{ "data": { "question": { "questionId": "3215", "questionFrontendId": "100139", "categoryTitle": "Algorithms", "boundTopicId": 2538342, "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.

\n\n

Return true if the initial and final matrix are exactly the same and false otherwise.

\n\n

 

\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\n\n", "translatedTitle": "循环移位后的矩阵相似检查", "translatedContent": "

给你一个大小为 m x n 的整数矩阵 mat 和一个整数 k 。请你将矩阵中的 奇数 行循环 右 移 k 次，偶数 行循环 左 移 k 次。

\n\n

如果初始矩阵和最终矩阵完全相同，则返回 true ，否则返回 false 。

\n\n

 

\n\n

示例 1：

\n\n
\n输入：mat = [[1,2,1,2],[5,5,5,5],[6,3,6,3]], k = 2\n输出：true\n解释：\n\"\"\n\n初始矩阵如图一所示。\n图二表示对奇数行右移一次且对偶数行左移一次后的矩阵状态。\n图三是经过两次循环移位后的最终矩阵状态，与初始矩阵相同。\n因此，返回 true 。\n
\n\n

示例 2：

\n\n
\n输入：mat = [[2,2],[2,2]], k = 3\n输出：true\n解释：由于矩阵中的所有值都相等，即使进行循环移位，矩阵仍然保持不变。因此，返回 true 。\n
\n\n

示例 3：

\n\n
\n输入：mat = [[1,2]], k = 1\n输出：false\n解释：循环移位一次后，mat = [[2,1]]，与初始矩阵不相等。因此，返回 false 。\n
\n\n

 

\n\n

提示：

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