Matrix Similarity After Cyclic Shifts
Easy
You receive an m x n integer matrix mat and an integer k. The matrix rows are 0-indexed.
The following process happens k times:
- Even-indexed rows (0, 2, 4,...) are cyclically shifted to the left.
- Odd-indexed rows (1, 3, 5,...) are cyclically shifted to the right.
Find and provide true if the final modified matrix after k steps is identical to the original matrix, and false otherwise.
Example 1
Input: mat = [[1,2,3],[4,5,6],[7,8,9]], k = 4
Output: false
Explanation: In each step left shift is applied to rows 0 and 2 (even indices), and right shift to row 1 (odd index).
Example 2
Input: mat = [[1,2,1,2],[5,5,5,5],[6,3,6,3]], k = 2
Output: true
Example 3
Input: mat = [[2,2],[2,2]], k = 3
Output: true
Explanation: As all the values are equal in the matrix, even after performing cyclic shifts the matrix will remain the same.
Constraints
1 <= mat.length <= 251 <= mat[i].length <= 251 <= mat[i][j] <= 251 <= k <= 50
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