, 12, 714, 0, 444, 66, 43, 12, 0], [2, 3, 37, 196, 40, 658, 70, 388, 94, 35, 13, 0], [2, 3, 37, 197, 32, 686, 14, 458, 38, 63, 5, 1], [2, 3, 38, 188, 68, 602, 140, 332, 122, 27, 14, 0], [2, 3, 38, 189, 60, 630, 84, 402, 66, 55, 6, 1], [2, 3, 39, 180, 96, 546, 210, 276, 150, 19, 15, 0], [2, 3, 39, 181, 88, 574, 154, 346, 94, 47, 7, 1], [2, 3, 40, 172, 124, 490, 280, 220, 178, 11, 16, 0], [2, 3, 40, 173, 116, 518, 224, 290, 122, 39, 8, 1], [2, 3, 40, 174, 108, 546, 168, 360, 66, 67, 0, 2], [2, 3, 41, 164, 152, 434, 350, 164, 206, 3, 17, 0], [2, 3, 41, 165, 144, 462, 294, 234, 150, 31, 9, 1], [2, 3, 41, 166, 136, 490, 238, 304, 94, 59, 1, 2], [2, 3, 42, 157, 172, 406, 364, 178, 178, 23, 10, 1], [2, 3, 42, 158, 164, 434, 308, 248, 122, 51, 2, 2], [2, 3, 43, 149, 200, 350, 434, 122, 206, 15, 11, 1], [2, 3, 43, 150, 192, 378, 378, 192, 150, 43, 3, 2], [2, 3, 44, 141, 228, 294, 504, 66, 234, 7, 12, 1], [2, 3, 44, 142, 220, 322, 448, 136, 178, 35, 4, 2], [2, 3, 45, 134, 248, 266, 518, 80, 206, 27, 5, 2], [2, 3, 46, 126, 276, 210, 588, 24, 234, 19, 6, 2], [2, 4, 30, 216, 12, 672, 84, 360, 114, 28, 14, 0], [2, 4, 30, 217, 4, 700, 28, 430, 58, 56, 6, 1], [2, 4, 31, 208, 40, 616, 154, 304, 142, 20, 15, 0], [2, 4, 31, 209, 32, 644, 98, 374, 86, 48, 7, 1], [2, 4, 32, 200, 68, 560, 224, 248, 170, 12, 16, 0], [2, 4, 32, 201, 60, 588, 168, 318, 114, 40, 8, 1], [2, 4, 32, 202, 52, 616, 112, 388, 58, 68, 0, 2], [2, 4, 33, 192, 96, 504, 294, 192, 198, 4, 17, 0], [2, 4, 33, 193, 88, 532, 238, 262, 142, 32, 9, 1], [2, 4, 33, 194, 80, 560, 182, 332, 86, 60, 1, 2], [2, 4, 34, 185, 116, 476, 308, 206, 170, 24, 10, 1], [2, 4, 34, 186, 108, 504, 252, 276, 114, 52, 2, 2], [2, 4, 35, 177, 144, 420, 378, 150, 198, 16, 11, 1], [2, 4, 35, 178, 136, 448, 322, 220, 142, 44, 3, 2], [2, 4, 36, 169, 172, 364, 448, 94, 226, 8, 12, 1], [2, 4, 36, 170, 164, 392, 392, 164, 170, 36, 4, 2], [2, 4, 37, 161, 200, 308, 518, 38, 254, 0, 13, 1], [2, 4, 37, 162, 192, 336, 462, 108, 198, 28, 5, 2], [2, 4, 38, 154, 220, 280, 532, 52, 226, 20, 6, 2], [2, 4, 40, 139, 268, 196, 616, 10, 226, 32, 0, 3], [2, 5, 24, 228, 12, 630, 168, 276, 162, 13, 16, 0], [2, 5, 24, 229, 4, 658, 112, 346, 106, 41, 8, 1], [2, 5, 25, 220, 40, 574, 238, 220, 190, 5, 17, 0], [2, 5, 25, 221, 32, 602, 182, 290, 134, 33, 9, 1], [2, 5, 25, 222, 24, 630, 126, 360, 78, 61, 1, 2], [2, 5, 26, 213, 60, 546, 252, 234, 162, 25, 10, 1], [2, 5, 26, 214, 52, 574, 196, 304, 106, 53, 2, 2], [2, 5, 