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(8, 80, 3) ALL distance distributions for EXTERNAL point
(3, 80, 3) has 0 possible DDs: {}
(4, 80, 3) has 1 possible DDs: {[0, 40, 0, 40, 0]}
(5, 80, 3) has 6 possible DDs: {[0, 20, 20, 20, 20, 0], [0, 21, 16, 26, 16, 1], [0, 22, 12, 32, 12, 2], [0, 23, 8, 38, 8, 3], [0, 24, 4, 44, 4, 4], [0, 25, 0, 50, 0, 5]}
(6, 80, 3) has 30 possible DDs: {[0, 7, 32, 2, 32, 7, 0], [0, 8, 28, 8, 28, 8, 0], [0, 8, 29, 4, 34, 4, 1], [0, 8, 30, 0, 40, 0, 2], [0, 9, 24, 14, 24, 9, 0], [0, 9, 25, 10, 30, 5, 1], [0, 9, 26, 6, 36, 1, 2], [0, 10, 20, 20, 20, 10, 0], [0, 10, 21, 16, 26, 6, 1], [0, 10, 22, 12, 32, 2, 2], [0, 11, 16, 26, 16, 11, 0], [0, 11, 17, 22, 22, 7, 1], [0, 11, 18, 18, 28, 3, 2], [0, 12, 12, 32, 12, 12, 0], [0, 12, 13, 28, 18, 8, 1], [0, 12, 14, 24, 24, 4, 2], [0, 12, 15, 20, 30, 0, 3], [0, 13, 8, 38, 8, 13, 0], [0, 13, 9, 34, 14, 9, 1], [0, 13, 10, 30, 20, 5, 2], [0, 13, 11, 26, 26, 1, 3], [0, 14, 4, 44, 4, 14, 0], [0, 14, 5, 40, 10, 10, 1], [0, 14, 6, 36, 16, 6, 2], [0, 14, 7, 32, 22, 2, 3], [0, 15, 0, 50, 0, 15, 0], [0, 15, 1, 46, 6, 11, 1], [0, 15, 2, 42, 12, 7, 2], [0, 15, 3, 38, 18, 3, 3], [0, 16, 0, 40, 20, 0, 4]}
(7, 80, 3) has 153 possible DDs: {[0, 0, 30, 10, 10, 30, 0, 0], [0, 0, 31, 6, 16, 26, 1, 0], [0, 0, 32, 2, 22, 22, 2, 0], [0, 1, 26, 16, 6, 31, 0, 0], [0, 1, 27, 12, 12, 27, 1, 0], [0, 1, 28, 8, 18, 23, 2, 0], [0, 1, 29, 4, 24, 19, 3, 0], [0, 1, 30, 0, 30, 15, 4, 0], [0, 1, 30, 1, 26, 21, 0, 1], [0, 2, 22, 22, 2, 32, 0, 0], [0, 2, 23, 18, 8, 28, 1, 0], [0, 2, 24, 14, 14, 24, 2, 0], [0, 2, 25, 10, 20, 20, 3, 0], [0, 2, 26, 6, 26, 16, 4, 0], [0, 2, 26, 7, 22, 22, 0, 1], [0, 2, 27, 2, 32, 12, 5, 0], [0, 2, 27, 3, 28, 18, 1, 1], [0, 3, 19, 24, 4, 29, 1, 0], [0, 3, 20, 20, 10, 25, 2, 0], [0, 3, 21, 16, 16, 21, 3, 0], [0, 3, 22, 12, 22, 17, 4, 0], [0, 3, 22, 13, 18, 23, 0, 1], [0, 3, 23, 8, 28, 13, 5, 0], [0, 3, 23, 9, 24, 19, 1, 1], [0, 3, 24, 4, 34, 9, 6, 0], [0, 3, 24, 5, 30, 15, 2, 1], [0, 3, 25, 0, 40, 5, 7, 0], [0, 3, 25, 1, 36, 11, 3, 1], [0, 4, 15, 30, 0, 30, 1, 0], [0, 4, 16, 26, 6, 26, 2, 0], [0, 4, 17, 22, 12, 22, 3, 0], [0, 4, 18, 18, 18, 18, 4, 0], [0, 4, 18, 19, 14, 24, 0, 1], [0, 4, 19, 14, 24, 14, 5, 0], [0, 4, 19, 15, 20, 20, 1, 1], [0, 4, 20, 10, 30, 10, 6, 0], [0, 4, 20, 11, 26, 16, 2, 1], [0, 4, 21, 6, 36, 6, 7, 0], [0, 4, 21, 7, 32, 12, 3, 1], [0, 4, 22, 2, 42, 2, 8, 0], [0, 4, 22, 3, 38, 8, 4, 1], [0, 4, 22, 4, 34, 14, 0, 2], [0, 4, 23, 0, 40, 10, 1, 2], [0, 5, 12, 32, 2, 27, 2, 0], [0, 5, 13, 28, 8, 23, 3, 0], [0, 5, 14, 24, 14, 19, 4, 0], [0, 5, 14, 25, 10, 25, 0, 1], [0, 5, 15, 20, 20, 15, 5, 0], [0, 5, 15, 21, 16, 21, 1, 1], [0, 5, 16, 16, 26, 11, 6, 0], [0, 5, 16, 17, 22, 17, 2, 1], [0, 5, 17, 12, 32, 7, 7, 0], [0, 5, 17, 13, 28, 13, 3, 1], [0, 5, 18, 8, 38, 3, 8, 0], [0, 5, 18, 9, 34, 9, 4, 1], [0, 5, 18, 10, 30, 15, 0, 2], [0, 5, 19, 5, 40, 5, 5, 1], [0, 5, 19, 6, 36, 11, 1, 2], [0, 5, 20, 1, 46, 1, 6, 1], [0, 5, 20, 2, 42, 7, 2, 2], [0, 6, 9, 34, 4, 24, 3, 0], [0, 6, 10, 30, 10, 20, 4, 0], [0, 6, 10, 31, 6, 26, 0, 1], [0, 6, 11, 26, 16, 16, 5, 0], [0, 6, 11, 27, 12, 22, 1, 1], [0, 6, 12, 22, 22, 12, 6, 0], [0, 6, 12, 23, 18, 18, 2, 1], [0, 6, 13, 18, 28, 8, 7, 0], [0, 6, 13, 19, 24, 14, 3, 1], [0, 6, 14, 14, 34, 4, 8, 0], [0, 6, 14, 15, 30, 10, 4, 1], [0, 6, 14, 16, 26, 16, 0, 2], [0, 6, 15, 10, 40, 0, 9, 0], [0, 6, 15, 11, 36, 6, 5, 1], [0, 6, 15, 12, 32, 12, 1, 2], [0, 6, 16, 7, 42, 2, 6, 1], [0, 6, 16, 8, 38, 8, 2, 2], [0, 6, 17, 4, 44, 4, 3, 2], [0, 6, 18, 0, 50, 0, 4, 2], [0, 6, 18, 1, 46, 6, 0, 3], [0, 7, 5, 40, 0, 25, 3, 0], [0, 7, 6, 36, 6, 21, 4, 0], [0, 7, 6, 37, 2, 27, 0, 1], [0, 7, 7, 32, 12, 17, 5, 0], [0, 7, 7, 33, 8, 23, 1, 1], [0, 7, 8, 28, 18, 13, 6, 0], [0, 7, 8, 29, 14, 19, 2, 1], [0, 7, 9, 24, 24, 9, 7, 0], [0, 7, 9, 25, 20, 15, 3, 1], [0, 7, 10, 20, 30, 5, 8, 0], [0, 7, 10, 21, 26, 11, 4, 1], [0, 7, 10, 22, 22, 17, 0, 2], [0, 7, 11, 16, 36, 1, 9, 0], [0, 7, 11, 17, 32, 7, 5, 1], [0, 7, 11, 18, 28, 13, 1, 2], [0, 7, 12, 13, 38, 3, 6, 1], [0, 7, 12, 14, 34, 9, 2, 2], [0, 7, 13, 10, 40, 5, 3, 2], [0, 7, 14, 6, 46, 1, 4, 2], [0, 7, 14, 7, 42, 7, 0, 3], [0, 7, 15, 3, 48, 3, 1, 3], [0, 8, 2, 42, 2, 22, 4, 0], [0, 8, 3, 38, 8, 18, 5, 0], [0, 8, 3, 39, 4, 24, 1, 1], [0, 8, 4, 34, 14, 14, 6, 0], [0, 8, 4, 35, 10, 20, 2, 1], [0, 8, 5, 30, 20, 10, 7, 0], [0, 8, 5, 31, 16, 16, 3, 1], [0, 8, 6, 26, 26, 6, 8, 0], [0, 8, 6, 27, 22, 12, 4, 1], [0, 8, 6, 28, 18, 18, 0, 2], [0, 8, 7, 22, 32, 2, 9, 0], [0, 8, 7, 23, 28, 8, 5, 1], [0, 8, 7, 24, 24, 14, 1, 2], [0, 8, 8, 19, 34, 4, 6, 1], [0, 8, 8, 20, 30, 10, 2, 2], [0, 