-------
(10, 384, 5) ALL distance distributions for INTERNAL point
(5, 384, 5) has 1 possible DDs: {[12, 60, 120, 120, 60, 12]}
(6, 384, 5) has 12 possible DDs: {[1, 66, 15, 220, 15, 66, 1], [2, 60, 30, 200, 30, 60, 2], [3, 54, 45, 180, 45, 54, 3], [4, 48, 60, 160, 60, 48, 4], [5, 42, 75, 140, 75, 42, 5], [6, 36, 90, 120, 90, 36, 6], [7, 30, 105, 100, 105, 30, 7], [8, 24, 120, 80, 120, 24, 8], [9, 18, 135, 60, 135, 18, 9], [10, 12, 150, 40, 150, 12, 10], [11, 6, 165, 20, 165, 6, 11], [12, 0, 180, 0, 180, 0, 12]}
(7, 384, 5) has 45 possible DDs: {[1, 30, 51, 100, 135, 30, 37, 0], [1, 31, 45, 115, 115, 45, 31, 1], [1, 32, 39, 130, 95, 60, 25, 2], [1, 33, 33, 145, 75, 75, 19, 3], [1, 34, 27, 160, 55, 90, 13, 4], [1, 35, 21, 175, 35, 105, 7, 5], [1, 36, 15, 190, 15, 120, 1, 6], [2, 24, 66, 80, 150, 24, 38, 0], [2, 25, 60, 95, 130, 39, 32, 1], [2, 26, 54, 110, 110, 54, 26, 2], [2, 27, 48, 125, 90, 69, 20, 3], [2, 28, 42, 140, 70, 84, 14, 4], [2, 29, 36, 155, 50, 99, 8, 5], [2, 30, 30, 170, 30, 114, 2, 6], [3, 18, 81, 60, 165, 18, 39, 0], [3, 19, 75, 75, 145, 33, 33, 1], [3, 20, 69, 90, 125, 48, 27, 2], [3, 21, 63, 105, 105, 63, 21, 3], [3, 22, 57, 120, 85, 78, 15, 4], [3, 23, 51, 135, 65, 93, 9, 5], [3, 24, 45, 150, 45, 108, 3, 6], [4, 12, 96, 40, 180, 12, 40, 0], [4, 13, 90, 55, 160, 27, 34, 1], [4, 14, 84, 70, 140, 42, 28, 2], [4, 15, 78, 85, 120, 57, 22, 3], [4, 16, 72, 100, 100, 72, 16, 4], [4, 17, 66, 115, 80, 87, 10, 5], [4, 18, 60, 130, 60, 102, 4, 6], [5, 6, 111, 20, 195, 6, 41, 0], [5, 7, 105, 35, 175, 21, 35, 1], [5, 8, 99, 50, 155, 36, 29, 2], [5, 9, 93, 65, 135, 51, 23, 3], [5, 10, 87, 80, 115, 66, 17, 4], [5, 11, 81, 95, 95, 81, 11, 5], [5, 12, 75, 110, 75, 96, 5, 6], [6, 0, 126, 0, 210, 0, 42, 0], [6, 1, 120, 15, 190, 15, 36, 1], [6, 2, 114, 30, 170, 30, 30, 2], [6, 3, 108, 45, 150, 45, 24, 3], [6, 4, 102, 60, 130, 60, 18, 4], [6, 5, 96, 75, 110, 75, 12, 5], [6, 6, 90, 90, 90, 90, 6, 6], [6, 7, 84, 105, 70, 105, 0, 7], [7, 0, 105, 70, 105, 84, 7, 6], [7, 1, 99, 85, 85, 99, 1, 7]}
(8, 384, 5) has 165 possible DDs: {[1, 9, 69, 13, 195, 27, 55, 15, 0], [1, 9, 70, 7, 210, 7, 70, 9, 1], [1, 10, 63, 28, 175, 42, 49, 16, 0], [1, 10, 64, 22, 190, 22, 64, 10, 1], [1, 10, 65, 16, 205, 2, 79, 4, 2], [1, 11, 57, 43, 155, 57, 43, 17, 0], [1, 11, 58, 37, 170, 37, 58, 11, 1], [1, 11, 59, 31, 185, 17, 73, 5, 2], [1, 12, 51, 58, 135, 72, 37, 18, 0], [1, 12, 52, 52, 150, 52, 52, 12, 1], [1, 12, 53, 46, 165, 32, 67, 6, 2], [1, 12, 54, 40, 180, 12, 82, 0, 3], [1, 13, 45, 73, 115, 87, 31, 19, 0], [1, 13, 46, 67, 130, 67, 46, 13, 1], [1, 13, 47, 61, 145, 47, 61, 7, 2], [1, 13, 48, 55, 160, 27, 76, 1, 3], [1, 14, 39, 88, 95, 102, 25, 20, 0], [1, 14, 40, 82, 110, 82, 40, 14, 1], [1, 14, 41, 76, 125, 62, 55, 8, 2], [1, 14, 42, 70, 140, 42, 70, 2, 3], [1, 15, 33, 103, 75, 117, 19, 21, 0], [1, 15, 34, 97, 90, 97, 34, 15, 1], [1, 15, 35, 91, 105, 77, 49, 9, 2], [1, 15, 36, 85, 120, 57, 64, 3, 3], [1, 16, 27, 118, 55, 132, 13, 22, 0], [1, 16, 28, 112, 70, 112, 28, 16, 1], [1, 16, 29, 106, 85, 92, 43, 10, 2], [1, 16, 30, 100, 100, 72, 58, 4, 3], [1, 17, 21, 133, 35, 147, 7, 23, 0], [1, 17, 22, 127, 50, 127, 22, 17, 1], [1, 17, 23, 121, 65, 107, 37, 11, 2], [1, 17, 24, 115, 80, 87, 52, 5, 3], [1, 18, 15, 148, 15, 162, 1, 24, 0], [1, 18, 16, 142, 30, 142, 16, 18, 1], [1, 18, 17, 136, 45, 122, 31, 12, 2], [1, 18, 18, 130, 60, 102, 46, 6, 3], [1, 18, 19, 124, 75, 82, 61, 0, 4], [1, 19, 10, 157, 10, 157, 10, 19, 1], [1, 19, 11, 151, 25, 137, 25, 13, 2], [1, 19, 12, 145, 40, 117, 40, 7, 3], [1, 19, 13, 139, 55, 97, 55, 1, 4], [1, 20, 5, 166, 5, 152, 19, 14, 2], [1, 20, 6, 160, 20, 132, 34, 8, 3], [1, 20, 7, 154, 35, 112, 49, 2, 4], [1, 21, 0, 175, 0, 147, 28, 9, 3], [1, 21, 1, 169, 15, 127, 43, 3, 4], [2, 4, 78, 8, 190, 36, 50, 16, 0], [2, 4, 79, 2, 205, 16, 65, 10, 1], [2, 5, 72, 23, 170, 51, 44, 17, 0], [2, 5, 73, 17, 185, 31, 59, 11, 1], [2, 5, 74, 11, 200, 11, 74, 5, 2], [2, 6, 66, 38, 150, 66, 38, 18, 0], [2, 6, 67, 32, 165, 46, 53, 12, 1], [2, 6, 68, 26, 180, 26, 68, 6, 2], [2, 6, 69, 20, 195, 6, 83, 0, 3], [2, 7, 60, 53, 130, 81, 32, 19, 0], [2, 7, 61, 47, 145, 61, 47, 13, 1], [2, 7, 62, 41, 160, 41, 62, 7, 2], [2, 7, 63, 35, 175, 21, 77, 1, 3], [2, 8, 54, 68, 110, 96, 26, 20, 0], [2, 8, 55, 62, 125, 76, 41, 14, 1], [2, 8, 56, 56, 140, 56, 56, 8, 2], [2, 8, 57, 50, 155, 36, 71, 2, 3], [2, 9, 48, 83, 90, 111, 20, 21, 0], [2, 9, 49, 77, 105, 91, 35, 15, 1], [2, 9, 50, 71, 120, 71, 50, 9, 2], [2, 9, 51, 65, 135, 51, 65, 3, 3], [2, 10, 42, 98, 70, 126, 14, 22, 0], [2, 10, 43, 92, 85, 106, 29, 16, 1], [2, 10, 44, 86, 100, 86, 44, 10, 2], [2, 10, 45, 80, 115, 66, 59, 4, 3], [2, 11, 36, 113, 50, 141, 8, 23, 0], [2, 11, 37, 107, 65, 121, 23, 17, 1], [2, 11, 38, 101, 80, 101, 38, 11, 2], [2, 11, 39, 95, 95, 81, 53, 5, 3], [2, 12, 30, 128, 30, 156, 2, 24, 0], [2, 12, 31, 122, 45, 136, 17, 18, 1], [2, 12, 32, 116, 60, 116, 32, 12, 2], [2, 12, 33, 110, 75, 96, 47, 6, 3], [2, 12, 34, 104, 90, 76, 62, 0, 4], [2, 13, 25, 137, 25, 151, 11, 19, 1], [2, 13, 26, 131, 40, 131, 26, 13, 2], [2, 13, 27, 125, 55, 111, 41, 7, 3], [2, 13, 28, 119, 70, 91, 56, 1, 4], [2, 14, 19, 152, 5, 166, 5, 20, 1], [2, 14, 20, 146, 20, 146, 20, 14, 2], [2, 14, 21, 140, 35, 126, 35, 8, 3], [2, 14, 22, 134, 50, 106, 50, 2, 4], [2, 15, 14, 161, 0, 161, 14, 15, 2], [2, 15, 15, 155, 15, 141, 29, 9, 3], [2, 15, 16, 149, 30, 121, 44, 3, 4], [2, 16, 10, 164, 10, 136, 38, 4, 4], [3, 0, 81, 18, 165, 60, 39, 18, 0], [3, 0, 82, 12, 180, 40, 54, 12, 1], [3, 0, 83, 6, 195, 20, 69, 6, 2], [3, 0, 84, 0, 210, 0, 84, 0, 3], [3, 1, 75, 33, 145, 75, 33, 19, 0], [3, 1, 76, 27, 160, 55, 48, 13, 1], [3, 1, 77, 21, 175, 35, 63, 7, 2], [3, 1, 78, 15, 190, 15, 78, 1, 3], [3, 2, 69, 48, 125, 90, 27, 20, 0], [3, 2, 70, 42, 140, 70, 42, 14, 1], [3, 2, 71, 36, 155, 50, 57, 8, 2], [3, 2, 72, 30, 170, 30, 72, 2, 3], [3, 3, 63, 63, 105, 105, 21, 21, 0], [3, 3, 64, 57, 120, 85, 36, 15, 1], [3, 3, 65, 51, 135, 65, 51, 9, 2], [3, 3, 66, 45, 150, 45, 66, 3, 3], [3, 4, 57, 78, 85, 120, 15, 22, 0], [3, 4, 58, 72, 100, 100, 30, 16, 1], [3, 4, 59, 66, 115, 80, 45, 10, 2], [3, 4, 60, 60, 130, 60, 60, 4, 3], [3, 5, 51, 93, 65, 135, 9, 23, 0], [3, 5, 52, 87, 80, 115, 24, 17, 1], [3, 5, 53, 81, 95, 95, 39, 11, 2], [3, 5, 54, 75, 110, 75, 54, 5, 3], [3, 6, 45, 108, 45, 150, 3, 24, 0], [3, 6, 46, 102, 60, 130, 18, 18, 1], [3, 6, 47, 96, 75, 110, 33, 12, 2], [3, 6, 48, 90, 90, 90, 48, 6, 3], [3, 6, 49, 84, 105, 70, 63, 0, 4], [3, 7, 40, 117, 40, 145, 12, 19, 1], [3, 7, 41, 111, 55, 125, 27, 13, 2], [3, 7, 42, 105, 70, 105, 42, 7, 3], [3, 7, 43, 99, 85, 85, 57, 1, 4], [3, 8, 34, 132, 20, 160, 6, 20, 1], [3, 8, 35, 126, 35, 140, 21, 14, 2], [3, 8, 36, 120, 50, 120, 36, 8, 3], [3, 8, 37, 114, 65, 100, 51, 2, 4], [3, 9, 28, 147, 0, 175, 0, 21, 1], [3, 9, 29, 141, 15, 155, 15, 15, 2], [3, 9, 30, 135, 30, 135, 30, 9, 3], [3, 9, 31, 129, 45, 115, 45, 3, 4], [3, 10, 24, 150, 10, 150, 24, 10, 3], [3, 10, 25, 144, 25, 130, 39, 4, 4], [3, 11, 19, 159, 5, 145, 33, 5, 4], [3, 12, 14, 168, 0, 140, 42, 0, 5], [4, 0, 60, 88, 60, 144, 4, 24, 0], [4, 0, 61, 82, 75, 124, 19, 18, 1], [4, 0, 62, 76, 90, 104, 34, 12, 2], [4, 0, 63, 70, 105, 84, 49, 6, 3], [4, 0, 64, 64, 120, 64, 64, 0, 4], [4, 1, 55, 97, 55, 139, 13, 19, 1], [4, 1, 56, 91, 70, 119, 28, 13, 2], [4, 1, 57, 85, 85, 99, 43, 7, 3], [4, 1, 58, 79, 100, 79, 58, 1, 4], [4, 2, 49, 112, 35, 154, 7, 20, 1], [4, 2, 50, 106, 50, 134, 22, 14, 2], [4, 2, 51, 100, 65, 114, 37, 8, 3], [4, 2, 52, 94, 80, 94, 52, 2, 4], [4, 3, 43, 127, 15, 169, 1, 21, 1], [4, 3, 44, 121, 30, 149, 16, 15, 2], [4, 3, 45, 115, 45, 129, 31, 9, 3], [4, 3, 46, 109, 60, 109, 46, 3, 4], [4, 4, 38, 136, 10, 164, 10, 16, 2], [4, 4, 39, 130, 25, 144, 25, 10, 3], [4, 4, 40, 124, 40, 124, 40, 4, 4], [4, 5, 33, 145, 5, 159, 19, 11, 3], [4, 5, 34, 139, 20, 139, 34, 5, 4], [4, 6, 28, 154, 0, 154, 28, 6, 4], [4, 6, 29, 148, 15, 134, 43, 0, 5], [5, 0, 42, 140, 0, 168, 14, 12, 3], [5, 0, 43, 134, 15, 148, 29, 6, 4], [5, 0, 44, 128, 30, 128, 44, 0, 5], [5, 1, 38, 143, 10, 143, 38, 1, 5]}
(9, 384, 5) has 523 possible DDs: {[1, 0, 55, 22, 99, 148, 1, 54, 4, 0], [1, 0, 56, 16, 114, 128, 16, 48, 5, 0], [1, 0, 57, 10, 129, 108, 31, 42, 6, 0], [1, 0, 57, 11, 123, 123, 11, 57, 0, 1], [1, 0, 58, 4, 144, 88, 46, 36, 7, 0], [1, 0, 58, 5, 138, 103, 26, 51, 1, 1], [1, 1, 50, 31, 94, 143, 10, 49, 5, 0], [1, 1, 51, 25, 109, 123, 25, 43, 6, 0], [1, 1, 51, 26, 103, 138, 5, 58, 0, 1], [1, 1, 52, 19, 124, 103, 40, 37, 7, 0], [1, 1, 52, 20, 118, 118, 20, 52, 1, 1], [1, 1, 53, 13, 139, 83, 55, 31, 8, 0], [1, 1, 53, 14, 133, 98, 35, 46, 2, 1], [1, 1, 54, 7, 154, 63, 70, 25, 9, 0], [1, 1, 54, 8, 148, 78, 50, 40, 3, 1], [1, 1, 55, 1, 169, 43, 85, 19, 10, 0], [1, 1, 55, 2, 163, 58, 65, 34, 4, 1], [1, 2, 44, 46, 74, 158, 4, 50, 5, 0], [1, 2, 45, 40, 89, 138, 19, 44, 6, 0], [1, 2, 46, 34, 104, 118, 34, 38, 7, 0], [1, 2, 46, 35, 98, 133, 14, 53, 1, 1], [1, 2, 47, 28, 119, 98, 49, 32, 8, 0], [1, 2, 47, 29, 113, 113, 29, 47, 2, 1], [1, 2, 48, 22, 134, 78, 64, 26, 9, 0], [1, 2, 48, 23, 128, 93, 44, 41, 3, 1], [1, 2, 49, 16, 149, 58, 79, 20, 10, 0], [1, 2, 49, 17, 143, 73, 59, 35, 4, 1], [1, 2, 50, 10, 164, 38, 94, 14, 11, 0], [1, 2, 50, 11, 158, 53, 74, 29, 5, 1], [1, 2, 51, 4, 179, 18, 109, 8, 12, 0], [1, 2, 51, 5, 173, 33, 89, 23, 6, 1], [1, 2, 51, 6, 167, 48, 69, 38, 0, 2], [1, 2, 52, 0, 182, 28, 84, 32, 1, 2], [1, 3, 39, 55, 69, 153, 13, 45, 6, 0], [1, 3, 40, 49, 84, 133, 28, 39, 7, 0], [1, 3, 40, 50, 78, 148, 8, 54, 1, 1], [1, 3, 41, 43, 99, 113, 43, 33, 8, 0], [1, 3, 41, 44, 93, 128, 23, 48, 2, 1], [1, 3, 42, 37, 114, 93, 58, 27, 9, 0], [1, 3, 42, 38, 108, 108, 38, 42, 3, 1], [1, 3, 43, 31, 129, 73, 73, 21, 10, 0], [1, 3, 43, 32, 123, 88, 53, 36, 4, 1], [1, 3, 44, 25, 144, 53, 88, 15, 11, 0], [1, 3, 44, 26, 138, 68, 68, 30, 5, 1], [1, 3, 45, 19, 159, 33, 103, 9, 