------- (9, 240, 4) ALL distance distributions for EXTERNAL point (4, 240, 4) has 0 possible DDs: {} (5, 240, 4) has 1 possible DDs: {[0, 75, 0, 150, 0, 15]} (6, 240, 4) has 10 possible DDs: {[0, 36, 45, 60, 90, 0, 9], [0, 37, 40, 70, 80, 5, 8], [0, 38, 35, 80, 70, 10, 7], [0, 39, 30, 90, 60, 15, 6], [0, 40, 25, 100, 50, 20, 5], [0, 41, 20, 110, 40, 25, 4], [0, 42, 15, 120, 30, 30, 3], [0, 43, 10, 130, 20, 35, 2], [0, 44, 5, 140, 10, 40, 1], [0, 45, 0, 150, 0, 45, 0]} (7, 240, 4) has 72 possible DDs: {[0, 12, 69, 0, 120, 30, 3, 6], [0, 13, 64, 10, 110, 35, 2, 6], [0, 13, 65, 5, 120, 25, 7, 5], [0, 13, 66, 0, 130, 15, 12, 4], [0, 14, 59, 20, 100, 40, 1, 6], [0, 14, 60, 15, 110, 30, 6, 5], [0, 14, 61, 10, 120, 20, 11, 4], [0, 14, 62, 5, 130, 10, 16, 3], [0, 14, 63, 0, 140, 0, 21, 2], [0, 15, 54, 30, 90, 45, 0, 6], [0, 15, 55, 25, 100, 35, 5, 5], [0, 15, 56, 20, 110, 25, 10, 4], [0, 15, 57, 15, 120, 15, 15, 3], [0, 15, 58, 10, 130, 5, 20, 2], [0, 16, 50, 35, 90, 40, 4, 5], [0, 16, 51, 30, 100, 30, 9, 4], [0, 16, 52, 25, 110, 20, 14, 3], [0, 16, 53, 20, 120, 10, 19, 2], [0, 16, 54, 15, 130, 0, 24, 1], [0, 17, 45, 45, 80, 45, 3, 5], [0, 17, 46, 40, 90, 35, 8, 4], [0, 17, 47, 35, 100, 25, 13, 3], [0, 17, 48, 30, 110, 15, 18, 2], [0, 17, 49, 25, 120, 5, 23, 1], [0, 18, 40, 55, 70, 50, 2, 5], [0, 18, 41, 50, 80, 40, 7, 4], [0, 18, 42, 45, 90, 30, 12, 3], [0, 18, 43, 40, 100, 20, 17, 2], [0, 18, 44, 35, 110, 10, 22, 1], [0, 18, 45, 30, 120, 0, 27, 0], [0, 19, 35, 65, 60, 55, 1, 5], [0, 19, 36, 60, 70, 45, 6, 4], [0, 19, 37, 55, 80, 35, 11, 3], [0, 19, 38, 50, 90, 25, 16, 2], [0, 19, 39, 45, 100, 15, 21, 1], [0, 19, 40, 40, 110, 5, 26, 0], [0, 20, 30, 75, 50, 60, 0, 5], [0, 20, 31, 70, 60, 50, 5, 4], [0, 20, 32, 65, 70, 40, 10, 3], [0, 20, 33, 60, 80, 30, 15, 2], [0, 20, 34, 55, 90, 20, 20, 1], [0, 20, 35, 50, 100, 10, 25, 0], [0, 21, 26, 80, 50, 55, 4, 4], [0, 21, 27, 75, 60, 45, 9, 3], [0, 21, 28, 70, 70, 35, 14, 2], [0, 21, 29, 65, 80, 25, 19, 1], [0, 21, 30, 60, 90, 15, 24, 0], [0, 22, 21, 90, 40, 60, 3, 4], [0, 22, 22, 85, 50, 50, 8, 3], [0, 22, 23, 80, 60, 40, 13, 2], [0, 22, 24, 75, 70, 30, 18, 1], [0, 22, 25, 70, 80, 20, 23, 0], [0, 23, 16, 100, 30, 65, 2, 4], [0, 23, 17, 95, 40, 55, 7, 3], [0, 23, 18, 90, 50, 45, 12, 2], [0, 23, 19, 85, 60, 35, 17, 1], [0, 23, 20, 80, 70, 25, 22, 0], [0, 24, 11, 110, 20, 70, 1, 4], [0, 24, 12, 105, 30, 60, 6, 3], [0, 24, 13, 100, 40, 50, 11, 2], [0, 24, 14, 95, 50, 40, 16, 1], [0, 24, 15, 90, 60, 30, 21, 0], [0, 25, 6, 120, 10, 75, 0, 4], [0, 25, 7, 115, 20, 65, 5, 3], [0, 25, 8, 110, 30, 55, 10, 2], [0, 25, 9, 105, 40, 45, 15, 1], [0, 25, 10, 100, 50, 35, 20, 0], [0, 26, 2, 125, 10, 70, 4, 3], [0, 26, 3, 120, 20, 60, 9, 2], [0, 26, 4, 115, 30, 50, 14, 1], [0, 26, 5, 110, 40, 40, 19, 0], [0, 27, 0, 120, 30, 45, 18, 0]} (8, 240, 4) has 490 possible DDs: {[0, 0, 60, 24, 30, 120, 0, 0, 6], [0, 0, 62, 15, 45, 110, 0, 3, 5], [0, 0, 63, 10, 55, 100, 5, 2, 5], [0, 0, 64, 5, 65, 90, 10, 1, 5], [0, 0, 64, 6, 60, 100, 0, 6, 4], [0, 