8, 9, 15, 40, 0, 7, 1], [0, 8, 9, 16, 36, 6, 3, 2], [0, 8, 10, 12, 42, 2, 4, 2], [0, 8, 10, 13, 38, 8, 0, 3], [0, 8, 11, 9, 44, 4, 1, 3], [0, 8, 12, 5, 50, 0, 2, 3], [0, 9, 0, 40, 10, 15, 6, 0], [0, 9, 0, 41, 6, 21, 2, 1], [0, 9, 1, 36, 16, 11, 7, 0], [0, 9, 1, 37, 12, 17, 3, 1], [0, 9, 2, 32, 22, 7, 8, 0], [0, 9, 2, 33, 18, 13, 4, 1], [0, 9, 2, 34, 14, 19, 0, 2], [0, 9, 3, 28, 28, 3, 9, 0], [0, 9, 3, 29, 24, 9, 5, 1], [0, 9, 3, 30, 20, 15, 1, 2], [0, 9, 4, 25, 30, 5, 6, 1], [0, 9, 4, 26, 26, 11, 2, 2], [0, 9, 5, 21, 36, 1, 7, 1], [0, 9, 5, 22, 32, 7, 3, 2], [0, 9, 6, 18, 38, 3, 4, 2], [0, 9, 6, 19, 34, 9, 0, 3], [0, 9, 7, 15, 40, 5, 1, 3], [0, 9, 8, 11, 46, 1, 2, 3], [0, 10, 0, 30, 30, 0, 10, 0], [0, 10, 0, 31, 26, 6, 6, 1], [0, 10, 0, 32, 22, 12, 2, 2], [0, 10, 1, 27, 32, 2, 7, 1], [0, 10, 1, 28, 28, 8, 3, 2], [0, 10, 2, 24, 34, 4, 4, 2], [0, 10, 2, 25, 30, 10, 0, 3], [0, 10, 3, 20, 40, 0, 5, 2], [0, 10, 3, 21, 36, 6, 1, 3], [0, 10, 4, 17, 42, 2, 2, 3], [0, 10, 6, 10, 50, 0, 0, 4], [0, 11, 0, 23, 38, 3, 2, 3], [0, 11, 2, 16, 46, 1, 0, 4]}
(8, 80, 3) has 607 possible DDs: {[0, 0, 14, 24, 4, 24, 14, 0, 0], [0, 0, 14, 25, 0, 30, 10, 1, 0], [0, 0, 15, 20, 10, 20, 15, 0, 0], [0, 0, 15, 21, 6, 26, 11, 1, 0], [0, 0, 15, 22, 2, 32, 7, 2, 0], [0, 0, 16, 16, 16, 16, 16, 0, 0], [0, 0, 16, 17, 12, 22, 12, 1, 0], [0, 0, 16, 18, 8, 28, 8, 2, 0], [0, 0, 16, 19, 4, 34, 4, 3, 0], [0, 0, 16, 20, 0, 40, 0, 4, 0], [0, 0, 16, 20, 1, 36, 6, 0, 1], [0, 0, 17, 12, 22, 12, 17, 0, 0], [0, 0, 17, 13, 18, 18, 13, 1, 0], [0, 0, 17, 14, 14, 24, 9, 2, 0], [0, 0, 17, 15, 10, 30, 5, 3, 0], [0, 0, 17, 16, 6, 36, 1, 4, 0], [0, 0, 17, 16, 7, 32, 7, 0, 1], [0, 0, 17, 17, 3, 38, 3, 1, 1], [0, 0, 18, 8, 28, 8, 18, 0, 0], [0, 0, 18, 9, 24, 14, 14, 1, 0], [0, 0, 18, 10, 20, 20, 10, 2, 0], [0, 0, 18, 11, 16, 26, 6, 3, 0], [0, 0, 18, 12, 12, 32, 2, 4, 0], [0, 0, 18, 12, 13, 28, 8, 0, 1], [0, 0, 18, 13, 9, 34, 4, 1, 1], [0, 0, 18, 14, 5, 40, 0, 2, 1], [0, 0, 19, 4, 34, 4, 19, 0, 0], [0, 0, 19, 5, 30, 10, 15, 1, 0], [0, 0, 19, 6, 26, 16, 11, 2, 0], [0, 0, 19, 7, 22, 22, 7, 3, 0], [0, 0, 19, 8, 18, 28, 3, 4, 0], [0, 0, 19, 8, 19, 24, 9, 0, 1], [0, 0, 19, 9, 15, 30, 5, 1, 1], [0, 0, 19, 10, 11, 36, 1, 2, 1], [0, 0, 20, 0, 40, 0, 20, 0, 0], [0, 0, 20, 1, 36, 6, 16, 1, 0], [0, 0, 20, 2, 32, 12, 12, 2, 0], [0, 0, 20, 3, 28, 18, 8, 3, 0], [0, 0, 20, 4, 24, 24, 4, 4, 0], [0, 0, 20, 4, 25, 20, 10, 0, 1], [0, 0, 20, 5, 20, 30, 0, 5, 0], [0, 0, 20, 5, 21, 26, 6, 1, 1], [0, 0, 20, 6, 17, 32, 2, 2, 1], [0, 0, 20, 8, 10, 40, 0, 0, 2], [0, 0, 21, 0, 30, 20, 5, 4, 0], [0, 0, 21, 0, 31, 16, 11, 0, 1], [0, 0, 21, 1, 26, 26, 1, 5, 0], [0, 0, 21, 1, 27, 22, 7, 1, 1], [0, 0, 21, 2, 23, 28, 3, 2, 1], [0, 0, 21, 4, 16, 36, 1, 0, 2], [0, 0, 22, 0, 22, 32, 2, 0, 2], [0, 1, 10, 30, 0, 25, 14, 0, 0], [0, 1, 11, 26, 6, 21, 15, 0, 0], [0, 1, 11, 27, 2, 27, 11, 1, 0], [0, 1, 12, 22, 12, 17, 16, 0, 0], [0, 1, 12, 23, 8, 23, 12, 1, 0], [0, 1, 12, 24, 4, 29, 8, 2, 0], [0, 1, 12, 25, 0, 35, 4, 3, 0], [0, 1, 13, 18, 18, 13, 17, 0, 0], [0, 1, 13, 19, 14, 19, 13, 1, 0], [0, 1, 13, 20, 10, 25, 9, 2, 0], [0, 1, 13, 21, 6, 31, 5, 3, 0], [0, 1, 13, 22, 2, 37, 1, 4, 0], [0, 1, 13, 22, 3, 33, 7, 0, 1], [0, 1, 14, 14, 24, 9, 18, 0, 0], [0, 1, 14, 15, 20, 15, 14, 1, 0], [0, 1, 14, 16, 16, 21, 10, 2, 0], [0, 1, 14, 17, 12, 27, 6, 3, 0], [0, 1, 14, 18, 8, 33, 2, 4, 0], [0, 1, 14, 18, 9, 29, 8, 0, 1], [0, 1, 14, 19, 5, 35, 4, 1, 1], [0, 1, 14, 20, 1, 41, 0, 2, 1], [0, 1, 15, 10, 30, 5, 19, 0, 0], [0, 1, 15, 11, 26, 11, 15, 1, 0], [0, 1, 15, 12, 22, 17, 11, 2, 0], [0, 1, 15, 13, 18, 23, 7, 3, 0], [0, 1, 15, 14, 14, 29, 3, 4, 0], [0, 1, 15, 14, 15, 25, 9, 0, 1], [0, 1, 15, 15, 11, 31, 5, 1, 1], [0, 1, 15, 16, 7, 37, 1, 2, 1], [0, 1, 16, 6, 36, 1, 20, 0, 0], [0, 1, 16, 7, 32, 7, 16, 1, 0], [0, 1, 16, 8, 28, 13, 12, 2, 0], [0, 1, 16, 9, 24, 19, 8, 3, 0], [0, 1, 16, 10, 20, 25, 4, 4, 0], [0, 1, 16, 10, 21, 21, 10, 0, 1], [0, 1, 16, 11, 16, 31, 0, 5, 0], [0, 1, 16, 11, 17, 27, 6, 1, 1], [0, 1, 16, 12, 13, 33, 2, 2, 1], [0, 1, 16, 14, 6, 41, 0, 0, 2], [0, 1, 17, 3, 38, 3, 17, 1, 0], [0, 1, 17, 4, 34, 9, 13, 2, 0], [0, 1, 17, 5, 30, 15, 9, 3, 0], [0, 1, 17, 6, 26, 21, 5, 4, 0], [0, 1, 17, 6, 27, 17, 11, 0, 1], [0, 1, 17, 7, 22, 27, 1, 5, 0], [0, 1, 17, 7, 23, 23, 7, 1, 1], [0, 1, 17, 8, 19, 29, 3, 2, 1], [0, 1, 17, 10, 12, 37, 1, 0, 2], [0, 1, 18, 0, 40, 5, 14, 2, 0], [0, 1, 18, 1, 36, 11, 10, 3, 0], [0, 1, 18, 2, 32, 17, 6, 4, 0], [0, 1, 18, 2, 33, 13, 12, 0, 1], [0, 1, 18, 3, 28, 23, 2, 5, 0], [0, 1, 18, 3, 29, 19, 8, 1, 1], [0, 1, 18, 4, 25, 25, 4, 2, 1], [0, 1, 18, 5, 21, 31, 0, 3, 1], [0, 1, 18, 