12, 0], [1, 3, 45, 20, 153, 48, 83, 24, 6, 1], [1, 3, 45, 21, 147, 63, 63, 39, 0, 2], [1, 3, 46, 13, 174, 13, 118, 3, 13, 0], [1, 3, 46, 14, 168, 28, 98, 18, 7, 1], [1, 3, 46, 15, 162, 43, 78, 33, 1, 2], [1, 3, 47, 8, 183, 8, 113, 12, 8, 1], [1, 3, 47, 9, 177, 23, 93, 27, 2, 2], [1, 3, 48, 3, 192, 3, 108, 21, 3, 2], [1, 4, 33, 70, 49, 168, 7, 46, 6, 0], [1, 4, 34, 64, 64, 148, 22, 40, 7, 0], [1, 4, 34, 65, 58, 163, 2, 55, 1, 1], [1, 4, 35, 58, 79, 128, 37, 34, 8, 0], [1, 4, 35, 59, 73, 143, 17, 49, 2, 1], [1, 4, 36, 52, 94, 108, 52, 28, 9, 0], [1, 4, 36, 53, 88, 123, 32, 43, 3, 1], [1, 4, 37, 46, 109, 88, 67, 22, 10, 0], [1, 4, 37, 47, 103, 103, 47, 37, 4, 1], [1, 4, 38, 40, 124, 68, 82, 16, 11, 0], [1, 4, 38, 41, 118, 83, 62, 31, 5, 1], [1, 4, 39, 34, 139, 48, 97, 10, 12, 0], [1, 4, 39, 35, 133, 63, 77, 25, 6, 1], [1, 4, 39, 36, 127, 78, 57, 40, 0, 2], [1, 4, 40, 28, 154, 28, 112, 4, 13, 0], [1, 4, 40, 29, 148, 43, 92, 19, 7, 1], [1, 4, 40, 30, 142, 58, 72, 34, 1, 2], [1, 4, 41, 23, 163, 23, 107, 13, 8, 1], [1, 4, 41, 24, 157, 38, 87, 28, 2, 2], [1, 4, 42, 17, 178, 3, 122, 7, 9, 1], [1, 4, 42, 18, 172, 18, 102, 22, 3, 2], [1, 5, 27, 85, 29, 183, 1, 47, 6, 0], [1, 5, 28, 79, 44, 163, 16, 41, 7, 0], [1, 5, 29, 73, 59, 143, 31, 35, 8, 0], [1, 5, 29, 74, 53, 158, 11, 50, 2, 1], [1, 5, 30, 67, 74, 123, 46, 29, 9, 0], [1, 5, 30, 68, 68, 138, 26, 44, 3, 1], [1, 5, 31, 61, 89, 103, 61, 23, 10, 0], [1, 5, 31, 62, 83, 118, 41, 38, 4, 1], [1, 5, 32, 55, 104, 83, 76, 17, 11, 0], [1, 5, 32, 56, 98, 98, 56, 32, 5, 1], [1, 5, 33, 49, 119, 63, 91, 11, 12, 0], [1, 5, 33, 50, 113, 78, 71, 26, 6, 1], [1, 5, 33, 51, 107, 93, 51, 41, 0, 2], [1, 5, 34, 43, 134, 43, 106, 5, 13, 0], [1, 5, 34, 44, 128, 58, 86, 20, 7, 1], [1, 5, 34, 45, 122, 73, 66, 35, 1, 2], [1, 5, 35, 38, 143, 38, 101, 14, 8, 1], [1, 5, 35, 39, 137, 53, 81, 29, 2, 2], [1, 5, 36, 32, 158, 18, 116, 8, 9, 1], [1, 5, 36, 33, 152, 33, 96, 23, 3, 2], [1, 5, 37, 27, 167, 13, 111, 17, 4, 2], [1, 6, 22, 94, 24, 178, 10, 42, 7, 0], [1, 6, 23, 88, 39, 158, 25, 36, 8, 0], [1, 6, 23, 89, 33, 173, 5, 51, 2, 1], [1, 6, 24, 82, 54, 138, 40, 30, 9, 0], [1, 6, 24, 83, 48, 153, 20, 45, 3, 1], [1, 6, 25, 76, 69, 118, 55, 24, 10, 0], [1, 6, 25, 77, 63, 133, 35, 39, 4, 1], [1, 6, 26, 70, 84, 98, 70, 18, 11, 0], [1, 6, 26, 71, 78, 113, 50, 33, 5, 1], [1, 6, 27, 64, 99, 78, 85, 12, 12, 0], [1, 6, 27, 65, 93, 93, 65, 27, 6, 1], [1, 6, 27, 66, 87, 108, 45, 42, 0, 2], [1, 6, 28, 58, 114, 58, 100, 6, 13, 0], [1, 6, 28, 59, 108, 73, 80, 21, 7, 1], [1, 6, 28, 60, 102, 88, 60, 36, 1, 2], [1, 6, 29, 52, 129, 38, 115, 0, 14, 0], [1, 6, 29, 53, 123, 53, 95, 15, 8, 1], [1, 6, 29, 54, 117, 68, 75, 30, 2, 2], [1, 6, 30, 47, 138, 33, 110, 9, 9, 1], [1, 6, 30, 48, 132, 48, 90, 24, 3, 2], [1, 6, 31, 41, 153, 13, 125, 3, 10, 1], [1, 6, 31, 42, 147, 28, 105, 18, 4, 2], [1, 6, 32, 36, 162, 8, 120, 12, 5, 2], [1, 6, 33, 31, 171, 3, 115, 21, 0, 3], [1, 7, 16, 109, 4, 193, 4, 43, 7, 0], [1, 7, 17, 103, 19, 173, 19, 37, 8, 0], [1, 7, 18, 97, 34, 153, 34, 31, 9, 0], [1, 7, 18, 98, 28, 168, 14, 46, 3, 1], [1, 7, 19, 91, 49, 133, 49, 25, 10, 0], [1, 7, 19, 92, 43, 148, 29, 40, 4, 1], [1, 7, 20, 85, 64, 113, 64, 19, 11, 0], [1, 7, 20, 86, 58, 128, 44, 34, 5, 1], [1, 7, 21, 79, 79, 93, 79, 13, 12, 0], [1, 7, 21, 80, 73, 108, 59, 28, 6, 1], [1, 7, 21, 81, 67, 123, 39, 43, 0, 2], [1, 7, 22, 73, 94, 73, 94, 7, 13, 0], [1, 7, 22, 74, 88, 88, 74, 22, 7, 1], [1, 7, 22, 75, 82, 103, 54, 37, 1, 2], [1, 7, 23, 67, 109, 53, 109, 1, 14, 0], [1, 7, 23, 68, 103, 68, 89, 16, 8, 1], [1, 7, 23, 69, 97, 83, 69, 31, 2, 2], [1, 7, 24, 62, 118, 48, 104, 10, 9, 1], [1, 7, 24, 63, 112, 63, 84, 25, 3, 2], [1, 7, 25, 56, 133, 28, 119, 4, 10, 1], [1, 7, 25, 57, 127, 43, 99, 19, 4, 2], [1, 7, 26, 51, 142, 23, 114, 13, 5, 2], [1, 7, 27, 45, 157, 3, 129, 7, 6, 2], [1, 7, 27, 46, 151, 18, 109, 22, 0, 3], [1, 8, 12, 112, 14, 168, 28, 32, 9, 0], [1, 8, 12, 113, 8, 183, 8, 47, 3, 1], [1, 8, 13, 106, 29, 148, 43, 26, 10, 0], [1, 8, 13, 107, 23, 163, 23, 41, 4, 1], [1, 8, 14, 100, 44, 128, 58, 20, 11, 0], [1, 8, 14, 101, 38, 143, 38, 35, 5, 1], [1, 8, 15, 94, 59, 108, 73, 14, 12, 0], [1, 8, 15, 95, 53, 123, 53, 29, 6, 1], [1, 8, 15, 96, 47, 138, 33, 44, 0, 2], [1, 8, 16, 88, 74, 88, 88, 8, 13, 0], [1, 8, 16, 89, 68, 103, 68, 23, 7, 1], [1, 8, 16, 90, 62, 118, 48, 38, 1, 2], [1, 8, 17, 82, 89, 68, 103, 2, 14, 0], [1, 8, 17, 83, 83, 83, 83, 17, 8, 1], [1, 8, 17, 84, 77, 98, 63, 32, 2, 2], [1, 8, 18, 77, 98, 63, 98, 11, 9, 1], [1, 8, 18, 78, 92, 78, 78, 26, 3, 2], [1, 8, 19, 71, 113, 43, 113, 5, 10, 1], [1, 8, 19, 72, 107, 58, 93, 20, 4, 2], [1, 8, 20, 66, 122, 38, 108, 14, 5, 2], [1, 8, 21, 60, 137, 18, 123, 8, 6, 2], [1, 8, 21, 61, 131, 33, 103, 23, 0, 3], [1, 8, 22, 55, 146, 13, 118, 17, 1, 3], [1, 9, 7, 121, 9, 163, 37, 27, 10, 0], [1, 9, 7, 122, 3, 178, 17, 42, 4, 1], [1, 9, 8, 115, 24, 143, 52, 21, 11, 0], [1, 9, 8, 116, 18, 158, 32, 36, 5, 1], [1, 9, 9, 109, 39, 123, 67, 15, 12, 0], [1, 9, 9, 110, 33, 138, 47, 30, 6, 1], [1, 9, 9, 111, 27, 153, 27, 45, 0, 2], [1, 9, 10, 103, 54, 103, 82, 9, 13, 0], [1, 9, 10, 104, 48, 118, 62, 24, 7, 1], [1, 9, 10, 105, 42, 133, 42, 39, 1, 2], [1, 9, 11, 97, 69, 83, 97, 3, 14, 0], [1, 9, 11, 98, 63, 98, 77, 18, 8, 1], [1, 9, 11, 99, 57, 113, 57, 33, 2, 2], [1, 9, 12, 92, 78, 78, 92, 12, 9, 1], [1, 9, 12, 93, 72, 93, 72, 27, 3, 2], [1, 9, 13, 86, 93, 58, 107, 6, 10, 1], [1, 9, 13, 87, 87, 73, 87, 21, 4, 2], [1, 9, 14, 80, 108, 38, 122, 0, 11, 1], [1, 9, 14, 81, 102, 53, 102, 15, 5, 2], [1, 9, 15, 75, 117, 33, 117, 9, 6, 2], [1, 9, 15, 76, 111, 48, 97, 24, 0, 3], [1, 9, 16, 69, 132, 13, 132, 3, 7, 2], [1, 9, 16, 70, 126, 28, 112, 18, 1, 3], [1, 9, 17, 64, 141, 8, 127, 12, 2, 3], [1, 10, 2, 130, 4, 158, 46, 22, 11, 0], [1, 10, 3, 124, 19, 138, 61, 16, 12, 0], [1, 10, 3, 125, 13, 153, 41, 31, 6, 1], [1, 10, 3, 126, 7, 168, 21, 46, 0, 2], [1, 10, 4, 118, 34, 118, 76, 10, 13, 0], [1, 10, 4, 119, 28, 133, 56, 25, 7, 1], [1, 10, 4, 120, 22, 148, 36, 40, 1, 2], [1, 10, 5, 112, 49, 98, 91, 4, 14, 0], [1, 10, 5, 113, 43, 113, 71, 19, 8, 1], [1, 10, 5, 114, 37, 128, 51, 34, 2, 2], [1, 10, 6, 107, 58, 93, 86, 13, 9, 1], [1, 10, 6, 108, 52, 108, 66, 28, 3, 2], [1, 10, 7, 101, 73, 73, 101, 7, 10, 1], [1, 10, 7, 102, 67, 88, 81, 22, 4, 2], [1, 10, 8, 95, 88, 53, 116, 1, 11, 1], [1, 10, 8, 96, 82, 68, 96, 16, 5, 2], [1, 10, 9, 90, 97, 48, 111, 10, 6, 2], [1, 10, 9, 91, 91, 63, 91, 25, 0, 3], [1, 10, 10, 84, 112, 28, 126, 4, 7, 2], [1, 10, 10, 85, 106, 43, 106, 19, 1, 3], [1, 10, 11, 79, 121, 23, 121, 13, 2, 3], [1, 10, 12, 73, 136, 3, 136, 7, 3, 3], [1, 11, 0, 122, 38, 108, 80, 14, 9, 1], [1, 11, 0, 123, 32, 123, 60, 29, 3, 2], [1, 11, 1, 116, 53, 88, 95, 8, 10, 1], [1, 11, 1, 117, 47, 103, 75, 23, 4, 2], [1, 11, 2, 110, 68, 68, 110, 2, 11, 1], [1, 11, 2, 111, 62, 83, 90, 17, 5, 2], [1, 11, 3, 105, 77, 63, 105, 11, 6, 2], [1, 11, 3, 106, 71, 78, 85, 26, 0, 3], [1, 11, 4, 99, 92, 43, 120, 5, 7, 2], [1, 11, 4, 100, 86, 58, 100, 20, 1, 3], [1, 11, 5, 94, 101, 38, 115, 14, 2, 3], [1, 11, 6, 88, 116, 18, 130, 8, 3, 3], [1, 12, 0, 103, 96, 33, 124, 9, 3, 3], [1, 12, 1, 97, 111, 13, 139, 3, 4, 3], [2, 0, 37, 74, 39, 172, 11, 42, 7, 0], [2, 0, 38, 68, 54, 152, 26, 36, 8, 0], [2, 0, 38, 69, 48, 167, 6, 51, 2, 1], [2, 0, 39, 62, 69, 132, 41, 30, 9, 0], [2, 0, 39, 63, 63, 147, 21, 45, 3, 1], [2, 0, 40, 56, 84, 112, 56, 24, 10, 0], [2, 0, 40, 57, 78, 127, 36, 39, 4, 1], [2, 0, 41, 50, 99, 92, 71, 18, 11, 0], [2, 0, 41, 51, 93, 107, 51, 33, 5, 1], [2, 0, 42, 44, 114, 72, 86, 12, 12, 0], [2, 0, 42, 45, 108, 87, 66, 27, 6, 1], [2, 0, 42, 46, 102, 102, 46, 42, 0, 2], [2, 0, 43, 38, 129, 52, 101, 6, 13, 0], [2, 0, 43, 39, 123, 67, 81, 21, 7, 1], [2, 0, 43, 40, 117, 82, 61, 36, 1, 2], [2, 0, 44, 32, 144, 32, 116, 0, 14, 0], [2, 0, 44, 33, 138, 47, 96, 15, 8, 1], [2, 0, 44, 34, 132, 62, 76, 30, 2, 2], [2, 0, 45, 27, 153, 27, 111, 9, 9, 1], [2, 0, 45, 28, 147, 42, 91, 24, 3, 2], [2, 0, 46, 21, 168, 7, 126, 3, 10, 1], [2, 0, 46, 22, 162, 22, 106, 18, 4, 2], [2, 0, 47, 16, 177, 2, 121, 12, 5, 2], [2, 1, 31, 89, 19, 187, 5, 43, 7, 0], [2, 1, 32, 83, 34, 167, 20, 37, 8, 0], [2, 1, 32, 84, 28, 182, 0, 52, 2, 1], [2, 1, 33, 77, 49, 147, 35, 31, 9, 0], [2, 1, 33, 78, 43, 162, 15, 46, 3, 1], [2, 1, 34, 71, 64, 127, 50, 25, 10, 0], [2, 1, 34, 72, 58, 142, 30, 40, 4, 1], [2, 1, 35, 65, 79, 107, 65, 19, 11, 0], [2, 1, 35, 66, 73, 122, 45, 34, 5, 1], [2, 1, 36, 59, 94, 87, 80, 13, 12, 0], [2, 1, 36, 60, 88, 102, 60, 28, 6, 1], [2, 1, 36, 61, 82, 117, 40, 43, 0, 2], [2, 1, 37, 53, 109, 67, 95, 7, 13, 0], [2, 1, 37, 54, 103, 82, 75, 22, 7, 1], [2, 1, 37, 55, 97, 97, 55, 37, 1, 2], [2, 1, 38, 47, 124, 47, 110, 1, 14, 0], [2, 1, 38, 48, 118, 62, 90, 16, 8, 1], [2, 1, 38, 49, 112, 77, 70, 31, 2, 2], [2, 1, 39, 42, 133, 42, 105, 10, 9, 1], [2, 1, 39, 43, 127, 57, 85, 25, 3, 2], [2, 1, 40, 36, 148, 22, 120, 4, 10, 1], [2, 1, 40, 37, 142, 37, 100, 19, 4, 2], [2, 1, 41, 31, 157, 17, 115, 13, 5, 2], [2, 1, 42, 26, 166, 12, 110, 22, 0, 3], [2, 2, 26, 98, 14, 182, 14, 38, 8, 0], [2, 2, 27, 92, 29, 162, 29, 32, 9, 0], [2, 2, 27, 93, 23, 177, 9, 47, 3, 1], [2, 2, 28, 86, 44, 142, 44, 26, 10, 0], [2, 2, 28, 87, 38, 157, 24, 41, 4, 1], [2, 2, 29, 80, 59, 122, 59, 20, 11, 0], [2, 2, 29, 81, 53, 137, 39, 35, 5, 1], [2, 2, 30, 74, 74, 102, 74, 14, 12, 0], [2, 2, 30, 75, 68, 117, 54, 29, 6, 1], [2, 2, 30, 76, 62, 132, 34, 44, 0, 2], [2, 2, 31, 68, 89, 82, 89, 8, 13, 0], [2, 2, 31, 69, 83, 97, 69, 23, 7, 1], [2, 2, 31, 70, 77, 112, 49, 38, 1, 2], [2, 2, 32, 62, 104, 62, 104, 2, 14, 0], [2, 2, 32, 63, 98, 77, 84, 17, 8, 1], [2, 2, 32, 64, 92, 92, 64, 32, 2, 2], [2, 2, 33, 57, 113, 57, 99, 11, 9, 1], [2, 2, 33, 58, 107, 72, 79, 26, 3, 2], [2, 2, 34, 51, 128, 37, 114, 5, 10, 1], [2, 2, 34, 52, 122, 52, 94, 20, 4, 2], [2, 2, 35, 46, 137, 32, 109, 14, 5, 2], [2, 2, 36, 40, 152, 12, 124, 8, 6, 2], [2, 