|
| 1 | +import copy |
| 2 | + |
| 3 | +domains = { |
| 4 | + 2: { |
| 5 | + 3: [[1, 2]], |
| 6 | + 4: [[1, 3]], |
| 7 | + 5: [[1, 4], [2, 3]], |
| 8 | + 6: [[1, 5], [2, 4]], |
| 9 | + 7: [[1, 6], [2, 5], [3, 4]], |
| 10 | + 8: [[1, 7], [2, 6], [3, 5]], |
| 11 | + 9: [[1, 8], [2, 7], [3, 6], [4, 5]], |
| 12 | + 10: [[1, 9], [2, 8], [3, 7], [4, 6]], |
| 13 | + 11: [[2, 9], [3, 8], [4, 7], [5, 6]], |
| 14 | + 12: [[3, 9], [4, 8], [5, 7]], |
| 15 | + 13: [[4, 9], [5, 8], [6, 7]], |
| 16 | + 14: [[5, 9], [6, 8]], |
| 17 | + 15: [[6, 9], [7, 8]], |
| 18 | + 16: [[7, 9]], |
| 19 | + 17: [[8, 9]] |
| 20 | + }, |
| 21 | + 3: { |
| 22 | + 6: [[1, 2, 3]], |
| 23 | + 7: [[1, 2, 4]], |
| 24 | + 8: [[1, 2, 5], [1, 3, 4]], |
| 25 | + 9: [[1, 2, 6], [1, 3, 5], [2, 3, 4]], |
| 26 | + 10: [[1, 2, 7], [1, 3, 6], [1, 4, 5], [2, 3, 5]], |
| 27 | + 11: [[1, 2, 8], [1, 3, 7], [1, 4, 6], [2, 3, 6], [2, 4, 5]], |
| 28 | + 12: [[1, 2, 9], [1, 3, 8], [1, 4, 7], [1, 5, 6], [2, 3, 7], [2, 4, 6], [3, 4, 5]], |
| 29 | + 13: [[1, 3, 9], [1, 4, 8], [1, 5, 7], [2, 3, 8], [2, 4, 7], [2, 5, 6], [3, 4, 6]], |
| 30 | + 14: [[1, 4, 9], [1, 5, 8], [1, 6, 7], [2, 3, 9], [2, 4, 8], [2, 5, 7], [3, 4, 7], [3, 5, 6]], |
| 31 | + 15: [[1, 5, 9], [1, 6, 8], [2, 4, 9], [2, 5, 8], [2, 6, 7], [3, 4, 8], [3, 5, 7], [4, 5, 6]], |
| 32 | + 16: [[1, 6, 9], [1, 7, 8], [2, 5, 9], [2, 6, 8], [3, 4, 9], [3, 5, 8], [3, 6, 7], [4, 5, 7]], |
| 33 | + 17: [[1, 7, 9], [2, 6, 9], [2, 7, 8], [3, 5, 9], [3, 6, 8], [4, 5, 8], [4, 6, 7]], |
| 34 | + 18: [[1, 8, 9], [2, 7, 9], [3, 6, 9], [3, 7, 8], [4, 5, 9], [4, 6, 8]], |
| 35 | + 19: [[2, 8, 9], [3, 7, 9], [4, 6, 9], [4, 7, 8], [5, 6, 8]], |
| 36 | + 20: [[3, 8, 9], [4, 7, 9], [5, 6, 9], [5, 7, 8]], |
| 37 | + 21: [[4, 8, 9], [5, 7, 9], [6, 7, 8]], |
| 38 | + 22: [[5, 8, 9], [6, 7, 9]], |
| 39 | + 23: [[6, 8, 9]], |
| 40 | + 24: [[7, 8, 9]] |
| 41 | + }, |
| 42 | + |
| 43 | + 4: { |
| 44 | + 10: [[1, 2, 3, 4]], |
| 45 | + 11: [[1, 2, 3, 5]], |
| 46 | + 12: [[1, 2, 3, 6], [1, 2, 4, 5]], |
| 47 | + 13: [[1, 2, 3, 7], [1, 2, 4, 6], [1, 3, 4, 5]], |
| 48 | + 14: [[1, 2, 3, 8], [1, 2, 4, 7], [1, 2, 5, 6], [1, 3, 4, 6], [2, 3, 4, 5]], |