6, 18, 33, 2, 0, 2], [0, 1, 19, 0, 31, 21, 5, 2, 1], [0, 1, 19, 1, 27, 27, 1, 3, 1], [0, 1, 19, 2, 24, 29, 3, 0, 2], [0, 2, 7, 32, 2, 22, 15, 0, 0], [0, 2, 8, 28, 8, 18, 16, 0, 0], [0, 2, 8, 29, 4, 24, 12, 1, 0], [0, 2, 8, 30, 0, 30, 8, 2, 0], [0, 2, 9, 24, 14, 14, 17, 0, 0], [0, 2, 9, 25, 10, 20, 13, 1, 0], [0, 2, 9, 26, 6, 26, 9, 2, 0], [0, 2, 9, 27, 2, 32, 5, 3, 0], [0, 2, 10, 20, 20, 10, 18, 0, 0], [0, 2, 10, 21, 16, 16, 14, 1, 0], [0, 2, 10, 22, 12, 22, 10, 2, 0], [0, 2, 10, 23, 8, 28, 6, 3, 0], [0, 2, 10, 24, 4, 34, 2, 4, 0], [0, 2, 10, 24, 5, 30, 8, 0, 1], [0, 2, 10, 25, 1, 36, 4, 1, 1], [0, 2, 11, 16, 26, 6, 19, 0, 0], [0, 2, 11, 17, 22, 12, 15, 1, 0], [0, 2, 11, 18, 18, 18, 11, 2, 0], [0, 2, 11, 19, 14, 24, 7, 3, 0], [0, 2, 11, 20, 10, 30, 3, 4, 0], [0, 2, 11, 20, 11, 26, 9, 0, 1], [0, 2, 11, 21, 7, 32, 5, 1, 1], [0, 2, 11, 22, 3, 38, 1, 2, 1], [0, 2, 12, 12, 32, 2, 20, 0, 0], [0, 2, 12, 13, 28, 8, 16, 1, 0], [0, 2, 12, 14, 24, 14, 12, 2, 0], [0, 2, 12, 15, 20, 20, 8, 3, 0], [0, 2, 12, 16, 16, 26, 4, 4, 0], [0, 2, 12, 16, 17, 22, 10, 0, 1], [0, 2, 12, 17, 12, 32, 0, 5, 0], [0, 2, 12, 17, 13, 28, 6, 1, 1], [0, 2, 12, 18, 9, 34, 2, 2, 1], [0, 2, 12, 20, 2, 42, 0, 0, 2], [0, 2, 13, 9, 34, 4, 17, 1, 0], [0, 2, 13, 10, 30, 10, 13, 2, 0], [0, 2, 13, 11, 26, 16, 9, 3, 0], [0, 2, 13, 12, 22, 22, 5, 4, 0], [0, 2, 13, 12, 23, 18, 11, 0, 1], [0, 2, 13, 13, 18, 28, 1, 5, 0], [0, 2, 13, 13, 19, 24, 7, 1, 1], [0, 2, 13, 14, 15, 30, 3, 2, 1], [0, 2, 13, 16, 8, 38, 1, 0, 2], [0, 2, 14, 5, 40, 0, 18, 1, 0], [0, 2, 14, 6, 36, 6, 14, 2, 0], [0, 2, 14, 7, 32, 12, 10, 3, 0], [0, 2, 14, 8, 28, 18, 6, 4, 0], [0, 2, 14, 8, 29, 14, 12, 0, 1], [0, 2, 14, 9, 24, 24, 2, 5, 0], [0, 2, 14, 9, 25, 20, 8, 1, 1], [0, 2, 14, 10, 21, 26, 4, 2, 1], [0, 2, 14, 11, 17, 32, 0, 3, 1], [0, 2, 14, 12, 14, 34, 2, 0, 2], [0, 2, 15, 2, 42, 2, 15, 2, 0], [0, 2, 15, 3, 38, 8, 11, 3, 0], [0, 2, 15, 4, 34, 14, 7, 4, 0], [0, 2, 15, 4, 35, 10, 13, 0, 1], [0, 2, 15, 5, 30, 20, 3, 5, 0], [0, 2, 15, 5, 31, 16, 9, 1, 1], [0, 2, 15, 6, 27, 22, 5, 2, 1], [0, 2, 15, 7, 23, 28, 1, 3, 1], [0, 2, 15, 8, 20, 30, 3, 0, 2], [0, 2, 16, 0, 40, 10, 8, 4, 0], [0, 2, 16, 0, 41, 6, 14, 0, 1], [0, 2, 16, 1, 36, 16, 4, 5, 0], [0, 2, 16, 1, 37, 12, 10, 1, 1], [0, 2, 16, 2, 32, 22, 0, 6, 0], [0, 2, 16, 2, 33, 18, 6, 2, 1], [0, 2, 16, 3, 29, 24, 2, 3, 1], [0, 2, 16, 4, 26, 26, 4, 0, 2], [0, 2, 16, 5, 22, 32, 0, 1, 2], [0, 2, 17, 0, 32, 22, 5, 0, 2], [0, 2, 17, 1, 28, 28, 1, 1, 2], [0, 3, 4, 34, 4, 19, 16, 0, 0], [0, 3, 4, 35, 0, 25, 12, 1, 0], [0, 3, 5, 30, 10, 15, 17, 0, 0], [0, 3, 5, 31, 6, 21, 13, 1, 0], [0, 3, 5, 32, 2, 27, 9, 2, 0], [0, 3, 6, 26, 16, 11, 18, 0, 0], [0, 3, 6, 27, 12, 17, 14, 1, 0], [0, 3, 6, 28, 8, 23, 10, 2, 0], [0, 3, 6, 29, 4, 29, 6, 3, 0], [0, 3, 6, 30, 0, 35, 2, 4, 0], [0, 3, 6, 30, 1, 31, 8, 0, 1], [0, 3, 7, 22, 22, 7, 19, 0, 0], [0, 3, 7, 23, 18, 13, 15, 1, 0], [0, 3, 7, 24, 14, 19, 11, 2, 0], [0, 3, 7, 25, 10, 25, 7, 3, 0], [0, 3, 7, 26, 6, 31, 3, 4, 0], [0, 3, 7, 26, 7, 27, 9, 0, 1], [0, 3, 7, 27, 3, 33, 5, 1, 1], [0, 3, 8, 18, 28, 3, 20, 0, 0], [0, 3, 8, 19, 24, 9, 16, 1, 0], [0, 3, 8, 20, 20, 15, 12, 2, 0], [0, 3, 8, 21, 16, 21, 8, 3, 0], [0, 3, 8, 22, 12, 27, 4, 4, 0], [0, 3, 8, 22, 13, 23, 10, 0, 1], [0, 3, 8, 23, 8, 33, 0, 5, 0], [0, 3, 8, 23, 9, 29, 6, 1, 1], [0, 3, 8, 24, 5, 35, 2, 2, 1], [0, 3, 9, 15, 30, 5, 17, 1, 0], [0, 3, 9, 16, 26, 11, 13, 2, 0], [0, 3, 9, 17, 22, 17, 9, 3, 0], [0, 3, 9, 18, 18, 23, 5, 4, 0], [0, 3, 9, 18, 19, 19, 11, 0, 1], [0, 3, 9, 19, 14, 29, 1, 5, 0], [0, 3, 9, 19, 15, 25, 7, 1, 1], [0, 3, 9, 20, 11, 31, 3, 2, 1], [0, 3, 9, 22, 4, 39, 1, 0, 2], [0, 3, 10, 11, 36, 1, 18, 1, 0], [0, 3, 10, 12, 32, 7, 14, 2, 0], [0, 3, 10, 13, 28, 13, 10, 3, 0], [0, 3, 10, 14, 24, 19, 6, 4, 0], [0, 3, 10, 14, 25, 15, 12, 0, 1], [0, 3, 10, 15, 20, 25, 2, 5, 0], [0, 3, 10, 15, 21, 21, 8, 1, 1], [0, 3, 10, 16, 17, 27, 4, 2, 1], [0, 3, 10, 17, 13, 33, 0, 3, 1], [0, 3, 10, 18, 10, 35, 2, 0, 2], [0, 3, 11, 8, 38, 3, 15, 2, 0], [0, 3, 11, 9, 34, 9, 11, 3, 0], [0, 3, 11, 10, 30, 15, 7, 4, 0], [0, 3, 11, 10, 31, 11, 13, 0, 1], [0, 3, 11, 11, 26, 21, 3, 5, 0], [0, 3, 11, 11, 27, 17, 9, 1, 1], [0, 3, 11, 12, 23, 23, 5, 2, 1], [0, 3, 11, 13, 19, 29, 1, 3, 1], [0, 3, 11, 14, 16, 31, 3, 0, 2], [0, 3, 12, 5, 40, 5, 12, 3, 0], [0, 3, 12, 6, 36, 11, 8, 4, 0], [0, 3, 12, 6, 37, 7, 14, 0, 1], [0, 3, 12, 7, 32, 17, 4, 5, 0], [0, 3, 12, 7, 33, 13, 10, 1, 1], [0, 3, 12, 8, 28, 23, 0, 6, 0], [0, 3, 12, 8, 29, 19, 6, 2, 1], [0, 3, 12, 9, 25, 25, 2, 3, 1], [0, 3, 12, 10, 22, 27, 4, 0, 2], [0, 3, 12, 11, 18, 33, 0, 1, 2], [0, 3, 13, 1, 46, 1, 13, 3, 