27, 205, 88, 490, 322, 178, 190, 17, 11, 1], [2, 5, 27, 206, 80, 518, 266, 248, 134, 45, 3, 2], [2, 5, 28, 197, 116, 434, 392, 122, 218, 9, 12, 1], [2, 5, 28, 198, 108, 462, 336, 192, 162, 37, 4, 2], [2, 5, 29, 189, 144, 378, 462, 66, 246, 1, 13, 1], [2, 5, 29, 190, 136, 406, 406, 136, 190, 29, 5, 2], [2, 5, 30, 182, 164, 350, 476, 80, 218, 21, 6, 2], [2, 5, 31, 174, 192, 294, 546, 24, 246, 13, 7, 2], [2, 5, 32, 167, 212, 266, 560, 38, 218, 33, 0, 3], [2, 6, 18, 241, 4, 616, 196, 262, 154, 26, 10, 1], [2, 6, 19, 233, 32, 560, 266, 206, 182, 18, 11, 1], [2, 6, 19, 234, 24, 588, 210, 276, 126, 46, 3, 2], [2, 6, 20, 225, 60, 504, 336, 150, 210, 10, 12, 1], [2, 6, 20, 226, 52, 532, 280, 220, 154, 38, 4, 2], [2, 6, 21, 217, 88, 448, 406, 94, 238, 2, 13, 1], [2, 6, 21, 218, 80, 476, 350, 164, 182, 30, 5, 2], [2, 6, 22, 210, 108, 420, 420, 108, 210, 22, 6, 2], [2, 6, 23, 202, 136, 364, 490, 52, 238, 14, 7, 2], [2, 6, 24, 195, 156, 336, 504, 66, 210, 34, 0, 3], [2, 6, 25, 187, 184, 280, 574, 10, 238, 26, 1, 3], [2, 7, 12, 253, 4, 574, 280, 178, 202, 11, 12, 1], [2, 7, 13, 245, 32, 518, 350, 122, 230, 3, 13, 1], [2, 7, 13, 246, 24, 546, 294, 192, 174, 31, 5, 2], [2, 7, 14, 238, 52, 490, 364, 136, 202, 23, 6, 2], [2, 7, 15, 230, 80, 434, 434, 80, 230, 15, 7, 2], [2, 7, 16, 222, 108, 378, 504, 24, 258, 7, 8, 2], [2, 7, 16, 223, 100, 406, 448, 94, 202, 35, 0, 3], [2, 7, 17, 215, 128, 350, 518, 38, 230, 27, 1, 3], [2, 8, 7, 258, 24, 504, 378, 108, 222, 16, 7, 2], [2, 8, 8, 250, 52, 448, 448, 52, 250, 8, 8, 2], [2, 8, 8, 251, 44, 476, 392, 122, 194, 36, 0, 3], [2, 8, 9, 243, 72, 420, 462, 66, 222, 28, 1, 3], [2, 8, 10, 235, 100, 364, 532, 10, 250, 20, 2, 3], [2, 9, 1, 270, 24, 462, 462, 24, 270, 1, 9, 2], [2, 9, 1, 271, 16, 490, 406, 94, 214, 29, 1, 3], [2, 9, 2, 263, 44, 434, 476, 38, 242, 21, 2, 3], [3, 0, 32, 225, 18, 588, 252, 198, 195, 12, 12, 1], [3, 0, 32, 226, 10, 616, 196, 268, 139, 40, 4, 2], [3, 0, 33, 217, 46, 532, 322, 142, 223, 4, 13, 1], [3, 0, 33, 218, 38, 560, 266, 212, 167, 32, 5, 2], [3, 0, 34, 210, 66, 504, 336, 156, 195, 24, 6, 2], [3, 0, 35, 202, 94, 448, 406, 100, 223, 16, 7, 2], [3, 0, 36, 194, 122, 392, 476, 44, 251, 8, 8, 2], [3, 0, 36, 195, 114, 420, 420, 114, 195, 36, 0, 3], [3, 0, 37, 187, 142, 364, 490, 58, 223, 28, 1, 3], [3, 0, 38, 179, 170, 308, 560, 2, 251, 20, 2, 3], [3, 1, 26, 238, 10, 574, 280, 184, 187, 25, 6, 2], [3, 1, 27, 230, 38, 518, 350, 128, 215, 17, 7, 2], [3, 1, 28, 222, 66, 462, 