0, 65, 0, 75, 80, 15, 0, 5], [0, 0, 65, 1, 70, 90, 5, 5, 4], [0, 1, 58, 20, 45, 105, 4, 2, 5], [0, 1, 59, 15, 55, 95, 9, 1, 5], [0, 1, 60, 10, 65, 85, 14, 0, 5], [0, 1, 60, 11, 60, 95, 4, 5, 4], [0, 1, 61, 6, 70, 85, 9, 4, 4], [0, 1, 62, 1, 80, 75, 14, 3, 4], [0, 1, 62, 2, 75, 85, 4, 8, 3], [0, 2, 53, 30, 35, 110, 3, 2, 5], [0, 2, 54, 25, 45, 100, 8, 1, 5], [0, 2, 55, 20, 55, 90, 13, 0, 5], [0, 2, 55, 21, 50, 100, 3, 5, 4], [0, 2, 56, 16, 60, 90, 8, 4, 4], [0, 2, 57, 11, 70, 80, 13, 3, 4], [0, 2, 57, 12, 65, 90, 3, 8, 3], [0, 2, 58, 6, 80, 70, 18, 2, 4], [0, 2, 58, 7, 75, 80, 8, 7, 3], [0, 2, 59, 1, 90, 60, 23, 1, 4], [0, 2, 59, 2, 85, 70, 13, 6, 3], [0, 2, 59, 3, 80, 80, 3, 11, 2], [0, 3, 48, 40, 25, 115, 2, 2, 5], [0, 3, 49, 35, 35, 105, 7, 1, 5], [0, 3, 50, 30, 45, 95, 12, 0, 5], [0, 3, 50, 31, 40, 105, 2, 5, 4], [0, 3, 51, 26, 50, 95, 7, 4, 4], [0, 3, 52, 21, 60, 85, 12, 3, 4], [0, 3, 52, 22, 55, 95, 2, 8, 3], [0, 3, 53, 16, 70, 75, 17, 2, 4], [0, 3, 53, 17, 65, 85, 7, 7, 3], [0, 3, 54, 11, 80, 65, 22, 1, 4], [0, 3, 54, 12, 75, 75, 12, 6, 3], [0, 3, 54, 13, 70, 85, 2, 11, 2], [0, 3, 55, 6, 90, 55, 27, 0, 4], [0, 3, 55, 7, 85, 65, 17, 5, 3], [0, 3, 55, 8, 80, 75, 7, 10, 2], [0, 3, 56, 2, 95, 55, 22, 4, 3], [0, 3, 56, 3, 90, 65, 12, 9, 2], [0, 3, 56, 4, 85, 75, 2, 14, 1], [0, 4, 43, 50, 15, 120, 1, 2, 5], [0, 4, 44, 45, 25, 110, 6, 1, 5], [0, 4, 45, 40, 35, 100, 11, 0, 5], [0, 4, 45, 41, 30, 110, 1, 5, 4], [0, 4, 46, 36, 40, 100, 6, 4, 4], [0, 4, 47, 31, 50, 90, 11, 3, 4], [0, 4, 47, 32, 45, 100, 1, 8, 3], [0, 4, 48, 26, 60, 80, 16, 2, 4], [0, 4, 48, 27, 55, 90, 6, 7, 3], [0, 4, 49, 21, 70, 70, 21, 1, 4], [0, 4, 49, 22, 65, 80, 11, 6, 3], [0, 4, 49, 23, 60, 90, 1, 11, 2], [0, 4, 50, 16, 80, 60, 26, 0, 4], [0, 4, 50, 17, 75, 70, 16, 5, 3], [0, 4, 50, 18, 70, 80, 6, 10, 2], [0, 4, 51, 12, 85, 60, 21, 4, 3], [0, 4, 51, 13, 80, 70, 11, 9, 2], [0, 4, 51, 14, 75, 80, 1, 14, 1], [0, 4, 52, 7, 95, 50, 26, 3, 3], [0, 4, 52, 8, 90, 60, 16, 8, 2], [0, 4, 52, 9, 85, 70, 6, 13, 1], [0, 4, 53, 2, 105, 40, 31, 2, 3], [0, 4, 53, 3, 100, 50, 21, 7, 2], [0, 4, 53, 4, 95, 60, 11, 12, 1], [0, 4, 53, 5, 90, 70, 1, 17, 0], [0, 4, 54, 0, 100, 60, 6, 16, 0], [0, 5, 38, 60, 5, 125, 0, 2, 5], [0, 5, 39, 55, 15, 115, 5, 1, 5], [0, 5, 40, 50, 25, 105, 10, 0, 5], [0, 5, 40, 51, 20, 115, 0, 5, 4], [0, 5, 41, 46, 30, 105, 5, 4, 4], [0, 5, 42, 41, 40, 95, 10, 3, 4], [0, 5, 42, 42, 35, 105, 0, 8, 3], [0, 5, 43, 36, 50, 85, 15, 2, 4], [0, 5, 43, 37, 45, 95, 5, 7, 3], [0, 5, 44, 31, 60, 75, 20, 1, 4], [0, 5, 44, 32, 55, 85, 10, 6, 3], [0, 5, 44, 33, 50, 95, 0, 11, 2], [0, 5, 45, 26, 70, 65, 25, 0, 4], [0, 5, 45, 27, 65, 75, 15, 5, 3], [0, 5, 45, 28, 60, 85, 5, 10, 2], [0, 5, 46, 22, 75, 65, 20, 4, 3], [0, 5, 46, 23, 70, 75, 10, 9, 2], [0, 5, 46, 24, 65, 85, 0, 14, 1], [0, 5, 47, 17, 85, 55, 25, 3, 3], [0, 5, 47, 18, 80, 65, 15, 8, 2], [0, 5, 47, 19, 75, 75, 5, 13, 1], [0, 5, 48, 12, 95, 45, 30, 2, 3], [0, 5, 48, 13, 90, 55, 20, 7, 2], [0, 5, 48, 14, 85, 65, 10, 12, 1], [0, 5, 48, 