0], [0, 3, 13, 2, 42, 7, 9, 4, 0], [0, 3, 13, 2, 43, 3, 15, 0, 1], [0, 3, 13, 3, 38, 13, 5, 5, 0], [0, 3, 13, 3, 39, 9, 11, 1, 1], [0, 3, 13, 4, 34, 19, 1, 6, 0], [0, 3, 13, 4, 35, 15, 7, 2, 1], [0, 3, 13, 5, 31, 21, 3, 3, 1], [0, 3, 13, 6, 28, 23, 5, 0, 2], [0, 3, 13, 7, 24, 29, 1, 1, 2], [0, 3, 14, 0, 40, 15, 2, 6, 0], [0, 3, 14, 0, 41, 11, 8, 2, 1], [0, 3, 14, 1, 37, 17, 4, 3, 1], [0, 3, 14, 2, 33, 23, 0, 4, 1], [0, 3, 14, 2, 34, 19, 6, 0, 2], [0, 3, 14, 3, 30, 25, 2, 1, 2], [0, 4, 0, 40, 0, 20, 16, 0, 0], [0, 4, 1, 36, 6, 16, 17, 0, 0], [0, 4, 1, 37, 2, 22, 13, 1, 0], [0, 4, 2, 32, 12, 12, 18, 0, 0], [0, 4, 2, 33, 8, 18, 14, 1, 0], [0, 4, 2, 34, 4, 24, 10, 2, 0], [0, 4, 2, 35, 0, 30, 6, 3, 0], [0, 4, 3, 28, 18, 8, 19, 0, 0], [0, 4, 3, 29, 14, 14, 15, 1, 0], [0, 4, 3, 30, 10, 20, 11, 2, 0], [0, 4, 3, 31, 6, 26, 7, 3, 0], [0, 4, 3, 32, 2, 32, 3, 4, 0], [0, 4, 3, 32, 3, 28, 9, 0, 1], [0, 4, 4, 24, 24, 4, 20, 0, 0], [0, 4, 4, 25, 20, 10, 16, 1, 0], [0, 4, 4, 26, 16, 16, 12, 2, 0], [0, 4, 4, 27, 12, 22, 8, 3, 0], [0, 4, 4, 28, 8, 28, 4, 4, 0], [0, 4, 4, 28, 9, 24, 10, 0, 1], [0, 4, 4, 29, 4, 34, 0, 5, 0], [0, 4, 4, 29, 5, 30, 6, 1, 1], [0, 4, 4, 30, 1, 36, 2, 2, 1], [0, 4, 5, 20, 30, 0, 21, 0, 0], [0, 4, 5, 21, 26, 6, 17, 1, 0], [0, 4, 5, 22, 22, 12, 13, 2, 0], [0, 4, 5, 23, 18, 18, 9, 3, 0], [0, 4, 5, 24, 14, 24, 5, 4, 0], [0, 4, 5, 24, 15, 20, 11, 0, 1], [0, 4, 5, 25, 10, 30, 1, 5, 0], [0, 4, 5, 25, 11, 26, 7, 1, 1], [0, 4, 5, 26, 7, 32, 3, 2, 1], [0, 4, 5, 28, 0, 40, 1, 0, 2], [0, 4, 6, 17, 32, 2, 18, 1, 0], [0, 4, 6, 18, 28, 8, 14, 2, 0], [0, 4, 6, 19, 24, 14, 10, 3, 0], [0, 4, 6, 20, 20, 20, 6, 4, 0], [0, 4, 6, 20, 21, 16, 12, 0, 1], [0, 4, 6, 21, 16, 26, 2, 5, 0], [0, 4, 6, 21, 17, 22, 8, 1, 1], [0, 4, 6, 22, 13, 28, 4, 2, 1], [0, 4, 6, 23, 9, 34, 0, 3, 1], [0, 4, 6, 24, 6, 36, 2, 0, 2], [0, 4, 7, 14, 34, 4, 15, 2, 0], [0, 4, 7, 15, 30, 10, 11, 3, 0], [0, 4, 7, 16, 26, 16, 7, 4, 0], [0, 4, 7, 16, 27, 12, 13, 0, 1], [0, 4, 7, 17, 22, 22, 3, 5, 0], [0, 4, 7, 17, 23, 18, 9, 1, 1], [0, 4, 7, 18, 19, 24, 5, 2, 1], [0, 4, 7, 19, 15, 30, 1, 3, 1], [0, 4, 7, 20, 12, 32, 3, 0, 2], [0, 4, 8, 10, 40, 0, 16, 2, 0], [0, 4, 8, 11, 36, 6, 12, 3, 0], [0, 4, 8, 12, 32, 12, 8, 4, 0], [0, 4, 8, 12, 33, 8, 14, 0, 1], [0, 4, 8, 13, 28, 18, 4, 5, 0], [0, 4, 8, 13, 29, 14, 10, 1, 1], [0, 4, 8, 14, 24, 24, 0, 6, 0], [0, 4, 8, 14, 25, 20, 6, 2, 1], [0, 4, 8, 15, 21, 26, 2, 3, 1], [0, 4, 8, 16, 18, 28, 4, 0, 2], [0, 4, 8, 17, 14, 34, 0, 1, 2], [0, 4, 9, 7, 42, 2, 13, 3, 0], [0, 4, 9, 8, 38, 8, 9, 4, 0], [0, 4, 9, 8, 39, 4, 15, 0, 1], [0, 4, 9, 9, 34, 14, 5, 5, 0], [0, 4, 9, 9, 35, 10, 11, 1, 1], [0, 4, 9, 10, 30, 20, 1, 6, 0], [0, 4, 9, 10, 31, 16, 7, 2, 1], [0, 4, 9, 11, 27, 22, 3, 3, 1], [0, 4, 9, 12, 24, 24, 5, 0, 2], [0, 4, 9, 13, 20, 30, 1, 1, 2], [0, 4, 10, 4, 44, 4, 10, 4, 0], [0, 4, 10, 4, 45, 0, 16, 0, 1], [0, 4, 10, 5, 40, 10, 6, 5, 0], [0, 4, 10, 5, 41, 6, 12, 1, 1], [0, 4, 10, 6, 36, 16, 2, 6, 0], [0, 4, 10, 6, 37, 12, 8, 2, 1], [0, 4, 10, 7, 33, 18, 4, 3, 1], [0, 4, 10, 8, 29, 24, 0, 4, 1], [0, 4, 10, 8, 30, 20, 6, 0, 2], [0, 4, 10, 9, 26, 26, 2, 1, 2], [0, 4, 11, 0, 50, 0, 11, 4, 0], [0, 4, 11, 1, 46, 6, 7, 5, 0], [0, 4, 11, 1, 47, 2, 13, 1, 1], [0, 4, 11, 2, 42, 12, 3, 6, 0], [0, 4, 11, 2, 43, 8, 9, 2, 1], [0, 4, 11, 3, 39, 14, 5, 3, 1], [0, 4, 11, 4, 35, 20, 1, 4, 1], [0, 4, 11, 4, 36, 16, 7, 0, 2], [0, 4, 11, 5, 32, 22, 3, 1, 2], [0, 4, 12, 0, 41, 16, 2, 4, 1], [0, 4, 12, 0, 42, 12, 8, 0, 2], [0, 4, 12, 1, 38, 18, 4, 1, 2], [0, 4, 12, 2, 34, 24, 0, 2, 2], [0, 5, 0, 30, 20, 5, 20, 0, 0], [0, 5, 0, 31, 16, 11, 16, 1, 0], [0, 5, 0, 32, 12, 17, 12, 2, 0], [0, 5, 0, 33, 8, 23, 8, 3, 0], [0, 5, 0, 34, 4, 29, 4, 4, 0], [0, 5, 0, 34, 5, 25, 10, 0, 1], [0, 5, 0, 35, 0, 35, 0, 5, 0], [0, 5, 0, 35, 1, 31, 6, 1, 1], [0, 5, 1, 26, 26, 1, 21, 0, 0], [0, 5, 1, 27, 22, 7, 17, 1, 0], [0, 5, 1, 28, 18, 13, 13, 2, 0], [0, 5, 1, 29, 14, 19, 9, 3, 0], [0, 5, 1, 30, 10, 25, 5, 4, 0], [0, 5, 1, 30, 11, 21, 11, 0, 1], [0, 5, 1, 31, 6, 31, 1, 5, 0], [0, 5, 1, 31, 7, 27, 7, 1, 1], [0, 5, 1, 32, 3, 33, 3, 2, 1], [0, 5, 2, 23, 28, 3, 18, 1, 0], [0, 5, 2, 24, 24, 9, 14, 2, 0], [0, 5, 2, 25, 20, 15, 10, 3, 0], [0, 5, 2, 26, 16, 21, 6, 4, 0], [0, 5, 2, 26, 17, 17, 12, 0, 1], [0, 5, 2, 27, 12, 27, 2, 5, 0], [0, 5, 2, 27, 13, 23, 8, 1, 1], [0, 5, 2, 28, 9, 29, 4, 2, 1], [0, 5, 2, 29, 5, 35, 0, 3, 1], [0, 5, 2, 30, 2, 37, 2, 0, 2], [0, 5, 3, 20, 30, 5, 15, 2, 0], [0, 5, 3, 21, 26, 11, 11, 3, 0], [0, 5, 3, 22, 22, 17, 7, 4, 0], [0, 5, 3, 22, 23, 13, 13, 0, 1], [0, 5, 3, 23, 18, 23, 3, 5, 0], [0, 5, 3, 23, 19, 19, 9, 1, 1], [0, 5, 3, 24, 15, 25, 5, 