420, 72, 243, 9, 8, 2], [3, 1, 28, 223, 58, 490, 364, 142, 187, 37, 0, 3], [3, 1, 29, 214, 94, 406, 490, 16, 271, 1, 9, 2], [3, 1, 29, 215, 86, 434, 434, 86, 215, 29, 1, 3], [3, 1, 30, 207, 114, 378, 504, 30, 243, 21, 2, 3], [3, 2, 20, 250, 10, 532, 364, 100, 235, 10, 8, 2], [3, 2, 20, 251, 2, 560, 308, 170, 179, 38, 0, 3], [3, 2, 21, 242, 38, 476, 434, 44, 263, 2, 9, 2], [3, 2, 21, 243, 30, 504, 378, 114, 207, 30, 1, 3], [3, 2, 22, 235, 58, 448, 448, 58, 235, 22, 2, 3], [3, 2, 23, 227, 86, 392, 518, 2, 263, 14, 3, 3], [3, 3, 14, 263, 2, 518, 392, 86, 227, 23, 2, 3], [3, 3, 15, 255, 30, 462, 462, 30, 255, 15, 3, 3], [3, 4, 8, 275, 2, 476, 476, 2, 275, 8, 4, 3]}
(12, 1536, 7) has 931 possible DDs: {[1, 0, 30, 122, 14, 608, 56, 404, 233, 16, 50, 2, 0], [1, 0, 30, 123, 6, 636, 0, 474, 177, 44, 42, 3, 0], [1, 0, 31, 114, 42, 552, 126, 348, 261, 8, 51, 2, 0], [1, 0, 31, 115, 34, 580, 70, 418, 205, 36, 43, 3, 0], [1, 0, 31, 116, 26, 608, 14, 488, 149, 64, 35, 4, 0], [1, 0, 32, 106, 70, 496, 196, 292, 289, 0, 52, 2, 0], [1, 0, 32, 107, 62, 524, 140, 362, 233, 28, 44, 3, 0], [1, 0, 32, 108, 54, 552, 84, 432, 177, 56, 36, 4, 0], [1, 0, 32, 109, 46, 580, 28, 502, 121, 84, 28, 5, 0], [1, 0, 33, 99, 90, 468, 210, 306, 261, 20, 45, 3, 0], [1, 0, 33, 100, 82, 496, 154, 376, 205, 48, 37, 4, 0], [1, 0, 33, 101, 74, 524, 98, 446, 149, 76, 29, 5, 0], [1, 0, 33, 102, 66, 552, 42, 516, 93, 104, 21, 6, 0], [1, 0, 34, 91, 118, 412, 280, 250, 289, 12, 46, 3, 0], [1, 0, 34, 92, 110, 440, 224, 320, 233, 40, 38, 4, 0], [1, 0, 34, 93, 102, 468, 168, 390, 177, 68, 30, 5, 0], [1, 0, 34, 94, 94, 496, 112, 460, 121, 96, 22, 6, 0], [1, 0, 34, 95, 86, 524, 56, 530, 65, 124, 14, 7, 0], [1, 0, 34, 96, 78, 552, 0, 600, 9, 152, 6, 8, 0], [1, 0, 34, 96, 79, 544, 28, 544, 79, 96, 34, 0, 1], [1, 0, 35, 83, 146, 356, 350, 194, 317, 4, 47, 3, 0], [1, 0, 35, 84, 138, 384, 294, 264, 261, 32, 39, 4, 0], [1, 0, 35, 85, 130, 412, 238, 334, 205, 60, 31, 5, 0], [1, 0, 35, 86, 122, 440, 182, 404, 149, 88, 23, 6, 0], [1, 0, 35, 87, 114, 468, 126, 474, 93, 116, 15, 7, 0], [1, 0, 35, 88, 106, 496, 70, 544, 37, 144, 7, 8, 0], [1, 0, 35, 88, 107, 488, 98, 488, 107, 88, 35, 0, 1], [1, 0, 35, 89, 99, 516, 42, 558, 51, 116, 27, 1, 1], [1, 0, 36, 76, 166, 328, 364, 208, 289, 24, 40, 4, 0], [1, 0, 36, 77, 158, 356, 308, 278, 233, 52, 32, 5, 0], [1, 0, 36, 78, 150, 384, 252, 348, 177, 80, 24, 6, 0], [1, 0, 36, 79, 142, 412, 196, 418, 121, 108, 16, 7, 0], [1, 0, 36, 