15, 80, 75, 0, 17, 0], [0, 5, 49, 7, 105, 35, 35, 1, 3], [0, 5, 49, 8, 100, 45, 25, 6, 2], [0, 5, 49, 9, 95, 55, 15, 11, 1], [0, 5, 49, 10, 90, 65, 5, 16, 0], [0, 5, 50, 2, 115, 25, 40, 0, 3], [0, 5, 50, 3, 110, 35, 30, 5, 2], [0, 5, 50, 4, 105, 45, 20, 10, 1], [0, 5, 50, 5, 100, 55, 10, 15, 0], [0, 5, 51, 0, 110, 45, 15, 14, 0], [0, 6, 34, 65, 5, 120, 4, 1, 5], [0, 6, 35, 60, 15, 110, 9, 0, 5], [0, 6, 36, 56, 20, 110, 4, 4, 4], [0, 6, 37, 51, 30, 100, 9, 3, 4], [0, 6, 38, 46, 40, 90, 14, 2, 4], [0, 6, 38, 47, 35, 100, 4, 7, 3], [0, 6, 39, 41, 50, 80, 19, 1, 4], [0, 6, 39, 42, 45, 90, 9, 6, 3], [0, 6, 40, 36, 60, 70, 24, 0, 4], [0, 6, 40, 37, 55, 80, 14, 5, 3], [0, 6, 40, 38, 50, 90, 4, 10, 2], [0, 6, 41, 32, 65, 70, 19, 4, 3], [0, 6, 41, 33, 60, 80, 9, 9, 2], [0, 6, 42, 27, 75, 60, 24, 3, 3], [0, 6, 42, 28, 70, 70, 14, 8, 2], [0, 6, 42, 29, 65, 80, 4, 13, 1], [0, 6, 43, 22, 85, 50, 29, 2, 3], [0, 6, 43, 23, 80, 60, 19, 7, 2], [0, 6, 43, 24, 75, 70, 9, 12, 1], [0, 6, 44, 17, 95, 40, 34, 1, 3], [0, 6, 44, 18, 90, 50, 24, 6, 2], [0, 6, 44, 19, 85, 60, 14, 11, 1], [0, 6, 44, 20, 80, 70, 4, 16, 0], [0, 6, 45, 12, 105, 30, 39, 0, 3], [0, 6, 45, 13, 100, 40, 29, 5, 2], [0, 6, 45, 14, 95, 50, 19, 10, 1], [0, 6, 45, 15, 90, 60, 9, 15, 0], [0, 6, 46, 8, 110, 30, 34, 4, 2], [0, 6, 46, 9, 105, 40, 24, 9, 1], [0, 6, 46, 10, 100, 50, 14, 14, 0], [0, 6, 47, 3, 120, 20, 39, 3, 2], [0, 6, 47, 4, 115, 30, 29, 8, 1], [0, 6, 47, 5, 110, 40, 19, 13, 0], [0, 6, 48, 0, 120, 30, 24, 12, 0], [0, 7, 30, 70, 5, 115, 8, 0, 5], [0, 7, 31, 66, 10, 115, 3, 4, 4], [0, 7, 32, 61, 20, 105, 8, 3, 4], [0, 7, 33, 56, 30, 95, 13, 2, 4], [0, 7, 33, 57, 25, 105, 3, 7, 3], [0, 7, 34, 51, 40, 85, 18, 1, 4], [0, 7, 34, 52, 35, 95, 8, 6, 3], [0, 7, 35, 46, 50, 75, 23, 0, 4], [0, 7, 35, 47, 45, 85, 13, 5, 3], [0, 7, 35, 48, 40, 95, 3, 10, 2], [0, 7, 36, 42, 55, 75, 18, 4, 3], [0, 7, 36, 43, 50, 85, 8, 9, 2], [0, 7, 37, 37, 65, 65, 23, 3, 3], [0, 7, 37, 38, 60, 75, 13, 8, 2], [0, 7, 37, 39, 55, 85, 3, 13, 1], [0, 7, 38, 32, 75, 55, 28, 2, 3], [0, 7, 38, 33, 70, 65, 18, 7, 2], [0, 7, 38, 34, 65, 75, 8, 12, 1], [0, 7, 39, 27, 85, 45, 33, 1, 3], [0, 7, 39, 28, 80, 55, 23, 6, 2], [0, 7, 39, 29, 75, 65, 13, 11, 1], [0, 7, 39, 30, 70, 75, 3, 16, 0], [0, 7, 40, 22, 95, 35, 38, 0, 3], [0, 7, 40, 23, 90, 45, 28, 5, 2], [0, 7, 40, 24, 85, 55, 18, 10, 1], [0, 7, 40, 25, 80, 65, 8, 15, 0], [0, 7, 41, 18, 100, 35, 33, 4, 2], [0, 7, 41, 19, 95, 45, 23, 9, 1], [0, 7, 41, 20, 90, 55, 13, 14, 0], [0, 7, 42, 13, 110, 25, 38, 3, 2], [0, 7, 42, 14, 105, 35, 28, 8, 1], [0, 7, 42, 15, 100, 45, 18, 13, 0], [0, 7, 43, 8, 120, 15, 43, 2, 2], [0, 7, 43, 9, 115, 25, 33, 7, 1], [0, 7, 43, 10, 110, 35, 23, 12, 0], [0, 7, 44, 3, 130, 5, 48, 1, 2], [0, 7, 44, 4, 125, 15, 38, 6, 1], [0, 7, 44, 5, 120, 25, 28, 11, 0], [0, 7, 45, 0, 130, 15, 33, 10, 0], [0, 8, 26, 76, 0, 120, 2, 4, 4], [0, 8, 27, 71, 10, 110, 7, 3, 4], [0, 8, 28, 66, 20, 100, 12, 2, 4], [0, 8, 28, 67, 15, 110, 2, 7, 3], [0, 8, 29, 61, 30, 90, 17, 1, 4], [0, 8, 29, 