|
| 1 | +package routes |
| 2 | + |
| 3 | +import ( |
| 4 | + "math/rand" |
| 5 | + "strings" |
| 6 | +) |
| 7 | + |
| 8 | +const boardSize = 9 |
| 9 | +const blockSize = 3 |
| 10 | + |
| 11 | +func solve(board [boardSize][boardSize]int, cell int, count *int) bool { |
| 12 | + var i, j int |
| 13 | + |
| 14 | + for { |
| 15 | + if cell == boardSize*boardSize { |
| 16 | + *count++ |
| 17 | + if *count == 2 { |
| 18 | + return true |
| 19 | + } else { |
| 20 | + return false |
| 21 | + } |
| 22 | + } |
| 23 | + |
| 24 | + i = cell / boardSize |
| 25 | + j = cell % boardSize |
| 26 | + |
| 27 | + if board[i][j] == 0 { |
| 28 | + break |
| 29 | + } |
| 30 | + |
| 31 | + cell++ |
| 32 | + } |
| 33 | + |
| 34 | + // Origin of block. |
| 35 | + i0 := i - i%blockSize |
| 36 | + j0 := j - j%blockSize |
| 37 | + |
| 38 | + // 1 - 9 in random order. |
| 39 | + var numbers [boardSize]int |
| 40 | + |
| 41 | + for i := range numbers { |
| 42 | + j := rand.Intn(i + 1) |
| 43 | + numbers[i] = numbers[j] |
| 44 | + numbers[j] = i + 1 |
| 45 | + } |
| 46 | + |
| 47 | +Numbers: |
| 48 | + for _, number := range numbers { |
| 49 | + // number is already in the row. |
| 50 | + for _, numberInRow := range board[i] { |
| 51 | + if number == numberInRow { |
| 52 | + continue Numbers |
| 53 | + } |
| 54 | + } |
| 55 | + |
| 56 | + // number is already in the column. |
| 57 | + for _, row := range board { |
| 58 | + if number == row[j] { |
| 59 | + continue Numbers |
| 60 | + } |
| 61 | + } |
| 62 | + |
| 63 | + // number is already in the block. |
| 64 | + for _, row := range board[i0:i] { |
| 65 | + for _, numberInRow := range row[j0 : j0+blockSize] { |
| 66 | + if number == numberInRow { |
| 67 | + continue Numbers |
| 68 | + } |
| 69 | + } |
| 70 | + } |
| 71 | + |
| 72 | + board[i][j] = number |
| 73 | + |
| 74 | + if solve(board, cell+1, count) { |
| 75 | + return true |
| 76 | + } |
| 77 | + } |
| 78 | + |
| 79 | + // No valid number for this cell, let's backtrack. |
| 80 | + board[i][j] = 0 |
| 81 | + |
| 82 | + return false |
| 83 | +} |
| 84 | + |
| 85 | +func sudoku() (args []string, out string) { |
| 86 | + var board [boardSize][boardSize]int |
| 87 | + |
| 88 | + var generate func(int) bool |
| 89 | + generate = func(cell int) bool { |
| 90 | + i := cell / boardSize |
| 91 | + j := cell % boardSize |
| 92 | + |
| 93 | + // Origin of block. |
| 94 | + i0 := i - i%blockSize |
| 95 | + j0 := j - j%blockSize |
| 96 | + |
| 97 | + // 1 - 9 in random order. |
| 98 | + var numbers [boardSize]int |
| 99 | + |
| 100 | + for i := range numbers { |
| 101 | + j := rand.Intn(i + 1) |
| 102 | + numbers[i] = numbers[j] |
| 103 | + numbers[j] = i + 1 |
| 104 | + } |
| 105 | + |
| 106 | + Numbers: |
| 107 | + for _, number := range numbers { |
| 108 | + // number is already in the row. |
| 109 | + for _, numberInRow := range board[i] { |
| 110 | + if number == numberInRow { |
| 111 | + continue Numbers |
| 112 | + } |
| 113 | + } |
| 114 | + |