| 49 | + 15: [[1, 2, 3, 9], [1, 2, 4, 8], [1, 2, 5, 7], [1, 3, 4, 7], [1, 3, 5, 6], [2, 3, 4, 6]], |
| 50 | + 16: [[1, 2, 4, 9], [1, 2, 5, 8], [1, 2, 6, 7], [1, 3, 4, 8], [1, 3, 5, 7], [1, 4, 5, 6], [2, 3, 4, 7]], |
| 51 | + 17: [[1, 2, 5, 9], [1, 2, 6, 8], [1, 3, 4, 9], [1, 3, 5, 8], [1, 3, 6, 7], [1, 4, 5, 7], [2, 3, 4, 8], |
| 52 | + [2, 3, 5, 6]], |
| 53 | + 18: [[1, 2, 6, 9], [1, 2, 7, 8], [1, 3, 5, 9], [1, 3, 6, 8], [1, 4, 5, 8], [1, 4, 6, 7], [2, 3, 4, 9], |
| 54 | + [2, 3, 5, 8], [2, 3, 6, 7]], |
| 55 | + 19: [[1, 2, 7, 9], [1, 2, 8, 8], [1, 3, 6, 9], [1, 3, 7, 8], [1, 4, 5, 9], [1, 4, 6, 8], [1, 4, 7, 7], |
| 56 | + [2, 3, 5, 9], [2, 3, 6, 8], [2, 4, 5, 8], [2, 4, 6, 7]], |
| 57 | + 20: [[1, 2, 8, 9], [1, 2, 9, 8], [1, 3, 7, 9], [1, 4, 6, 9], [1, 4, 7, 8], [1, 5, 6, 8], [2, 3, 6, 9], |
| 58 | + [2, 3, 7, 8], [2, 4, 5, 9], [2, 4, 6, 8], [2, 5, 6, 7]], |
| 59 | + 21: [[1, 3, 8, 9], [1, 4, 7, 9], [1, 5, 6, 9], [1, 5, 7, 8], [2, 3, 7, 9], [2, 4, 6, 9], [2, 4, 7, 8], |
| 60 | + [2, 5, 6, 8], [3, 4, 5, 9], [3, 4, 6, 8], [3, 5, 6, 7]], |
| 61 | + 22: [[1, 4, 8, 9], [1, 5, 7, 9], [1, 6, 7, 8], [2, 3, 8, 9], [2, 4, 7, 9], [2, 5, 6, 9], [2, 5, 7, 8], |
| 62 | + [3, 4, 6, 9], [3, 4, 7, 8], [3, 5, 6, 8], [4, 5, 6, 7]], |
| 63 | + 23: [[1, 5, 8, 9], [1, 6, 7, 9], [2, 4, 8, 9], [2, 5, 7, 9], [2, 6, 7, 8], [3, 4, 7, 9], [3, 5, 6, 9], |
| 64 | + [3, 5, 7, 8], [4, 5, 6, 8]], |
| 65 | + 24: [[1, 6, 8, 9], [2, 5, 8, 9], [2, 6, 7, 9], [3, 4, 8, 9], [3, 5, 7, 9], [3, 6, 7, 8], [4, 5, 6, 9], |
| 66 | + [4, 5, 7, 8]], |
| 67 | + 25: [[1, 7, 8, 9], [2, 6, 8, 9], [3, 5, 8, 9], [3, 6, 7, 9], [4, 5, 7, 9], [4, 6, 7, 8]], |
| 68 | + 26: [[2, 7, 8, 9], [3, 6, 8, 9], [4, 5, 8, 9], [4, 6, 7, 9], [5, 6, 7, 8]], |
| 69 | + 27: [[3, 7, 8, 9], [4, 6, 8, 9], [5, 6, 7, 9]], |
| 70 | + 28: [[4, 7, 8, 9], [5, 6, 8, 9]], |
| 71 | + 29: [[5, 7, 8, 9]], |
| 72 | + 30: [[6, 7, 8, 9]] |
| 73 | + }, |
| 74 | + |
| 75 | + 5: { |
| 76 | + 15: [[1, 2, 3, 4, 5]], |
| 77 | + 16: [[1, 2, 3, 4, 6]], |
| 78 | + 17: [[1, 2, 3, 4, 7], [1, 2, 3, 5, 6]], |
| 79 | + 18: [[1, 2, 3, 4, 8], [1, 2, 3, 5, 7], [1, 2, 4, 5, 6]], |
| 80 | + 19: [[1, 2, 3, 4, 9], [1, 2, 3, 5, 8], [1, 2, 3, 6, 7], [1, 2, 4, 5, 7], [1, 3, 4, 5, 6]], |