62, 25, 100, 7, 6, 3], [0, 8, 30, 56, 40, 80, 22, 0, 4], [0, 8, 30, 57, 35, 90, 12, 5, 3], [0, 8, 30, 58, 30, 100, 2, 10, 2], [0, 8, 31, 52, 45, 80, 17, 4, 3], [0, 8, 31, 53, 40, 90, 7, 9, 2], [0, 8, 32, 47, 55, 70, 22, 3, 3], [0, 8, 32, 48, 50, 80, 12, 8, 2], [0, 8, 32, 49, 45, 90, 2, 13, 1], [0, 8, 33, 42, 65, 60, 27, 2, 3], [0, 8, 33, 43, 60, 70, 17, 7, 2], [0, 8, 33, 44, 55, 80, 7, 12, 1], [0, 8, 34, 37, 75, 50, 32, 1, 3], [0, 8, 34, 38, 70, 60, 22, 6, 2], [0, 8, 34, 39, 65, 70, 12, 11, 1], [0, 8, 34, 40, 60, 80, 2, 16, 0], [0, 8, 35, 32, 85, 40, 37, 0, 3], [0, 8, 35, 33, 80, 50, 27, 5, 2], [0, 8, 35, 34, 75, 60, 17, 10, 1], [0, 8, 35, 35, 70, 70, 7, 15, 0], [0, 8, 36, 28, 90, 40, 32, 4, 2], [0, 8, 36, 29, 85, 50, 22, 9, 1], [0, 8, 36, 30, 80, 60, 12, 14, 0], [0, 8, 37, 23, 100, 30, 37, 3, 2], [0, 8, 37, 24, 95, 40, 27, 8, 1], [0, 8, 37, 25, 90, 50, 17, 13, 0], [0, 8, 38, 18, 110, 20, 42, 2, 2], [0, 8, 38, 19, 105, 30, 32, 7, 1], [0, 8, 38, 20, 100, 40, 22, 12, 0], [0, 8, 39, 13, 120, 10, 47, 1, 2], [0, 8, 39, 14, 115, 20, 37, 6, 1], [0, 8, 39, 15, 110, 30, 27, 11, 0], [0, 8, 40, 8, 130, 0, 52, 0, 2], [0, 8, 40, 9, 125, 10, 42, 5, 1], [0, 8, 40, 10, 120, 20, 32, 10, 0], [0, 8, 41, 4, 135, 0, 47, 4, 1], [0, 8, 41, 5, 130, 10, 37, 9, 0], [0, 8, 42, 0, 140, 0, 42, 8, 0], [0, 9, 22, 81, 0, 115, 6, 3, 4], [0, 9, 23, 76, 10, 105, 11, 2, 4], [0, 9, 23, 77, 5, 115, 1, 7, 3], [0, 9, 24, 71, 20, 95, 16, 1, 4], [0, 9, 24, 72, 15, 105, 6, 6, 3], [0, 9, 25, 66, 30, 85, 21, 0, 4], [0, 9, 25, 67, 25, 95, 11, 5, 3], [0, 9, 25, 68, 20, 105, 1, 10, 2], [0, 9, 26, 62, 35, 85, 16, 4, 3], [0, 9, 26, 63, 30, 95, 6, 9, 2], [0, 9, 27, 57, 45, 75, 21, 3, 3], [0, 9, 27, 58, 40, 85, 11, 8, 2], [0, 9, 27, 59, 35, 95, 1, 13, 1], [0, 9, 28, 52, 55, 65, 26, 2, 3], [0, 9, 28, 53, 50, 75, 16, 7, 2], [0, 9, 28, 54, 45, 85, 6, 12, 1], [0, 9, 29, 47, 65, 55, 31, 1, 3], [0, 9, 29, 48, 60, 65, 21, 6, 2], [0, 9, 29, 49, 55, 75, 11, 11, 1], [0, 9, 29, 50, 50, 85, 1, 16, 0], [0, 9, 30, 42, 75, 45, 36, 0, 3], [0, 9, 30, 43, 70, 55, 26, 5, 2], [0, 9, 30, 44, 65, 65, 16, 10, 1], [0, 9, 30, 45, 60, 75, 6, 15, 0], [0, 9, 31, 38, 80, 45, 31, 4, 2], [0, 9, 31, 39, 75, 55, 21, 9, 1], [0, 9, 31, 40, 70, 65, 11, 14, 0], [0, 9, 32, 33, 90, 35, 36, 3, 2], [0, 9, 32, 34, 85, 45, 26, 8, 1], [0, 9, 32, 35, 80, 55, 16, 13, 0], [0, 9, 33, 28, 100, 25, 41, 2, 2], [0, 9, 33, 29, 95, 35, 31, 7, 1], [0, 9, 33, 30, 90, 45, 21, 12, 0], [0, 9, 34, 23, 110, 15, 46, 1, 2], [0, 9, 34, 24, 105, 25, 36, 6, 1], [0, 9, 34, 25, 100, 35, 26, 11, 0], [0, 9, 35, 18, 120, 5, 51, 0, 2], [0, 9, 35, 19, 115, 15, 41, 5, 1], [0, 9, 35, 20, 110, 25, 31, 10, 0], [0, 9, 36, 14, 125, 5, 46, 4, 1], [0, 9, 36, 15, 120, 15, 36, 9, 0], [0, 9, 37, 10, 130, 5, 41, 8, 0], [0, 10, 18, 86, 0, 110, 10, 2, 4], [0, 10, 19, 81, 10, 100, 15, 1, 4], [0, 10, 19, 82, 5, 110, 5, 6, 3], [0, 10, 20, 76, 20, 90, 20, 0, 4], [0, 10, 20, 77, 15, 100, 10, 5, 3], [0, 10, 20, 78, 10, 110, 0, 10, 2], [0, 10, 21, 72, 25, 90, 15, 4, 3], [0, 10, 21, 73, 20, 100, 