| 115 | + // number is already in the column. |
| 116 | + for _, row := range board { |
| 117 | + if number == row[j] { |
| 118 | + continue Numbers |
| 119 | + } |
| 120 | + } |
| 121 | + |
| 122 | + // number is already in the block. |
| 123 | + for _, row := range board[i0:i] { |
| 124 | + for _, numberInRow := range row[j0 : j0+blockSize] { |
| 125 | + if number == numberInRow { |
| 126 | + continue Numbers |
| 127 | + } |
| 128 | + } |
| 129 | + } |
| 130 | + |
| 131 | + board[i][j] = number |
| 132 | + |
| 133 | + if cell+1 == boardSize*boardSize || generate(cell+1) { |
| 134 | + return true |
| 135 | + } |
| 136 | + } |
| 137 | + |
| 138 | + // No valid number for this cell, let's backtrack. |
| 139 | + board[i][j] = 0 |
| 140 | + |
| 141 | + return false |
| 142 | + } |
| 143 | + |
| 144 | + generate(0) |
| 145 | + |
| 146 | + var b strings.Builder |
| 147 | + |
| 148 | + for i, row := range board { |
| 149 | + if i == 0 { |
| 150 | + b.WriteString("┏━━━┯━━━┯━━━┳━━━┯━━━┯━━━┳━━━┯━━━┯━━━┓\n") |
| 151 | + } else if i%blockSize == 0 { |
| 152 | + b.WriteString("┣━━━┿━━━┿━━━╋━━━┿━━━┿━━━╋━━━┿━━━┿━━━┫\n") |
| 153 | + } else { |
| 154 | + b.WriteString("┠───┼───┼───╂───┼───┼───╂───┼───┼───┨\n") |
| 155 | + } |
| 156 | + |
| 157 | + for j, number := range row { |
| 158 | + if j%blockSize == 0 { |
| 159 | + b.WriteString("┃") |
| 160 | + } else { |
| 161 | + b.WriteString("│") |
| 162 | + } |
| 163 | + |
| 164 | + b.WriteRune(' ') |
| 165 | + if number == 0 { |
| 166 | + b.WriteRune(' ') |
| 167 | + } else { |
| 168 | + b.WriteRune(rune('0' + number)) |
| 169 | + } |
| 170 | + b.WriteRune(' ') |
| 171 | + } |
| 172 | + |
| 173 | + b.WriteString("┃\n") |
| 174 | + } |
| 175 | + |
| 176 | + b.WriteString("┗━━━┷━━━┷━━━┻━━━┷━━━┷━━━┻━━━┷━━━┷━━━┛") |
| 177 | + |
| 178 | + out = b.String() |
| 179 | + |
| 180 | + for k, cell := range rand.Perm(boardSize * boardSize) { |
| 181 | + i := cell / boardSize |
| 182 | + j := cell % boardSize |
| 183 | + |
| 184 | + orig := board[i][j] |
| 185 | + board[i][j] = 0 |
| 186 | + |
| 187 | + var count int |
| 188 | + solve(board, 0, &count) |
| 189 | + |
| 190 | + // Removing this cell creates too many solutions, put it back. |
| 191 | + if count == 2 { |
| 192 | + board[i][j] = orig |
| 193 | + } |
| 194 | + |
| 195 | + // TODO Switch to dancing links to remove this grotesque hack! |
| 196 | + // http://garethrees.org/2007/06/10/zendoku-generation/#section-4 |
| 197 | + if k == 50 { |
| 198 | + break |
| 199 | + } |
| 200 | + } |
| 201 | + |
| 202 | + for _, row := range board { |
| 203 | + var b strings.Builder |
| 204 | + |
| 205 | + for _, number := range row { |
| 206 | + if number == 0 { |
| 207 | + b.WriteRune('_') |
| 208 | + } else { |
| 209 | + b.WriteRune(rune('0' + number)) |
| 210 | + } |
| 211 | + } |
| 212 | + |
| 213 | + args = append(args, b.String()) |
| 214 | + } |
| 215 | + |
| 216 | + return |
| 217 | +} |
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