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q35_valid_sudoku.rs
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q35_valid_sudoku.rs
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/**
* Determine if a 9x9 Sudoku board is valid. Only the filled cells need to be validated according to the following rules:
*
* Each row must contain the digits 1-9 without repetition.
* Each column must contain the digits 1-9 without repetition.
* Each of the 9 3x3 sub-boxes of the grid must contain the digits 1-9 without repetition.
*
* A partially filled sudoku which is valid.
*
* The Sudoku board could be partially filled, where empty cells are filled with the character '.'.
*
* Example 1:
*
* Input:
* [
* ["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: true
* Example 2:
*
* Input:
* [
* ["8","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: false
* Explanation: Same as Example 1, except with the 5 in the top left corner being
* modified to 8. Since there are two 8's in the top left 3x3 sub-box, it is invalid.
* Note:
*
* A Sudoku board (partially filled) could be valid but is not necessarily solvable.
* Only the filled cells need to be validated according to the mentioned rules.
* The given board contain only digits 1-9 and the character '.'.
* The given board size is always 9x9.
*/
fn is_valid_sudoku(board: Vec<Vec<char>>) -> bool {
macro_rules! check {
($c:expr,$container:expr) => {
if *$c != '.' && !$container.insert($c) {
return false;
}
};
}
// Use Vec as container, has same time cost in LeetCode
use std::collections::HashSet;
const BOARD_SIZE: usize = 9;
const CELL_SIZE: usize = 3;
let (mut line, mut sub_box) = (HashSet::new(), HashSet::new());
for x in 0..BOARD_SIZE {
for c in &board[x] {
// check the repetition of row
check!(c, line);
}
line.clear();
for y in 0..BOARD_SIZE {
// check the repetition of column
check!(&board[y][x], line);
// check the index, compute the repeatability of every 9 cell
if x % CELL_SIZE == 0 && y % CELL_SIZE == 0 {
// cell range: 3 * 3
for x in x..x + CELL_SIZE {
for y in y..y + CELL_SIZE {
check!(&board[x][y], sub_box);
}
}
sub_box.clear();
}
}
line.clear();
}
true
}
#[test]
fn q35_test() {
assert_eq!(
is_valid_sudoku(vec![
vec!['5', '3', '.', '.', '7', '.', '.', '.', '.'],
vec!['6', '.', '.', '1', '9', '5', '.', '.', '.'],
vec!['.', '9', '8', '.', '.', '.', '.', '6', '.'],
vec!['8', '.', '.', '.', '6', '.', '.', '.', '3'],
vec!['4', '.', '.', '8', '.', '3', '.', '.', '1'],
vec!['7', '.', '.', '.', '2', '.', '.', '.', '6'],
vec!['.', '6', '.', '.', '.', '.', '2', '8', '.'],
vec!['.', '.', '.', '4', '1', '9', '.', '.', '5'],
vec!['.', '.', '.', '.', '8', '.', '.', '7', '9']
]),
true
);
assert_eq!(
is_valid_sudoku(vec![
vec!['8', '3', '.', '.', '7', '.', '.', '.', '.'],
vec!['6', '.', '.', '1', '9', '5', '.', '.', '.'],
vec!['.', '9', '8', '.', '.', '.', '.', '6', '.'],
vec!['8', '.', '.', '.', '6', '.', '.', '.', '3'],
vec!['4', '.', '.', '8', '.', '3', '.', '.', '1'],
vec!['7', '.', '.', '.', '2', '.', '.', '.', '6'],
vec!['.', '6', '.', '.', '.', '.', '2', '8', '.'],
vec!['.', '.', '.', '4', '1', '9', '.', '.', '5'],
vec!['.', '.', '.', '.', '8', '.', '.', '7', '9']
]),
false
);
assert_eq!(
is_valid_sudoku(vec![
vec!['.', '.', '.', '.', '.', '.', '.', '.', '.'],
vec!['.', '.', '.', '.', '.', '.', '.', '.', '.'],
vec!['.', '.', '.', '.', '.', '.', '.', '.', '.'],
vec!['.', '.', '.', '.', '.', '.', '.', '.', '.'],
vec!['.', '.', '.', '.', '.', '.', '.', '.', '.'],
vec!['.', '.', '.', '.', '.', '.', '.', '.', '.'],
vec!['.', '.', '.', '.', '.', '.', '.', '.', '.'],
vec!['.', '.', '.', '.', '.', '.', '.', '.', '.'],
vec!['.', '.', '.', '.', '.', '.', '.', '.', '.']
]),
true
);
}