2, 36, 41, 146, 27, 104, 23, 0, 3], [2, 2, 37, 35, 161, 7, 119, 17, 1, 3], [2, 3, 21, 107, 9, 177, 23, 33, 9, 0], [2, 3, 21, 108, 3, 192, 3, 48, 3, 1], [2, 3, 22, 101, 24, 157, 38, 27, 10, 0], [2, 3, 22, 102, 18, 172, 18, 42, 4, 1], [2, 3, 23, 95, 39, 137, 53, 21, 11, 0], [2, 3, 23, 96, 33, 152, 33, 36, 5, 1], [2, 3, 24, 89, 54, 117, 68, 15, 12, 0], [2, 3, 24, 90, 48, 132, 48, 30, 6, 1], [2, 3, 24, 91, 42, 147, 28, 45, 0, 2], [2, 3, 25, 83, 69, 97, 83, 9, 13, 0], [2, 3, 25, 84, 63, 112, 63, 24, 7, 1], [2, 3, 25, 85, 57, 127, 43, 39, 1, 2], [2, 3, 26, 77, 84, 77, 98, 3, 14, 0], [2, 3, 26, 78, 78, 92, 78, 18, 8, 1], [2, 3, 26, 79, 72, 107, 58, 33, 2, 2], [2, 3, 27, 72, 93, 72, 93, 12, 9, 1], [2, 3, 27, 73, 87, 87, 73, 27, 3, 2], [2, 3, 28, 66, 108, 52, 108, 6, 10, 1], [2, 3, 28, 67, 102, 67, 88, 21, 4, 2], [2, 3, 29, 60, 123, 32, 123, 0, 11, 1], [2, 3, 29, 61, 117, 47, 103, 15, 5, 2], [2, 3, 30, 55, 132, 27, 118, 9, 6, 2], [2, 3, 30, 56, 126, 42, 98, 24, 0, 3], [2, 3, 31, 49, 147, 7, 133, 3, 7, 2], [2, 3, 31, 50, 141, 22, 113, 18, 1, 3], [2, 3, 32, 44, 156, 2, 128, 12, 2, 3], [2, 4, 16, 116, 4, 172, 32, 28, 10, 0], [2, 4, 17, 110, 19, 152, 47, 22, 11, 0], [2, 4, 17, 111, 13, 167, 27, 37, 5, 1], [2, 4, 18, 104, 34, 132, 62, 16, 12, 0], [2, 4, 18, 105, 28, 147, 42, 31, 6, 1], [2, 4, 18, 106, 22, 162, 22, 46, 0, 2], [2, 4, 19, 98, 49, 112, 77, 10, 13, 0], [2, 4, 19, 99, 43, 127, 57, 25, 7, 1], [2, 4, 19, 100, 37, 142, 37, 40, 1, 2], [2, 4, 20, 92, 64, 92, 92, 4, 14, 0], [2, 4, 20, 93, 58, 107, 72, 19, 8, 1], [2, 4, 20, 94, 52, 122, 52, 34, 2, 2], [2, 4, 21, 87, 73, 87, 87, 13, 9, 1], [2, 4, 21, 88, 67, 102, 67, 28, 3, 2], [2, 4, 22, 81, 88, 67, 102, 7, 10, 1], [2, 4, 22, 82, 82, 82, 82, 22, 4, 2], [2, 4, 23, 75, 103, 47, 117, 1, 11, 1], [2, 4, 23, 76, 97, 62, 97, 16, 5, 2], [2, 4, 24, 70, 112, 42, 112, 10, 6, 2], [2, 4, 24, 71, 106, 57, 92, 25, 0, 3], [2, 4, 25, 64, 127, 22, 127, 4, 7, 2], [2, 4, 25, 65, 121, 37, 107, 19, 1, 3], [2, 4, 26, 59, 136, 17, 122, 13, 2, 3], [2, 5, 12, 119, 14, 147, 56, 17, 12, 0], [2, 5, 12, 120, 8, 162, 36, 32, 6, 1], [2, 5, 12, 121, 2, 177, 16, 47, 0, 2], [2, 5, 13, 113, 29, 127, 71, 11, 13, 0], [2, 5, 13, 114, 23, 142, 51, 26, 7, 1], [2, 5, 13, 115, 17, 157, 31, 41, 1, 2], [2, 5, 14, 107, 44, 107, 86, 5, 14, 0], [2, 5, 14, 108, 38, 122, 66, 20, 8, 1], [2, 5, 14, 109, 32, 137, 46, 35, 2, 2], [2, 5, 15, 102, 53, 102, 81, 14, 9, 1], [2, 5, 15, 103, 47, 117, 61, 29, 3, 2], [2, 5, 16, 96, 68, 82, 96, 8, 10, 1], [2, 5, 16, 97, 62, 97, 76, 23, 4, 2], [2, 5, 17, 90, 83, 62, 111, 2, 11, 1], [2, 5, 17, 91, 77, 77, 91, 17, 5, 2], [2, 5, 18, 85, 92, 57, 106, 11, 6, 2], [2, 5, 18, 86, 86, 72, 86, 26, 0, 3], [2, 5, 19, 79, 107, 37, 121, 5, 7, 2], [2, 5, 19, 80, 101, 52, 101, 20, 1, 3], [2, 5, 20, 74, 116, 32, 116, 14, 2, 3], [2, 5, 21, 68, 131, 12, 131, 8, 3, 3], [2, 6, 7, 128, 9, 142, 65, 12, 13, 0], [2, 6, 7, 129, 3, 157, 45, 27, 7, 1], [2, 6, 8, 122, 24, 122, 80, 6, 14, 0], [2, 6, 8, 123, 18, 137, 60, 21, 8, 1], [2, 6, 8, 124, 12, 152, 40, 36, 2, 2], [2, 6, 9, 116, 39, 102, 95, 0, 15, 0], [2, 6, 9, 117, 33, 117, 75, 15, 9, 1], [2, 6, 9, 118, 27, 132, 55, 30, 3, 2], [2, 6, 10, 111, 48, 97, 90, 9, 10, 1], [2, 6, 10, 112, 42, 112, 70, 24, 4, 2], [2, 6, 11, 105, 63, 77, 105, 3, 11, 1], [2, 6, 11, 106, 57, 92, 85, 18, 5, 2], [2, 6, 12, 100, 72, 72, 100, 12, 6, 2], [2, 6, 12, 101, 66, 87, 80, 27, 0, 3], [2, 6, 13, 94, 87, 52, 115, 6, 7, 2], [2, 6, 13, 95, 81, 67, 95, 21, 1, 3], [2, 6, 14, 88, 102, 32, 130, 0, 8, 2], [2, 6, 14, 89, 96, 47, 110, 15, 2, 3], [2, 6, 15, 83, 111, 27, 125, 9, 3, 3], [2, 6, 16, 77, 126, 7, 140, 3, 4, 3], [2, 7, 2, 137, 4, 137, 74, 7, 14, 0], [2, 7, 3, 131, 19, 117, 89, 1, 15, 0], [2, 7, 3, 132, 13, 132, 69, 16, 9, 1], [2, 7, 3, 133, 7, 147, 49, 31, 3, 2], [2, 7, 4, 126, 28, 112, 84, 10, 10, 1], [2, 7, 4, 127, 22, 127, 64, 25, 4, 2], [2, 7, 5, 120, 43, 92, 99, 4, 11, 1], [2, 7, 5, 121, 37, 107, 79, 19, 5, 2], [2, 7, 6, 115, 52, 87, 94, 13, 6, 2], [2, 7, 6, 116, 46, 102, 74, 28, 0, 3], [2, 7, 7, 109, 67, 67, 109, 7, 7, 2], [2, 7, 7, 110, 61, 82, 89, 22, 1, 3], [2, 7, 8, 103, 82, 47, 124, 1, 8, 2], [2, 7, 8, 104, 76, 62, 104, 16, 2, 3], [2, 7, 9, 98, 91, 42, 119, 10, 3, 3], [2, 7, 10, 92, 106, 22, 134, 4, 4, 3], [2, 8, 0, 130, 32, 102, 88, 14, 6, 2], [2, 8, 0, 131, 26, 117, 68, 29, 0, 3], [2, 8, 1, 124, 47, 82, 103, 8, 7, 2], [2, 8, 1, 125, 41, 97, 83, 23, 1, 3], [2, 8, 2, 118, 62, 62, 118, 2, 8, 2], [2, 8, 2, 119, 56, 77, 98, 17, 2, 3], [2, 8, 3, 113, 71, 57, 113, 11, 3, 3], [2, 8, 4, 107, 86, 37, 128, 5, 4, 3], [2, 8, 6, 96, 110, 12, 138, 8, 0, 4], [2, 9, 0, 111, 90, 27, 132, 9, 0, 4], [2, 9, 1, 105, 105, 7, 147, 3, 1, 4], [3, 0, 21, 114, 9, 156, 51, 18, 12, 0], [3, 0, 21, 115, 3, 171, 31, 33, 6, 1], [3, 0, 22, 108, 24, 136, 66, 12, 13, 0], [3, 0, 22, 109, 18, 151, 46, 27, 7, 1], [3, 0, 22, 110, 12, 166, 26, 42, 1, 2], [3, 0, 23, 102, 39, 116, 81, 6, 14, 0], [3, 0, 23, 103, 33, 131, 61, 21, 8, 1], [3, 0, 23, 104, 27, 146, 41, 36, 2, 2], [3, 0, 24, 96, 54, 96, 96, 0, 15, 0], [3, 0, 24, 97, 48, 111, 76, 15, 9, 1], [3, 0, 24, 98, 42, 126, 56, 30, 3, 2], [3, 0, 25, 91, 63, 91, 91, 9, 10, 1], [3, 0, 25, 92, 57, 106, 71, 24, 4, 2], [3, 0, 26, 85, 78, 71, 106, 3, 11, 1], [3, 0, 26, 86, 72, 86, 86, 18, 5, 2], [3, 0, 27, 80, 87, 66, 101, 12, 6, 2], [3, 0, 27, 81, 81, 81, 81, 27, 0, 3], [3, 0, 28, 74, 102, 46, 116, 6, 7, 2], [3, 0, 28, 75, 96, 61, 96, 21, 1, 3], [3, 0, 29, 68, 117, 26, 131, 0, 8, 2], [3, 0, 29, 69, 111, 41, 111, 15, 2, 3], [3, 0, 30, 63, 126, 21, 126, 9, 3, 3], [3, 0, 31, 57, 141, 1, 141, 3, 4, 3], [3, 1, 16, 123, 4, 151, 60, 13, 13, 0], [3, 1, 17, 117, 19, 131, 75, 7, 14, 0], [3, 1, 17, 118, 13, 146, 55, 22, 8, 1], [3, 1, 17, 119, 7, 161, 35, 37, 2, 2], [3, 1, 18, 111, 34, 111, 90, 1, 15, 0], [3, 1, 18, 112, 28, 126, 70, 16, 9, 1], [3, 1, 18, 113, 22, 141, 50, 31, 3, 2], [3, 1, 19, 106, 43, 106, 85, 10, 10, 1], [3, 1, 19, 107, 37, 121, 65, 25, 4, 2], [3, 1, 20, 100, 58, 86, 100, 4, 11, 1], [3, 1, 20, 101, 52, 101, 80, 19, 5, 2], [3, 1, 21, 95, 67, 81, 95, 13, 6, 2], [3, 1, 21, 96, 61, 96, 75, 28, 0, 3], [3, 1, 22, 89, 82, 61, 110, 7, 7, 2], [3, 1, 22, 90, 76, 76, 90, 22, 1, 3], [3, 1, 23, 83, 97, 41, 125, 1, 8, 2], [3, 1, 23, 84, 91, 56, 105, 16, 2, 3], [3, 1, 24, 78, 106, 36, 120, 10, 3, 3], [3, 1, 25, 72, 121, 16, 135, 4, 4, 3], [3, 2, 12, 126, 14, 126, 84, 2, 15, 0], [3, 2, 12, 127, 8, 141, 64, 17, 9, 1], [3, 2, 12, 128, 2, 156, 44, 32, 3, 2], [3, 2, 13, 121, 23, 121, 79, 11, 10, 1], [3, 2, 13, 122, 17, 136, 59, 26, 4, 2], [3, 2, 14, 115, 38, 101, 94, 5, 11, 1], [3, 2, 14, 116, 32, 116, 74, 20, 5, 2], [3, 2, 15, 110, 47, 96, 89, 14, 6, 2], [3, 2, 15, 111, 41, 111, 69, 29, 0, 3], [3, 2, 16, 104, 62, 76, 104, 8, 7, 2], [3, 2, 16, 105, 56, 91, 84, 23, 1, 3], [3, 2, 17, 98, 77, 56, 119, 2, 8, 2], [3, 2, 17, 99, 71, 71, 99, 17, 2, 3], [3, 2, 18, 93, 86, 51, 114, 11, 3, 3], [3, 2, 19, 87, 101, 31, 129, 5, 4, 3], [3, 2, 21, 76, 125, 6, 139, 8, 0, 4], [3, 3, 7, 136, 3, 136, 73, 12, 10, 1], [3, 3, 8, 130, 18, 116, 88, 6, 11, 1], [3, 3, 8, 131, 12, 131, 68, 21, 5, 2], [3, 3, 9, 124, 33, 96, 103, 0, 12, 1], [3, 3, 9, 125, 27, 111, 83, 15, 6, 2], [3, 3, 9, 126, 21, 126, 63, 30, 0, 3], [3, 3, 10, 119, 42, 91, 98, 9, 7, 2], [3, 3, 10, 120, 36, 106, 78, 24, 1, 3], [3, 3, 11, 113, 57, 71, 113, 3, 8, 2], [3, 3, 11, 114, 51, 86, 93, 18, 2, 3], [3, 3, 12, 108, 66, 66, 108, 12, 3, 3], [3, 3, 13, 102, 81, 46, 123, 6, 4, 3], [3, 3, 14, 96, 96, 26, 138, 0, 5, 3], [3, 3, 15, 91, 105, 21, 133, 9, 0, 4], [3, 3, 16, 85, 120, 1, 148, 3, 1, 4], [3, 4, 3, 139, 13, 111, 97, 1, 12, 1], [3, 4, 3, 140, 7, 126, 77, 16, 6, 2], [3, 4, 3, 141, 1, 141, 57, 31, 0, 3], [3, 4, 4, 134, 22, 106, 92, 10, 7, 2], [3, 4, 4, 135, 16, 121, 72, 25, 1, 3], [3, 4, 5, 128, 37, 86, 107, 4, 8, 2], [3, 4, 5, 129, 31, 101, 87, 19, 2, 3], [3, 4, 6, 123, 46, 81, 102, 13, 3, 3], [3, 4, 7, 117, 61, 61, 117, 7, 4, 3], [3, 4, 8, 111, 76, 41, 132, 1, 5, 3], [3, 4, 9, 106, 85, 36, 127, 10, 0, 4], [3, 4, 10, 100, 100, 16, 142, 4, 1, 4], [3, 5, 0, 138, 26, 96, 96, 14, 3, 3], [3, 5, 1, 132, 41, 76, 111, 8, 4, 3], [3, 5, 2, 126, 56, 56, 126, 2, 5, 3], [3, 5, 3, 121, 65, 51, 121, 11, 0, 4], [3, 5, 4, 115, 80, 31, 136, 5, 1, 4], [4, 0, 8, 138, 12, 110, 96, 6, 8, 2], [4, 0, 8, 139, 6, 125, 76, 21, 2, 3], [4, 0, 9, 132, 27, 90, 111, 0, 9, 2], [4, 0, 9, 133, 21, 105, 91, 15, 3, 3], [4, 0, 10, 127, 36, 85, 106, 9, 4, 3], [4, 0, 11, 121, 51, 65, 121, 3, 5, 3], [4, 0, 12, 116, 60, 60, 116, 12, 0, 4], [4, 0, 13, 110, 75, 40, 131, 6, 1, 4], [4, 0, 14, 104, 90, 20, 146, 0, 2, 4], [4, 1, 3, 147, 7, 105, 105, 1, 9, 2], [4, 1, 3, 148, 1, 120, 85, 16, 3, 3], [4, 1, 4, 142, 16, 100, 100, 10, 4, 3], [4, 1, 5, 136, 31, 80, 115, 4, 5, 3], [4, 1, 6, 131, 40, 75, 110, 13, 0, 4], [4, 1, 7, 125, 55, 55, 125, 7, 1, 4], [4, 1, 8, 119, 70, 35, 140, 1, 2, 4], [4, 2, 0, 146, 20, 90, 104, 14, 0, 4], [4, 2, 1, 140, 35, 70, 119, 8, 1, 4], [4, 2, 2, 134, 50, 50, 134, 2, 2, 4]}
