diff --git a/back-tracking/Sudoku.js b/back-tracking/Sudoku.js new file mode 100644 index 000000000..ae360bbe2 --- /dev/null +++ b/back-tracking/Sudoku.js @@ -0,0 +1,97 @@ +class Sudoku { + // Sudoku Class to hold the board and related functions + constructor (board) { + this.board = board + } + + findEmptyCell () { + // Find a empty cell in the board (returns [-1, -1] if all cells are filled) + for (let i = 0; i < 9; i++) { + for (let j = 0; j < 9; j++) { + if (this.board[i][j] === 0) return [i, j] + } + } + return [-1, -1] + } + + check ([y, x], value) { + // checks if the value to be added in the board is an acceptable value for the cell + + // checking through the row + for (let i = 0; i < 9; i++) { + if (this.board[i][x] === value) return false + } + // checking through the column + for (let i = 0; i < 9; i++) { + if (this.board[y][i] === value) return false + } + + // checking through the 3x3 block of the cell + const secRow = Math.floor(y / 3) + const secCol = Math.floor(x / 3) + for (let i = (secRow * 3); i < ((secRow * 3) + 3); i++) { + for (let j = (secCol * 3); j < ((secCol * 3) + 3); j++) { + if (y !== i && x !== j && this.board[i][j] === value) return false + } + } + + return true + } + + solve () { + const [y, x] = this.findEmptyCell() + + // checking if the board is complete + if (y === -1 && x === -1) return true + + for (let val = 1; val < 10; val++) { + if (this.check([y, x], val)) { + this.board[y][x] = val + if (this.solve()) return true + // backtracking if the board cannot be solved using current configuration + this.board[y][x] = 0 + } + } + // returning false the board cannot be solved using current configuration + return false + } + + getSection (row, [start, end]) { + return this.board[row].slice(start, end) + } + + printBoard () { + // helper function to display board + for (let i = 0; i < 9; i++) { + if (i % 3 === 0 && i !== 0) console.log('- - - - - - - - - - - -') + console.log( + ...this.getSection(i, [0, 3]), ' | ', + ...this.getSection(i, [3, 6]), ' | ', + ...this.getSection(i, [6, 9])) + } + } +} + +function main () { + // main function with an example + const sudokuBoard = new Sudoku([ + [3, 0, 6, 5, 0, 8, 4, 0, 0], + [5, 2, 0, 0, 0, 0, 0, 0, 0], + [0, 8, 7, 0, 0, 0, 0, 3, 1], + [0, 0, 3, 0, 1, 0, 0, 8, 0], + [9, 0, 0, 8, 6, 3, 0, 0, 5], + [0, 5, 0, 0, 9, 0, 6, 0, 0], + [1, 3, 0, 0, 0, 0, 2, 5, 0], + [0, 0, 0, 0, 0, 0, 0, 7, 4], + [0, 0, 5, 2, 0, 6, 3, 0, 0] + ]) + + sudokuBoard.printBoard() + + console.log('\n') + sudokuBoard.solve() + + sudokuBoard.printBoard() +} + +main()