diff --git a/src/main/java/com/thealgorithms/backtracking/SudokuSolver.java b/src/main/java/com/thealgorithms/backtracking/SudokuSolver.java new file mode 100644 index 000000000000..2e73487d9b8d --- /dev/null +++ b/src/main/java/com/thealgorithms/backtracking/SudokuSolver.java @@ -0,0 +1,85 @@ +package main.java.com.thealgorithms.backtracking; + +public class SudokuSolver { + public static boolean sudokuSolver(int sudoku[][], int row, int col) { + // base case + if (row == 9) { + return true; + } + // recursion + int nextRow = row, nextCol = col + 1; + if (col + 1 == 9) { + nextRow = row + 1; + nextCol = 0; + } + if (sudoku[row][col] != 0) { + return sudokuSolver(sudoku, nextRow, nextCol); + } + for (int digit = 1; digit <= 9; digit++) { + if (isSafe(sudoku, row, col, digit)) { + sudoku[row][col] = digit; + + if (sudokuSolver(sudoku, nextRow, nextCol)) { + return true; + } + sudoku[row][col] = 0; + } + } + + return false; + } + + public static boolean isSafe(int sudoku[][], int row, int col, int digit) { + // col + for (int i = 0; i <= 8; i++) { + if (sudoku[i][col] == digit) { + return false; + } + } + // row + for (int j = 0; j <= 8; j++) { + if (sudoku[row][j] == digit) { + return false; + } + } + // grid + int sr = (row / 3) * 3; + int sc = (col / 3) * 3; + for (int i = sr; i < sr + 3; i++) { + for (int j = sc; i < sr + 3; i++) { + if (sudoku[i][j] == digit) { + return false; + } + } + } + return true; + } + + public static void print(int sudoku[][]) { + for (int i = 0; i < 9; i++) { + for (int j = 0; j < 9; j++) { + System.out.print(sudoku[i][j] + " "); + } + System.out.println(); + } + } + + public static void main(String[] args) { + int 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 } }; + if (sudokuSolver(sudoku, 0, 0)) { + + print(sudoku); + } else { + System.out.println("not valid"); + } + } + +}