5, 9, 2], [0, 10, 22, 67, 35, 80, 20, 3, 3], [0, 10, 22, 68, 30, 90, 10, 8, 2], [0, 10, 22, 69, 25, 100, 0, 13, 1], [0, 10, 23, 62, 45, 70, 25, 2, 3], [0, 10, 23, 63, 40, 80, 15, 7, 2], [0, 10, 23, 64, 35, 90, 5, 12, 1], [0, 10, 24, 57, 55, 60, 30, 1, 3], [0, 10, 24, 58, 50, 70, 20, 6, 2], [0, 10, 24, 59, 45, 80, 10, 11, 1], [0, 10, 24, 60, 40, 90, 0, 16, 0], [0, 10, 25, 52, 65, 50, 35, 0, 3], [0, 10, 25, 53, 60, 60, 25, 5, 2], [0, 10, 25, 54, 55, 70, 15, 10, 1], [0, 10, 25, 55, 50, 80, 5, 15, 0], [0, 10, 26, 48, 70, 50, 30, 4, 2], [0, 10, 26, 49, 65, 60, 20, 9, 1], [0, 10, 26, 50, 60, 70, 10, 14, 0], [0, 10, 27, 43, 80, 40, 35, 3, 2], [0, 10, 27, 44, 75, 50, 25, 8, 1], [0, 10, 27, 45, 70, 60, 15, 13, 0], [0, 10, 28, 38, 90, 30, 40, 2, 2], [0, 10, 28, 39, 85, 40, 30, 7, 1], [0, 10, 28, 40, 80, 50, 20, 12, 0], [0, 10, 29, 33, 100, 20, 45, 1, 2], [0, 10, 29, 34, 95, 30, 35, 6, 1], [0, 10, 29, 35, 90, 40, 25, 11, 0], [0, 10, 30, 28, 110, 10, 50, 0, 2], [0, 10, 30, 29, 105, 20, 40, 5, 1], [0, 10, 30, 30, 100, 30, 30, 10, 0], [0, 10, 31, 24, 115, 10, 45, 4, 1], [0, 10, 31, 25, 110, 20, 35, 9, 0], [0, 10, 32, 19, 125, 0, 50, 3, 1], [0, 10, 32, 20, 120, 10, 40, 8, 0], [0, 10, 33, 15, 130, 0, 45, 7, 0], [0, 11, 14, 91, 0, 105, 14, 1, 4], [0, 11, 15, 86, 10, 95, 19, 0, 4], [0, 11, 15, 87, 5, 105, 9, 5, 3], [0, 11, 16, 82, 15, 95, 14, 4, 3], [0, 11, 16, 83, 10, 105, 4, 9, 2], [0, 11, 17, 77, 25, 85, 19, 3, 3], [0, 11, 17, 78, 20, 95, 9, 8, 2], [0, 11, 18, 72, 35, 75, 24, 2, 3], [0, 11, 18, 73, 30, 85, 14, 7, 2], [0, 11, 18, 74, 25, 95, 4, 12, 1], [0, 11, 19, 67, 45, 65, 29, 1, 3], [0, 11, 19, 68, 40, 75, 19, 6, 2], [0, 11, 19, 69, 35, 85, 9, 11, 1], [0, 11, 20, 62, 55, 55, 34, 0, 3], [0, 11, 20, 63, 50, 65, 24, 5, 2], [0, 11, 20, 64, 45, 75, 14, 10, 1], [0, 11, 20, 65, 40, 85, 4, 15, 0], [0, 11, 21, 58, 60, 55, 29, 4, 2], [0, 11, 21, 59, 55, 65, 19, 9, 1], [0, 11, 21, 60, 50, 75, 9, 14, 0], [0, 11, 22, 53, 70, 45, 34, 3, 2], [0, 11, 22, 54, 65, 55, 24, 8, 1], [0, 11, 22, 55, 60, 65, 14, 13, 0], [0, 11, 23, 48, 80, 35, 39, 2, 2], [0, 11, 23, 49, 75, 45, 29, 7, 1], [0, 11, 23, 50, 70, 55, 19, 12, 0], [0, 11, 24, 43, 90, 25, 44, 1, 2], [0, 11, 24, 44, 85, 35, 34, 6, 1], [0, 11, 24, 45, 80, 45, 24, 11, 0], [0, 11, 25, 38, 100, 15, 49, 0, 2], [0, 11, 25, 39, 95, 25, 39, 5, 1], [0, 11, 25, 40, 90, 35, 29, 10, 0], [0, 11, 26, 34, 105, 15, 44, 4, 1], [0, 11, 26, 35, 100, 25, 34, 9, 0], [0, 11, 27, 29, 115, 5, 49, 3, 1], [0, 11, 27, 30, 110, 15, 39, 8, 0], [0, 11, 28, 25, 120, 5, 44, 7, 0], [0, 12, 10, 96, 0, 100, 18, 0, 4], [0, 12, 11, 92, 5, 100, 13, 4, 3], [0, 12, 11, 93, 0, 110, 3, 9, 2], [0, 12, 12, 87, 15, 90, 18, 3, 3], [0, 12, 12, 88, 10, 100, 8, 8, 2], [0, 12, 13, 82, 25, 80, 23, 2, 3], [0, 12, 13, 83, 20, 90, 13, 7, 2], [0, 12, 13, 84, 15, 100, 3, 12, 1], [0, 12, 14, 77, 35, 70, 28, 1, 3], [0, 12, 14, 78, 30, 80, 18, 6, 2], [0, 12, 14, 79, 25, 90, 8, 11, 1], [0, 12, 15, 72, 45, 60, 33, 0, 3], [0, 12, 15, 73, 40, 70, 23, 5, 2], [0, 12, 15, 74, 35, 80, 13, 10, 