80, 134, 440, 140, 488, 65, 136, 8, 8, 0], [1, 0, 36, 80, 135, 432, 168, 432, 135, 80, 36, 0, 1], [1, 0, 36, 81, 126, 468, 84, 558, 9, 164, 0, 9, 0], [1, 0, 36, 81, 127, 460, 112, 502, 79, 108, 28, 1, 1], [1, 0, 36, 82, 119, 488, 56, 572, 23, 136, 20, 2, 1], [1, 0, 37, 68, 194, 272, 434, 152, 317, 16, 41, 4, 0], [1, 0, 37, 69, 186, 300, 378, 222, 261, 44, 33, 5, 0], [1, 0, 37, 70, 178, 328, 322, 292, 205, 72, 25, 6, 0], [1, 0, 37, 71, 170, 356, 266, 362, 149, 100, 17, 7, 0], [1, 0, 37, 72, 162, 384, 210, 432, 93, 128, 9, 8, 0], [1, 0, 37, 72, 163, 376, 238, 376, 163, 72, 37, 0, 1], [1, 0, 37, 73, 154, 412, 154, 502, 37, 156, 1, 9, 0], [1, 0, 37, 73, 155, 404, 182, 446, 107, 100, 29, 1, 1], [1, 0, 37, 74, 147, 432, 126, 516, 51, 128, 21, 2, 1], [1, 0, 38, 60, 222, 216, 504, 96, 345, 8, 42, 4, 0], [1, 0, 38, 61, 214, 244, 448, 166, 289, 36, 34, 5, 0], [1, 0, 38, 62, 206, 272, 392, 236, 233, 64, 26, 6, 0], [1, 0, 38, 63, 198, 300, 336, 306, 177, 92, 18, 7, 0], [1, 0, 38, 64, 190, 328, 280, 376, 121, 120, 10, 8, 0], [1, 0, 38, 64, 191, 320, 308, 320, 191, 64, 38, 0, 1], [1, 0, 38, 65, 182, 356, 224, 446, 65, 148, 2, 9, 0], [1, 0, 38, 65, 183, 348, 252, 390, 135, 92, 30, 1, 1], [1, 0, 38, 66, 175, 376, 196, 460, 79, 120, 22, 2, 1], [1, 0, 38, 67, 167, 404, 140, 530, 23, 148, 14, 3, 1], [1, 0, 39, 52, 250, 160, 574, 40, 373, 0, 43, 4, 0], [1, 0, 39, 53, 242, 188, 518, 110, 317, 28, 35, 5, 0], [1, 0, 39, 54, 234, 216, 462, 180, 261, 56, 27, 6, 0], [1, 0, 39, 55, 226, 244, 406, 250, 205, 84, 19, 7, 0], [1, 0, 39, 56, 218, 272, 350, 320, 149, 112, 11, 8, 0], [1, 0, 39, 56, 219, 264, 378, 264, 219, 56, 39, 0, 1], [1, 0, 39, 57, 210, 300, 294, 390, 93, 140, 3, 9, 0], [1, 0, 39, 57, 211, 292, 322, 334, 163, 84, 31, 1, 1], [1, 0, 39, 58, 203, 320, 266, 404, 107, 112, 23, 2, 1], [1, 0, 39, 59, 195, 348, 210, 474, 51, 140, 15, 3, 1], [1, 0, 40, 45, 270, 132, 588, 54, 345, 20, 36, 5, 0], [1, 0, 40, 46, 262, 160, 532, 124, 289, 48, 28, 6, 0], [1, 0, 40, 47, 254, 188, 476, 194, 233, 76, 20, 7, 0], [1, 0, 40, 48, 246, 216, 420, 264, 177, 104, 12, 8, 0], [1, 0, 40, 48, 247, 208, 448, 208, 247, 48, 40, 0, 1], [1, 0, 40, 49, 238, 244, 364, 334, 121, 132, 4, 9, 0], [1, 0, 40, 49, 239, 236, 392, 278, 191, 76, 32, 1, 1], [1, 0, 40, 50, 231, 264, 336, 348, 135, 104, 24, 2, 1], [1, 0, 40, 51, 223, 292, 280, 418, 79, 132, 16, 3, 1], [1, 0, 40, 52, 215, 320, 224, 488, 23, 160, 8, 4, 1], [1, 0, 41, 38, 290, 104, 602, 68, 317, 40, 29, 6, 