(10, 384, 5) has 1188 possible DDs: {[1, 0, 18, 76, 0, 168, 70, 12, 39, 0, 0], [1, 0, 19, 70, 15, 148, 85, 6, 40, 0, 0], [1, 0, 19, 71, 9, 163, 65, 21, 34, 1, 0], [1, 0, 19, 72, 3, 178, 45, 36, 28, 2, 0], [1, 0, 20, 64, 30, 128, 100, 0, 41, 0, 0], [1, 0, 20, 65, 24, 143, 80, 15, 35, 1, 0], [1, 0, 20, 66, 18, 158, 60, 30, 29, 2, 0], [1, 0, 20, 67, 12, 173, 40, 45, 23, 3, 0], [1, 0, 20, 68, 6, 188, 20, 60, 17, 4, 0], [1, 0, 20, 69, 0, 203, 0, 75, 11, 5, 0], [1, 0, 21, 59, 39, 123, 95, 9, 36, 1, 0], [1, 0, 21, 60, 33, 138, 75, 24, 30, 2, 0], [1, 0, 21, 61, 27, 153, 55, 39, 24, 3, 0], [1, 0, 21, 62, 21, 168, 35, 54, 18, 4, 0], [1, 0, 21, 63, 15, 183, 15, 69, 12, 5, 0], [1, 0, 21, 64, 10, 192, 10, 64, 21, 0, 1], [1, 0, 22, 53, 54, 103, 110, 3, 37, 1, 0], [1, 0, 22, 54, 48, 118, 90, 18, 31, 2, 0], [1, 0, 22, 55, 42, 133, 70, 33, 25, 3, 0], [1, 0, 22, 56, 36, 148, 50, 48, 19, 4, 0], [1, 0, 22, 57, 30, 163, 30, 63, 13, 5, 0], [1, 0, 22, 58, 24, 178, 10, 78, 7, 6, 0], [1, 0, 22, 58, 25, 172, 25, 58, 22, 0, 1], [1, 0, 22, 59, 19, 187, 5, 73, 16, 1, 1], [1, 0, 23, 48, 63, 98, 105, 12, 32, 2, 0], [1, 0, 23, 49, 57, 113, 85, 27, 26, 3, 0], [1, 0, 23, 50, 51, 128, 65, 42, 20, 4, 0], [1, 0, 23, 51, 45, 143, 45, 57, 14, 5, 0], [1, 0, 23, 52, 39, 158, 25, 72, 8, 6, 0], [1, 0, 23, 52, 40, 152, 40, 52, 23, 0, 1], [1, 0, 23, 53, 33, 173, 5, 87, 2, 7, 0], [1, 0, 23, 53, 34, 167, 20, 67, 17, 1, 1], [1, 0, 23, 54, 28, 182, 0, 82, 11, 2, 1], [1, 0, 24, 42, 78, 78, 120, 6, 33, 2, 0], [1, 0, 24, 43, 72, 93, 100, 21, 27, 3, 0], [1, 0, 24, 44, 66, 108, 80, 36, 21, 4, 0], [1, 0, 24, 45, 60, 123, 60, 51, 15, 5, 0], [1, 0, 24, 46, 54, 138, 40, 66, 9, 6, 0], [1, 0, 24, 46, 55, 132, 55, 46, 24, 0, 1], [1, 0, 24, 47, 48, 153, 20, 81, 3, 7, 0], [1, 0, 24, 47, 49, 147, 35, 61, 18, 1, 1], [1, 0, 24, 48, 43, 162, 15, 76, 12, 2, 1], [1, 0, 25, 36, 93, 58, 135, 0, 34, 2, 0], [1, 0, 25, 37, 87, 73, 115, 15, 28, 3, 0], [1, 0, 25, 38, 81, 88, 95, 30, 22, 4, 0], [1, 0, 25, 39, 75, 103, 75, 45, 16, 5, 0], [1, 0, 25, 40, 69, 118, 55, 60, 10, 6, 0], [1, 0, 25, 40, 70, 112, 70, 40, 25, 0, 1], [1, 0, 25, 41, 63, 133, 35, 75, 4, 7, 0], [1, 0, 25, 41, 64, 127, 50, 55, 19, 1, 1], [1, 0, 25, 42, 58, 142, 30, 70, 13, 2, 1], [1, 0, 25, 43, 52, 157, 10, 85, 7, 3, 1], [1, 0, 26, 31, 102, 53, 130, 9, 29, 3, 0], [1, 0, 26, 32, 96, 68, 110, 24, 23, 4, 0], [1, 0, 26, 33, 90, 83, 90, 39, 17, 5, 0], [1, 0, 26, 34, 84, 98, 70, 54, 11, 6, 0], [1, 0, 26, 34, 85, 92, 85, 34, 26, 0, 1], [1, 0, 26, 35, 78, 113, 50, 69, 5, 7, 0], [1, 0, 26, 35, 79, 107, 65, 49, 20, 1, 1], [1, 0, 26, 36, 73, 122, 45, 64, 14, 2, 1], [1, 0, 26, 37, 67, 137, 25, 79, 8, 3, 1], [1, 0, 26, 38, 61, 152, 5, 94, 2, 4, 1], [1, 0, 27, 25, 117, 33, 145, 3, 30, 3, 0], [1, 0, 27, 26, 111, 48, 125, 18, 24, 4, 0], [1, 0, 27, 27, 105, 63, 105, 33, 18, 5, 0], [1, 0, 27, 28, 99, 78, 85, 48, 12, 6, 0], [1, 0, 27, 28, 100, 72, 100, 28, 27, 0, 1], [1, 0, 27, 29, 93, 93, 65, 63, 6, 7, 0], [1, 0, 27, 29, 94, 87, 80, 43, 21, 1, 1], [1, 0, 27, 30, 87, 108, 45, 78, 0, 8, 0], [1, 0, 27, 30, 88, 102, 60, 58, 15, 2, 1], [1, 0, 27, 31, 82, 117, 40, 73, 9, 3, 1], [1, 0, 27, 32, 76, 132, 20, 88, 3, 4, 1], [1, 0, 28, 20, 126, 28, 140, 12, 25, 4, 0], [1, 0, 28, 21, 120, 43, 120, 27, 19, 5, 0], [1, 0, 28, 22, 114, 58, 100, 42, 13, 6, 0], [1, 0, 28, 22, 115, 52, 115, 22, 28, 0, 1], [1, 0, 28, 23, 108, 73, 80, 57, 7, 7, 0], [1, 0, 28, 23, 109, 67, 95, 37, 22, 1, 1], [1, 0, 28, 24, 102, 88, 60, 72, 1, 8, 0], [1, 0, 28, 24, 103, 82, 75, 52, 16, 2, 1], [1, 0, 28, 25, 97, 97, 55, 67, 10, 3, 1], [1, 0, 28, 26, 91, 112, 35, 82, 4, 4, 1], [1, 0, 28, 28, 80, 136, 10, 92, 7, 0, 2], [1, 0, 29, 14, 141, 8, 155, 6, 26, 4, 0], [1, 0, 29, 15, 135, 23, 135, 21, 20, 5, 0], [1, 0, 29, 16, 129, 38, 115, 36, 14, 6, 0], [1, 0, 29, 16, 130, 32, 130, 16, 29, 0, 1], [1, 0, 29, 17, 123, 53, 95, 51, 8, 7, 0], [1, 0, 29, 17, 124, 47, 110, 31, 23, 1, 1], [1, 0, 29, 18, 117, 68, 75, 66, 2, 8, 0], [1, 0, 29, 18, 118, 62, 90, 46, 17, 2, 1], [1, 0, 29, 19, 112, 77, 70, 61, 11, 3, 1], [1, 0, 29, 20, 106, 92, 50, 76, 5, 4, 1], [1, 0, 29, 22, 95, 116, 25, 86, 8, 0, 2], [1, 0, 29, 23, 89, 131, 5, 101, 2, 1, 2], [1, 0, 30, 9, 150, 3, 150, 15, 21, 5, 0], [1, 0, 30, 10, 144, 18, 130, 30, 15, 6, 0], [1, 0, 30, 10, 145, 12, 145, 10, 30, 0, 1], [1, 0, 30, 11, 138, 33, 110, 45, 9, 7, 0], [1, 0, 30, 11, 139, 27, 125, 25, 24, 1, 1], [1, 0, 30, 12, 132, 48, 90, 60, 3, 8, 0], [1, 0, 30, 12, 133, 42, 105, 40, 18, 2, 1], [1, 0, 30, 13, 127, 57, 85, 55, 12, 3, 1], [1, 0, 30, 14, 121, 72, 65, 70, 6, 4, 1], [1, 0, 30, 15, 115, 87, 45, 85, 0, 5, 1], [1, 0, 30, 16, 110, 96, 40, 80, 9, 0, 2], [1, 0, 30, 17, 104, 111, 20, 95, 3, 1, 2], [1, 0, 31, 5, 153, 13, 125, 39, 10, 7, 0], [1, 0, 31, 5, 154, 7, 140, 19, 25, 1, 1], [1, 0, 31, 6, 147, 28, 105, 54, 4, 8, 0], [1, 0, 31, 6, 148, 22, 120, 34, 19, 2, 1], [1, 0, 31, 7, 142, 37, 100, 49, 13, 3, 1], [1, 0, 31, 8, 136, 52, 80, 64, 7, 4, 1], [1, 0, 31, 9, 130, 67, 60, 79, 1, 5, 1], [1, 0, 31, 10, 125, 76, 55, 74, 10, 0, 2], [1, 0, 31, 11, 119, 91, 35, 89, 4, 1, 2], [1, 0, 32, 0, 162, 8, 120, 48, 5, 8, 0], [1, 0, 32, 0, 163, 2, 135, 28, 20, 2, 1], [1, 0, 32, 1, 157, 17, 115, 43, 14, 3, 1], [1, 0, 32, 2, 151, 32, 95, 58, 8, 4, 1], [1, 0, 32, 3, 145, 47, 75, 73, 2, 5, 1], [1, 0, 32, 4, 140, 56, 70, 68, 11, 0, 2], [1, 0, 32, 5, 134, 71, 50, 83, 5, 1, 2], [1, 0, 33, 0, 143, 66, 45, 92, 0, 2, 2], [1, 1, 14, 79, 10, 143, 94, 1, 41, 0, 0], [1, 1, 14, 80, 4, 158, 74, 16, 35, 1, 0], [1, 1, 15, 74, 19, 138, 89, 10, 36, 1, 0], [1, 1, 15, 75, 13, 153, 69, 25, 30, 2, 0], [1, 1, 15, 76, 7, 168, 49, 40, 24, 3, 0], [1, 1, 15, 77, 1, 183, 29, 55, 18, 4, 0], [1, 1, 16, 68, 34, 118, 104, 4, 37, 1, 0], [1, 1, 16, 69, 28, 133, 84, 19, 31, 2, 0], [1, 1, 16, 70, 22, 148, 64, 34, 25, 3, 0], [1, 1, 16, 71, 16, 163, 44, 49, 19, 4, 0], [1, 1, 16, 72, 10, 178, 24, 64, 13, 5, 0], [1, 1, 16, 73, 4, 193, 4, 79, 7, 6, 0], [1, 1, 16, 73, 5, 187, 19, 59, 22, 0, 1], [1, 1, 17, 63, 43, 113, 99, 13, 32, 2, 0], [1, 1, 17, 64, 37, 128, 79, 28, 26, 3, 0], [1, 1, 17, 65, 31, 143, 59, 43, 20, 4, 0], [1, 1, 17, 66, 25, 158, 39, 58, 14, 5, 0], [1, 1, 17, 67, 19, 173, 19, 73, 8, 6, 0], [1, 1, 17, 67, 20, 167, 34, 53, 23, 0, 1], [1, 1, 17, 68, 14, 182, 14, 68, 17, 1, 1], [1, 1, 18, 57, 58, 93, 114, 7, 33, 2, 0], [1, 1, 18, 58, 52, 108, 94, 22, 27, 3, 0], [1, 1, 18, 59, 46, 123, 74, 37, 21, 4, 0], [1, 1, 18, 60, 40, 138, 54, 52, 15, 5, 0], [1, 1, 18, 61, 34, 153, 34, 67, 9, 6, 0], [1, 1, 18, 61, 35, 147, 49, 47, 24, 0, 1], [1, 1, 18, 62, 28, 168, 14, 82, 3, 7, 0], [1, 1, 18, 62, 29, 162, 29, 62, 18, 1, 1], [1, 1, 18, 63, 23, 177, 9, 77, 12, 2, 1], [1, 1, 19, 51, 73, 73, 129, 1, 34, 2, 0], [1, 1, 19, 52, 67, 88, 109, 16, 28, 3, 0], [1, 1, 19, 53, 61, 103, 89, 31, 22, 4, 0], [1, 1, 19, 54, 55, 118, 69, 46, 16, 5, 0], [1, 1, 19, 55, 49, 133, 49, 61, 10, 6, 0], [1, 1, 19, 55, 50, 127, 64, 41, 25, 0, 1], [1, 1, 19, 56, 43, 148, 29, 76, 4, 7, 0], [1, 1, 19, 56, 44, 142, 44, 56, 19, 1, 1], [1, 1, 19, 57, 38, 157, 24, 71, 13, 2, 1], [1, 1, 19, 58, 32, 172, 4, 86, 7, 3, 1], [1, 1, 20, 46, 82, 68, 124, 10, 29, 3, 0], [1, 1, 20, 47, 76, 83, 104, 25, 23, 4, 0], [1, 1, 20, 48, 70, 98, 84, 40, 17, 5, 0], [1, 1, 20, 49, 64, 113, 64, 55, 11, 6, 0], [1, 1, 20, 49, 65, 107, 79, 35, 26, 0, 1], [1, 1, 20, 50, 58, 128, 44, 70, 5, 7, 0], [1, 1, 20, 50, 59, 122, 59, 50, 20, 1, 1], [1, 1, 20, 51, 53, 137, 39, 65, 14, 2, 1], [1, 1, 20, 52, 47, 152, 19, 80, 8, 3, 1], [1, 1, 21, 40, 97, 48, 139, 4, 30, 3, 0], [1, 1, 21, 41, 91, 63, 119, 19, 24, 4, 0], [1, 1, 21, 42, 85, 78, 99, 34, 18, 5, 0], [1, 1, 21, 43, 79, 93, 79, 49, 12, 6, 0], [1, 1, 21, 43, 80, 87, 94, 29, 27, 0, 1], [1, 1, 21, 44, 73, 108, 59, 64, 6, 7, 0], [1, 1, 21, 44, 74, 102, 74, 44, 21, 1, 1], [1, 1, 21, 45, 67, 123, 39, 79, 0, 8, 0], [1, 1, 21, 45, 68, 117, 54, 59, 15, 2, 1], [1, 1, 21, 46, 62, 132, 34, 74, 9, 3, 1], [1, 1, 21, 47, 56, 147, 14, 89, 3, 4, 1], [1, 1, 22, 35, 106, 43, 134, 13, 25, 4, 0], [1, 1, 22, 36, 100, 58, 114, 28, 19, 5, 0], [1, 1, 22, 37, 94, 73, 94, 43, 13, 6, 0], [1, 1, 22, 37, 95, 67, 109, 23, 28, 0, 1], [1, 1, 22, 38, 88, 88, 74, 58, 7, 7, 0], [1, 1, 22, 38, 89, 82, 89, 38, 22, 1, 1], [1, 1, 22, 39, 82, 103, 54, 73, 1, 8, 0], [1, 1, 22, 39, 83, 97, 69, 53, 16, 2, 1], [1, 1, 22, 40, 77, 112, 49, 68, 10, 3, 1], [1, 1, 22, 41, 71, 127, 29, 83, 4, 4, 1], [1, 1, 22, 43, 60, 151, 4, 93, 7, 0, 2], [1, 1, 23, 29, 121, 23, 149, 7, 26, 4, 0], [1, 1, 23, 30, 115, 38, 129, 22, 20, 5, 0], [1, 1, 23, 31, 109, 53, 109, 37, 14, 6, 0], [1, 1, 23, 31, 110, 47, 124, 17, 29, 0, 1], [1, 1, 23, 32, 103, 68, 89, 52, 8, 7, 0], [1, 1, 23, 32, 104, 62, 104, 32, 23, 1, 1], [1, 1, 23, 33, 97, 83, 69, 67, 2, 8, 0], [1, 1, 23, 33, 98, 77, 84, 47, 17, 2, 1], [1, 1, 23, 34, 92, 92, 64, 62, 11, 3, 1], [1, 1, 23, 35, 86, 107, 44, 77, 5, 4, 1], [1, 1, 23, 37, 75, 131, 19, 87, 8, 0, 2], [1, 1, 24, 23, 136, 3, 164, 1, 27, 4, 0], [1, 1, 24, 24, 130, 18, 144, 16, 21, 5, 0], [1, 1, 24, 25, 124, 33, 124, 31, 15, 6, 0], [1, 1, 24, 25, 125, 27, 139, 11, 30, 0, 1], [1, 1, 24, 26, 118, 48, 104, 46, 9, 7, 0], [1, 1, 24, 26, 119, 42, 119, 26, 24, 1, 1], [1, 1, 24, 27, 112, 63, 84, 61, 3, 8, 0], [1, 1, 24, 27, 113, 57, 99, 41, 18, 2, 1], [1, 1, 24, 28, 107, 72, 79, 56, 12, 3, 1], [1, 1, 24, 29, 101, 87, 59, 71, 6, 4, 1], [1, 1, 24, 30, 95, 102, 39, 86, 0, 5, 1], [1, 1, 24, 31, 90, 111, 34, 81, 9, 0, 2], [1, 1, 24, 32, 84, 126, 14, 96, 3, 1, 2], [1, 1, 25, 19, 139, 13, 139, 25, 16, 6, 0], [1, 1, 25, 19, 140, 7, 154, 5, 31, 0, 1], [1, 1, 25, 20, 133, 28, 119, 40, 10, 7, 0], [1, 1, 25, 20, 134, 22, 134, 20, 25, 1, 1], [1, 1, 25, 21, 127, 43, 99, 55, 4, 8, 0], [1, 1, 25, 21, 128, 37, 114, 35, 19, 2, 1], [1, 1, 25, 22, 122, 52, 94, 50, 13, 3, 1], [1, 1, 25, 23, 116, 67, 74, 65, 7, 4, 1], [1, 1, 25, 24, 110, 82, 54, 80, 1, 5, 1], [1, 1, 25, 25, 105, 91, 49, 75, 10, 0, 2], [1, 1, 25, 26, 99, 106, 29, 90, 4, 1, 2], [1, 1, 26, 14, 148, 8, 134, 34, 11, 7, 0], [1, 1, 26, 14, 149, 2, 149, 14, 26, 1, 1], [1, 1, 26, 15, 142, 23, 114, 49, 5, 8, 0], [1, 1, 26, 15, 143, 17, 129, 29, 20, 2, 1], [1, 1, 26, 16, 137, 32, 109, 44, 14, 3, 1], [1, 1, 26, 17, 131, 47, 89, 59, 8, 4, 1], [1, 1, 26, 18, 125, 62, 69, 74, 2, 5, 1], [1, 1, 26, 19, 120, 71, 64, 69, 11, 0, 2], [1, 1, 26, 20, 114, 86, 44, 84, 5, 1, 2], [1, 1, 27, 9, 157, 3, 129, 43, 6, 8, 0], [1, 1, 27, 10, 151, 18, 109, 58, 0, 9, 0], [1, 1, 27, 10, 152, 12, 124, 38, 15, 3, 1], [1, 1, 27, 11, 146, 27, 104, 53, 9, 4, 1], [1, 1, 27, 12, 140, 42, 84, 68, 3, 5, 1], [1, 1, 27, 13, 135, 51, 79, 63, 12, 0, 2], [1, 1, 27, 14, 129, 66, 59, 78, 6, 1, 2], [1, 1, 27, 15, 123, 81, 39, 93, 0, 2, 2], [1, 1, 28, 5, 161, 7, 119, 47, 10, 4, 1], [1, 1, 28, 6, 155, 22, 99, 62, 4, 5, 1], [1, 1, 28, 7, 150, 31, 94, 57, 13, 0, 2], [1, 1, 28, 8, 144, 46, 74, 72, 7, 1, 2], [1, 1, 