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Check if Matrix Is X-Matrix

A square matrix is said to be an X-Matrix if both of the following conditions hold: Given a 2D integer array grid of size n x n representing a square matrix, return true if grid...

A square matrix is said to be an X-Matrix if both of the following conditions hold:

Given a 2D integer array grid of size n x n representing a square matrix, return true if grid is an X-Matrix. Otherwise, return false.

Check if Matrix Is X-Matrix diagram

Example 1

Input: grid = [[2,0,0,1],[0,3,1,0],[0,5,2,0],[4,0,0,2]]

Output: true

Explanation: Refer to the diagram above. An X-Matrix should have the green elements (diagonals) be non-zero and the red elements be 0. Thus, grid is an X-Matrix.

Example 2

Input: grid = [[5,7,0],[0,3,1],[0,5,0]]

Output: false

Explanation: Refer to the diagram above. An X-Matrix should have the green elements (diagonals) be non-zero and the red elements be 0. Thus, grid is not an X-Matrix.

Constraints

  • n == grid.length == grid[i].length
  • 3 <= n <= 100
  • 0 <= grid[i][j] <= 10^5

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