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37. Sudoku Solver - Java
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# LeetCode 37.Sudoku Solver | ||
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## Problem Description | ||
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Write a program to solve a Sudoku puzzle by filling the empty cells. | ||
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A sudoku solution must satisfy all of the following rules: | ||
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Each of the digits `1-9` must occur exactly once in each row. | ||
Each of the digits `1-9` must occur exactly once in each column. | ||
Each of the digits `1-9` must occur exactly once in each of the 9 `3x3` sub-boxes of the grid. | ||
The `'.'` character indicates empty cells. | ||
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**Example 1:** | ||
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![Screenshot 2023-10-31 004422](https://github.com/Bharathlax-2005/LeetCode-3/assets/116173614/b6c6ff39-513d-4295-9b52-90c1a1f5c2c4) | ||
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**Input:** board = [["5","3",".",".","7",".",".",".","."],["6",".",".","1","9","5",".",".","."],[".","9","8",".",".",".",".","6","."],["8",".",".",".","6",".",".",".","3"],["4",".",".","8",".","3",".",".","1"],["7",".",".",".","2",".",".",".","6"],[".","6",".",".",".",".","2","8","."],[".",".",".","4","1","9",".",".","5"],[".",".",".",".","8",".",".","7","9"]] | ||
**Output:** [["5","3","4","6","7","8","9","1","2"],["6","7","2","1","9","5","3","4","8"],["1","9","8","3","4","2","5","6","7"],["8","5","9","7","6","1","4","2","3"],["4","2","6","8","5","3","7","9","1"],["7","1","3","9","2","4","8","5","6"],["9","6","1","5","3","7","2","8","4"],["2","8","7","4","1","9","6","3","5"],["3","4","5","2","8","6","1","7","9"]] | ||
**Explanation:** The input board is shown above and the only valid solution is shown below: | ||
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![Screenshot 2023-10-31 004607](https://github.com/Bharathlax-2005/LeetCode-3/assets/116173614/ab9cd35f-eed8-45ca-b511-0a88fb7bfd25) | ||
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**Constraints:** | ||
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- `board.length == 9` | ||
- `board[i].length == 9` | ||
- `board[i][j]` is a digit or `'.'`. | ||
- It is guaranteed that the input board has only one solution. | ||
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### Link | ||
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https://leetcode.com/problems/sudoku-solver/ |
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class Solution { | ||
public void solveSudoku(char[][] board) { | ||
solve(board); | ||
} | ||
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private boolean solve(char[][] board) { | ||
for (int row = 0; row < 9; row++) { | ||
for (int col = 0; col < 9; col++) { | ||
if (board[row][col] == '.') { | ||
for (char c = '1'; c <= '9'; c++) { | ||
if (isValid(board, row, col, c)) { | ||
board[row][col] = c; | ||
if (solve(board)) { | ||
return true; | ||
} | ||
board[row][col] = '.'; // Backtrack | ||
} | ||
} | ||
return false; | ||
} | ||
} | ||
} | ||
return true; | ||
} | ||
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private boolean isValid(char[][] board, int row, int col, char c) { | ||
for (int i = 0; i < 9; i++) { | ||
if (board[row][i] == c || board[i][col] == c || board[3 * (row / 3) + i / 3][3 * (col / 3) + i % 3] == c) { | ||
return false; | ||
} | ||
} | ||
return true; | ||
} | ||
} | ||
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