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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).

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.

Check if Every Row and Column Contains All Numbers diagram

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

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