2, 1], [0, 5, 3, 25, 11, 31, 1, 3, 1], [0, 5, 3, 26, 8, 33, 3, 0, 2], [0, 5, 4, 16, 36, 1, 16, 2, 0], [0, 5, 4, 17, 32, 7, 12, 3, 0], [0, 5, 4, 18, 28, 13, 8, 4, 0], [0, 5, 4, 18, 29, 9, 14, 0, 1], [0, 5, 4, 19, 24, 19, 4, 5, 0], [0, 5, 4, 19, 25, 15, 10, 1, 1], [0, 5, 4, 20, 20, 25, 0, 6, 0], [0, 5, 4, 20, 21, 21, 6, 2, 1], [0, 5, 4, 21, 17, 27, 2, 3, 1], [0, 5, 4, 22, 14, 29, 4, 0, 2], [0, 5, 4, 23, 10, 35, 0, 1, 2], [0, 5, 5, 13, 38, 3, 13, 3, 0], [0, 5, 5, 14, 34, 9, 9, 4, 0], [0, 5, 5, 14, 35, 5, 15, 0, 1], [0, 5, 5, 15, 30, 15, 5, 5, 0], [0, 5, 5, 15, 31, 11, 11, 1, 1], [0, 5, 5, 16, 26, 21, 1, 6, 0], [0, 5, 5, 16, 27, 17, 7, 2, 1], [0, 5, 5, 17, 23, 23, 3, 3, 1], [0, 5, 5, 18, 20, 25, 5, 0, 2], [0, 5, 5, 19, 16, 31, 1, 1, 2], [0, 5, 6, 10, 40, 5, 10, 4, 0], [0, 5, 6, 10, 41, 1, 16, 0, 1], [0, 5, 6, 11, 36, 11, 6, 5, 0], [0, 5, 6, 11, 37, 7, 12, 1, 1], [0, 5, 6, 12, 32, 17, 2, 6, 0], [0, 5, 6, 12, 33, 13, 8, 2, 1], [0, 5, 6, 13, 29, 19, 4, 3, 1], [0, 5, 6, 14, 25, 25, 0, 4, 1], [0, 5, 6, 14, 26, 21, 6, 0, 2], [0, 5, 6, 15, 22, 27, 2, 1, 2], [0, 5, 7, 6, 46, 1, 11, 4, 0], [0, 5, 7, 7, 42, 7, 7, 5, 0], [0, 5, 7, 7, 43, 3, 13, 1, 1], [0, 5, 7, 8, 38, 13, 3, 6, 0], [0, 5, 7, 8, 39, 9, 9, 2, 1], [0, 5, 7, 9, 35, 15, 5, 3, 1], [0, 5, 7, 10, 31, 21, 1, 4, 1], [0, 5, 7, 10, 32, 17, 7, 0, 2], [0, 5, 7, 11, 28, 23, 3, 1, 2], [0, 5, 8, 3, 48, 3, 8, 5, 0], [0, 5, 8, 4, 44, 9, 4, 6, 0], [0, 5, 8, 4, 45, 5, 10, 2, 1], [0, 5, 8, 5, 40, 15, 0, 7, 0], [0, 5, 8, 5, 41, 11, 6, 3, 1], [0, 5, 8, 6, 37, 17, 2, 4, 1], [0, 5, 8, 6, 38, 13, 8, 0, 2], [0, 5, 8, 7, 34, 19, 4, 1, 2], [0, 5, 8, 8, 30, 25, 0, 2, 2], [0, 5, 9, 0, 50, 5, 5, 6, 0], [0, 5, 9, 0, 51, 1, 11, 2, 1], [0, 5, 9, 1, 46, 11, 1, 7, 0], [0, 5, 9, 1, 47, 7, 7, 3, 1], [0, 5, 9, 2, 43, 13, 3, 4, 1], [0, 5, 9, 2, 44, 9, 9, 0, 2], [0, 5, 9, 3, 40, 15, 5, 1, 2], [0, 5, 9, 4, 36, 21, 1, 2, 2], [0, 5, 10, 0, 42, 17, 2, 2, 2], [0, 5, 10, 2, 35, 25, 0, 0, 3], [0, 6, 0, 22, 32, 2, 16, 2, 0], [0, 6, 0, 23, 28, 8, 12, 3, 0], [0, 6, 0, 24, 24, 14, 8, 4, 0], [0, 6, 0, 24, 25, 10, 14, 0, 1], [0, 6, 0, 25, 20, 20, 4, 5, 0], [0, 6, 0, 25, 21, 16, 10, 1, 1], [0, 6, 0, 26, 16, 26, 0, 6, 0], [0, 6, 0, 26, 17, 22, 6, 2, 1], [0, 6, 0, 27, 13, 28, 2, 3, 1], [0, 6, 0, 28, 10, 30, 4, 0, 2], [0, 6, 0, 29, 6, 36, 0, 1, 2], [0, 6, 1, 19, 34, 4, 13, 3, 0], [0, 6, 1, 20, 30, 10, 9, 4, 0], [0, 6, 1, 20, 31, 6, 15, 0, 1], [0, 6, 1, 21, 26, 16, 5, 5, 0], [0, 6, 1, 21, 27, 12, 11, 1, 1], [0, 6, 1, 22, 22, 22, 1, 6, 0], [0, 6, 1, 22, 23, 18, 7, 2, 1], [0, 6, 1, 23, 19, 24, 3, 3, 1], [0, 6, 1, 24, 16, 26, 5, 0, 2], [0, 6, 1, 25, 12, 32, 1, 1, 2], [0, 6, 2, 15, 40, 0, 14, 3, 0], [0, 6, 2, 16, 36, 6, 10, 4, 0], [0, 6, 2, 16, 37, 2, 16, 0, 1], [0, 6, 2, 17, 32, 12, 6, 5, 0], [0, 6, 2, 17, 33, 8, 12, 1, 1], [0, 6, 2, 18, 28, 18, 2, 6, 0], [0, 6, 2, 18, 29, 14, 8, 2, 1], [0, 6, 2, 19, 25, 20, 4, 3, 1], [0, 6, 2, 20, 21, 26, 0, 4, 1], [0, 6, 2, 20, 22, 22, 6, 0, 2], [0, 6, 2, 21, 18, 28, 2, 1, 2], [0, 6, 3, 12, 42, 2, 11, 4, 0], [0, 6, 3, 13, 38, 8, 7, 5, 0], [0, 6, 3, 13, 39, 4, 13, 1, 1], [0, 6, 3, 14, 34, 14, 3, 6, 0], [0, 6, 3, 14, 35, 10, 9, 2, 1], [0, 6, 3, 15, 31, 16, 5, 3, 1], [0, 6, 3, 16, 27, 22, 1, 4, 1], [0, 6, 3, 16, 28, 18, 7, 0, 2], [0, 6, 3, 17, 24, 24, 3, 1, 2], [0, 6, 4, 9, 44, 4, 8, 5, 0], [0, 6, 4, 9, 45, 0, 14, 1, 1], [0, 6, 4, 10, 40, 10, 4, 6, 0], [0, 6, 4, 10, 41, 6, 10, 2, 1], [0, 6, 4, 11, 36, 16, 0, 7, 0], [0, 6, 4, 11, 37, 12, 6, 3, 1], [0, 6, 4, 12, 33, 18, 2, 4, 1], [0, 6, 4, 12, 34, 14, 8, 0, 2], [0, 6, 4, 13, 30, 20, 4, 1, 2], [0, 6, 4, 14, 26, 26, 0, 2, 2], [0, 6, 5, 5, 50, 0, 9, 5, 0], [0, 6, 5, 6, 46, 6, 5, 6, 0], [0, 6, 5, 6, 47, 2, 11, 2, 1], [0, 6, 5, 7, 42, 12, 1, 7, 0], [0, 6, 5, 7, 43, 8, 7, 3, 1], [0, 6, 5, 8, 39, 14, 3, 4, 1], [0, 6, 5, 8, 40, 10, 9, 0, 2], [0, 6, 5, 9, 36, 16, 5, 1, 2], [0, 6, 5, 10, 32, 22, 1, 2, 2], [0, 6, 6, 2, 52, 2, 6, 6, 0], [0, 6, 6, 3, 48, 8, 2, 7, 0], [0, 6, 6, 3, 49, 4, 8, 3, 1], [0, 6, 6, 4, 45, 10, 4, 4, 1], [0, 6, 6, 4, 46, 6, 10, 0, 2], [0, 6, 6, 5, 41, 16, 0, 5, 1], [0, 6, 6, 5, 42, 12, 6, 1, 2], [0, 6, 6, 6, 38, 18, 2, 2, 2], [0, 6, 6, 8, 31, 26, 0, 0, 3], [0, 6, 7, 0, 51, 6, 5, 4, 1], [0, 6, 7, 0, 52, 2, 11, 0, 2], [0, 6, 7, 1, 47, 12, 1, 5, 1], [0, 6, 7, 1, 48, 8, 7, 1, 2], [0, 6, 7, 2, 44, 14, 3, 2, 2], [0, 6, 7, 4, 37, 22, 1, 0, 3], [0, 6, 8, 0, 43, 18, 2, 0, 3], [0, 7, 0, 15, 40, 5, 8, 5, 0], [0, 7, 0, 15, 41, 1, 14, 1, 1], [0, 7, 0, 16, 36, 11, 4, 6, 0], [0, 7, 0, 16, 37, 7, 10, 2, 1], [0, 7, 0, 17, 32, 17, 0, 7, 0], [0, 7, 0, 17, 33, 13, 6, 3, 1], [0, 7, 0, 18, 29, 19, 2, 4, 1], [0, 7, 0, 18, 30, 15, 8, 0, 2], [0, 7, 0, 