0], [1, 0, 41, 39, 282, 132, 546, 138, 261, 68, 21, 7, 0], [1, 0, 41, 40, 274, 160, 490, 208, 205, 96, 13, 8, 0], [1, 0, 41, 40, 275, 152, 518, 152, 275, 40, 41, 0, 1], [1, 0, 41, 41, 266, 188, 434, 278, 149, 124, 5, 9, 0], [1, 0, 41, 41, 267, 180, 462, 222, 219, 68, 33, 1, 1], [1, 0, 41, 42, 259, 208, 406, 292, 163, 96, 25, 2, 1], [1, 0, 41, 43, 251, 236, 350, 362, 107, 124, 17, 3, 1], [1, 0, 41, 44, 243, 264, 294, 432, 51, 152, 9, 4, 1], [1, 0, 42, 30, 318, 48, 672, 12, 345, 32, 30, 6, 0], [1, 0, 42, 31, 310, 76, 616, 82, 289, 60, 22, 7, 0], [1, 0, 42, 32, 302, 104, 560, 152, 233, 88, 14, 8, 0], [1, 0, 42, 32, 303, 96, 588, 96, 303, 32, 42, 0, 1], [1, 0, 42, 33, 294, 132, 504, 222, 177, 116, 6, 9, 0], [1, 0, 42, 33, 295, 124, 532, 166, 247, 60, 34, 1, 1], [1, 0, 42, 34, 287, 152, 476, 236, 191, 88, 26, 2, 1], [1, 0, 42, 35, 279, 180, 420, 306, 135, 116, 18, 3, 1], [1, 0, 42, 36, 271, 208, 364, 376, 79, 144, 10, 4, 1], [1, 0, 42, 37, 263, 236, 308, 446, 23, 172, 2, 5, 1], [1, 0, 43, 23, 338, 20, 686, 26, 317, 52, 23, 7, 0], [1, 0, 43, 24, 330, 48, 630, 96, 261, 80, 15, 8, 0], [1, 0, 43, 24, 331, 40, 658, 40, 331, 24, 43, 0, 1], [1, 0, 43, 25, 322, 76, 574, 166, 205, 108, 7, 9, 0], [1, 0, 43, 25, 323, 68, 602, 110, 275, 52, 35, 1, 1], [1, 0, 43, 26, 315, 96, 546, 180, 219, 80, 27, 2, 1], [1, 0, 43, 27, 307, 124, 490, 250, 163, 108, 19, 3, 1], [1, 0, 43, 28, 299, 152, 434, 320, 107, 136, 11, 4, 1], [1, 0, 43, 29, 291, 180, 378, 390, 51, 164, 3, 5, 1], [1, 0, 44, 17, 350, 20, 644, 110, 233, 100, 8, 9, 0], [1, 0, 44, 17, 351, 12, 672, 54, 303, 44, 36, 1, 1], [1, 0, 44, 18, 342, 48, 588, 180, 177, 128, 0, 10, 0], [1, 0, 44, 18, 343, 40, 616, 124, 247, 72, 28, 2, 1], [1, 0, 44, 19, 335, 68, 560, 194, 191, 100, 20, 3, 1], [1, 0, 44, 20, 327, 96, 504, 264, 135, 128, 12, 4, 1], [1, 0, 44, 21, 319, 124, 448, 334, 79, 156, 4, 5, 1], [1, 0, 45, 11, 363, 12, 630, 138, 219, 92, 21, 3, 1], [1, 0, 45, 12, 355, 40, 574, 208, 163, 120, 13, 4, 1], [1, 0, 45, 13, 347, 68, 518, 278, 107, 148, 5, 5, 1], [1, 0, 45, 16, 324, 144, 378, 432, 9, 176, 9, 0, 2], [1, 0, 46, 5, 375, 12, 588, 222, 135, 140, 6, 5, 1], [1, 0, 46, 8, 352, 88, 448, 376, 37, 168, 10, 0, 2], [1, 0, 47, 0, 380, 32, 518, 320, 65, 160, 11, 0, 2], [1, 0, 47, 1, 372, 60, 462, 390, 9, 188, 3, 1, 2], [1, 1, 24, 134, 14, 566, 140, 320, 281, 1, 52, 2, 0], [1, 1, 24, 135, 6, 594, 84, 390, 225, 29, 44, 3, 0], [1, 1, 25, 127, 34, 538, 154, 334, 253, 21, 45, 3, 0], [1, 1, 25, 