1], [0, 12, 15, 75, 30, 90, 3, 15, 0], [0, 12, 16, 68, 50, 60, 28, 4, 2], [0, 12, 16, 69, 45, 70, 18, 9, 1], [0, 12, 16, 70, 40, 80, 8, 14, 0], [0, 12, 17, 63, 60, 50, 33, 3, 2], [0, 12, 17, 64, 55, 60, 23, 8, 1], [0, 12, 17, 65, 50, 70, 13, 13, 0], [0, 12, 18, 58, 70, 40, 38, 2, 2], [0, 12, 18, 59, 65, 50, 28, 7, 1], [0, 12, 18, 60, 60, 60, 18, 12, 0], [0, 12, 19, 53, 80, 30, 43, 1, 2], [0, 12, 19, 54, 75, 40, 33, 6, 1], [0, 12, 19, 55, 70, 50, 23, 11, 0], [0, 12, 20, 48, 90, 20, 48, 0, 2], [0, 12, 20, 49, 85, 30, 38, 5, 1], [0, 12, 20, 50, 80, 40, 28, 10, 0], [0, 12, 21, 44, 95, 20, 43, 4, 1], [0, 12, 21, 45, 90, 30, 33, 9, 0], [0, 12, 22, 39, 105, 10, 48, 3, 1], [0, 12, 22, 40, 100, 20, 38, 8, 0], [0, 12, 23, 34, 115, 0, 53, 2, 1], [0, 12, 23, 35, 110, 10, 43, 7, 0], [0, 12, 24, 30, 120, 0, 48, 6, 0], [0, 13, 7, 97, 5, 95, 17, 3, 3], [0, 13, 7, 98, 0, 105, 7, 8, 2], [0, 13, 8, 92, 15, 85, 22, 2, 3], [0, 13, 8, 93, 10, 95, 12, 7, 2], [0, 13, 8, 94, 5, 105, 2, 12, 1], [0, 13, 9, 87, 25, 75, 27, 1, 3], [0, 13, 9, 88, 20, 85, 17, 6, 2], [0, 13, 9, 89, 15, 95, 7, 11, 1], [0, 13, 10, 82, 35, 65, 32, 0, 3], [0, 13, 10, 83, 30, 75, 22, 5, 2], [0, 13, 10, 84, 25, 85, 12, 10, 1], [0, 13, 10, 85, 20, 95, 2, 15, 0], [0, 13, 11, 78, 40, 65, 27, 4, 2], [0, 13, 11, 79, 35, 75, 17, 9, 1], [0, 13, 11, 80, 30, 85, 7, 14, 0], [0, 13, 12, 73, 50, 55, 32, 3, 2], [0, 13, 12, 74, 45, 65, 22, 8, 1], [0, 13, 12, 75, 40, 75, 12, 13, 0], [0, 13, 13, 68, 60, 45, 37, 2, 2], [0, 13, 13, 69, 55, 55, 27, 7, 1], [0, 13, 13, 70, 50, 65, 17, 12, 0], [0, 13, 14, 63, 70, 35, 42, 1, 2], [0, 13, 14, 64, 65, 45, 32, 6, 1], [0, 13, 14, 65, 60, 55, 22, 11, 0], [0, 13, 15, 58, 80, 25, 47, 0, 2], [0, 13, 15, 59, 75, 35, 37, 5, 1], [0, 13, 15, 60, 70, 45, 27, 10, 0], [0, 13, 16, 54, 85, 25, 42, 4, 1], [0, 13, 16, 55, 80, 35, 32, 9, 0], [0, 13, 17, 49, 95, 15, 47, 3, 1], [0, 13, 17, 50, 90, 25, 37, 8, 0], [0, 13, 18, 44, 105, 5, 52, 2, 1], [0, 13, 18, 45, 100, 15, 42, 7, 0], [0, 13, 19, 40, 110, 5, 47, 6, 0], [0, 14, 3, 102, 5, 90, 21, 2, 3], [0, 14, 3, 103, 0, 100, 11, 7, 2], [0, 14, 4, 97, 15, 80, 26, 1, 3], [0, 14, 4, 98, 10, 90, 16, 6, 2], [0, 14, 4, 99, 5, 100, 6, 11, 1], [0, 14, 5, 92, 25, 70, 31, 0, 3], [0, 14, 5, 93, 20, 80, 21, 5, 2], [0, 14, 5, 94, 15, 90, 11, 10, 1], [0, 14, 5, 95, 10, 100, 1, 15, 0], [0, 14, 6, 88, 30, 70, 26, 4, 2], [0, 14, 6, 89, 25, 80, 16, 9, 1], [0, 14, 6, 90, 20, 90, 6, 14, 0], [0, 14, 7, 83, 40, 60, 31, 3, 2], [0, 14, 7, 84, 35, 70, 21, 8, 1], [0, 14, 7, 85, 30, 80, 11, 13, 0], [0, 14, 8, 78, 50, 50, 36, 2, 2], [0, 14, 8, 79, 45, 60, 26, 7, 1], [0, 14, 8, 80, 40, 70, 16, 12, 0], [0, 14, 9, 73, 60, 40, 41, 1, 2], [0, 14, 9, 74, 55, 50, 31, 6, 1], [0, 14, 9, 75, 50, 60, 21, 11, 0], [0, 14, 10, 68, 70, 30, 46, 0, 2], [0, 14, 10, 69, 65, 40, 36, 5, 1], [0, 14, 10, 70, 60, 50, 26, 10, 0], [0, 14, 11, 64, 75, 30, 41, 4, 1], [0, 14, 11, 65, 70, 40, 31, 9, 0], [0, 14, 12, 59, 85, 20, 46, 3, 1], [0, 14, 12, 60, 80, 30, 36, 8, 0], [0, 14, 13, 54, 95, 10, 51, 2, 1], [0, 