| 81 | + 20: [[1, 2, 3, 5, 9], [1, 2, 3, 6, 8], [1, 2, 3, 7, 7], [1, 2, 4, 5, 8], [1, 2, 4, 6, 7], [1, 2, 5, 6, 6], |
| 82 | + [1, 3, 4, 5, 7], [2, 3, 4, 5, 6]], |
| 83 | + 21: [[1, 2, 3, 6, 9], [1, 2, 3, 7, 8], [1, 2, 4, 5, 9], [1, 2, 4, 6, 8], [1, 2, 5, 6, 7], [1, 3, 4, 5, 8], |
| 84 | + [1, 3, 4, 6, 7], [2, 3, 4, 5, 7]], |
| 85 | + 22: [[1, 2, 3, 7, 9], [1, 2, 4, 6, 9], [1, 2, 4, 7, 8], [1, 2, 5, 6, 8], [1, 3, 4, 5, 9], [1, 3, 4, 6, 8], |
| 86 | + [1, 3, 5, 6, 7], [2, 3, 4, 5, 8], [2, 3, 4, 6, 7]], |
| 87 | + 23: [[1, 2, 3, 8, 9], [1, 2, 4, 7, 9], [1, 2, 5, 6, 9], [1, 2, 5, 7, 8], [1, 3, 4, 6, 9], [1, 3, 4, 7, 8], |
| 88 | + [1, 3, 5, 6, 8], [1, 4, 5, 6, 7], [2, 3, 4, 5, 9], [2, 3, 4, 6, 8], [2, 3, 5, 6, 7]], |
| 89 | + 24: [[1, 2, 4, 8, 9], [1, 2, 5, 7, 9], [1, 2, 6, 7, 8], [1, 3, 4, 7, 9], [1, 3, 5, 6, 9], [1, 3, 5, 7, 8], |
| 90 | + [1, 4, 5, 6, 8], [2, 3, 4, 6, 9], [2, 3, 4, 7, 8], [2, 3, 5, 6, 8], [2, 4, 5, 6, 7]], |
| 91 | + 25: [[1, 2, 5, 8, 9], [1, 2, 6, 7, 9], [1, 3, 4, 8, 9], [1, 3, 5, 7, 9], [1, 3, 6, 7, 8], [1, 4, 5, 6, 9], |
| 92 | + [1, 4, 5, 7, 8], [2, 3, 4, 7, 9], [2, 3, 5, 6, 9], [2, 3, 5, 7, 8], [2, 4, 5, 6, 8], [3, 4, 5, 6, 7]], |
| 93 | + 26: [[1, 2, 6, 8, 9], [1, 3, 5, 8, 9], [1, 3, 6, 7, 9], [1, 4, 5, 7, 9], [1, 4, 6, 7, 8], [2, 3, 4, 8, 9], |
| 94 | + [2, 3, 5, 7, 9], [2, 3, 6, 7, 8], [2, 4, 5, 6, 9], [2, 4, 5, 7, 8], [3, 4, 5, 6, 8]], |
| 95 | + 27: [[1, 2, 7, 8, 9], [1, 3, 6, 8, 9], [1, 4, 5, 8, 9], [1, 4, 6, 7, 9], [1, 5, 6, 7, 8], [2, 3, 5, 8, 9], |
| 96 | + [2, 3, 6, 7, 9], [2, 4, 5, 7, 9], [2, 4, 6, 7, 8], [3, 4, 5, 6, 9], [3, 4, 5, 7, 8]], |
| 97 | + 28: [[1, 3, 7, 8, 9], [1, 4, 6, 8, 9], [1, 5, 6, 7, 9], [2, 3, 6, 8, 9], [2, 4, 5, 8, 9], [2, 4, 6, 7, 9], |
| 98 | + [2, 5, 6, 7, 8], [3, 4, 5, 7, 9], [3, 4, 6, 7, 8]], |
| 99 | + 29: [[1, 4, 7, 8, 9], [1, 5, 6, 8, 9], [2, 3, 7, 8, 9], [2, 4, 6, 8, 9], [2, 5, 6, 7, 9], [3, 4, 5, 8, 9], |
| 100 | + [3, 4, 6, 7, 9], [3, 5, 6, 7, 8]], |
| 101 | + 30: [[1, 5, 7, 8, 9], [2, 4, 7, 8, 9], [2, 5, 6, 8, 9], [3, 4, 6, 8, 9], [3, 5, 6, 7, 9], [4, 5, 6, 7, 8]], |
| 102 | + 31: [[1, 6, 7, 8, 9], [2, 5, 7, 8, 9], [3, 4, 7, 8, 9], [3, 5, 6, 8, 9], [4, 5, 6, 7, 9]], |
