leetcode-problemset/leetcode-cn/originData/matrix-similarity-after-cyclic-shifts.json

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            "title": "Matrix Similarity After Cyclic Shifts",
            "titleSlug": "matrix-similarity-after-cyclic-shifts",
            "content": "<p>You are given an <code>m x n</code> integer matrix <code>mat</code> and an integer <code>k</code>. The matrix rows are 0-indexed.</p>\n\n<p>The following proccess happens <code>k</code> times:</p>\n\n<ul>\n\t<li><strong>Even-indexed</strong> rows (0, 2, 4, ...) are cyclically shifted to the left.</li>\n</ul>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2024/05/19/lshift.jpg\" style=\"width: 283px; height: 90px;\" /></p>\n\n<ul>\n\t<li><strong>Odd-indexed</strong> rows (1, 3, 5, ...) are cyclically shifted to the right.</li>\n</ul>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2024/05/19/rshift-stlone.jpg\" style=\"width: 283px; height: 90px;\" /></p>\n\n<p>Return <code>true</code> if the final modified matrix after <code>k</code> steps is identical to the original matrix, and <code>false</code> otherwise.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">mat = [[1,2,3],[4,5,6],[7,8,9]], k = 4</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">false</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>In each step left shift is applied to rows 0 and 2 (even indices), and right shift to row 1 (odd index).</p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2024/05/19/t1-2.jpg\" style=\"width: 857px; height: 150px;\" /></p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">mat = [[1,2,1,2],[5,5,5,5],[6,3,6,3]], k = 2</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img src=\"https://assets.leetcode.com/uploads/2024/05/19/t1-3.jpg\" style=\"width: 632px; height: 150px;\" /></p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">mat = [[2,2],[2,2]], k = 3</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>As all the values are equal in the matrix, even after performing cyclic shifts the matrix will remain the same.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= mat.length &lt;= 25</code></li>\n\t<li><code>1 &lt;= mat[i].length &lt;= 25</code></li>\n\t<li><code>1 &lt;= mat[i][j] &lt;= 25</code></li>\n\t<li><code>1 &lt;= k &lt;= 50</code></li>\n</ul>\n",
            "translatedTitle": "循环移位后的矩阵相似检查",
            "translatedContent": "<p>给你一个<strong>下标从 0 开始</strong>且大小为 <code>m x n</code> 的整数矩阵 <code>mat</code> 和一个整数 <code>k</code> 。请你将矩阵中的<strong> 奇数</strong> 行循环 <strong>右</strong> 移 <code>k</code> 次，<strong>偶数</strong> 行循环 <strong>左</strong> 移 <code>k</code> 次。</p>\n\n<p>如果初始矩阵和最终矩阵完全相同，则返回 <code>true</code> ，否则返回 <code>false</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>mat = [[1,2,1,2],[5,5,5,5],[6,3,6,3]], k = 2\n<strong>输出：</strong>true\n<strong>解释：</strong>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/10/29/similarmatrix.png\" style=\"width: 500px; height: 117px;\" />\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</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>mat = [[2,2],[2,2]], k = 3\n<strong>输出：</strong>true\n<strong>解释：</strong>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</pre>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>mat = [[1,2]], k = 1\n<strong>输出：</strong>false\n<strong>解释：</strong>循环移位一次后，mat = [[2,1]]，与初始矩阵不相等。因此，返回 false 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= mat.length &lt;= 25</code></li>\n\t<li><code>1 &lt;= mat[i].length &lt;= 25</code></li>\n\t<li><code>1 &lt;= mat[i][j] &lt;= 25</code></li>\n\t<li><code>1 &lt;= k &lt;= 50</code></li>\n</ul>\n",
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