{ "data": { "question": { "questionId": "3215", "questionFrontendId": "2946", "boundTopicId": null, "title": "Matrix Similarity After Cyclic Shifts", "titleSlug": "matrix-similarity-after-cyclic-shifts", "content": "
You are given a 0-indexed m x n
integer matrix mat
and an integer k
. You have to cyclically right shift odd indexed rows k
times and cyclically left shift even indexed rows k
times.
Return true
if the initial and final matrix are exactly the same and false
otherwise.
\n
Example 1:
\n\n\nInput: mat = [[1,2,1,2],[5,5,5,5],[6,3,6,3]], k = 2\nOutput: true\nExplanation:\n\n\nInitially, the matrix looks like the first figure. \nSecond figure represents the state of the matrix after one right and left cyclic shifts to even and odd indexed rows.\nThird figure is the final state of the matrix after two cyclic shifts which is similar to the initial matrix.\nTherefore, return true.\n\n\n
Example 2:
\n\n\nInput: mat = [[2,2],[2,2]], k = 3\nOutput: true\nExplanation: As all the values are equal in the matrix, even after performing cyclic shifts the matrix will remain the same. Therefeore, we return true.\n\n\n
Example 3:
\n\n\nInput: mat = [[1,2]], k = 1\nOutput: false\nExplanation: After one cyclic shift, mat = [[2,1]] which is not equal to the initial matrix. Therefore we return false.\n\n\n
\n
Constraints:
\n\n1 <= mat.length <= 25
1 <= mat[i].length <= 25
1 <= mat[i][j] <= 25
1 <= k <= 50
k
shifts to (k % n)
shifts as after n
shifts the matrix will become similar to the initial matrix."
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"sampleTestCase": "[[1,2,1,2],[5,5,5,5],[6,3,6,3]]\n2",
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