28, 9, 138, 61, 54, 87, 1, 2, 2], [1, 1, 29, 0, 170, 2, 114, 56, 5, 5, 1], [1, 1, 29, 1, 165, 11, 109, 51, 14, 0, 2], [1, 1, 29, 2, 159, 26, 89, 66, 8, 1, 2], [1, 1, 29, 3, 153, 41, 69, 81, 2, 2, 2], [1, 2, 10, 83, 14, 133, 98, 5, 37, 1, 0], [1, 2, 10, 84, 8, 148, 78, 20, 31, 2, 0], [1, 2, 10, 85, 2, 163, 58, 35, 25, 3, 0], [1, 2, 11, 78, 23, 128, 93, 14, 32, 2, 0], [1, 2, 11, 79, 17, 143, 73, 29, 26, 3, 0], [1, 2, 11, 80, 11, 158, 53, 44, 20, 4, 0], [1, 2, 11, 81, 5, 173, 33, 59, 14, 5, 0], [1, 2, 11, 82, 0, 182, 28, 54, 23, 0, 1], [1, 2, 12, 72, 38, 108, 108, 8, 33, 2, 0], [1, 2, 12, 73, 32, 123, 88, 23, 27, 3, 0], [1, 2, 12, 74, 26, 138, 68, 38, 21, 4, 0], [1, 2, 12, 75, 20, 153, 48, 53, 15, 5, 0], [1, 2, 12, 76, 14, 168, 28, 68, 9, 6, 0], [1, 2, 12, 76, 15, 162, 43, 48, 24, 0, 1], [1, 2, 12, 77, 8, 183, 8, 83, 3, 7, 0], [1, 2, 12, 77, 9, 177, 23, 63, 18, 1, 1], [1, 2, 12, 78, 3, 192, 3, 78, 12, 2, 1], [1, 2, 13, 66, 53, 88, 123, 2, 34, 2, 0], [1, 2, 13, 67, 47, 103, 103, 17, 28, 3, 0], [1, 2, 13, 68, 41, 118, 83, 32, 22, 4, 0], [1, 2, 13, 69, 35, 133, 63, 47, 16, 5, 0], [1, 2, 13, 70, 29, 148, 43, 62, 10, 6, 0], [1, 2, 13, 70, 30, 142, 58, 42, 25, 0, 1], [1, 2, 13, 71, 23, 163, 23, 77, 4, 7, 0], [1, 2, 13, 71, 24, 157, 38, 57, 19, 1, 1], [1, 2, 13, 72, 18, 172, 18, 72, 13, 2, 1], [1, 2, 14, 61, 62, 83, 118, 11, 29, 3, 0], [1, 2, 14, 62, 56, 98, 98, 26, 23, 4, 0], [1, 2, 14, 63, 50, 113, 78, 41, 17, 5, 0], [1, 2, 14, 64, 44, 128, 58, 56, 11, 6, 0], [1, 2, 14, 64, 45, 122, 73, 36, 26, 0, 1], [1, 2, 14, 65, 38, 143, 38, 71, 5, 7, 0], [1, 2, 14, 65, 39, 137, 53, 51, 20, 1, 1], [1, 2, 14, 66, 33, 152, 33, 66, 14, 2, 1], [1, 2, 14, 67, 27, 167, 13, 81, 8, 3, 1], [1, 2, 15, 55, 77, 63, 133, 5, 30, 3, 0], [1, 2, 15, 56, 71, 78, 113, 20, 24, 4, 0], [1, 2, 15, 57, 65, 93, 93, 35, 18, 5, 0], [1, 2, 15, 58, 59, 108, 73, 50, 12, 6, 0], [1, 2, 15, 58, 60, 102, 88, 30, 27, 0, 1], [1, 2, 15, 59, 53, 123, 53, 65, 6, 7, 0], [1, 2, 15, 59, 54, 117, 68, 45, 21, 1, 1], [1, 2, 15, 60, 47, 138, 33, 80, 0, 8, 0], [1, 2, 15, 60, 48, 132, 48, 60, 15, 2, 1], [1, 2, 15, 61, 42, 147, 28, 75, 9, 3, 1], [1, 2, 15, 62, 36, 162, 8, 90, 3, 4, 1], [1, 2, 16, 50, 86, 58, 128, 14, 25, 4, 0], [1, 2, 16, 51, 80, 73, 108, 29, 19, 5, 0], [1, 2, 16, 52, 74, 88, 88, 44, 13, 6, 0], [1, 2, 16, 52, 75, 82, 103, 24, 28, 0, 1], [1, 2, 16, 53, 68, 103, 68, 59, 7, 7, 0], [1, 2, 16, 53, 69, 97, 83, 39, 22, 1, 1], [1, 2, 16, 54, 62, 118, 48, 74, 1, 8, 0], [1, 2, 16, 54, 63, 112, 63, 54, 16, 2, 1], [1, 2, 16, 55, 57, 127, 43, 69, 10, 3, 1], [1, 2, 16, 56, 51, 142, 23, 84, 4, 4, 1], [1, 2, 17, 44, 101, 38, 143, 8, 26, 4, 0], [1, 2, 17, 45, 95, 53, 123, 23, 20, 5, 0], [1, 2, 17, 46, 89, 68, 103, 38, 14, 6, 0], [1, 2, 17, 46, 90, 62, 118, 18, 29, 0, 1], [1, 2, 17, 47, 83, 83, 83, 53, 8, 7, 0], [1, 2, 17, 47, 84, 77, 98, 33, 23, 1, 1], [1, 2, 17, 48, 77, 98, 63, 68, 2, 8, 0], [1, 2, 17, 48, 78, 92, 78, 48, 17, 2, 1], [1, 2, 17, 49, 72, 107, 58, 63, 11, 3, 1], [1, 2, 17, 50, 66, 122, 38, 78, 5, 4, 1], [1, 2, 17, 52, 55, 146, 13, 88, 8, 0, 2], [1, 2, 18, 38, 116, 18, 158, 2, 27, 4, 0], [1, 2, 18, 39, 110, 33, 138, 17, 21, 5, 0], [1, 2, 18, 40, 104, 48, 118, 32, 15, 6, 0], [1, 2, 18, 40, 105, 42, 133, 12, 30, 0, 1], [1, 2, 18, 41, 98, 63, 98, 47, 9, 7, 0], [1, 2, 18, 41, 99, 57, 113, 27, 24, 1, 1], [1, 2, 18, 42, 92, 78, 78, 62, 3, 8, 0], [1, 2, 18, 42, 93, 72, 93, 42, 18, 2, 1], [1, 2, 18, 43, 87, 87, 73, 57, 12, 3, 1], [1, 2, 18, 44, 81, 102, 53, 72, 6, 4, 1], [1, 2, 18, 45, 75, 117, 33, 87, 0, 5, 1], [1, 2, 18, 46, 70, 126, 28, 82, 9, 0, 2], [1, 2, 18, 47, 64, 141, 8, 97, 3, 1, 2], [1, 2, 19, 33, 125, 13, 153, 11, 22, 5, 0], [1, 2, 19, 34, 119, 28, 133, 26, 16, 6, 0], [1, 2, 19, 34, 120, 22, 148, 6, 31, 0, 1], [1, 2, 19, 35, 113, 43, 113, 41, 10, 7, 0], [1, 2, 19, 35, 114, 37, 128, 21, 25, 1, 1], [1, 2, 19, 36, 107, 58, 93, 56, 4, 8, 0], [1, 2, 19, 36, 108, 52, 108, 36, 19, 2, 1], [1, 2, 19, 37, 102, 67, 88, 51, 13, 3, 1], [1, 2, 19, 38, 96, 82, 68, 66, 7, 4, 1], [1, 2, 19, 39, 90, 97, 48, 81, 1, 5, 1], [1, 2, 19, 40, 85, 106, 43, 76, 10, 0, 2], [1, 2, 19, 41, 79, 121, 23, 91, 4, 1, 2], [1, 2, 20, 28, 134, 8, 148, 20, 17, 6, 0], [1, 2, 20, 28, 135, 2, 163, 0, 32, 0, 1], [1, 2, 20, 29, 128, 23, 128, 35, 11, 7, 0], [1, 2, 20, 29, 129, 17, 143, 15, 26, 1, 1], [1, 2, 20, 30, 122, 38, 108, 50, 5, 8, 0], [1, 2, 20, 30, 123, 32, 123, 30, 20, 2, 1], [1, 2, 20, 31, 117, 47, 103, 45, 14, 3, 1], [1, 2, 20, 32, 111, 62, 83, 60, 8, 4, 1], [1, 2, 20, 33, 105, 77, 63, 75, 2, 5, 1], [1, 2, 20, 34, 100, 86, 58, 70, 11, 0, 2], [1, 2, 20, 35, 94, 101, 38, 85, 5, 1, 2], [1, 2, 21, 23, 143, 3, 143, 29, 12, 7, 0], [1, 2, 21, 24, 137, 18, 123, 44, 6, 8, 0], [1, 2, 21, 24, 138, 12, 138, 24, 21, 2, 1], [1, 2, 21, 25, 131, 33, 103, 59, 0, 9, 0], [1, 2, 21, 25, 132, 27, 118, 39, 15, 3, 1], [1, 2, 21, 26, 126, 42, 98, 54, 9, 4, 1], [1, 2, 21, 27, 120, 57, 78, 69, 3, 5, 1], [1, 2, 21, 28, 115, 66, 73, 64, 12, 0, 2], [1, 2, 21, 29, 109, 81, 53, 79, 6, 1, 2], [1, 2, 21, 30, 103, 96, 33, 94, 0, 2, 2], [1, 2, 22, 19, 146, 13, 118, 53, 1, 9, 0], [1, 2, 22, 19, 147, 7, 133, 33, 16, 3, 1], [1, 2, 22, 20, 141, 22, 113, 48, 10, 4, 1], [1, 2, 22, 21, 135, 37, 93, 63, 4, 5, 1], [1, 2, 22, 22, 130, 46, 88, 58, 13, 0, 2], [1, 2, 22, 23, 124, 61, 68, 73, 7, 1, 2], [1, 2, 22, 24, 118, 76, 48, 88, 1, 2, 2], [1, 2, 23, 14, 156, 2, 128, 42, 11, 4, 1], [1, 2, 23, 15, 150, 17, 108, 57, 5, 5, 1], [1, 2, 23, 16, 145, 26, 103, 52, 14, 0, 2], [1, 2, 23, 17, 139, 41, 83, 67, 8, 1, 2], [1, 2, 23, 18, 133, 56, 63, 82, 2, 2, 2], [1, 2, 24, 10, 159, 12, 103, 66, 0, 6, 1], [1, 2, 24, 10, 160, 6, 118, 46, 15, 0, 2], [1, 2, 24, 11, 154, 21, 98, 61, 9, 1, 2], [1, 2, 24, 12, 148, 36, 78, 76, 3, 2, 2], [1, 2, 25, 5, 169, 1, 113, 55, 10, 1, 2], [1, 2, 25, 6, 163, 16, 93, 70, 4, 2, 2], [1, 3, 5, 92, 9, 128, 107, 0, 38, 1, 0], [1, 3, 5, 93, 3, 143, 87, 15, 32, 2, 0], [1, 3, 6, 87, 18, 123, 102, 9, 33, 2, 0], [1, 3, 6, 88, 12, 138, 82, 24, 27, 3, 0], [1, 3, 6, 89, 6, 153, 62, 39, 21, 4, 0], [1, 3, 6, 90, 0, 168, 42, 54, 15, 5, 0], [1, 3, 7, 81, 33, 103, 117, 3, 34, 2, 0], [1, 3, 7, 82, 27, 118, 97, 18, 28, 3, 0], [1, 3, 7, 83, 21, 133, 77, 33, 22, 4, 0], [1, 3, 7, 84, 15, 148, 57, 48, 16, 5, 0], [1, 3, 7, 85, 9, 163, 37, 63, 10, 6, 0], [1, 3, 7, 85, 10, 157, 52, 43, 25, 0, 1], [1, 3, 7, 86, 3, 178, 17, 78, 4, 7, 0], [1, 3, 7, 86, 4, 172, 32, 58, 19, 1, 1], [1, 3, 8, 76, 42, 98, 112, 12, 29, 3, 0], [1, 3, 8, 77, 36, 113, 92, 27, 23, 4, 0], [1, 3, 8, 78, 30, 128, 72, 42, 17, 5, 0], [1, 3, 8, 79, 24, 143, 52, 57, 11, 6, 0], [1, 3, 8, 79, 25, 137, 67, 37, 26, 0, 1], [1, 3, 8, 80, 18, 158, 32, 72, 5, 7, 0], [1, 3, 8, 80, 19, 152, 47, 52, 20, 1, 1], [1, 3, 8, 81, 13, 167, 27, 67, 14, 2, 1], [1, 3, 8, 82, 7, 182, 7, 82, 8, 3, 1], [1, 3, 9, 70, 57, 78, 127, 6, 30, 3, 0], [1, 3, 9, 71, 51, 93, 107, 21, 24, 4, 0], [1, 3, 9, 72, 45, 108, 87, 36, 18, 5, 0], [1, 3, 9, 73, 39, 123, 67, 51, 12, 6, 0], [1, 3, 9, 73, 40, 117, 82, 31, 27, 0, 1], [1, 3, 9, 74, 33, 138, 47, 66, 6, 7, 0], [1, 3, 9, 74, 34, 132, 62, 46, 21, 1, 1], [1, 3, 9, 75, 27, 153, 27, 81, 0, 8, 0], [1, 3, 9, 75, 28, 147, 42, 61, 15, 2, 1], [1, 3, 9, 76, 22, 162, 22, 76, 9, 3, 1], [1, 3, 9, 77, 16, 177, 2, 91, 3, 4, 1], [1, 3, 10, 64, 72, 58, 142, 0, 31, 3, 0], [1, 3, 10, 65, 66, 73, 122, 15, 25, 4, 0], [1, 3, 10, 66, 60, 88, 102, 30, 19, 5, 0], [1, 3, 10, 67, 54, 103, 82, 45, 13, 6, 0], [1, 3, 10, 67, 55, 97, 97, 25, 28, 0, 1], [1, 3, 10, 68, 48, 118, 62, 60, 7, 7, 0], [1, 3, 10, 68, 49, 112, 77, 40, 22, 1, 1], [1, 3, 10, 69, 42, 133, 42, 75, 1, 8, 0], [1, 3, 10, 69, 43, 127, 57, 55, 16, 2, 1], [1, 3, 10, 70, 37, 142, 37, 70, 10, 3, 1], [1, 3, 10, 71, 31, 157, 17, 85, 4, 4, 1], [1, 3, 11, 59, 81, 53, 137, 9, 26, 4, 0], [1, 3, 11, 60, 75, 68, 117, 24, 20, 5, 0], [1, 3, 11, 61, 69, 83, 97, 39, 14, 6, 0], [1, 3, 11, 61, 70, 77, 112, 19, 29, 0, 1], [1, 3, 11, 62, 63, 98, 77, 54, 8, 7, 0], [1, 3, 11, 62, 64, 92, 92, 34, 23, 1, 1], [1, 3, 11, 63, 57, 113, 57, 69, 2, 8, 0], [1, 3, 11, 63, 58, 107, 72, 49, 17, 2, 1], [1, 3, 11, 64, 52, 122, 52, 64, 11, 3, 1], [1, 3, 11, 65, 46, 137, 32, 79, 5, 4, 1], [1, 3, 11, 67, 35, 161, 7, 89, 8, 0, 2], [1, 3, 12, 53, 96, 33, 152, 3, 27, 4, 0], [1, 3, 12, 54, 90, 48, 132, 18, 21, 5, 0], [1, 3, 12, 55, 84, 63, 112, 33, 15, 6, 0], [1, 3, 12, 55, 85, 57, 127, 13, 30, 0, 1], [1, 3, 12, 56, 78, 78, 92, 48, 9, 7, 0], [1, 3, 12, 56, 79, 72, 107, 28, 24, 1, 1], [1, 3, 12, 57, 72, 93, 72, 63, 3, 8, 0], [1, 3, 12, 57, 73, 87, 87, 43, 18, 2, 1], [1, 3, 12, 58, 67, 102, 67, 58, 12, 3, 1], [1, 3, 12, 59, 61, 117, 47, 73, 6, 4, 1], [1, 3, 12, 60, 55, 132, 27, 88, 0, 5, 1], [1, 3, 12, 61, 50, 141, 22, 83, 9, 0, 2], [1, 3, 12, 62, 44, 156, 2, 98, 3, 1, 2], [1, 3, 13, 48, 105, 28, 147, 12, 22, 5, 0], [1, 3, 13, 49, 99, 43, 127, 27, 16, 6, 0], [1, 3, 13, 49, 100, 37, 142, 7, 31, 0, 1], [1, 3, 13, 50, 93, 58, 107, 42, 10, 7, 0], [1, 3, 13, 50, 94, 52, 122, 22, 25, 1, 1], [1, 3, 13, 51, 87, 73, 87, 57, 4, 8, 0], [1, 3, 13, 51, 88, 67, 102, 37, 19, 2, 1], [1, 3, 13, 52, 82, 82, 82, 52, 13, 3, 1], [1, 3, 13, 53, 76, 97, 62, 67, 7, 4, 1], [1, 3, 13, 54, 70, 112, 42, 82, 1, 5, 1], [1, 3, 13, 55, 65, 121, 37, 77, 10, 0, 2], [1, 3, 13, 56, 59, 136, 17, 92, 4, 1, 2], [1, 3, 14, 42, 120, 8, 162, 6, 23, 5, 0], [1, 3, 14, 43, 114, 23, 142, 21, 17, 6, 0], [1, 3, 14, 43, 115, 17, 157, 1, 32, 0, 1], [1, 3, 14, 44, 108, 38, 122, 36, 11, 7, 0], [1, 3, 14, 44, 109, 32, 137, 16, 26, 1, 1], [1, 3, 14, 45, 102, 53, 102, 51, 5, 8, 0], [1, 3, 14, 45, 103, 47, 117, 31, 20, 2, 1], [1, 3, 14, 46, 97, 62, 97, 46, 14, 3, 1], [1, 3, 14, 47, 91, 77, 77, 61, 8, 4, 1], [1, 3, 14, 48, 85, 92, 57, 76, 2, 5, 1], [1, 3, 14, 49, 80, 101, 52, 71, 11, 0, 2], [1, 3, 14, 50, 74, 116, 32, 86, 5, 1, 2], [1, 3, 15, 37, 129, 3, 157, 15, 18, 6, 0], [1, 3, 15, 38, 123, 18, 137, 30, 12, 7, 0], [1, 3, 15, 38, 124, 12, 152, 10, 