128, 26, 566, 98, 404, 197, 49, 37, 4, 0], [1, 1, 25, 129, 18, 594, 42, 474, 141, 77, 29, 5, 0], [1, 1, 26, 119, 62, 482, 224, 278, 281, 13, 46, 3, 0], [1, 1, 26, 120, 54, 510, 168, 348, 225, 41, 38, 4, 0], [1, 1, 26, 121, 46, 538, 112, 418, 169, 69, 30, 5, 0], [1, 1, 26, 122, 38, 566, 56, 488, 113, 97, 22, 6, 0], [1, 1, 26, 123, 30, 594, 0, 558, 57, 125, 14, 7, 0], [1, 1, 27, 111, 90, 426, 294, 222, 309, 5, 47, 3, 0], [1, 1, 27, 112, 82, 454, 238, 292, 253, 33, 39, 4, 0], [1, 1, 27, 113, 74, 482, 182, 362, 197, 61, 31, 5, 0], [1, 1, 27, 114, 66, 510, 126, 432, 141, 89, 23, 6, 0], [1, 1, 27, 115, 58, 538, 70, 502, 85, 117, 15, 7, 0], [1, 1, 27, 116, 50, 566, 14, 572, 29, 145, 7, 8, 0], [1, 1, 27, 116, 51, 558, 42, 516, 99, 89, 35, 0, 1], [1, 1, 28, 104, 110, 398, 308, 236, 281, 25, 40, 4, 0], [1, 1, 28, 105, 102, 426, 252, 306, 225, 53, 32, 5, 0], [1, 1, 28, 106, 94, 454, 196, 376, 169, 81, 24, 6, 0], [1, 1, 28, 107, 86, 482, 140, 446, 113, 109, 16, 7, 0], [1, 1, 28, 108, 78, 510, 84, 516, 57, 137, 8, 8, 0], [1, 1, 28, 108, 79, 502, 112, 460, 127, 81, 36, 0, 1], [1, 1, 28, 109, 70, 538, 28, 586, 1, 165, 0, 9, 0], [1, 1, 28, 109, 71, 530, 56, 530, 71, 109, 28, 1, 1], [1, 1, 28, 110, 63, 558, 0, 600, 15, 137, 20, 2, 1], [1, 1, 29, 96, 138, 342, 378, 180, 309, 17, 41, 4, 0], [1, 1, 29, 97, 130, 370, 322, 250, 253, 45, 33, 5, 0], [1, 1, 29, 98, 122, 398, 266, 320, 197, 73, 25, 6, 0], [1, 1, 29, 99, 114, 426, 210, 390, 141, 101, 17, 7, 0], [1, 1, 29, 100, 106, 454, 154, 460, 85, 129, 9, 8, 0], [1, 1, 29, 100, 107, 446, 182, 404, 155, 73, 37, 0, 1], [1, 1, 29, 101, 98, 482, 98, 530, 29, 157, 1, 9, 0], [1, 1, 29, 101, 99, 474, 126, 474, 99, 101, 29, 1, 1], [1, 1, 29, 102, 91, 502, 70, 544, 43, 129, 21, 2, 1], [1, 1, 30, 88, 166, 286, 448, 124, 337, 9, 42, 4, 0], [1, 1, 30, 89, 158, 314, 392, 194, 281, 37, 34, 5, 0], [1, 1, 30, 90, 150, 342, 336, 264, 225, 65, 26, 6, 0], [1, 1, 30, 91, 142, 370, 280, 334, 169, 93, 18, 7, 0], [1, 1, 30, 92, 134, 398, 224, 404, 113, 121, 10, 8, 0], [1, 1, 30, 92, 135, 390, 252, 348, 183, 65, 38, 0, 1], [1, 1, 30, 93, 126, 426, 168, 474, 57, 149, 2, 9, 0], [1, 1, 30, 93, 127, 418, 196, 418, 127, 93, 30, 1, 1], [1, 1, 30, 94, 119, 446, 140, 488, 71, 121, 22, 2, 1], [1, 1, 30, 95, 111, 474, 84, 558, 15, 149, 14, 3, 1], [1, 1, 31, 80, 194, 230, 518, 68, 365, 1, 43, 4, 0], [1, 1, 31, 81, 186, 258, 462, 138, 309, 29, 35, 5, 0], [1, 1, 31, 82, 178, 286, 406, 208, 253, 57, 27, 6, 0], [1, 1, 