14, 13, 55, 90, 20, 41, 7, 0], [0, 14, 14, 49, 105, 0, 56, 1, 1], [0, 14, 14, 50, 100, 10, 46, 6, 0], [0, 14, 15, 45, 110, 0, 51, 5, 0], [0, 15, 0, 102, 15, 75, 30, 0, 3], [0, 15, 0, 103, 10, 85, 20, 5, 2], [0, 15, 0, 104, 5, 95, 10, 10, 1], [0, 15, 0, 105, 0, 105, 0, 15, 0], [0, 15, 1, 98, 20, 75, 25, 4, 2], [0, 15, 1, 99, 15, 85, 15, 9, 1], [0, 15, 1, 100, 10, 95, 5, 14, 0], [0, 15, 2, 93, 30, 65, 30, 3, 2], [0, 15, 2, 94, 25, 75, 20, 8, 1], [0, 15, 2, 95, 20, 85, 10, 13, 0], [0, 15, 3, 88, 40, 55, 35, 2, 2], [0, 15, 3, 89, 35, 65, 25, 7, 1], [0, 15, 3, 90, 30, 75, 15, 12, 0], [0, 15, 4, 83, 50, 45, 40, 1, 2], [0, 15, 4, 84, 45, 55, 30, 6, 1], [0, 15, 4, 85, 40, 65, 20, 11, 0], [0, 15, 5, 78, 60, 35, 45, 0, 2], [0, 15, 5, 79, 55, 45, 35, 5, 1], [0, 15, 5, 80, 50, 55, 25, 10, 0], [0, 15, 6, 74, 65, 35, 40, 4, 1], [0, 15, 6, 75, 60, 45, 30, 9, 0], [0, 15, 7, 69, 75, 25, 45, 3, 1], [0, 15, 7, 70, 70, 35, 35, 8, 0], [0, 15, 8, 64, 85, 15, 50, 2, 1], [0, 15, 8, 65, 80, 25, 40, 7, 0], [0, 15, 9, 59, 95, 5, 55, 1, 1], [0, 15, 9, 60, 90, 15, 45, 6, 0], [0, 15, 10, 55, 100, 5, 50, 5, 0], [0, 16, 0, 88, 50, 40, 44, 0, 2], [0, 16, 0, 89, 45, 50, 34, 5, 1], [0, 16, 0, 90, 40, 60, 24, 10, 0], [0, 16, 1, 84, 55, 40, 39, 4, 1], [0, 16, 1, 85, 50, 50, 29, 9, 0], [0, 16, 2, 79, 65, 30, 44, 3, 1], [0, 16, 2, 80, 60, 40, 34, 8, 0], [0, 16, 3, 74, 75, 20, 49, 2, 1], [0, 16, 3, 75, 70, 30, 39, 7, 0], [0, 16, 4, 69, 85, 10, 54, 1, 1], [0, 16, 4, 70, 80, 20, 44, 6, 0], [0, 16, 5, 64, 95, 0, 59, 0, 1], [0, 16, 5, 65, 90, 10, 49, 5, 0], [0, 16, 6, 60, 100, 0, 54, 4, 0], [0, 17, 0, 74, 85, 5, 58, 0, 1], [0, 17, 0, 75, 80, 15, 48, 5, 0], [0, 17, 1, 70, 90, 5, 53, 4, 0]} (9, 240, 4) has 2337 possible DDs: {[0, 0, 27, 55, 6, 90, 55, 3, 0, 4], [0, 0, 28, 50, 16, 80, 60, 2, 0, 4], [0, 0, 28, 52, 7, 95, 50, 2, 3, 3], [0, 0, 28, 53, 2, 105, 40, 7, 2, 3], [0, 0, 29, 45, 26, 70, 65, 1, 0, 4], [0, 0, 29, 47, 17, 85, 55, 1, 3, 3], [0, 0, 29, 48, 12, 95, 45, 6, 2, 3], [0, 0, 29, 49, 7, 105, 35, 11, 1, 3], [0, 0, 29, 49, 8, 100, 45, 1, 6, 2], [0, 0, 29, 50, 2, 115, 25, 16, 0, 3], [0, 0, 29, 50, 3, 110, 35, 6, 5, 2], [0, 0, 30, 40, 36, 60, 70, 0, 0, 4], [0, 0, 30, 42, 27, 75, 60, 0, 3, 3], [0, 0, 30, 43, 22, 85, 50, 5, 2, 3], [0, 0, 30, 44, 17, 95, 40, 10, 1, 3], [0, 0, 30, 44, 18, 90, 50, 0, 6, 2], [0, 0, 30, 45, 12, 105, 30, 15, 0, 3], [0, 0, 30, 45, 13, 100, 40, 5, 5, 2], [0, 0, 30, 46, 8, 110, 30, 10, 4, 2], [0, 0, 30, 46, 9, 105, 40, 0, 9, 1], [0, 0, 30, 47, 3, 120, 20, 15, 3, 2], [0, 0, 30, 47, 4, 115, 30, 5, 8, 1], [0, 0, 30, 48, 0, 120, 30, 0, 12, 0], [0, 0, 31, 38, 32, 75, 55, 4, 2, 3], [0, 0, 31, 39, 27, 85, 45, 9, 1, 3], [0, 0, 31, 40, 22, 95, 35, 14, 0, 3], [0, 0, 31, 40, 23, 90, 45, 4, 5, 2], [0, 0, 31, 41, 18, 100, 35, 9, 4, 2], [0, 0, 31, 42, 13, 110, 25, 14, 3, 2], [0, 0, 31, 42, 14, 105, 35, 4, 8, 1], [0, 0, 31, 43, 8, 120, 15, 19, 2, 2], [0, 0, 31, 43, 9, 115, 25, 9, 7, 1], [0, 0, 31, 44, 3, 130, 5, 24, 1, 2], [0, 0, 31, 44, 4, 125, 15, 14, 6, 1], [0, 0, 31, 44, 5, 120, 