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2133. Check if Every Row and Column Contains All Numbers

An n x n matrix is valid if every row and every column contains all the integers from 1 to n (inclusive).

Given an n x n integer matrix matrix, return true if the matrix is valid. Otherwise, return false.

Example 1:

Input: matrix = [[1,2,3],[3,1,2],[2,3,1]]
Output: true
Explanation: In this case, n = 3, and every row and column contains the numbers 1, 2, and 3.
Hence, we return true.

Example 2:

Input: matrix = [[1,1,1],[1,2,3],[1,2,3]]
Output: false
Explanation: In this case, n = 3, but the first row and the first column do not contain the numbers 2 or 3.
Hence, we return false.

Constraints:

  • n == matrix.length == matrix[i].length
  • 1 <= n <= 100
  • 1 <= matrix[i][j] <= n

Solutions (Rust)

1. Solution

impl Solution {
    pub fn check_valid(matrix: Vec<Vec<i32>>) -> bool {
        let n = matrix.len();

        for i in 0..n {
            let mut valid_r = vec![false; n];
            let mut valid_c = vec![false; n];

            for j in 0..n {
                valid_r[matrix[i][j] as usize - 1] = true;
                valid_c[matrix[j][i] as usize - 1] = true;
            }

            if !(0..n).all(|k| valid_r[k] && valid_c[k]) {
                return false;
            }
        }

        true
    }
}