31, 83, 170, 314, 350, 278, 197, 85, 19, 7, 0], [1, 1, 31, 84, 162, 342, 294, 348, 141, 113, 11, 8, 0], [1, 1, 31, 84, 163, 334, 322, 292, 211, 57, 39, 0, 1], [1, 1, 31, 85, 154, 370, 238, 418, 85, 141, 3, 9, 0], [1, 1, 31, 85, 155, 362, 266, 362, 155, 85, 31, 1, 1], [1, 1, 31, 86, 147, 390, 210, 432, 99, 113, 23, 2, 1], [1, 1, 31, 87, 139, 418, 154, 502, 43, 141, 15, 3, 1], [1, 1, 32, 73, 214, 202, 532, 82, 337, 21, 36, 5, 0], [1, 1, 32, 74, 206, 230, 476, 152, 281, 49, 28, 6, 0], [1, 1, 32, 75, 198, 258, 420, 222, 225, 77, 20, 7, 0], [1, 1, 32, 76, 190, 286, 364, 292, 169, 105, 12, 8, 0], [1, 1, 32, 76, 191, 278, 392, 236, 239, 49, 40, 0, 1], [1, 1, 32, 77, 182, 314, 308, 362, 113, 133, 4, 9, 0], [1, 1, 32, 77, 183, 306, 336, 306, 183, 77, 32, 1, 1], [1, 1, 32, 78, 175, 334, 280, 376, 127, 105, 24, 2, 1], [1, 1, 32, 79, 167, 362, 224, 446, 71, 133, 16, 3, 1], [1, 1, 32, 80, 159, 390, 168, 516, 15, 161, 8, 4, 1], [1, 1, 33, 65, 242, 146, 602, 26, 365, 13, 37, 5, 0], [1, 1, 33, 66, 234, 174, 546, 96, 309, 41, 29, 6, 0], [1, 1, 33, 67, 226, 202, 490, 166, 253, 69, 21, 7, 0], [1, 1, 33, 68, 218, 230, 434, 236, 197, 97, 13, 8, 0], [1, 1, 33, 68, 219, 222, 462, 180, 267, 41, 41, 0, 1], [1, 1, 33, 69, 210, 258, 378, 306, 141, 125, 5, 9, 0], [1, 1, 33, 69, 211, 250, 406, 250, 211, 69, 33, 1, 1], [1, 1, 33, 70, 203, 278, 350, 320, 155, 97, 25, 2, 1], [1, 1, 33, 71, 195, 306, 294, 390, 99, 125, 17, 3, 1], [1, 1, 33, 72, 187, 334, 238, 460, 43, 153, 9, 4, 1], [1, 1, 34, 58, 262, 118, 616, 40, 337, 33, 30, 6, 0], [1, 1, 34, 59, 254, 146, 560, 110, 281, 61, 22, 7, 0], [1, 1, 34, 60, 246, 174, 504, 180, 225, 89, 14, 8, 0], [1, 1, 34, 60, 247, 166, 532, 124, 295, 33, 42, 0, 1], [1, 1, 34, 61, 238, 202, 448, 250, 169, 117, 6, 9, 0], [1, 1, 34, 61, 239, 194, 476, 194, 239, 61, 34, 1, 1], [1, 1, 34, 62, 231, 222, 420, 264, 183, 89, 26, 2, 1], [1, 1, 34, 63, 223, 250, 364, 334, 127, 117, 18, 3, 1], [1, 1, 34, 64, 215, 278, 308, 404, 71, 145, 10, 4, 1], [1, 1, 34, 65, 207, 306, 252, 474, 15, 173, 2, 5, 1], [1, 1, 35, 51, 282, 90, 630, 54, 309, 53, 23, 7, 0], [1, 1, 35, 52, 274, 118, 574, 124, 253, 81, 15, 8, 0], [1, 1, 35, 52, 275, 110, 602, 68, 323, 25, 43, 0, 1], [1, 1, 35, 53, 266, 146, 518, 194, 197, 109, 7, 9, 0], [1, 1, 35, 53, 267, 138, 546, 138, 267, 53, 35, 1, 1], [1, 1, 35, 54, 259, 166, 490, 208, 211, 81, 27, 2, 1], [1, 1, 35, 55, 251, 194, 434, 278, 155, 109, 19, 3, 1], [1, 1, 35, 56, 243, 222, 378, 348, 99, 137, 11, 