27, 1, 1], [1, 3, 15, 39, 117, 33, 117, 45, 6, 8, 0], [1, 3, 15, 39, 118, 27, 132, 25, 21, 2, 1], [1, 3, 15, 40, 111, 48, 97, 60, 0, 9, 0], [1, 3, 15, 40, 112, 42, 112, 40, 15, 3, 1], [1, 3, 15, 41, 106, 57, 92, 55, 9, 4, 1], [1, 3, 15, 42, 100, 72, 72, 70, 3, 5, 1], [1, 3, 15, 43, 95, 81, 67, 65, 12, 0, 2], [1, 3, 15, 44, 89, 96, 47, 80, 6, 1, 2], [1, 3, 15, 45, 83, 111, 27, 95, 0, 2, 2], [1, 3, 16, 33, 132, 13, 132, 39, 7, 8, 0], [1, 3, 16, 33, 133, 7, 147, 19, 22, 2, 1], [1, 3, 16, 34, 126, 28, 112, 54, 1, 9, 0], [1, 3, 16, 34, 127, 22, 127, 34, 16, 3, 1], [1, 3, 16, 35, 121, 37, 107, 49, 10, 4, 1], [1, 3, 16, 36, 115, 52, 87, 64, 4, 5, 1], [1, 3, 16, 37, 110, 61, 82, 59, 13, 0, 2], [1, 3, 16, 38, 104, 76, 62, 74, 7, 1, 2], [1, 3, 16, 39, 98, 91, 42, 89, 1, 2, 2], [1, 3, 17, 28, 141, 8, 127, 48, 2, 9, 0], [1, 3, 17, 28, 142, 2, 142, 28, 17, 3, 1], [1, 3, 17, 29, 136, 17, 122, 43, 11, 4, 1], [1, 3, 17, 30, 130, 32, 102, 58, 5, 5, 1], [1, 3, 17, 31, 125, 41, 97, 53, 14, 0, 2], [1, 3, 17, 32, 119, 56, 77, 68, 8, 1, 2], [1, 3, 17, 33, 113, 71, 57, 83, 2, 2, 2], [1, 3, 18, 24, 145, 12, 117, 52, 6, 5, 1], [1, 3, 18, 25, 139, 27, 97, 67, 0, 6, 1], [1, 3, 18, 25, 140, 21, 112, 47, 15, 0, 2], [1, 3, 18, 26, 134, 36, 92, 62, 9, 1, 2], [1, 3, 18, 27, 128, 51, 72, 77, 3, 2, 2], [1, 3, 19, 19, 154, 7, 112, 61, 1, 6, 1], [1, 3, 19, 19, 155, 1, 127, 41, 16, 0, 2], [1, 3, 19, 20, 149, 16, 107, 56, 10, 1, 2], [1, 3, 19, 21, 143, 31, 87, 71, 4, 2, 2], [1, 3, 20, 15, 158, 11, 102, 65, 5, 2, 2], [1, 3, 21, 10, 167, 6, 97, 74, 0, 3, 2], [1, 4, 1, 96, 13, 118, 111, 4, 34, 2, 0], [1, 4, 1, 97, 7, 133, 91, 19, 28, 3, 0], [1, 4, 1, 98, 1, 148, 71, 34, 22, 4, 0], [1, 4, 2, 91, 22, 113, 106, 13, 29, 3, 0], [1, 4, 2, 92, 16, 128, 86, 28, 23, 4, 0], [1, 4, 2, 93, 10, 143, 66, 43, 17, 5, 0], [1, 4, 2, 94, 4, 158, 46, 58, 11, 6, 0], [1, 4, 2, 94, 5, 152, 61, 38, 26, 0, 1], [1, 4, 3, 85, 37, 93, 121, 7, 30, 3, 0], [1, 4, 3, 86, 31, 108, 101, 22, 24, 4, 0], [1, 4, 3, 87, 25, 123, 81, 37, 18, 5, 0], [1, 4, 3, 88, 19, 138, 61, 52, 12, 6, 0], [1, 4, 3, 88, 20, 132, 76, 32, 27, 0, 1], [1, 4, 3, 89, 13, 153, 41, 67, 6, 7, 0], [1, 4, 3, 89, 14, 147, 56, 47, 21, 1, 1], [1, 4, 3, 90, 7, 168, 21, 82, 0, 8, 0], [1, 4, 3, 90, 8, 162, 36, 62, 15, 2, 1], [1, 4, 3, 91, 2, 177, 16, 77, 9, 3, 1], [1, 4, 4, 79, 52, 73, 136, 1, 31, 3, 0], [1, 4, 4, 80, 46, 88, 116, 16, 25, 4, 0], [1, 4, 4, 81, 40, 103, 96, 31, 19, 5, 0], [1, 4, 4, 82, 34, 118, 76, 46, 13, 6, 0], [1, 4, 4, 82, 35, 112, 91, 26, 28, 0, 1], [1, 4, 4, 83, 28, 133, 56, 61, 7, 7, 0], [1, 4, 4, 83, 29, 127, 71, 41, 22, 1, 1], [1, 4, 4, 84, 22, 148, 36, 76, 1, 8, 0], [1, 4, 4, 84, 23, 142, 51, 56, 16, 2, 1], [1, 4, 4, 85, 17, 157, 31, 71, 10, 3, 1], [1, 4, 4, 86, 11, 172, 11, 86, 4, 4, 1], [1, 4, 5, 74, 61, 68, 131, 10, 26, 4, 0], [1, 4, 5, 75, 55, 83, 111, 25, 20, 5, 0], [1, 4, 5, 76, 49, 98, 91, 40, 14, 6, 0], [1, 4, 5, 76, 50, 92, 106, 20, 29, 0, 1], [1, 4, 5, 77, 43, 113, 71, 55, 8, 7, 0], [1, 4, 5, 77, 44, 107, 86, 35, 23, 1, 1], [1, 4, 5, 78, 37, 128, 51, 70, 2, 8, 0], [1, 4, 5, 78, 38, 122, 66, 50, 17, 2, 1], [1, 4, 5, 79, 32, 137, 46, 65, 11, 3, 1], [1, 4, 5, 80, 26, 152, 26, 80, 5, 4, 1], [1, 4, 5, 82, 15, 176, 1, 90, 8, 0, 2], [1, 4, 6, 68, 76, 48, 146, 4, 27, 4, 0], [1, 4, 6, 69, 70, 63, 126, 19, 21, 5, 0], [1, 4, 6, 70, 64, 78, 106, 34, 15, 6, 0], [1, 4, 6, 70, 65, 72, 121, 14, 30, 0, 1], [1, 4, 6, 71, 58, 93, 86, 49, 9, 7, 0], [1, 4, 6, 71, 59, 87, 101, 29, 24, 1, 1], [1, 4, 6, 72, 52, 108, 66, 64, 3, 8, 0], [1, 4, 6, 72, 53, 102, 81, 44, 18, 2, 1], [1, 4, 6, 73, 47, 117, 61, 59, 12, 3, 1], [1, 4, 6, 74, 41, 132, 41, 74, 6, 4, 1], [1, 4, 6, 75, 35, 147, 21, 89, 0, 5, 1], [1, 4, 6, 76, 30, 156, 16, 84, 9, 0, 2], [1, 4, 7, 63, 85, 43, 141, 13, 22, 5, 0], [1, 4, 7, 64, 79, 58, 121, 28, 16, 6, 0], [1, 4, 7, 64, 80, 52, 136, 8, 31, 0, 1], [1, 4, 7, 65, 73, 73, 101, 43, 10, 7, 0], [1, 4, 7, 65, 74, 67, 116, 23, 25, 1, 1], [1, 4, 7, 66, 67, 88, 81, 58, 4, 8, 0], [1, 4, 7, 66, 68, 82, 96, 38, 19, 2, 1], [1, 4, 7, 67, 62, 97, 76, 53, 13, 3, 1], [1, 4, 7, 68, 56, 112, 56, 68, 7, 4, 1], [1, 4, 7, 69, 50, 127, 36, 83, 1, 5, 1], [1, 4, 7, 70, 45, 136, 31, 78, 10, 0, 2], [1, 4, 7, 71, 39, 151, 11, 93, 4, 1, 2], [1, 4, 8, 57, 100, 23, 156, 7, 23, 5, 0], [1, 4, 8, 58, 94, 38, 136, 22, 17, 6, 0], [1, 4, 8, 58, 95, 32, 151, 2, 32, 0, 1], [1, 4, 8, 59, 88, 53, 116, 37, 11, 7, 0], [1, 4, 8, 59, 89, 47, 131, 17, 26, 1, 1], [1, 4, 8, 60, 82, 68, 96, 52, 5, 8, 0], [1, 4, 8, 60, 83, 62, 111, 32, 20, 2, 1], [1, 4, 8, 61, 77, 77, 91, 47, 14, 3, 1], [1, 4, 8, 62, 71, 92, 71, 62, 8, 4, 1], [1, 4, 8, 63, 65, 107, 51, 77, 2, 5, 1], [1, 4, 8, 64, 60, 116, 46, 72, 11, 0, 2], [1, 4, 8, 65, 54, 131, 26, 87, 5, 1, 2], [1, 4, 9, 51, 115, 3, 171, 1, 24, 5, 0], [1, 4, 9, 52, 109, 18, 151, 16, 18, 6, 0], [1, 4, 9, 53, 103, 33, 131, 31, 12, 7, 0], [1, 4, 9, 53, 104, 27, 146, 11, 27, 1, 1], [1, 4, 9, 54, 97, 48, 111, 46, 6, 8, 0], [1, 4, 9, 54, 98, 42, 126, 26, 21, 2, 1], [1, 4, 9, 55, 91, 63, 91, 61, 0, 9, 0], [1, 4, 9, 55, 92, 57, 106, 41, 15, 3, 1], [1, 4, 9, 56, 86, 72, 86, 56, 9, 4, 1], [1, 4, 9, 57, 80, 87, 66, 71, 3, 5, 1], [1, 4, 9, 58, 75, 96, 61, 66, 12, 0, 2], [1, 4, 9, 59, 69, 111, 41, 81, 6, 1, 2], [1, 4, 9, 60, 63, 126, 21, 96, 0, 2, 2], [1, 4, 10, 47, 118, 13, 146, 25, 13, 7, 0], [1, 4, 10, 47, 119, 7, 161, 5, 28, 1, 1], [1, 4, 10, 48, 112, 28, 126, 40, 7, 8, 0], [1, 4, 10, 48, 113, 22, 141, 20, 22, 2, 1], [1, 4, 10, 49, 106, 43, 106, 55, 1, 9, 0], [1, 4, 10, 49, 107, 37, 121, 35, 16, 3, 1], [1, 4, 10, 50, 101, 52, 101, 50, 10, 4, 1], [1, 4, 10, 51, 95, 67, 81, 65, 4, 5, 1], [1, 4, 10, 52, 90, 76, 76, 60, 13, 0, 2], [1, 4, 10, 53, 84, 91, 56, 75, 7, 1, 2], [1, 4, 10, 54, 78, 106, 36, 90, 1, 2, 2], [1, 4, 11, 42, 127, 8, 141, 34, 8, 8, 0], [1, 4, 11, 42, 128, 2, 156, 14, 23, 2, 1], [1, 4, 11, 43, 121, 23, 121, 49, 2, 9, 0], [1, 4, 11, 43, 122, 17, 136, 29, 17, 3, 1], [1, 4, 11, 44, 116, 32, 116, 44, 11, 4, 1], [1, 4, 11, 45, 110, 47, 96, 59, 5, 5, 1], [1, 4, 11, 46, 105, 56, 91, 54, 14, 0, 2], [1, 4, 11, 47, 99, 71, 71, 69, 8, 1, 2], [1, 4, 11, 48, 93, 86, 51, 84, 2, 2, 2], [1, 4, 12, 37, 136, 3, 136, 43, 3, 9, 0], [1, 4, 12, 38, 131, 12, 131, 38, 12, 4, 1], [1, 4, 12, 39, 125, 27, 111, 53, 6, 5, 1], [1, 4, 12, 40, 119, 42, 91, 68, 0, 6, 1], [1, 4, 12, 40, 120, 36, 106, 48, 15, 0, 2], [1, 4, 12, 41, 114, 51, 86, 63, 9, 1, 2], [1, 4, 12, 42, 108, 66, 66, 78, 3, 2, 2], [1, 4, 13, 33, 140, 7, 126, 47, 7, 5, 1], [1, 4, 13, 34, 134, 22, 106, 62, 1, 6, 1], [1, 4, 13, 34, 135, 16, 121, 42, 16, 0, 2], [1, 4, 13, 35, 129, 31, 101, 57, 10, 1, 2], [1, 4, 13, 36, 123, 46, 81, 72, 4, 2, 2], [1, 4, 14, 28, 149, 2, 121, 56, 2, 6, 1], [1, 4, 14, 29, 144, 11, 116, 51, 11, 1, 2], [1, 4, 14, 30, 138, 26, 96, 66, 5, 2, 2], [1, 4, 15, 24, 153, 6, 111, 60, 6, 2, 2], [1, 4, 15, 25, 147, 21, 91, 75, 0, 3, 2], [1, 4, 16, 19, 162, 1, 106, 69, 1, 3, 2], [1, 4, 18, 10, 175, 0, 91, 82, 0, 0, 3], [1, 5, 0, 83, 56, 63, 140, 5, 27, 4, 0], [1, 5, 0, 84, 50, 78, 120, 20, 21, 5, 0], [1, 5, 0, 85, 44, 93, 100, 35, 15, 6, 0], [1, 5, 0, 85, 45, 87, 115, 15, 30, 0, 1], [1, 5, 0, 86, 38, 108, 80, 50, 9, 7, 0], [1, 5, 0, 86, 39, 102, 95, 30, 24, 1, 1], [1, 5, 0, 87, 32, 123, 60, 65, 3, 8, 0], [1, 5, 0, 87, 33, 117, 75, 45, 18, 2, 1], [1, 5, 0, 88, 27, 132, 55, 60, 12, 3, 1], [1, 5, 0, 89, 21, 147, 35, 75, 6, 4, 1], [1, 5, 0, 90, 15, 162, 15, 90, 0, 5, 1], [1, 5, 0, 91, 10, 171, 10, 85, 9, 0, 2], [1, 5, 1, 78, 65, 58, 135, 14, 22, 5, 0], [1, 5, 1, 79, 59, 73, 115, 29, 16, 6, 0], [1, 5, 1, 79, 60, 67, 130, 9, 31, 0, 1], [1, 5, 1, 80, 53, 88, 95, 44, 10, 7, 0], [1, 5, 1, 80, 54, 82, 110, 24, 25, 1, 1], [1, 5, 1, 81, 47, 103, 75, 59, 4, 8, 0], [1, 5, 1, 81, 48, 97, 90, 39, 19, 2, 1], [1, 5, 1, 82, 42, 112, 70, 54, 13, 3, 1], [1, 5, 1, 83, 36, 127, 50, 69, 7, 4, 1], [1, 5, 1, 84, 30, 142, 30, 84, 1, 5, 1], [1, 5, 1, 85, 25, 151, 25, 79, 10, 0, 2], [1, 5, 1, 86, 19, 166, 5, 94, 4, 1, 2], [1, 5, 2, 72, 80, 38, 150, 8, 23, 5, 0], [1, 5, 2, 73, 74, 53, 130, 23, 17, 6, 0], [1, 5, 2, 73, 75, 47, 145, 3, 32, 0, 1], [1, 5, 2, 74, 68, 68, 110, 38, 11, 7, 0], [1, 5, 2, 74, 69, 62, 125, 18, 26, 1, 1], [1, 5, 2, 75, 62, 83, 90, 53, 5, 8, 0], [1, 5, 2, 75, 63, 77, 105, 33, 20, 2, 1], [1, 5, 2, 76, 57, 92, 85, 48, 14, 3, 1], [1, 5, 2, 77, 51, 107, 65, 63, 8, 4, 1], [1, 5, 2, 78, 45, 122, 45, 78, 2, 5, 1], [1, 5, 2, 79, 40, 131, 40, 73, 11, 0, 2], [1, 5, 2, 80, 34, 146, 20, 88, 5, 1, 2], [1, 5, 3, 66, 95, 18, 165, 2, 24, 5, 0], [1, 5, 3, 67, 89, 33, 145, 17, 18, 6, 0], [1, 5, 3, 68, 83, 48, 125, 32, 12, 7, 0], [1, 5, 3, 68, 84, 42, 140, 12, 27, 1, 1], [1, 5, 3, 69, 77, 63, 105, 47, 6, 8, 0], [1, 5, 3, 69, 78, 57, 120, 27, 21, 2, 1], [1, 5, 3, 70, 71, 78, 85, 62, 0, 9, 0], [1, 5, 3, 70, 72, 72, 100, 42, 15, 3, 1], [1, 5, 3, 71, 66, 87, 80, 57, 9, 4, 1], [1, 5, 3, 72, 60, 102, 60, 72, 3, 5, 1], [1, 5, 3, 73, 55, 111, 55, 67, 12, 0, 2], [1, 5, 3, 74, 49, 126, 35, 82, 6, 1, 2], [1, 5, 3, 75, 43, 141, 15, 97, 0, 2, 2], [1, 5, 4, 61, 104, 13, 160, 11, 19, 6, 0], [1, 5, 4, 62, 98, 28, 140, 26, 13, 7, 0], [1, 5, 4, 62, 99, 22, 155, 6, 28, 1, 1], [1, 5, 4, 63, 92, 43, 120, 41, 7, 8, 0], [1, 5, 4, 63, 93, 37, 135, 21, 22, 2, 1], [1, 5, 4, 64, 86, 58, 100, 56, 1, 9, 0], [1, 5, 4, 64, 87, 52, 115, 36, 16, 3, 1], [1, 5, 4, 65, 81, 67, 95, 51, 10, 4, 1], [1, 5, 4, 66, 75, 82, 75, 66, 4, 5, 1], [1, 5, 4, 67, 70, 91, 70, 61, 13, 0, 2], [1, 5, 4, 68, 64, 106, 50, 76, 7, 1, 2], [1, 5, 4, 69, 58, 121, 30, 91, 1, 2, 2], [1, 5, 5, 56, 113, 8, 155, 20, 14, 7, 0], [1, 5, 5, 56, 114, 2, 170, 0, 29, 1, 1], [1, 5, 5, 57, 107, 23, 135, 35, 8, 8, 0], [1, 5, 5, 57, 108, 17, 150, 15, 23, 2, 1], [1, 5, 5, 58, 101, 38, 115, 50, 2, 9, 0], [1, 5, 5, 58, 102, 32, 130, 30, 17, 3, 1], [1, 5, 5, 59, 96, 47, 110, 45, 11, 4, 1], [1, 5, 5, 60, 90, 62, 90, 60, 5, 5, 1], [1, 5, 5, 61, 85, 71, 85, 55, 14, 0, 2], [1, 5, 5, 62, 79, 