2946. Matrix Similarity After Cyclic Shifts
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You are given an m x n integer matrix mat and an integer k. The matrix rows are 0-indexed.
The following proccess 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.
Return 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
Explanation:
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
Hints
Hint 1
You can reduce
k shifts to (k % n) shifts as after n shifts the matrix will become similar to the initial matrix.