| 103 | + 32: [[2, 6, 7, 8, 9], [3, 5, 7, 8, 9], [4, 5, 6, 8, 9]], |
| 104 | + 33: [[3, 6, 7, 8, 9], [4, 5, 7, 8, 9]], |
| 105 | + 34: [[4, 6, 7, 8, 9]], |
| 106 | + 35: [[5, 6, 7, 8, 9]] |
| 107 | + }, |
| 108 | + |
| 109 | + 6: { |
| 110 | + 21: [[1, 2, 3, 4, 5, 6]], |
| 111 | + 22: [[1, 2, 3, 4, 5, 7]], |
| 112 | + 23: [[1, 2, 3, 4, 5, 8], [1, 2, 3, 4, 6, 7]], |
| 113 | + 24: [[1, 2, 3, 4, 5, 9], [1, 2, 3, 4, 6, 8], [1, 2, 3, 5, 6, 7]], |
| 114 | + 25: [[1, 2, 3, 4, 6, 9], [1, 2, 3, 4, 7, 8], [1, 2, 3, 5, 6, 8], [1, 2, 4, 5, 6, 7]], |
| 115 | + 26: [[1, 2, 3, 4, 7, 9], [1, 2, 3, 5, 6, 9], [1, 2, 3, 5, 7, 8], [1, 2, 4, 5, 6, 8], [1, 3, 4, 5, 6, 7]], |
| 116 | + 27: [[1, 2, 3, 4, 8, 9], [1, 2, 3, 5, 7, 9], [1, 2, 3, 6, 7, 8], [1, 2, 4, 5, 6, 9], [1, 2, 4, 5, 7, 8], |
| 117 | + [1, 3, 4, 5, 6, 8], [2, 3, 4, 5, 6, 7]], |
| 118 | + 28: [[1, 2, 3, 5, 8, 9], [1, 2, 3, 6, 7, 9], [1, 2, 4, 5, 7, 9], [1, 2, 4, 6, 7, 8], [1, 3, 4, 5, 6, 9], |
| 119 | + [1, 3, 4, 5, 7, 8], [2, 3, 4, 5, 6, 8]], |
| 120 | + 29: [[1, 2, 3, 6, 8, 9], [1, 2, 3, 7, 7, 9], [1, 2, 4, 5, 8, 9], [1, 2, 4, 6, 7, 9], [1, 2, 4, 6, 8, 8], |
| 121 | + [1, 2, 5, 6, 7, 8], [1, 3, 4, 5, 7, 9], [1, 3, 4, 6, 7, 8], [2, 3, 4, 5, 6, 9], [2, 3, 4, 5, 7, 8]], |
| 122 | + 30: [[1, 2, 3, 7, 8, 9], [1, 2, 4, 6, 8, 9], [1, 2, 5, 6, 7, 9], [1, 3, 4, 5, 8, 9], [1, 3, 4, 6, 7, 9], |
| 123 | + [1, 3, 4, 6, 8, 8], [1, 3, 5, 6, 7, 8], [2, 3, 4, 5, 7, 9], [2, 3, 4, 6, 7, 8], [2, 3, 5, 6, 7, 8]], |
| 124 | + 31: [[1, 2, 4, 7, 8, 9], [1, 2, 5, 6, 8, 9], [1, 3, 4, 6, 8, 9], [1, 3, 5, 6, 7, 9], [1, 4, 5, 6, 7, 8], |
| 125 | + [2, 3, 4, 5, 8, 9], [2, 3, 4, 6, 7, 9], [2, 3, 4, 6, 8, 8], [2, 3, 5, 6, 7, 8], [3, 4, 5, 6, 7, 8]], |
| 126 | + 32: [[1, 2, 5, 7, 8, 9], [1, 3, 4, 7, 8, 9], [1, 3, 5, 6, 8, 9], [1, 4, 5, 6, 7, 9], [2, 3, 4, 6, 8, 9], |
| 127 | + [2, 3, 5, 6, 7, 9], [2, 4, 5, 6, 7, 8]], |
| 128 | + 33: [[1, 3, 6, 7, 8, 9], [1, 4, 5, 7, 8, 9], [2, 3, 5, 7, 8, 9], [2, 4, 5, 6, 8, 9], [2, 4, 5, 7, 8, 8], |
| 129 | + [3, 4, 5, 6, 7, 9]], |
| 130 | + 34: [[1, 4, 6, 7, 8, 9], [2, 3, 6, 7, 8, 9], [2, 4, 5, 7, 8, 9], [3, 4, 5, 6, 8, 9]], |