86, 65, 70, 8, 1, 2], [1, 5, 5, 63, 73, 101, 45, 85, 2, 2, 2], [1, 5, 6, 51, 122, 3, 150, 29, 9, 8, 0], [1, 5, 6, 52, 116, 18, 130, 44, 3, 9, 0], [1, 5, 6, 52, 117, 12, 145, 24, 18, 3, 1], [1, 5, 6, 53, 111, 27, 125, 39, 12, 4, 1], [1, 5, 6, 54, 105, 42, 105, 54, 6, 5, 1], [1, 5, 6, 55, 99, 57, 85, 69, 0, 6, 1], [1, 5, 6, 55, 100, 51, 100, 49, 15, 0, 2], [1, 5, 6, 56, 94, 66, 80, 64, 9, 1, 2], [1, 5, 6, 57, 88, 81, 60, 79, 3, 2, 2], [1, 5, 7, 47, 126, 7, 140, 33, 13, 4, 1], [1, 5, 7, 48, 120, 22, 120, 48, 7, 5, 1], [1, 5, 7, 49, 114, 37, 100, 63, 1, 6, 1], [1, 5, 7, 49, 115, 31, 115, 43, 16, 0, 2], [1, 5, 7, 50, 109, 46, 95, 58, 10, 1, 2], [1, 5, 7, 51, 103, 61, 75, 73, 4, 2, 2], [1, 5, 8, 42, 135, 2, 135, 42, 8, 5, 1], [1, 5, 8, 43, 129, 17, 115, 57, 2, 6, 1], [1, 5, 8, 43, 130, 11, 130, 37, 17, 0, 2], [1, 5, 8, 44, 124, 26, 110, 52, 11, 1, 2], [1, 5, 8, 45, 118, 41, 90, 67, 5, 2, 2], [1, 5, 9, 38, 139, 6, 125, 46, 12, 1, 2], [1, 5, 9, 39, 133, 21, 105, 61, 6, 2, 2], [1, 5, 9, 40, 127, 36, 85, 76, 0, 3, 2], [1, 5, 10, 33, 148, 1, 120, 55, 7, 2, 2], [1, 5, 10, 34, 142, 16, 100, 70, 1, 3, 2], [1, 5, 12, 25, 155, 15, 85, 83, 0, 0, 3], [1, 6, 0, 65, 108, 3, 164, 15, 15, 7, 0], [1, 6, 0, 66, 102, 18, 144, 30, 9, 8, 0], [1, 6, 0, 66, 103, 12, 159, 10, 24, 2, 1], [1, 6, 0, 67, 96, 33, 124, 45, 3, 9, 0], [1, 6, 0, 67, 97, 27, 139, 25, 18, 3, 1], [1, 6, 0, 68, 91, 42, 119, 40, 12, 4, 1], [1, 6, 0, 69, 85, 57, 99, 55, 6, 5, 1], [1, 6, 0, 70, 79, 72, 79, 70, 0, 6, 1], [1, 6, 0, 70, 80, 66, 94, 50, 15, 0, 2], [1, 6, 0, 71, 74, 81, 74, 65, 9, 1, 2], [1, 6, 0, 72, 68, 96, 54, 80, 3, 2, 2], [1, 6, 1, 61, 111, 13, 139, 39, 4, 9, 0], [1, 6, 1, 61, 112, 7, 154, 19, 19, 3, 1], [1, 6, 1, 62, 106, 22, 134, 34, 13, 4, 1], [1, 6, 1, 63, 100, 37, 114, 49, 7, 5, 1], [1, 6, 1, 64, 94, 52, 94, 64, 1, 6, 1], [1, 6, 1, 64, 95, 46, 109, 44, 16, 0, 2], [1, 6, 1, 65, 89, 61, 89, 59, 10, 1, 2], [1, 6, 1, 66, 83, 76, 69, 74, 4, 2, 2], [1, 6, 2, 56, 121, 2, 149, 28, 14, 4, 1], [1, 6, 2, 57, 115, 17, 129, 43, 8, 5, 1], [1, 6, 2, 58, 109, 32, 109, 58, 2, 6, 1], [1, 6, 2, 58, 110, 26, 124, 38, 17, 0, 2], [1, 6, 2, 59, 104, 41, 104, 53, 11, 1, 2], [1, 6, 2, 60, 98, 56, 84, 68, 5, 2, 2], [1, 6, 3, 52, 124, 12, 124, 52, 3, 6, 1], [1, 6, 3, 52, 125, 6, 139, 32, 18, 0, 2], [1, 6, 3, 53, 119, 21, 119, 47, 12, 1, 2], [1, 6, 3, 54, 113, 36, 99, 62, 6, 2, 2], [1, 6, 3, 55, 107, 51, 79, 77, 0, 3, 2], [1, 6, 4, 47, 134, 1, 134, 41, 13, 1, 2], [1, 6, 4, 48, 128, 16, 114, 56, 7, 2, 2], [1, 6, 4, 49, 122, 31, 94, 71, 1, 3, 2], [1, 6, 5, 43, 137, 11, 109, 65, 2, 3, 2], [1, 6, 6, 40, 135, 30, 79, 84, 0, 0, 3], [1, 6, 7, 34, 150, 10, 94, 78, 1, 0, 3], [1, 7, 0, 52, 132, 6, 118, 60, 3, 3, 2], [1, 7, 0, 55, 115, 45, 73, 85, 0, 0, 3], [1, 7, 1, 49, 130, 25, 88, 79, 1, 0, 3], [1, 7, 2, 43, 145, 5, 103, 73, 2, 0, 3], [2, 0, 5, 100, 3, 122, 115, 0, 35, 2, 0], [2, 0, 6, 95, 12, 117, 110, 9, 30, 3, 0], [2, 0, 6, 96, 6, 132, 90, 24, 24, 4, 0], [2, 0, 6, 97, 0, 147, 70, 39, 18, 5, 0], [2, 0, 7, 89, 27, 97, 125, 3, 31, 3, 0], [2, 0, 7, 90, 21, 112, 105, 18, 25, 4, 0], [2, 0, 7, 91, 15, 127, 85, 33, 19, 5, 0], [2, 0, 7, 92, 9, 142, 65, 48, 13, 6, 0], [2, 0, 7, 92, 10, 136, 80, 28, 28, 0, 1], [2, 0, 7, 93, 3, 157, 45, 63, 7, 7, 0], [2, 0, 7, 93, 4, 151, 60, 43, 22, 1, 1], [2, 0, 8, 84, 36, 92, 120, 12, 26, 4, 0], [2, 0, 8, 85, 30, 107, 100, 27, 20, 5, 0], [2, 0, 8, 86, 24, 122, 80, 42, 14, 6, 0], [2, 0, 8, 86, 25, 116, 95, 22, 29, 0, 1], [2, 0, 8, 87, 18, 137, 60, 57, 8, 7, 0], [2, 0, 8, 87, 19, 131, 75, 37, 23, 1, 1], [2, 0, 8, 88, 12, 152, 40, 72, 2, 8, 0], [2, 0, 8, 88, 13, 146, 55, 52, 17, 2, 1], [2, 0, 8, 89, 7, 161, 35, 67, 11, 3, 1], [2, 0, 8, 90, 1, 176, 15, 82, 5, 4, 1], [2, 0, 9, 78, 51, 72, 135, 6, 27, 4, 0], [2, 0, 9, 79, 45, 87, 115, 21, 21, 5, 0], [2, 0, 9, 80, 39, 102, 95, 36, 15, 6, 0], [2, 0, 9, 80, 40, 96, 110, 16, 30, 0, 1], [2, 0, 9, 81, 33, 117, 75, 51, 9, 7, 0], [2, 0, 9, 81, 34, 111, 90, 31, 24, 1, 1], [2, 0, 9, 82, 27, 132, 55, 66, 3, 8, 0], [2, 0, 9, 82, 28, 126, 70, 46, 18, 2, 1], [2, 0, 9, 83, 22, 141, 50, 61, 12, 3, 1], [2, 0, 9, 84, 16, 156, 30, 76, 6, 4, 1], [2, 0, 9, 85, 10, 171, 10, 91, 0, 5, 1], [2, 0, 9, 86, 5, 180, 5, 86, 9, 0, 2], [2, 0, 10, 72, 66, 52, 150, 0, 28, 4, 0], [2, 0, 10, 73, 60, 67, 130, 15, 22, 5, 0], [2, 0, 10, 74, 54, 82, 110, 30, 16, 6, 0], [2, 0, 10, 74, 55, 76, 125, 10, 31, 0, 1], [2, 0, 10, 75, 48, 97, 90, 45, 10, 7, 0], [2, 0, 10, 75, 49, 91, 105, 25, 25, 1, 1], [2, 0, 10, 76, 42, 112, 70, 60, 4, 8, 0], [2, 0, 10, 76, 43, 106, 85, 40, 19, 2, 1], [2, 0, 10, 77, 37, 121, 65, 55, 13, 3, 1], [2, 0, 10, 78, 31, 136, 45, 70, 7, 4, 1], [2, 0, 10, 79, 25, 151, 25, 85, 1, 5, 1], [2, 0, 10, 80, 20, 160, 20, 80, 10, 0, 2], [2, 0, 10, 81, 14, 175, 0, 95, 4, 1, 2], [2, 0, 11, 67, 75, 47, 145, 9, 23, 5, 0], [2, 0, 11, 68, 69, 62, 125, 24, 17, 6, 0], [2, 0, 11, 68, 70, 56, 140, 4, 32, 0, 1], [2, 0, 11, 69, 63, 77, 105, 39, 11, 7, 0], [2, 0, 11, 69, 64, 71, 120, 19, 26, 1, 1], [2, 0, 11, 70, 57, 92, 85, 54, 5, 8, 0], [2, 0, 11, 70, 58, 86, 100, 34, 20, 2, 1], [2, 0, 11, 71, 52, 101, 80, 49, 14, 3, 1], [2, 0, 11, 72, 46, 116, 60, 64, 8, 4, 1], [2, 0, 11, 73, 40, 131, 40, 79, 2, 5, 1], [2, 0, 11, 74, 35, 140, 35, 74, 11, 0, 2], [2, 0, 11, 75, 29, 155, 15, 89, 5, 1, 2], [2, 0, 12, 61, 90, 27, 160, 3, 24, 5, 0], [2, 0, 12, 62, 84, 42, 140, 18, 18, 6, 0], [2, 0, 12, 63, 78, 57, 120, 33, 12, 7, 0], [2, 0, 12, 63, 79, 51, 135, 13, 27, 1, 1], [2, 0, 12, 64, 72, 72, 100, 48, 6, 8, 0], [2, 0, 12, 64, 73, 66, 115, 28, 21, 2, 1], [2, 0, 12, 65, 66, 87, 80, 63, 0, 9, 0], [2, 0, 12, 65, 67, 81, 95, 43, 15, 3, 1], [2, 0, 12, 66, 61, 96, 75, 58, 9, 4, 1], [2, 0, 12, 67, 55, 111, 55, 73, 3, 5, 1], [2, 0, 12, 68, 50, 120, 50, 68, 12, 0, 2], [2, 0, 12, 69, 44, 135, 30, 83, 6, 1, 2], [2, 0, 12, 70, 38, 150, 10, 98, 0, 2, 2], [2, 0, 13, 56, 99, 22, 155, 12, 19, 6, 0], [2, 0, 13, 57, 93, 37, 135, 27, 13, 7, 0], [2, 0, 13, 57, 94, 31, 150, 7, 28, 1, 1], [2, 0, 13, 58, 87, 52, 115, 42, 7, 8, 0], [2, 0, 13, 58, 88, 46, 130, 22, 22, 2, 1], [2, 0, 13, 59, 81, 67, 95, 57, 1, 9, 0], [2, 0, 13, 59, 82, 61, 110, 37, 16, 3, 1], [2, 0, 13, 60, 76, 76, 90, 52, 10, 4, 1], [2, 0, 13, 61, 70, 91, 70, 67, 4, 5, 1], [2, 0, 13, 62, 65, 100, 65, 62, 13, 0, 2], [2, 0, 13, 63, 59, 115, 45, 77, 7, 1, 2], [2, 0, 13, 64, 53, 130, 25, 92, 1, 2, 2], [2, 0, 14, 50, 114, 2, 170, 6, 20, 6, 0], [2, 0, 14, 51, 108, 17, 150, 21, 14, 7, 0], [2, 0, 14, 51, 109, 11, 165, 1, 29, 1, 1], [2, 0, 14, 52, 102, 32, 130, 36, 8, 8, 0], [2, 0, 14, 52, 103, 26, 145, 16, 23, 2, 1], [2, 0, 14, 53, 96, 47, 110, 51, 2, 9, 0], [2, 0, 14, 53, 97, 41, 125, 31, 17, 3, 1], [2, 0, 14, 54, 91, 56, 105, 46, 11, 4, 1], [2, 0, 14, 55, 85, 71, 85, 61, 5, 5, 1], [2, 0, 14, 56, 80, 80, 80, 56, 14, 0, 2], [2, 0, 14, 57, 74, 95, 60, 71, 8, 1, 2], [2, 0, 14, 58, 68, 110, 40, 86, 2, 2, 2], [2, 0, 15, 46, 117, 12, 145, 30, 9, 8, 0], [2, 0, 15, 46, 118, 6, 160, 10, 24, 2, 1], [2, 0, 15, 47, 111, 27, 125, 45, 3, 9, 0], [2, 0, 15, 47, 112, 21, 140, 25, 18, 3, 1], [2, 0, 15, 48, 106, 36, 120, 40, 12, 4, 1], [2, 0, 15, 49, 100, 51, 100, 55, 6, 5, 1], [2, 0, 15, 50, 94, 66, 80, 70, 0, 6, 1], [2, 0, 15, 50, 95, 60, 95, 50, 15, 0, 2], [2, 0, 15, 51, 89, 75, 75, 65, 9, 1, 2], [2, 0, 15, 52, 83, 90, 55, 80, 3, 2, 2], [2, 0, 16, 41, 126, 7, 140, 39, 4, 9, 0], [2, 0, 16, 41, 127, 1, 155, 19, 19, 3, 1], [2, 0, 16, 42, 121, 16, 135, 34, 13, 4, 1], [2, 0, 16, 43, 115, 31, 115, 49, 7, 5, 1], [2, 0, 16, 44, 109, 46, 95, 64, 1, 6, 1], [2, 0, 16, 44, 110, 40, 110, 44, 16, 0, 2], [2, 0, 16, 45, 104, 55, 90, 59, 10, 1, 2], [2, 0, 16, 46, 98, 70, 70, 74, 4, 2, 2], [2, 0, 17, 37, 130, 11, 130, 43, 8, 5, 1], [2, 0, 17, 38, 124, 26, 110, 58, 2, 6, 1], [2, 0, 17, 38, 125, 20, 125, 38, 17, 0, 2], [2, 0, 17, 39, 119, 35, 105, 53, 11, 1, 2], [2, 0, 17, 40, 113, 50, 85, 68, 5, 2, 2], [2, 0, 18, 32, 139, 6, 125, 52, 3, 6, 1], [2, 0, 18, 32, 140, 0, 140, 32, 18, 0, 2], [2, 0, 18, 33, 134, 15, 120, 47, 12, 1, 2], [2, 0, 18, 34, 128, 30, 100, 62, 6, 2, 2], [2, 0, 18, 35, 122, 45, 80, 77, 0, 3, 2], [2, 0, 19, 28, 143, 10, 115, 56, 7, 2, 2], [2, 0, 19, 29, 137, 25, 95, 71, 1, 3, 2], [2, 0, 20, 23, 152, 5, 110, 65, 2, 3, 2], [2, 0, 21, 20, 150, 24, 80, 84, 0, 0, 3], [2, 0, 22, 14, 165, 4, 95, 78, 1, 0, 3], [2, 1, 1, 104, 7, 112, 119, 4, 31, 3, 0], [2, 1, 1, 105, 1, 127, 99, 19, 25, 4, 0], [2, 1, 2, 99, 16, 107, 114, 13, 26, 4, 0], [2, 1, 2, 100, 10, 122, 94, 28, 20, 5, 0], [2, 1, 2, 101, 4, 137, 74, 43, 14, 6, 0], [2, 1, 2, 101, 5, 131, 89, 23, 29, 0, 1], [2, 1, 3, 93, 31, 87, 129, 7, 27, 4, 0], [2, 1, 3, 94, 25, 102, 109, 22, 21, 5, 0], [2, 1, 3, 95, 19, 117, 89, 37, 15, 6, 0], [2, 1, 3, 95, 20, 111, 104, 17, 30, 0, 1], [2, 1, 3, 96, 13, 132, 69, 52, 9, 7, 0], [2, 1, 3, 96, 14, 126, 84, 32, 24, 1, 1], [2, 1, 3, 97, 7, 147, 49, 67, 3, 8, 0], [2, 1, 3, 97, 8, 141, 64, 47, 18, 2, 1], [2, 1, 3, 98, 2, 156, 44, 62, 12, 3, 1], [2, 1, 4, 87, 46, 67, 144, 1, 28, 4, 0], [2, 1, 4, 88, 40, 82, 124, 16, 22, 5, 0], [2, 1, 4, 89, 34, 97, 104, 31, 16, 6, 0], [2, 1, 4, 89, 35, 91, 119, 11, 31, 0, 1], [2, 1, 4, 90, 28, 112, 84, 46, 10, 7, 0], [2, 1, 4, 90, 29, 106, 99, 26, 25, 1, 1], [2, 1, 4, 91, 22, 127, 64, 61, 4, 8, 0], [2, 1, 4, 91, 23, 121, 79, 41, 19, 2, 1], [2, 1, 4, 92, 17, 136, 59, 56, 13, 3, 1], [2, 1, 4, 93, 11, 151, 39, 71, 7, 4, 1], [2, 1, 4, 94, 5, 166, 19, 86, 1, 5, 1], [2, 1, 4, 95, 0, 175, 14, 81, 10, 0, 2], [2, 1, 5, 82, 55, 62, 139, 10, 23, 5, 0], [2, 1, 5, 83, 49, 77, 119, 25, 17, 6, 0], [2, 1, 5, 83, 50, 71, 134, 5, 32, 0, 1], [2, 1, 5, 84, 43, 92, 99, 40, 11, 7, 0], [2, 1, 5, 84, 44, 86, 114, 20, 26, 1, 1], [2, 1, 5, 85, 37, 107, 79, 55, 5, 8, 0], [2, 1, 5, 85, 38, 101, 94, 35, 20, 2, 1], [2, 1, 5, 86, 32, 116, 74, 50, 14, 3, 1], [2, 1, 5, 87, 26, 131, 54, 65, 8, 4, 1], [2, 1, 5, 88, 20, 146, 34, 80, 2, 5, 1], [2, 1, 5, 89, 15, 155, 29, 75, 11, 0, 2], [2, 1, 5, 90, 9, 