|
1 |
| -/// TODO: Fill In |
| 1 | +/// Determine if a `9 x 9` Sudoku board is valid. Only the filled cells need to |
| 2 | +/// be validated according to the following rules: |
| 3 | +/// |
| 4 | +/// Each row must contain the digits `1-9` without repetition. |
| 5 | +/// |
| 6 | +/// Each column must contain the digits `1-9` without repetition. |
| 7 | +/// |
| 8 | +/// Each of the nine `3 x 3` sub-boxes of the grid must contain the digits `1-9` |
| 9 | +/// without repetition. |
| 10 | +/// |
| 11 | +/// Note: |
| 12 | +/// * A Sudoku board (partially filled) could be valid but is not necessarily |
| 13 | +/// solvable. |
| 14 | +/// |
| 15 | +/// * Only the filled cells need to be validated according to the mentioned |
| 16 | +/// rules. |
2 | 17 | struct Solution;
|
3 | 18 |
|
4 | 19 | impl Solution {
|
5 |
| - // TODO: Implement |
6 |
| - pub fn is_valid_sudoku(_board: Vec<Vec<char>>) -> bool { |
7 |
| - false |
| 20 | + |
| 21 | + fn char_to_index(c: char) -> usize { |
| 22 | + c.to_digit(10).unwrap_or_default() as usize |
| 23 | + } |
| 24 | + |
| 25 | + fn is_valid_component<F>(board: &Vec<Vec<char>>, f: F) -> bool |
| 26 | + where F: Fn(&Vec<Vec<char>>, usize) -> char { |
| 27 | + |
| 28 | + let mut result = true; |
| 29 | + let mut working = vec![0; 10]; |
| 30 | + for i in 0..9 { |
| 31 | + let value = f(board, i); |
| 32 | + if value != '.' { |
| 33 | + let w = Self::char_to_index(value); |
| 34 | + if working[w] == w { |
| 35 | + result = false; |
| 36 | + break; |
| 37 | + } else { working[w] = w; } |
| 38 | + } |
| 39 | + } |
| 40 | + |
| 41 | + result |
| 42 | + } |
| 43 | + |
| 44 | + fn is_valid_section(board: &Vec<Vec<char>>, sec: usize) -> bool { |
| 45 | + let row_offset = match sec { |
| 46 | + 0 | 1 | 2 => 0, |
| 47 | + 3 | 4 | 5 => 3, |
| 48 | + 6 | 7 | 8 => 6, |
| 49 | + _ => 0, |
| 50 | + }; |
| 51 | + let col_offset = match sec { |
| 52 | + 0 | 3 | 6 => 0, |
| 53 | + 1 | 4 | 7 => 3, |
| 54 | + 2 | 5 | 8 => 6, |
| 55 | + _ => 0, |
| 56 | + }; |
| 57 | + |
| 58 | + Self::is_valid_component(board, |board, num| { |
| 59 | + let (row, col) = match num { |
| 60 | + 0 => (0 + row_offset, 0 + col_offset), |
| 61 | + 1 => (0 + row_offset, 1 + col_offset), |
| 62 | + 2 => (0 + row_offset, 2 + col_offset), |
| 63 | + 3 => (1 + row_offset, 0 + col_offset), |
| 64 | + 4 => (1 + row_offset, 1 + col_offset), |
| 65 | + 5 => (1 + row_offset, 2 + col_offset), |
| 66 | + 6 => (2 + row_offset, 0 + col_offset), |
| 67 | + 7 => (2 + row_offset, 1 + col_offset), |
| 68 | + 8 => (2 + row_offset, 2 + col_offset), |
| 69 | + _ => (0, 0) |
| 70 | + }; |
| 71 | + board[row][col] |
| 72 | + }) |
| 73 | + } |
| 74 | + |
| 75 | + fn is_valid_column(board: &Vec<Vec<char>>, col: usize) -> bool { |
| 76 | + Self::is_valid_component(board, |board, row| board[row][col]) |
| 77 | + } |
| 78 | + |
| 79 | + fn is_valid_row(board: &Vec<Vec<char>>, row: usize) -> bool { |
| 80 | + Self::is_valid_component(board, |board, col| board[row][col]) |
8 | 81 | }
|
| 82 | + |
| 83 | + pub fn is_valid_sudoku(board: Vec<Vec<char>>) -> bool { |
| 84 | + let mut result = true; |
| 85 | + |
| 86 | + for i in 0..9 { |
| 87 | + result = result && Self::is_valid_row(&board, i); |
| 88 | + result = result && Self::is_valid_column(&board, i); |
| 89 | + result = result && Self::is_valid_section(&board, i); |
| 90 | + } |
| 91 | + |
| 92 | + result |
| 93 | + } |
| 94 | + |
9 | 95 | }
|
10 | 96 |
|
11 | 97 | #[cfg(test)]
|
12 | 98 | mod tests {
|
13 | 99 | use super::Solution;
|
14 | 100 |
|
15 |
| - #[ignore] |
16 | 101 | #[test]
|
17 | 102 | fn example_1() {
|
18 |
| - // TODO: Fill In |
| 103 | + let board = vec![ |
| 104 | + vec!['5','3','.','.','7','.','.','.','.'], |
| 105 | + vec!['6','.','.','1','9','5','.','.','.'], |
| 106 | + vec!['.','9','8','.','.','.','.','6','.'], |
| 107 | + vec!['8','.','.','.','6','.','.','.','3'], |
| 108 | + vec!['4','.','.','8','.','3','.','.','1'], |
| 109 | + vec!['7','.','.','.','2','.','.','.','6'], |
| 110 | + vec!['.','6','.','.','.','.','2','8','.'], |
| 111 | + vec!['.','.','.','4','1','9','.','.','5'], |
| 112 | + vec!['.','.','.','.','8','.','.','7','9'] |
| 113 | + ]; |
| 114 | + let result = Solution::is_valid_sudoku(board); |
| 115 | + assert!(result); |
19 | 116 | }
|
20 | 117 |
|
21 |
| - #[ignore] |
22 | 118 | #[test]
|
23 | 119 | fn example_2() {
|
24 |
| - // TODO: Fill In |
| 120 | + let board = vec![ |
| 121 | + vec!['8','3','.','.','7','.','.','.','.'], |
| 122 | + vec!['6','.','.','1','9','5','.','.','.'], |
| 123 | + vec!['.','9','8','.','.','.','.','6','.'], |
| 124 | + vec!['8','.','.','.','6','.','.','.','3'], |
| 125 | + vec!['4','.','.','8','.','3','.','.','1'], |
| 126 | + vec!['7','.','.','.','2','.','.','.','6'], |
| 127 | + vec!['.','6','.','.','.','.','2','8','.'], |
| 128 | + vec!['.','.','.','4','1','9','.','.','5'], |
| 129 | + vec!['.','.','.','.','8','.','.','7','9'] |
| 130 | + ]; |
| 131 | + let result = Solution::is_valid_sudoku(board); |
| 132 | + assert!(!result); |
25 | 133 | }
|
| 134 | + |
26 | 135 | }
|
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