leetcode-problemset/leetcode-cn/originData/minimum-number-of-flips-to-make-binary-grid-palindromic-i.json

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            "title": "Minimum Number of Flips to Make Binary Grid Palindromic I",
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            "content": "<p>You are given an <code>m x n</code> binary matrix <code>grid</code>.</p>\n\n<p>A row or column is considered <strong>palindromic</strong> if its values read the same forward and backward.</p>\n\n<p>You can <strong>flip</strong> any number of cells in <code>grid</code> from <code>0</code> to <code>1</code>, or from <code>1</code> to <code>0</code>.</p>\n\n<p>Return the <strong>minimum</strong> number of cells that need to be flipped to make <strong>either</strong> all rows <strong>palindromic</strong> or all columns <strong>palindromic</strong>.</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\">grid = [[1,0,0],[0,0,0],[0,0,1]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/07/07/screenshot-from-2024-07-08-00-20-10.png\" style=\"width: 420px; height: 108px;\" /></p>\n\n<p>Flipping the highlighted cells makes all the rows palindromic.</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\">grid = </span>[[0,1],[0,1],[0,0]]</p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/07/07/screenshot-from-2024-07-08-00-31-23.png\" style=\"width: 300px; height: 100px;\" /></p>\n\n<p>Flipping the highlighted cell makes all the columns palindromic.</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\">grid = [[1],[0]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>All rows are already palindromic.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>1 &lt;= m * n &lt;= 2 * 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 1</code></li>\n</ul>\n",
            "translatedTitle": "最少翻转次数使二进制矩阵回文 I",
            "translatedContent": "<p>给你一个&nbsp;<code>m x n</code>&nbsp;的二进制矩阵&nbsp;<code>grid</code>&nbsp;。</p>\n\n<p>如果矩阵中一行或者一列从前往后与从后往前读是一样的，那么我们称这一行或者这一列是 <strong>回文</strong> 的。</p>\n\n<p>你可以将 <code>grid</code>&nbsp;中任意格子的值 <strong>翻转</strong>&nbsp;，也就是将格子里的值从 <code>0</code>&nbsp;变成 <code>1</code>&nbsp;，或者从 <code>1</code>&nbsp;变成 <code>0</code>&nbsp;。</p>\n\n<p>请你返回 <strong>最少</strong>&nbsp;翻转次数，使得矩阵 <strong>要么</strong>&nbsp;所有行是 <strong>回文的</strong>&nbsp;，要么所有列是 <strong>回文的</strong>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>grid = [[1,0,0],[0,0,0],[0,0,1]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>2</span></p>\n\n<p><b>解释：</b></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/07/07/screenshot-from-2024-07-08-00-20-10.png\" style=\"width: 420px; height: 108px;\" /></p>\n\n<p>将高亮的格子翻转，得到所有行都是回文的。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>grid = </span>[[0,1],[0,1],[0,0]]</p>\n\n<p><span class=\"example-io\"><b>输出：</b>1</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/07/07/screenshot-from-2024-07-08-00-31-23.png\" style=\"width: 300px; height: 100px;\" /></p>\n\n<p>将高亮的格子翻转，得到所有列都是回文的。</p>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>grid = [[1],[0]]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>0</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>所有行已经是回文的。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>1 &lt;= m * n &lt;= 2 * 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 1</code></li>\n</ul>\n",
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