A square matrix is said to be an X-Matrix if both of the following conditions hold:
All the elements in the diagonals of the matrix are non-zero.
All other elements are 0.
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
.
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