| 131 | + 35: [[1, 5, 6, 7, 8, 9], [2, 4, 6, 7, 8, 9], [3, 4, 5, 7, 8, 9]], |
| 132 | + 36: [[1, 5, 6, 7, 8, 9], [2, 5, 6, 7, 8, 9], [3, 4, 6, 7, 8, 9]], |
| 133 | + 37: [[3, 5, 6, 7, 8, 9], [3, 4, 6, 7, 8, 9]], |
| 134 | + 38: [[3, 5, 6, 7, 8, 9]], |
| 135 | + 39: [[4, 5, 6, 7, 8, 9]] |
| 136 | + }, |
| 137 | + |
| 138 | + 7: { |
| 139 | + 28: [[1, 2, 3, 4, 5, 6, 7]], |
| 140 | + 29: [[1, 2, 3, 4, 5, 6, 8]], |
| 141 | + 30: [[1, 2, 3, 4, 5, 6, 9], [1, 2, 3, 4, 5, 7, 8]], |
| 142 | + 31: [[1, 2, 3, 4, 5, 7, 9], [1, 2, 3, 4, 6, 7, 8]], |
| 143 | + 32: [[1, 2, 3, 4, 5, 8, 9], [1, 2, 3, 5, 6, 7, 9], [1, 2, 4, 5, 6, 7, 8]], |
| 144 | + 33: [[1, 2, 3, 4, 6, 8, 9], [1, 2, 3, 5, 6, 7, 9], [1, 2, 4, 5, 6, 7, 8]], |
| 145 | + 34: [[1, 2, 3, 4, 7, 8, 9], [1, 2, 3, 5, 6, 8, 9], [1, 2, 4, 5, 6, 7, 9], [1, 3, 4, 5, 6, 7, 8]], |
| 146 | + 35: [[1, 2, 3, 5, 7, 8, 9], [1, 2, 4, 5, 6, 8, 9], [1, 3, 4, 5, 6, 7, 9], [2, 3, 4, 5, 6, 7, 8]], |
| 147 | + 36: [[1, 2, 3, 6, 7, 8, 9], [1, 2, 4, 5, 7, 8, 9], [1, 3, 4, 5, 6, 8, 9], [2, 3, 4, 5, 6, 7, 9]], |
| 148 | + 37: [[1, 2, 4, 6, 7, 8, 9], [1, 3, 4, 5, 7, 8, 9], [2, 3, 4, 5, 6, 8, 9]], |
| 149 | + 38: [[1, 2, 5, 6, 7, 8, 9], [1, 3, 4, 6, 7, 8, 9], [2, 3, 4, 5, 7, 8, 9]], |
| 150 | + 39: [[1, 3, 5, 6, 7, 8, 9], [2, 3, 4, 6, 7, 8, 9]], |
| 151 | + 40: [[1, 4, 5, 6, 7, 8, 9], [2, 3, 5, 6, 7, 8, 9]], |
| 152 | + 41: [[2, 4, 5, 6, 7, 8, 9]], |
| 153 | + 42: [[3, 4, 5, 6, 7, 8, 9]] |
| 154 | + }, |
| 155 | + 8: { |
| 156 | + 36: [[1, 2, 3, 4, 5, 6, 7, 8]], |
| 157 | + 37: [[1, 2, 3, 4, 5, 6, 7, 9]], |
| 158 | + 38: [[1, 2, 3, 4, 5, 6, 8, 9]], |
| 159 | + 39: [[1, 2, 3, 4, 5, 7, 8, 9]], |
| 160 | + 40: [[1, 2, 3, 4, 6, 7, 8, 9]], |
| 161 | + 41: [[1, 2, 3, 5, 6, 7, 8, 9]], |
| 162 | + 42: [[1, 2, 4, 5, 6, 7, 8, 9]], |
| 163 | + 43: [[1, 3, 4, 5, 6, 7, 8, 9]], |
| 164 | + 44: [[2, 3, 4, 5, 6, 7, 8, 9]] |
| 165 | + }, |
| 166 | + 9: { |
| 167 | + 45: [[1, 2, 3, 4, 5, 6, 7, 8, 9]] |
| 168 | + } |
| 169 | + |
| 170 | +} |
| 171 | + |
| 172 | + |
| 173 | +def extract_domains(length, value): |
| 174 | + result = copy.deepcopy(domains[length][value]) |
| 175 | + return result |
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