4, 1], [1, 1, 35, 57, 235, 250, 322, 418, 43, 165, 3, 5, 1], [1, 1, 36, 44, 302, 62, 644, 68, 281, 73, 16, 8, 0], [1, 1, 36, 44, 303, 54, 672, 12, 351, 17, 44, 0, 1], [1, 1, 36, 45, 294, 90, 588, 138, 225, 101, 8, 9, 0], [1, 1, 36, 45, 295, 82, 616, 82, 295, 45, 36, 1, 1], [1, 1, 36, 46, 286, 118, 532, 208, 169, 129, 0, 10, 0], [1, 1, 36, 46, 287, 110, 560, 152, 239, 73, 28, 2, 1], [1, 1, 36, 47, 279, 138, 504, 222, 183, 101, 20, 3, 1], [1, 1, 36, 48, 271, 166, 448, 292, 127, 129, 12, 4, 1], [1, 1, 36, 49, 263, 194, 392, 362, 71, 157, 4, 5, 1], [1, 1, 37, 36, 330, 6, 714, 12, 309, 65, 17, 8, 0], [1, 1, 37, 37, 322, 34, 658, 82, 253, 93, 9, 9, 0], [1, 1, 37, 37, 323, 26, 686, 26, 323, 37, 37, 1, 1], [1, 1, 37, 38, 314, 62, 602, 152, 197, 121, 1, 10, 0], [1, 1, 37, 38, 315, 54, 630, 96, 267, 65, 29, 2, 1], [1, 1, 37, 39, 307, 82, 574, 166, 211, 93, 21, 3, 1], [1, 1, 37, 40, 299, 110, 518, 236, 155, 121, 13, 4, 1], [1, 1, 37, 41, 291, 138, 462, 306, 99, 149, 5, 5, 1], [1, 1, 37, 44, 268, 214, 322, 460, 1, 177, 9, 0, 2], [1, 1, 38, 30, 342, 6, 672, 96, 225, 113, 2, 10, 0], [1, 1, 38, 31, 335, 26, 644, 110, 239, 85, 22, 3, 1], [1, 1, 38, 32, 327, 54, 588, 180, 183, 113, 14, 4, 1], [1, 1, 38, 33, 319, 82, 532, 250, 127, 141, 6, 5, 1], [1, 1, 38, 36, 296, 158, 392, 404, 29, 169, 10, 0, 2], [1, 1, 39, 25, 347, 26, 602, 194, 155, 133, 7, 5, 1], [1, 1, 39, 28, 324, 102, 462, 348, 57, 161, 11, 0, 2], [1, 1, 39, 29, 316, 130, 406, 418, 1, 189, 3, 1, 2], [1, 1, 40, 20, 352, 46, 532, 292, 85, 153, 12, 0, 2], [1, 1, 40, 21, 344, 74, 476, 362, 29, 181, 4, 1, 2], [1, 1, 41, 13, 372, 18, 546, 306, 57, 173, 5, 1, 2], [1, 2, 18, 147, 6, 552, 168, 306, 273, 14, 46, 3, 0], [1, 2, 19, 139, 34, 496, 238, 250, 301, 6, 47, 3, 0], [1, 2, 19, 140, 26, 524, 182, 320, 245, 34, 39, 4, 0], [1, 2, 19, 141, 18, 552, 126, 390, 189, 62, 31, 5, 0], [1, 2, 19, 142, 10, 580, 70, 460, 133, 90, 23, 6, 0], [1, 2, 19, 143, 2, 608, 14, 530, 77, 118, 15, 7, 0], [1, 2, 20, 132, 54, 468, 252, 264, 273, 26, 40, 4, 0], [1, 2, 20, 133, 46, 496, 196, 334, 217, 54, 32, 5, 0], [1, 2, 20, 134, 38, 524, 140, 404, 161, 82, 24, 6, 0], [1, 2, 20, 135, 30, 552, 84, 474, 105, 110, 16, 7, 0], [1, 2, 20, 136, 22, 580, 28, 544, 49, 138, 8, 8, 0], [1, 2, 20, 136, 23, 572, 56, 488, 119, 82, 36, 0, 1], [1, 2, 20, 137, 15, 600, 0, 558, 63, 110, 28, 1, 1], [1, 2, 21, 124, 82, 412, 322, 208, 301, 18, 41, 4, 0], [1, 2, 21, 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