You are given an n x n
square matrix of integers grid
. Return the matrix such that:
Example 1:
Input: grid = [[1,7,3],[9,8,2],[4,5,6]]
Output: [[8,2,3],[9,6,7],[4,5,1]]
Explanation:
The diagonals with a black arrow (bottom-left triangle) should be sorted in non-increasing order:
[1, 8, 6]
becomes [8, 6, 1]
.[9, 5]
and [4]
remain unchanged.The diagonals with a blue arrow (top-right triangle) should be sorted in non-decreasing order:
[7, 2]
becomes [2, 7]
.[3]
remains unchanged.Example 2:
Input: grid = [[0,1],[1,2]]
Output: [[2,1],[1,0]]
Explanation:
The diagonals with a black arrow must be non-increasing, so [0, 2]
is changed to [2, 0]
. The other diagonals are already in the correct order.
Example 3:
Input: grid = [[1]]
Output: [[1]]
Explanation:
Diagonals with exactly one element are already in order, so no changes are needed.
Constraints:
grid.length == grid[i].length == n
1 <= n <= 10
-105 <= grid[i][j] <= 105