19, 26, 21, 4, 1, 2], [0, 7, 0, 20, 22, 27, 0, 2, 2], [0, 7, 1, 11, 46, 1, 9, 5, 0], [0, 7, 1, 12, 42, 7, 5, 6, 0], [0, 7, 1, 12, 43, 3, 11, 2, 1], [0, 7, 1, 13, 38, 13, 1, 7, 0], [0, 7, 1, 13, 39, 9, 7, 3, 1], [0, 7, 1, 14, 35, 15, 3, 4, 1], [0, 7, 1, 14, 36, 11, 9, 0, 2], [0, 7, 1, 15, 32, 17, 5, 1, 2], [0, 7, 1, 16, 28, 23, 1, 2, 2], [0, 7, 2, 8, 48, 3, 6, 6, 0], [0, 7, 2, 9, 44, 9, 2, 7, 0], [0, 7, 2, 9, 45, 5, 8, 3, 1], [0, 7, 2, 10, 41, 11, 4, 4, 1], [0, 7, 2, 10, 42, 7, 10, 0, 2], [0, 7, 2, 11, 37, 17, 0, 5, 1], [0, 7, 2, 11, 38, 13, 6, 1, 2], [0, 7, 2, 12, 34, 19, 2, 2, 2], [0, 7, 2, 14, 27, 27, 0, 0, 3], [0, 7, 3, 5, 50, 5, 3, 7, 0], [0, 7, 3, 5, 51, 1, 9, 3, 1], [0, 7, 3, 6, 47, 7, 5, 4, 1], [0, 7, 3, 6, 48, 3, 11, 0, 2], [0, 7, 3, 7, 43, 13, 1, 5, 1], [0, 7, 3, 7, 44, 9, 7, 1, 2], [0, 7, 3, 8, 40, 15, 3, 2, 2], [0, 7, 3, 10, 33, 23, 1, 0, 3], [0, 7, 4, 1, 56, 1, 4, 7, 0], [0, 7, 4, 2, 52, 7, 0, 8, 0], [0, 7, 4, 2, 53, 3, 6, 4, 1], [0, 7, 4, 3, 49, 9, 2, 5, 1], [0, 7, 4, 3, 50, 5, 8, 1, 2], [0, 7, 4, 4, 46, 11, 4, 2, 2], [0, 7, 4, 5, 42, 17, 0, 3, 2], [0, 7, 4, 6, 39, 19, 2, 0, 3], [0, 7, 5, 0, 52, 7, 5, 2, 2], [0, 7, 5, 1, 48, 13, 1, 3, 2], [0, 7, 5, 2, 45, 15, 3, 0, 3], [0, 8, 0, 7, 52, 2, 4, 7, 0], [0, 8, 0, 8, 48, 8, 0, 8, 0], [0, 8, 0, 8, 49, 4, 6, 4, 1], [0, 8, 0, 8, 50, 0, 12, 0, 2], [0, 8, 0, 9, 45, 10, 2, 5, 1], [0, 8, 0, 9, 46, 6, 8, 1, 2], [0, 8, 0, 10, 42, 12, 4, 2, 2], [0, 8, 0, 11, 38, 18, 0, 3, 2], [0, 8, 0, 12, 35, 20, 2, 0, 3], [0, 8, 1, 4, 54, 4, 1, 8, 0], [0, 8, 1, 4, 55, 0, 7, 4, 1], [0, 8, 1, 5, 51, 6, 3, 5, 1], [0, 8, 1, 5, 52, 2, 9, 1, 2], [0, 8, 1, 6, 48, 8, 5, 2, 2], [0, 8, 1, 7, 44, 14, 1, 3, 2], [0, 8, 1, 8, 41, 16, 3, 0, 3], [0, 8, 2, 0, 60, 0, 2, 8, 0], [0, 8, 2, 1, 57, 2, 4, 5, 1], [0, 8, 2, 2, 53, 8, 0, 6, 1], [0, 8, 2, 2, 54, 4, 6, 2, 2], [0, 8, 2, 3, 50, 10, 2, 3, 2], [0, 8, 2, 4, 47, 12, 4, 0, 3], [0, 8, 2, 5, 43, 18, 0, 1, 3], [0, 8, 3, 0, 53, 8, 5, 0, 3], [0, 8, 3, 1, 49, 14, 1, 1, 3], [0, 9, 0, 0, 61, 1, 2, 6, 1], [0, 9, 0, 1, 58, 3, 4, 3, 2], [0, 9, 0, 2, 54, 9, 0, 4, 2], [0, 9, 0, 2, 55, 5, 6, 0, 3], [0, 9, 0, 3, 51, 11, 2, 1, 3]}
-------
(8, 80, 3) ALL distance distributions for EXTERNAL point
(3, 80, 3) has 0 possible DDs: {}
(4, 80, 3) has 1 possible DDs: {[0, 40, 0, 40, 0]}
(5, 80, 3) has 6 possible DDs: {[0, 20, 20, 20, 20, 0], [0, 21, 16, 26, 16, 1], [0, 22, 12, 32, 12, 2], [0, 23, 8, 38, 8, 3], [0, 24, 4, 44, 4, 4], [0, 25, 0, 50, 0, 5]}
(6, 80, 3) has 30 possible DDs: {[0, 7, 32, 2, 32, 7, 0], [0, 8, 28, 8, 28, 8, 0], [0, 8, 29, 4, 34, 4, 1], [0, 8, 30, 0, 40, 0, 2], [0, 9, 24, 14, 24, 9, 0], [0, 9, 25, 10, 30, 5, 1], [0, 9, 26, 6, 36, 1, 2], [0, 10, 20, 20, 20, 10, 0], [0, 10, 21, 16, 26, 6, 1], [0, 10, 22, 12, 32, 2, 2], [0, 11, 16, 26, 16, 11, 0], [0, 11, 17, 22, 22, 7, 1], [0, 11, 18, 18, 28, 3, 2], [0, 12, 12, 32, 12, 12, 0], [0, 12, 13, 28, 18, 8, 1], [0, 12, 14, 24, 24, 4, 2], [0, 12, 15, 20, 30, 0, 3], [0, 13, 8, 38, 8, 13, 0], [0, 13, 9, 34, 14, 9, 1], [0, 13, 10, 30, 20, 5, 2], [0, 13, 11, 26, 26, 1, 3], [0, 14, 4, 44, 4, 14, 0], [0, 14, 5, 40, 10, 10, 1], [0, 14, 6, 36, 16, 6, 2], [0, 14, 7, 32, 22, 2, 3], [0, 15, 0, 50, 0, 15, 0], [0, 15, 1, 46, 6, 11, 1], [0, 15, 2, 42, 12, 7, 2], [0, 15, 3, 38, 18, 3, 3], [0, 16, 0, 40, 20, 0, 4]}
(7, 80, 3) has 153 possible DDs: {[0, 0, 30, 10, 10, 30, 0, 0], [0, 0, 31, 6, 16, 26, 1, 0], [0, 0, 32, 2, 22, 22, 2, 0], [0, 1, 26, 16, 6, 31, 0, 0], [0, 1, 27, 12, 12, 27, 1, 0], [0, 1, 28, 8, 18, 23, 2, 0], [0, 1, 29, 4, 24, 19, 3, 0], [0, 1, 30, 0, 30, 15, 4, 0], [0, 1, 30, 1, 26, 21, 0, 1], [0, 2, 22, 22, 2, 32, 0, 0], [0, 2, 23, 18, 8, 28, 1, 0], [0, 2, 24, 14, 14, 24, 2, 0], [0, 2, 25, 10, 20, 20, 3, 0], [0, 2, 26, 6, 26, 16, 4, 0], [0, 2, 26, 7, 22, 22, 0, 1], [0, 2, 27, 2, 32, 12, 5, 0], [0, 2, 27, 3, 28, 18, 1, 1], [0, 3, 19, 24, 4, 29, 1, 0], [0, 3, 20, 20, 10, 25, 2, 0], [0, 3, 21, 16, 16, 21, 3, 0], [0, 3, 22, 12, 22, 17, 4, 0], [0, 3, 22, 13, 18, 23, 0, 1], [0, 3, 23, 8, 28, 13, 5, 0], [0, 3, 23, 9, 24, 19, 1, 1], [0, 3, 24, 4, 34, 9, 6, 0], [0, 3, 24, 5, 30, 15, 2, 1], [0, 3, 25, 0, 40, 5, 7, 0], [0, 3, 25, 1, 36, 11, 3, 1], [0, 4, 15, 30, 0, 30, 1, 0], [0, 4, 16, 26, 6, 26, 2, 0], [0, 4, 17, 22, 12, 22, 3, 0], [0, 4, 18, 18, 18, 18, 4, 0], [0, 4, 18, 19, 14, 24, 0, 1], [0, 4, 19, 14, 24, 14, 5, 0], [0, 4, 19, 15, 20, 20, 1, 1], [0, 4, 20, 10, 30, 10, 6, 0], [0, 4, 20, 11, 26, 16, 2, 1], [0, 4, 21, 6, 36, 6, 7, 0], [0, 4, 21, 7, 32, 12, 3, 1], [0, 4, 22, 2, 42, 2, 8, 0], [0, 4, 22, 3, 38, 8, 4, 1], [0, 4, 22, 4, 34, 14, 0, 2], [0, 4, 23, 0, 40, 10, 1, 2], [0, 5, 12, 32, 2, 27, 2, 0], [0, 5, 13, 