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| 1 | +/// @number 37 |
| 2 | +/// @title Sudoku Solver |
| 3 | +/// @url https://leetcode.com/problems/sudoku-solver/ |
| 4 | +/// @difficulty Hard |
| 5 | +
|
| 6 | +struct Solution; |
| 7 | + |
| 8 | +impl Solution { |
| 9 | + pub fn solve_sudoku(board: &mut Vec<Vec<char>>) { |
| 10 | + let mut empty_position = vec![]; |
| 11 | + for i in 0..9 { |
| 12 | + for j in 0..9 { |
| 13 | + if board[i][j] == '.' { |
| 14 | + empty_position.push((i, j)); |
| 15 | + board[i][j] = '0'; |
| 16 | + } |
| 17 | + } |
| 18 | + } |
| 19 | + let position_len = empty_position.len(); |
| 20 | + |
| 21 | + let mut loop_index = 0; |
| 22 | + while loop_index < position_len { |
| 23 | + let (x, y) = empty_position[loop_index]; |
| 24 | + |
| 25 | + if board[x][y] < '9' { |
| 26 | + board[x][y] = std::char::from_u32((board[x][y] as u32) + 1).unwrap(); |
| 27 | + } else { |
| 28 | + board[x][y] = '0'; |
| 29 | + loop_index -= 1; |
| 30 | + continue; |
| 31 | + } |
| 32 | + if Solution::invalid(board, x, y) { |
| 33 | + continue; |
| 34 | + } |
| 35 | + loop_index += 1; |
| 36 | + } |
| 37 | + } |
| 38 | + pub fn invalid(board: &Vec<Vec<char>>, x: usize, y: usize) -> bool { |
| 39 | + use std::collections::HashSet; |
| 40 | + let mut contain_table = HashSet::new(); |
| 41 | + |
| 42 | + // validate line |
| 43 | + for i in 0..9 { |
| 44 | + let x1 = board[x][i]; |
| 45 | + if x1 != '0' { |
| 46 | + if contain_table.contains(&x1) { |
| 47 | + return true; |
| 48 | + } |
| 49 | + contain_table.insert(x1); |
| 50 | + } |
| 51 | + } |
| 52 | + contain_table.clear(); |
| 53 | + |
| 54 | + // validate column |
| 55 | + |
| 56 | + for i in 0..9 { |
| 57 | + let x2 = board[i][y]; |
| 58 | + if x2 != '0' { |
| 59 | + if contain_table.contains(&x2) { |
| 60 | + return true; |
| 61 | + } |
| 62 | + contain_table.insert(x2); |
| 63 | + } |
| 64 | + } |
| 65 | + |
| 66 | + contain_table.clear(); |
| 67 | + // validate box |
| 68 | + |
| 69 | + let i1 = x / 3; |
| 70 | + let i2 = y / 3; |
| 71 | + for i in 0..3 { |
| 72 | + for j in 0..3 { |
| 73 | + let x3 = board[i1 * 3 + i][i2 * 3 + j]; |
| 74 | + if x3 != '0' { |
| 75 | + if contain_table.contains(&x3) { |
| 76 | + return true; |
| 77 | + } |
| 78 | + contain_table.insert(x3); |
| 79 | + } |
| 80 | + } |
| 81 | + } |
| 82 | + contain_table.clear(); |
| 83 | + false |
| 84 | + } |
| 85 | +} |
| 86 | + |
| 87 | +#[cfg(test)] |
| 88 | +mod test { |
| 89 | + use crate::sudoku_solver::Solution; |
| 90 | + |
| 91 | + #[test] |
| 92 | + fn test() { |
| 93 | + let mut sudoku = vec![ |
| 94 | + vec!['5', '3', '.', '.', '7', '.', '.', '.', '.'], |
| 95 | + vec!['6', '.', '.', '1', '9', '5', '.', '.', '.'], |
| 96 | + vec!['.', '9', '8', '.', '.', '.', '.', '6', '.'], |
| 97 | + vec!['8', '.', '.', '.', '6', '.', '.', '.', '3'], |
| 98 | + vec!['4', '.', '.', '8', '.', '3', '.', '.', '1'], |
| 99 | + vec!['7', '.', '.', '.', '2', '.', '.', '.', '6'], |
| 100 | + vec!['.', '6', '.', '.', '.', '.', '2', '8', '.'], |
| 101 | + vec!['.', '.', '.', '4', '1', '9', '.', '.', '5'], |
| 102 | + vec!['.', '.', '.', '.', '8', '.', '.', '7', '9'], |
| 103 | + ]; |
| 104 | + Solution::solve_sudoku(&mut sudoku); |
| 105 | + |
| 106 | + let mut expected_solution = vec![ |
| 107 | + vec!['5', '3', '4', '6', '7', '8', '9', '1', '2'], |
| 108 | + vec!['6', '7', '2', '1', '9', '5', '3', '4', '8'], |
| 109 | + vec!['1', '9', '8', '3', '4', '2', '5', '6', '7'], |
| 110 | + vec!['8', '5', '9', '7', '6', '1', '4', '2', '3'], |
| 111 | + vec!['4', '2', '6', '8', '5', '3', '7', '9', '1'], |
| 112 | + vec!['7', '1', '3', '9', '2', '4', '8', '5', '6'], |
| 113 | + vec!['9', '6', '1', '5', '3', '7', '2', '8', '4'], |
| 114 | + vec!['2', '8', '7', '4', '1', '9', '6', '3', '5'], |
| 115 | + vec!['3', '4', '5', '2', '8', '6', '1', '7', '9'], |
| 116 | + ]; |
| 117 | + assert_eq!(expected_solution, sudoku); |
| 118 | + } |
| 119 | + |
| 120 | + #[test] |
| 121 | + fn test_invalid_method() { |
| 122 | + let mut expected_solution = vec![ |
| 123 | + vec!['5', '3', '4', '6', '7', '8', '9', '1', '2'], |
| 124 | + vec!['6', '7', '2', '1', '9', '5', '3', '4', '8'], |
| 125 | + vec!['1', '9', '8', '3', '4', '2', '5', '6', '7'], |
| 126 | + vec!['8', '5', '9', '7', '6', '1', '4', '2', '3'], |
| 127 | + vec!['4', '2', '6', '8', '5', '3', '7', '9', '1'], |
| 128 | + vec!['7', '1', '3', '9', '2', '4', '8', '5', '6'], |
| 129 | + vec!['9', '6', '1', '5', '3', '7', '2', '8', '4'], |
| 130 | + vec!['2', '8', '7', '4', '1', '9', '6', '3', '5'], |
| 131 | + vec!['3', '4', '5', '2', '8', '6', '1', '7', '9'], |
| 132 | + ]; |
| 133 | + for i in 0..9 { |
| 134 | + for j in 0..9 { |
| 135 | + assert_eq!(false, Solution::invalid(&expected_solution, i, j)); |
| 136 | + } |
| 137 | + } |
| 138 | + } |
| 139 | +} |
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