25, 4, 11, 0], [0, 0, 31, 45, 0, 130, 15, 9, 10, 0], [0, 0, 32, 33, 42, 65, 60, 3, 2, 3], [0, 0, 32, 34, 37, 75, 50, 8, 1, 3], [0, 0, 32, 35, 32, 85, 40, 13, 0, 3], [0, 0, 32, 35, 33, 80, 50, 3, 5, 2], [0, 0, 32, 36, 28, 90, 40, 8, 4, 2], [0, 0, 32, 37, 23, 100, 30, 13, 3, 2], [0, 0, 32, 37, 24, 95, 40, 3, 8, 1], [0, 0, 32, 38, 18, 110, 20, 18, 2, 2], [0, 0, 32, 38, 19, 105, 30, 8, 7, 1], [0, 0, 32, 39, 13, 120, 10, 23, 1, 2], [0, 0, 32, 39, 14, 115, 20, 13, 6, 1], [0, 0, 32, 39, 15, 110, 30, 3, 11, 0], [0, 0, 32, 40, 8, 130, 0, 28, 0, 2], [0, 0, 32, 40, 9, 125, 10, 18, 5, 1], [0, 0, 32, 40, 10, 120, 20, 8, 10, 0], [0, 0, 32, 41, 4, 135, 0, 23, 4, 1], [0, 0, 32, 41, 5, 130, 10, 13, 9, 0], [0, 0, 32, 42, 0, 140, 0, 18, 8, 0], [0, 0, 33, 28, 52, 55, 65, 2, 2, 3], [0, 0, 33, 29, 47, 65, 55, 7, 1, 3], [0, 0, 33, 30, 42, 75, 45, 12, 0, 3], [0, 0, 33, 30, 43, 70, 55, 2, 5, 2], [0, 0, 33, 31, 38, 80, 45, 7, 4, 2], [0, 0, 33, 32, 33, 90, 35, 12, 3, 2], [0, 0, 33, 32, 34, 85, 45, 2, 8, 1], [0, 0, 33, 33, 28, 100, 25, 17, 2, 2], [0, 0, 33, 33, 29, 95, 35, 7, 7, 1], [0, 0, 33, 34, 23, 110, 15, 22, 1, 2], [0, 0, 33, 34, 24, 105, 25, 12, 6, 1], [0, 0, 33, 34, 25, 100, 35, 2, 11, 0], [0, 0, 33, 35, 18, 120, 5, 27, 0, 2], [0, 0, 33, 35, 19, 115, 15, 17, 5, 1], [0, 0, 33, 35, 20, 110, 25, 7, 10, 0], [0, 0, 33, 36, 14, 125, 5, 22, 4, 1], [0, 0, 33, 36, 15, 120, 15, 12, 9, 0], [0, 0, 33, 37, 10, 130, 5, 17, 8, 0], [0, 0, 34, 23, 62, 45, 70, 1, 2, 3], [0, 0, 34, 24, 57, 55, 60, 6, 1, 3], [0, 0, 34, 25, 52, 65, 50, 11, 0, 3], [0, 0, 34, 25, 53, 60, 60, 1, 5, 2], [0, 0, 34, 26, 48, 70, 50, 6, 4, 2], [0, 0, 34, 27, 43, 80, 40, 11, 3, 2], [0, 0, 34, 27, 44, 75, 50, 1, 8, 1], [0, 0, 34, 28, 38, 90, 30, 16, 2, 2], [0, 0, 34, 28, 39, 85, 40, 6, 7, 1], [0, 0, 34, 29, 33, 100, 20, 21, 1, 2], [0, 0, 34, 29, 34, 95, 30, 11, 6, 1], [0, 0, 34, 29, 35, 90, 40, 1, 11, 0], [0, 0, 34, 30, 28, 110, 10, 26, 0, 2], [0, 0, 34, 30, 29, 105, 20, 16, 5, 1], [0, 0, 34, 30, 30, 100, 30, 6, 10, 0], [0, 0, 34, 31, 24, 115, 10, 21, 4, 1], [0, 0, 34, 31, 25, 110, 20, 11, 9, 0], [0, 0, 34, 32, 19, 125, 0, 26, 3, 1], [0, 0, 34, 32, 20, 120, 10, 16, 8, 0], [0, 0, 34, 33, 15, 130, 0, 21, 7, 0], [0, 0, 35, 18, 72, 35, 75, 0, 2, 3], [0, 0, 35, 19, 67, 45, 65, 5, 1, 3], [0, 0, 35, 20, 62, 55, 55, 10, 0, 3], [0, 0, 35, 20, 63, 50, 65, 0, 5, 2], [0, 0, 35, 21, 58, 60, 55, 5, 4, 2], [0, 0, 35, 22, 53, 70, 45, 10, 3, 2], [0, 0, 35, 22, 54, 65, 55, 0, 8, 1], [0, 0, 35, 23, 48, 80, 35, 15, 2, 2], [0, 0, 35, 23, 49, 75, 45, 5, 7, 1], [0, 0, 35, 24, 43, 90, 25, 20, 1, 2], [0, 0, 35, 24, 44, 85, 35, 10, 6, 1], [0, 0, 35, 24, 45, 80, 45, 0, 11, 0], [0, 0, 35, 25, 38, 100, 15, 25, 0, 2], [0, 0, 35, 25, 39, 95, 25, 15, 5, 1], [0, 0, 35, 25, 40, 90, 35, 5, 10, 0], [0, 0, 35, 26, 34, 105, 15, 20, 4, 1], [0, 0, 35, 26, 35, 100, 25, 10, 9, 0], [0, 0, 35, 27, 29, 115, 5, 25, 3, 1], [0, 0, 35, 27, 30, 110, 15, 15, 8, 0], [0, 0, 35, 28, 25, 120, 5, 20, 7, 0], [0, 0, 36, 14, 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