28, 8, 23, 3, 0], [0, 5, 14, 24, 14, 19, 4, 0], [0, 5, 14, 25, 10, 25, 0, 1], [0, 5, 15, 20, 20, 15, 5, 0], [0, 5, 15, 21, 16, 21, 1, 1], [0, 5, 16, 16, 26, 11, 6, 0], [0, 5, 16, 17, 22, 17, 2, 1], [0, 5, 17, 12, 32, 7, 7, 0], [0, 5, 17, 13, 28, 13, 3, 1], [0, 5, 18, 8, 38, 3, 8, 0], [0, 5, 18, 9, 34, 9, 4, 1], [0, 5, 18, 10, 30, 15, 0, 2], [0, 5, 19, 5, 40, 5, 5, 1], [0, 5, 19, 6, 36, 11, 1, 2], [0, 5, 20, 1, 46, 1, 6, 1], [0, 5, 20, 2, 42, 7, 2, 2], [0, 6, 9, 34, 4, 24, 3, 0], [0, 6, 10, 30, 10, 20, 4, 0], [0, 6, 10, 31, 6, 26, 0, 1], [0, 6, 11, 26, 16, 16, 5, 0], [0, 6, 11, 27, 12, 22, 1, 1], [0, 6, 12, 22, 22, 12, 6, 0], [0, 6, 12, 23, 18, 18, 2, 1], [0, 6, 13, 18, 28, 8, 7, 0], [0, 6, 13, 19, 24, 14, 3, 1], [0, 6, 14, 14, 34, 4, 8, 0], [0, 6, 14, 15, 30, 10, 4, 1], [0, 6, 14, 16, 26, 16, 0, 2], [0, 6, 15, 10, 40, 0, 9, 0], [0, 6, 15, 11, 36, 6, 5, 1], [0, 6, 15, 12, 32, 12, 1, 2], [0, 6, 16, 7, 42, 2, 6, 1], [0, 6, 16, 8, 38, 8, 2, 2], [0, 6, 17, 4, 44, 4, 3, 2], [0, 6, 18, 0, 50, 0, 4, 2], [0, 6, 18, 1, 46, 6, 0, 3], [0, 7, 5, 40, 0, 25, 3, 0], [0, 7, 6, 36, 6, 21, 4, 0], [0, 7, 6, 37, 2, 27, 0, 1], [0, 7, 7, 32, 12, 17, 5, 0], [0, 7, 7, 33, 8, 23, 1, 1], [0, 7, 8, 28, 18, 13, 6, 0], [0, 7, 8, 29, 14, 19, 2, 1], [0, 7, 9, 24, 24, 9, 7, 0], [0, 7, 9, 25, 20, 15, 3, 1], [0, 7, 10, 20, 30, 5, 8, 0], [0, 7, 10, 21, 26, 11, 4, 1], [0, 7, 10, 22, 22, 17, 0, 2], [0, 7, 11, 16, 36, 1, 9, 0], [0, 7, 11, 17, 32, 7, 5, 1], [0, 7, 11, 18, 28, 13, 1, 2], [0, 7, 12, 13, 38, 3, 6, 1], [0, 7, 12, 14, 34, 9, 2, 2], [0, 7, 13, 10, 40, 5, 3, 2], [0, 7, 14, 6, 46, 1, 4, 2], [0, 7, 14, 7, 42, 7, 0, 3], [0, 7, 15, 3, 48, 3, 1, 3], [0, 8, 2, 42, 2, 22, 4, 0], [0, 8, 3, 38, 8, 18, 5, 0], [0, 8, 3, 39, 4, 24, 1, 1], [0, 8, 4, 34, 14, 14, 6, 0], [0, 8, 4, 35, 10, 20, 2, 1], [0, 8, 5, 30, 20, 10, 7, 0], [0, 8, 5, 31, 16, 16, 3, 1], [0, 8, 6, 26, 26, 6, 8, 0], [0, 8, 6, 27, 22, 12, 4, 1], [0, 8, 6, 28, 18, 18, 0, 2], [0, 8, 7, 22, 32, 2, 9, 0], [0, 8, 7, 23, 28, 8, 5, 1], [0, 8, 7, 24, 24, 14, 1, 2], [0, 8, 8, 19, 34, 4, 6, 1], [0, 8, 8, 20, 30, 10, 2, 2], [0, 8, 9, 15, 40, 0, 7, 1], [0, 8, 9, 16, 36, 6, 3, 2], [0, 8, 10, 12, 42, 2, 4, 2], [0, 8, 10, 13, 38, 8, 0, 3], [0, 8, 11, 9, 44, 4, 1, 3], [0, 8, 12, 5, 50, 0, 2, 3], [0, 9, 0, 40, 10, 15, 6, 0], [0, 9, 0, 41, 6, 21, 2, 1], [0, 9, 1, 36, 16, 11, 7, 0], [0, 9, 1, 37, 12, 17, 3, 1], [0, 9, 2, 32, 22, 7, 8, 0], [0, 9, 2, 33, 18, 13, 4, 1], [0, 9, 2, 34, 14, 19, 0, 2], [0, 9, 3, 28, 28, 3, 9, 0], [0, 9, 3, 29, 24, 9, 5, 1], [0, 9, 3, 30, 20, 15, 1, 2], [0, 9, 4, 25, 30, 5, 6, 1], [0, 9, 4, 26, 26, 11, 2, 2], [0, 9, 5, 21, 36, 1, 7, 1], [0, 9, 5, 22, 32, 7, 3, 2], [0, 9, 6, 18, 38, 3, 4, 2], [0, 9, 6, 19, 34, 9, 0, 3], [0, 9, 7, 15, 40, 5, 1, 3], [0, 9, 8, 11, 46, 1, 2, 3], [0, 10, 0, 30, 30, 0, 10, 0], [0, 10, 0, 31, 26, 6, 6, 1], [0, 10, 0, 32, 22, 12, 2, 2], [0, 10, 1, 27, 32, 2, 7, 1], [0, 10, 1, 28, 28, 8, 3, 2], [0, 10, 2, 24, 34, 4, 4, 2], [0, 10, 2, 25, 30, 10, 0, 3], [0, 10, 3, 20, 40, 0, 5, 2], [0, 10, 3, 21, 36, 6, 1, 3], [0, 10, 4, 17, 42, 2, 2, 3], [0, 10, 6, 10, 50, 0, 0, 4], [0, 11, 0, 23, 38, 3, 2, 3], [0, 11, 2, 16, 46, 1, 0, 4]}
(8, 80, 3) has 607 possible DDs: {[0, 0, 14, 24, 4, 24, 14, 0, 0], [0, 0, 14, 25, 0, 30, 10, 1, 0], [0, 0, 15, 20, 10, 20, 15, 0, 0], [0, 0, 15, 21, 6, 26, 11, 1, 0], [0, 0, 15, 22, 2, 32, 7, 2, 0], [0, 0, 16, 16, 16, 16, 16, 0, 0], [0, 0, 16, 17, 12, 22, 12, 1, 0], [0, 0, 16, 18, 8, 28, 8, 2, 0], [0, 0, 16, 19, 4, 34, 4, 3, 0], [0, 0, 16, 20, 0, 40, 0, 4, 0], [0, 0, 16, 20, 1, 36, 6, 0, 1], [0, 0, 17, 12, 22, 12, 17, 0, 0], [0, 0, 17, 13, 18, 18, 13, 1, 0], [0, 0, 17, 14, 14, 24, 9, 2, 0], [0, 0, 17, 15, 10, 30, 5, 3, 0], [0, 0, 17, 16, 6, 36, 1, 4, 0], [0, 0, 17, 16, 7, 32, 7, 0, 1], [0, 0, 17, 17, 3, 38, 3, 1, 1], [0, 0, 18, 8, 28, 8, 18, 0, 0], [0, 0, 18, 9, 24, 14, 14, 1, 0], [0, 0, 18, 10, 20, 20, 10, 2, 0], [0, 0, 18, 11, 16, 26, 6, 3, 0], [0, 0, 18, 12, 12, 32, 2, 4, 0], [0, 0, 18, 12, 13, 28, 8, 0, 1], [0, 0, 18, 13, 9, 34, 4, 1, 1], [0, 0, 18, 14, 5, 40, 0, 2, 1], [0, 0, 19, 4, 34, 4, 19, 0, 0], [0, 0, 19, 5, 30, 10, 15, 1, 0], [0, 0, 19, 6, 26, 16, 11, 2, 0], [0, 0, 19, 7, 22, 22, 7, 3, 0], [0, 0, 19, 8, 18, 28, 3, 4, 0], [0, 0, 19, 8, 19, 24, 9, 0, 1], [0, 0, 19, 9, 15, 30, 5, 1, 1], [0, 0, 19, 10, 11, 36, 1, 2, 1], [0, 0, 20, 0, 40, 0, 20, 0, 0], [0, 0, 20, 1, 36, 6, 16, 1, 0], [0, 0, 20, 2, 32, 12, 12, 2, 0], [0, 0, 20, 3, 28, 18, 8, 3, 0], [0, 0, 20, 4, 24, 24, 4, 4, 0], [0, 0, 20, 4, 25, 20, 10, 0, 1], [0, 0, 20, 5, 20, 30, 0, 5, 0], [0, 0, 20, 5, 21, 26, 6, 1, 1], [0, 0, 20, 6, 17, 32, 2, 2, 1], [0, 0, 20, 8, 10, 40, 0, 