170, 9, 90, 5, 1, 2], [2, 1, 6, 76, 70, 42, 154, 4, 24, 5, 0], [2, 1, 6, 77, 64, 57, 134, 19, 18, 6, 0], [2, 1, 6, 78, 58, 72, 114, 34, 12, 7, 0], [2, 1, 6, 78, 59, 66, 129, 14, 27, 1, 1], [2, 1, 6, 79, 52, 87, 94, 49, 6, 8, 0], [2, 1, 6, 79, 53, 81, 109, 29, 21, 2, 1], [2, 1, 6, 80, 46, 102, 74, 64, 0, 9, 0], [2, 1, 6, 80, 47, 96, 89, 44, 15, 3, 1], [2, 1, 6, 81, 41, 111, 69, 59, 9, 4, 1], [2, 1, 6, 82, 35, 126, 49, 74, 3, 5, 1], [2, 1, 6, 83, 30, 135, 44, 69, 12, 0, 2], [2, 1, 6, 84, 24, 150, 24, 84, 6, 1, 2], [2, 1, 6, 85, 18, 165, 4, 99, 0, 2, 2], [2, 1, 7, 71, 79, 37, 149, 13, 19, 6, 0], [2, 1, 7, 72, 73, 52, 129, 28, 13, 7, 0], [2, 1, 7, 72, 74, 46, 144, 8, 28, 1, 1], [2, 1, 7, 73, 67, 67, 109, 43, 7, 8, 0], [2, 1, 7, 73, 68, 61, 124, 23, 22, 2, 1], [2, 1, 7, 74, 61, 82, 89, 58, 1, 9, 0], [2, 1, 7, 74, 62, 76, 104, 38, 16, 3, 1], [2, 1, 7, 75, 56, 91, 84, 53, 10, 4, 1], [2, 1, 7, 76, 50, 106, 64, 68, 4, 5, 1], [2, 1, 7, 77, 45, 115, 59, 63, 13, 0, 2], [2, 1, 7, 78, 39, 130, 39, 78, 7, 1, 2], [2, 1, 7, 79, 33, 145, 19, 93, 1, 2, 2], [2, 1, 8, 65, 94, 17, 164, 7, 20, 6, 0], [2, 1, 8, 66, 88, 32, 144, 22, 14, 7, 0], [2, 1, 8, 66, 89, 26, 159, 2, 29, 1, 1], [2, 1, 8, 67, 82, 47, 124, 37, 8, 8, 0], [2, 1, 8, 67, 83, 41, 139, 17, 23, 2, 1], [2, 1, 8, 68, 76, 62, 104, 52, 2, 9, 0], [2, 1, 8, 68, 77, 56, 119, 32, 17, 3, 1], [2, 1, 8, 69, 71, 71, 99, 47, 11, 4, 1], [2, 1, 8, 70, 65, 86, 79, 62, 5, 5, 1], [2, 1, 8, 71, 60, 95, 74, 57, 14, 0, 2], [2, 1, 8, 72, 54, 110, 54, 72, 8, 1, 2], [2, 1, 8, 73, 48, 125, 34, 87, 2, 2, 2], [2, 1, 9, 60, 103, 12, 159, 16, 15, 7, 0], [2, 1, 9, 61, 97, 27, 139, 31, 9, 8, 0], [2, 1, 9, 61, 98, 21, 154, 11, 24, 2, 1], [2, 1, 9, 62, 91, 42, 119, 46, 3, 9, 0], [2, 1, 9, 62, 92, 36, 134, 26, 18, 3, 1], [2, 1, 9, 63, 86, 51, 114, 41, 12, 4, 1], [2, 1, 9, 64, 80, 66, 94, 56, 6, 5, 1], [2, 1, 9, 65, 74, 81, 74, 71, 0, 6, 1], [2, 1, 9, 65, 75, 75, 89, 51, 15, 0, 2], [2, 1, 9, 66, 69, 90, 69, 66, 9, 1, 2], [2, 1, 9, 67, 63, 105, 49, 81, 3, 2, 2], [2, 1, 10, 55, 112, 7, 154, 25, 10, 8, 0], [2, 1, 10, 55, 113, 1, 169, 5, 25, 2, 1], [2, 1, 10, 56, 106, 22, 134, 40, 4, 9, 0], [2, 1, 10, 56, 107, 16, 149, 20, 19, 3, 1], [2, 1, 10, 57, 101, 31, 129, 35, 13, 4, 1], [2, 1, 10, 58, 95, 46, 109, 50, 7, 5, 1], [2, 1, 10, 59, 89, 61, 89, 65, 1, 6, 1], [2, 1, 10, 59, 90, 55, 104, 45, 16, 0, 2], [2, 1, 10, 60, 84, 70, 84, 60, 10, 1, 2], [2, 1, 10, 61, 78, 85, 64, 75, 4, 2, 2], [2, 1, 11, 50, 121, 2, 149, 34, 5, 9, 0], [2, 1, 11, 51, 116, 11, 144, 29, 14, 4, 1], [2, 1, 11, 52, 110, 26, 124, 44, 8, 5, 1], [2, 1, 11, 53, 104, 41, 104, 59, 2, 6, 1], [2, 1, 11, 53, 105, 35, 119, 39, 17, 0, 2], [2, 1, 11, 54, 99, 50, 99, 54, 11, 1, 2], [2, 1, 11, 55, 93, 65, 79, 69, 5, 2, 2], [2, 1, 12, 46, 125, 6, 139, 38, 9, 5, 1], [2, 1, 12, 47, 119, 21, 119, 53, 3, 6, 1], [2, 1, 12, 47, 120, 15, 134, 33, 18, 0, 2], [2, 1, 12, 48, 114, 30, 114, 48, 12, 1, 2], [2, 1, 12, 49, 108, 45, 94, 63, 6, 2, 2], [2, 1, 12, 50, 102, 60, 74, 78, 0, 3, 2], [2, 1, 13, 41, 134, 1, 134, 47, 4, 6, 1], [2, 1, 13, 42, 129, 10, 129, 42, 13, 1, 2], [2, 1, 13, 43, 123, 25, 109, 57, 7, 2, 2], [2, 1, 13, 44, 117, 40, 89, 72, 1, 3, 2], [2, 1, 14, 37, 138, 5, 124, 51, 8, 2, 2], [2, 1, 14, 38, 132, 20, 104, 66, 2, 3, 2], [2, 1, 15, 32, 147, 0, 119, 60, 3, 3, 2], [2, 1, 15, 35, 130, 39, 74, 85, 0, 0, 3], [2, 1, 16, 29, 145, 19, 89, 79, 1, 0, 3], [2, 2, 0, 91, 50, 57, 148, 5, 24, 5, 0], [2, 2, 0, 92, 44, 72, 128, 20, 18, 6, 0], [2, 2, 0, 92, 45, 66, 143, 0, 33, 0, 1], [2, 2, 0, 93, 38, 87, 108, 35, 12, 7, 0], [2, 2, 0, 93, 39, 81, 123, 15, 27, 1, 1], [2, 2, 0, 94, 32, 102, 88, 50, 6, 8, 0], [2, 2, 0, 94, 33, 96, 103, 30, 21, 2, 1], [2, 2, 0, 95, 26, 117, 68, 65, 0, 9, 0], [2, 2, 0, 95, 27, 111, 83, 45, 15, 3, 1], [2, 2, 0, 96, 21, 126, 63, 60, 9, 4, 1], [2, 2, 0, 97, 15, 141, 43, 75, 3, 5, 1], [2, 2, 0, 98, 10, 150, 38, 70, 12, 0, 2], [2, 2, 0, 99, 4, 165, 18, 85, 6, 1, 2], [2, 2, 1, 86, 59, 52, 143, 14, 19, 6, 0], [2, 2, 1, 87, 53, 67, 123, 29, 13, 7, 0], [2, 2, 1, 87, 54, 61, 138, 9, 28, 1, 1], [2, 2, 1, 88, 47, 82, 103, 44, 7, 8, 0], [2, 2, 1, 88, 48, 76, 118, 24, 22, 2, 1], [2, 2, 1, 89, 41, 97, 83, 59, 1, 9, 0], [2, 2, 1, 89, 42, 91, 98, 39, 16, 3, 1], [2, 2, 1, 90, 36, 106, 78, 54, 10, 4, 1], [2, 2, 1, 91, 30, 121, 58, 69, 4, 5, 1], [2, 2, 1, 92, 25, 130, 53, 64, 13, 0, 2], [2, 2, 1, 93, 19, 145, 33, 79, 7, 1, 2], [2, 2, 1, 94, 13, 160, 13, 94, 1, 2, 2], [2, 2, 2, 80, 74, 32, 158, 8, 20, 6, 0], [2, 2, 2, 81, 68, 47, 138, 23, 14, 7, 0], [2, 2, 2, 81, 69, 41, 153, 3, 29, 1, 1], [2, 2, 2, 82, 62, 62, 118, 38, 8, 8, 0], [2, 2, 2, 82, 63, 56, 133, 18, 23, 2, 1], [2, 2, 2, 83, 56, 77, 98, 53, 2, 9, 0], [2, 2, 2, 83, 57, 71, 113, 33, 17, 3, 1], [2, 2, 2, 84, 51, 86, 93, 48, 11, 4, 1], [2, 2, 2, 85, 45, 101, 73, 63, 5, 5, 1], [2, 2, 2, 86, 40, 110, 68, 58, 14, 0, 2], [2, 2, 2, 87, 34, 125, 48, 73, 8, 1, 2], [2, 2, 2, 88, 28, 140, 28, 88, 2, 2, 2], [2, 2, 3, 74, 89, 12, 173, 2, 21, 6, 0], [2, 2, 3, 75, 83, 27, 153, 17, 15, 7, 0], [2, 2, 3, 76, 77, 42, 133, 32, 9, 8, 0], [2, 2, 3, 76, 78, 36, 148, 12, 24, 2, 1], [2, 2, 3, 77, 71, 57, 113, 47, 3, 9, 0], [2, 2, 3, 77, 72, 51, 128, 27, 18, 3, 1], [2, 2, 3, 78, 66, 66, 108, 42, 12, 4, 1], [2, 2, 3, 79, 60, 81, 88, 57, 6, 5, 1], [2, 2, 3, 80, 54, 96, 68, 72, 0, 6, 1], [2, 2, 3, 80, 55, 90, 83, 52, 15, 0, 2], [2, 2, 3, 81, 49, 105, 63, 67, 9, 1, 2], [2, 2, 3, 82, 43, 120, 43, 82, 3, 2, 2], [2, 2, 4, 69, 98, 7, 168, 11, 16, 7, 0], [2, 2, 4, 70, 92, 22, 148, 26, 10, 8, 0], [2, 2, 4, 70, 93, 16, 163, 6, 25, 2, 1], [2, 2, 4, 71, 86, 37, 128, 41, 4, 9, 0], [2, 2, 4, 71, 87, 31, 143, 21, 19, 3, 1], [2, 2, 4, 72, 81, 46, 123, 36, 13, 4, 1], [2, 2, 4, 73, 75, 61, 103, 51, 7, 5, 1], [2, 2, 4, 74, 69, 76, 83, 66, 1, 6, 1], [2, 2, 4, 74, 70, 70, 98, 46, 16, 0, 2], [2, 2, 4, 75, 64, 85, 78, 61, 10, 1, 2], [2, 2, 4, 76, 58, 100, 58, 76, 4, 2, 2], [2, 2, 5, 64, 107, 2, 163, 20, 11, 8, 0], [2, 2, 5, 65, 101, 17, 143, 35, 5, 9, 0], [2, 2, 5, 65, 102, 11, 158, 15, 20, 3, 1], [2, 2, 5, 66, 96, 26, 138, 30, 14, 4, 1], [2, 2, 5, 67, 90, 41, 118, 45, 8, 5, 1], [2, 2, 5, 68, 84, 56, 98, 60, 2, 6, 1], [2, 2, 5, 68, 85, 50, 113, 40, 17, 0, 2], [2, 2, 5, 69, 79, 65, 93, 55, 11, 1, 2], [2, 2, 5, 70, 73, 80, 73, 70, 5, 2, 2], [2, 2, 6, 60, 110, 12, 138, 44, 0, 10, 0], [2, 2, 6, 60, 111, 6, 153, 24, 15, 4, 1], [2, 2, 6, 61, 105, 21, 133, 39, 9, 5, 1], [2, 2, 6, 62, 99, 36, 113, 54, 3, 6, 1], [2, 2, 6, 62, 100, 30, 128, 34, 18, 0, 2], [2, 2, 6, 63, 94, 45, 108, 49, 12, 1, 2], [2, 2, 6, 64, 88, 60, 88, 64, 6, 2, 2], [2, 2, 6, 65, 82, 75, 68, 79, 0, 3, 2], [2, 2, 7, 55, 120, 1, 148, 33, 10, 5, 1], [2, 2, 7, 56, 114, 16, 128, 48, 4, 6, 1], [2, 2, 7, 56, 115, 10, 143, 28, 19, 0, 2], [2, 2, 7, 57, 109, 25, 123, 43, 13, 1, 2], [2, 2, 7, 58, 103, 40, 103, 58, 7, 2, 2], [2, 2, 7, 59, 97, 55, 83, 73, 1, 3, 2], [2, 2, 8, 51, 124, 5, 138, 37, 14, 1, 2], [2, 2, 8, 52, 118, 20, 118, 52, 8, 2, 2], [2, 2, 8, 53, 112, 35, 98, 67, 2, 3, 2], [2, 2, 9, 46, 133, 0, 133, 46, 9, 2, 2], [2, 2, 9, 47, 127, 15, 113, 61, 3, 3, 2], [2, 2, 9, 50, 110, 54, 68, 86, 0, 0, 3], [2, 2, 10, 44, 125, 34, 83, 80, 1, 0, 3], [2, 2, 11, 38, 140, 14, 98, 74, 2, 0, 3], [2, 3, 0, 74, 96, 12, 152, 30, 6, 9, 0], [2, 3, 0, 74, 97, 6, 167, 10, 21, 3, 1], [2, 3, 0, 75, 90, 27, 132, 45, 0, 10, 0], [2, 3, 0, 75, 91, 21, 147, 25, 15, 4, 1], [2, 3, 0, 76, 85, 36, 127, 40, 9, 5, 1], [2, 3, 0, 77, 79, 51, 107, 55, 3, 6, 1], [2, 3, 0, 77, 80, 45, 122, 35, 18, 0, 2], [2, 3, 0, 78, 74, 60, 102, 50, 12, 1, 2], [2, 3, 0, 79, 68, 75, 82, 65, 6, 2, 2], [2, 3, 0, 80, 62, 90, 62, 80, 0, 3, 2], [2, 3, 1, 69, 105, 7, 147, 39, 1, 10, 0], [2, 3, 1, 69, 106, 1, 162, 19, 16, 4, 1], [2, 3, 1, 70, 100, 16, 142, 34, 10, 5, 1], [2, 3, 1, 71, 94, 31, 122, 49, 4, 6, 1], [2, 3, 1, 71, 95, 25, 137, 29, 19, 0, 2], [2, 3, 1, 72, 89, 40, 117, 44, 13, 1, 2], [2, 3, 1, 73, 83, 55, 97, 59, 7, 2, 2], [2, 3, 1, 74, 77, 70, 77, 74, 1, 3, 2], [2, 3, 2, 65, 109, 11, 137, 43, 5, 6, 1], [2, 3, 2, 65, 110, 5, 152, 23, 20, 0, 2], [2, 3, 2, 66, 104, 20, 132, 38, 14, 1, 2], [2, 3, 2, 67, 98, 35, 112, 53, 8, 2, 2], [2, 3, 2, 68, 92, 50, 92, 68, 2, 3, 2], [2, 3, 3, 60, 118, 6, 132, 52, 0, 7, 1], [2, 3, 3, 60, 119, 0, 147, 32, 15, 1, 2], [2, 3, 3, 61, 113, 15, 127, 47, 9, 2, 2], [2, 3, 3, 62, 107, 30, 107, 62, 3, 3, 2], [2, 3, 3, 65, 90, 69, 62, 87, 0, 0, 3], [2, 3, 4, 56, 122, 10, 122, 56, 4, 3, 2], [2, 3, 4, 59, 105, 49, 77, 81, 1, 0, 3], [2, 3, 5, 53, 120, 29, 92, 75, 2, 0, 3], [2, 3, 6, 47, 135, 9, 107, 69, 3, 0, 3], [2, 4, 0, 60, 126, 0, 126, 60, 0, 4, 2], [2, 4, 0, 62, 115, 24, 101, 70, 3, 0, 3], [2, 4, 1, 56, 130, 4, 116, 64, 4, 0, 3], [3, 0, 0, 82, 90, 6, 160, 30, 3, 10, 0], [3, 0, 0, 82, 91, 0, 175, 10, 18, 4, 1], [3, 0, 0, 83, 85, 15, 155, 25, 12, 5, 1], [3, 0, 0, 84, 79, 30, 135, 40, 6, 6, 1], [3, 0, 0, 84, 80, 24, 150, 20, 21, 0, 2], [3, 0, 0, 85, 73, 45, 115, 55, 0, 7, 1], [3, 0, 0, 85, 74, 39, 130, 35, 15, 1, 2], [3, 0, 0, 86, 68, 54, 110, 50, 9, 2, 2], [3, 0, 0, 87, 62, 69, 90, 65, 3, 3, 2], [3, 0, 0, 90, 45, 108, 45, 90, 0, 0, 3], [3, 0, 1, 78, 94, 10, 150, 34, 7, 6, 1], [3, 0, 1, 78, 95, 4, 165, 14, 22, 0, 2], [3, 0, 1, 79, 88, 25, 130, 49, 1, 7, 1], [3, 0, 1, 79, 89, 19, 145, 29, 16, 1, 2], [3, 0, 1, 80, 83, 34, 125, 44, 10, 2, 2], [3, 0, 1, 81, 77, 49, 105, 59, 4, 3, 2], [3, 0, 1, 84, 60, 88, 60, 84, 1, 0, 3], [3, 0, 2, 73, 103, 5, 145, 43, 2, 7, 1], [3, 0, 2, 74, 98, 14, 140, 38, 11, 2, 2], [3, 0, 2, 75, 92, 29, 120, 53, 5, 3, 2], [3, 0, 2, 78, 75, 68, 75, 78, 2, 0, 3], [3, 0, 3, 69, 107, 9, 135, 47, 6, 3, 2], [3, 0, 3, 70, 101, 24, 115, 62, 0, 4, 2], [3, 0, 3, 72, 90, 48, 90, 72, 3, 0, 3], [3, 0, 4, 64, 116, 4, 130, 56, 1, 4, 2], [3, 0, 4, 66, 105, 28, 105, 66, 4, 0, 3], [3, 0, 5, 60, 120, 8, 120, 60, 5, 0, 3], [3, 0, 6, 55, 129, 3, 115, 69, 0, 1, 3], [3, 1, 0, 69, 115, 3, 129, 55, 6, 0, 3], [3, 1, 0, 70, 109, 18, 109, 70, 0, 1, 3]}