0, 2], [0, 0, 21, 0, 30, 20, 5, 4, 0], [0, 0, 21, 0, 31, 16, 11, 0, 1], [0, 0, 21, 1, 26, 26, 1, 5, 0], [0, 0, 21, 1, 27, 22, 7, 1, 1], [0, 0, 21, 2, 23, 28, 3, 2, 1], [0, 0, 21, 4, 16, 36, 1, 0, 2], [0, 0, 22, 0, 22, 32, 2, 0, 2], [0, 1, 10, 30, 0, 25, 14, 0, 0], [0, 1, 11, 26, 6, 21, 15, 0, 0], [0, 1, 11, 27, 2, 27, 11, 1, 0], [0, 1, 12, 22, 12, 17, 16, 0, 0], [0, 1, 12, 23, 8, 23, 12, 1, 0], [0, 1, 12, 24, 4, 29, 8, 2, 0], [0, 1, 12, 25, 0, 35, 4, 3, 0], [0, 1, 13, 18, 18, 13, 17, 0, 0], [0, 1, 13, 19, 14, 19, 13, 1, 0], [0, 1, 13, 20, 10, 25, 9, 2, 0], [0, 1, 13, 21, 6, 31, 5, 3, 0], [0, 1, 13, 22, 2, 37, 1, 4, 0], [0, 1, 13, 22, 3, 33, 7, 0, 1], [0, 1, 14, 14, 24, 9, 18, 0, 0], [0, 1, 14, 15, 20, 15, 14, 1, 0], [0, 1, 14, 16, 16, 21, 10, 2, 0], [0, 1, 14, 17, 12, 27, 6, 3, 0], [0, 1, 14, 18, 8, 33, 2, 4, 0], [0, 1, 14, 18, 9, 29, 8, 0, 1], [0, 1, 14, 19, 5, 35, 4, 1, 1], [0, 1, 14, 20, 1, 41, 0, 2, 1], [0, 1, 15, 10, 30, 5, 19, 0, 0], [0, 1, 15, 11, 26, 11, 15, 1, 0], [0, 1, 15, 12, 22, 17, 11, 2, 0], [0, 1, 15, 13, 18, 23, 7, 3, 0], [0, 1, 15, 14, 14, 29, 3, 4, 0], [0, 1, 15, 14, 15, 25, 9, 0, 1], [0, 1, 15, 15, 11, 31, 5, 1, 1], [0, 1, 15, 16, 7, 37, 1, 2, 1], [0, 1, 16, 6, 36, 1, 20, 0, 0], [0, 1, 16, 7, 32, 7, 16, 1, 0], [0, 1, 16, 8, 28, 13, 12, 2, 0], [0, 1, 16, 9, 24, 19, 8, 3, 0], [0, 1, 16, 10, 20, 25, 4, 4, 0], [0, 1, 16, 10, 21, 21, 10, 0, 1], [0, 1, 16, 11, 16, 31, 0, 5, 0], [0, 1, 16, 11, 17, 27, 6, 1, 1], [0, 1, 16, 12, 13, 33, 2, 2, 1], [0, 1, 16, 14, 6, 41, 0, 0, 2], [0, 1, 17, 3, 38, 3, 17, 1, 0], [0, 1, 17, 4, 34, 9, 13, 2, 0], [0, 1, 17, 5, 30, 15, 9, 3, 0], [0, 1, 17, 6, 26, 21, 5, 4, 0], [0, 1, 17, 6, 27, 17, 11, 0, 1], [0, 1, 17, 7, 22, 27, 1, 5, 0], [0, 1, 17, 7, 23, 23, 7, 1, 1], [0, 1, 17, 8, 19, 29, 3, 2, 1], [0, 1, 17, 10, 12, 37, 1, 0, 2], [0, 1, 18, 0, 40, 5, 14, 2, 0], [0, 1, 18, 1, 36, 11, 10, 3, 0], [0, 1, 18, 2, 32, 17, 6, 4, 0], [0, 1, 18, 2, 33, 13, 12, 0, 1], [0, 1, 18, 3, 28, 23, 2, 5, 0], [0, 1, 18, 3, 29, 19, 8, 1, 1], [0, 1, 18, 4, 25, 25, 4, 2, 1], [0, 1, 18, 5, 21, 31, 0, 3, 1], [0, 1, 18, 6, 18, 33, 2, 0, 2], [0, 1, 19, 0, 31, 21, 5, 2, 1], [0, 1, 19, 1, 27, 27, 1, 3, 1], [0, 1, 19, 2, 24, 29, 3, 0, 2], [0, 2, 7, 32, 2, 22, 15, 0, 0], [0, 2, 8, 28, 8, 18, 16, 0, 0], [0, 2, 8, 29, 4, 24, 12, 1, 0], [0, 2, 8, 30, 0, 30, 8, 2, 0], [0, 2, 9, 24, 14, 14, 17, 0, 0], [0, 2, 9, 25, 10, 20, 13, 1, 0], [0, 2, 9, 26, 6, 26, 9, 2, 0], [0, 2, 9, 27, 2, 32, 5, 3, 0], [0, 2, 10, 20, 20, 10, 18, 0, 0], [0, 2, 10, 21, 16, 16, 14, 1, 0], [0, 2, 10, 22, 12, 22, 10, 2, 0], [0, 2, 10, 23, 8, 28, 6, 3, 0], [0, 2, 10, 24, 4, 34, 2, 4, 0], [0, 2, 10, 24, 5, 30, 8, 0, 1], [0, 2, 10, 25, 1, 36, 4, 1, 1], [0, 2, 11, 16, 26, 6, 19, 0, 0], [0, 2, 11, 17, 22, 12, 15, 1, 0], [0, 2, 11, 18, 18, 18, 11, 2, 0], [0, 2, 11, 19, 14, 24, 7, 3, 0], [0, 2, 11, 20, 10, 30, 3, 4, 0], [0, 2, 11, 20, 11, 26, 9, 0, 1], [0, 2, 11, 21, 7, 32, 5, 1, 1], [0, 2, 11, 22, 3, 38, 1, 2, 1], [0, 2, 12, 12, 32, 2, 20, 0, 0], [0, 2, 12, 13, 28, 8, 16, 1, 0], [0, 2, 12, 14, 24, 14, 12, 2, 0], [0, 2, 12, 15, 20, 20, 8, 3, 0], [0, 2, 12, 16, 16, 26, 4, 4, 0], [0, 2, 12, 16, 17, 22, 10, 0, 1], [0, 2, 12, 17, 12, 32, 0, 5, 0], [0, 2, 12, 17, 13, 28, 6, 1, 1], [0, 2, 12, 18, 9, 34, 2, 2, 1], [0, 2, 12, 20, 2, 42, 0, 0, 2], [0, 2, 13, 9, 34, 4, 17, 1, 0], [0, 2, 13, 10, 30, 10, 13, 2, 0], [0, 2, 13, 11, 26, 16, 9, 3, 0], [0, 2, 13, 12, 22, 22, 5, 4, 0], [0, 2, 13, 12, 23, 18, 11, 0, 1], [0, 2, 13, 13, 18, 28, 1, 5, 0], [0, 2, 13, 13, 19, 24, 7, 1, 1], [0, 2, 13, 14, 15, 30, 3, 2, 1], [0, 2, 13, 16, 8, 38, 1, 0, 2], [0, 2, 14, 5, 40, 0, 18, 1, 0], [0, 2, 14, 6, 36, 6, 14, 2, 0], [0, 2, 14, 7, 32, 12, 10, 3, 0], [0, 2, 14, 8, 28, 18, 6, 4, 0], [0, 2, 14, 8, 29, 14, 12, 0, 1], [0, 2, 14, 9, 24, 24, 2, 5, 0], [0, 2, 14, 9, 25, 20, 8, 1, 1], [0, 2, 14, 10, 21, 26, 4, 2, 1], [0, 2, 14, 11, 17, 32, 0, 3, 1], [0, 2, 14, 12, 14, 34, 2, 0, 2], [0, 2, 15, 2, 42, 2, 15, 2, 0], [0, 2, 15, 3, 38, 8, 11, 3, 0], [0, 2, 15, 4, 34, 14, 7, 4, 0], [0, 2, 15, 4, 35, 10, 13, 0, 1], [0, 2, 15, 5, 30, 20, 3, 5, 0], [0, 2, 15, 5, 31, 16, 9, 1, 1], [0, 2, 15, 6, 27, 22, 5, 2, 1], [0, 2, 15, 7, 23, 28, 1, 3, 1], [0, 2, 15, 8, 20, 30, 3, 0, 2], [0, 2, 16, 0, 40, 10, 8, 4, 0], [0, 2, 16, 0, 41, 6, 14, 0, 1], [0, 2, 16, 1, 36, 16, 4, 5, 0], [0, 2, 16, 1, 37, 12, 10, 1, 1], [0, 2, 16, 2, 32, 22, 0, 6, 0], [0, 2, 16, 2, 33, 18, 6, 2, 1], [0, 2, 16, 3, 29, 24, 2, 3, 1], [0, 2, 16, 4, 26, 26, 4, 0, 2], [0, 2, 16, 5, 22, 32, 0, 1, 2], [0, 2, 17, 0, 32, 22, 5, 0, 2], [0, 2, 17, 1, 28, 28, 1, 1, 2], [0, 3, 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