leetcode-problemset/leetcode-cn/originData/minimum-number-of-operations-to-satisfy-conditions.json

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            "title": "Minimum Number of Operations to Satisfy Conditions",
            "titleSlug": "minimum-number-of-operations-to-satisfy-conditions",
            "content": "<p>You are given a 2D matrix <code>grid</code> of size <code>m x n</code>. In one <strong>operation</strong>, you can change the value of <strong>any</strong> cell to <strong>any</strong> non-negative number. You need to perform some <strong>operations</strong> such that each cell <code>grid[i][j]</code> is:</p>\n\n<ul>\n\t<li>Equal to the cell below it, i.e. <code>grid[i][j] == grid[i + 1][j]</code> (if it exists).</li>\n\t<li>Different from the cell to its right, i.e. <code>grid[i][j] != grid[i][j + 1]</code> (if it exists).</li>\n</ul>\n\n<p>Return the <strong>minimum</strong> number of operations needed.</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 = [[1,0,2],[1,0,2]]</span></p>\n\n<p><strong>Output:</strong> 0</p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/04/15/examplechanged.png\" style=\"width: 254px; height: 186px;padding: 10px; background: #fff; border-radius: .5rem;\" /></strong></p>\n\n<p>All the cells in the matrix already satisfy the properties.</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 = [[1,1,1],[0,0,0]]</span></p>\n\n<p><strong>Output:</strong> 3</p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/03/27/example21.png\" style=\"width: 254px; height: 186px;padding: 10px; background: #fff; border-radius: .5rem;\" /></strong></p>\n\n<p>The matrix becomes <code>[[1,0,1],[1,0,1]]</code> which satisfies the properties, by doing these 3 operations:</p>\n\n<ul>\n\t<li>Change <code>grid[1][0]</code> to 1.</li>\n\t<li>Change <code>grid[0][1]</code> to 0.</li>\n\t<li>Change <code>grid[1][2]</code> to 1.</li>\n</ul>\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],[2],[3]]</span></p>\n\n<p><strong>Output:</strong> 2</p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/03/31/changed.png\" style=\"width: 86px; height: 277px;padding: 10px; background: #fff; border-radius: .5rem;\" /></p>\n\n<p>There is a single column. We can change the value to 1 in each cell using 2 operations.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n, m &lt;= 1000</code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 9</code></li>\n</ul>\n",
            "translatedTitle": "使矩阵满足条件的最少操作次数",
            "translatedContent": "<p>给你一个大小为 <code>m x n</code>&nbsp;的二维矩形&nbsp;<code>grid</code>&nbsp;。每次 <strong>操作</strong>&nbsp;中，你可以将 <strong>任一</strong> 格子的值修改为 <strong>任意</strong>&nbsp;非负整数。完成所有操作后，你需要确保每个格子&nbsp;<code>grid[i][j]</code>&nbsp;的值满足：</p>\n\n<ul>\n\t<li>如果下面相邻格子存在的话，它们的值相等，也就是&nbsp;<code>grid[i][j] == grid[i + 1][j]</code>（如果存在）。</li>\n\t<li>如果右边相邻格子存在的话，它们的值不相等，也就是&nbsp;<code>grid[i][j] != grid[i][j + 1]</code>（如果存在）。</li>\n</ul>\n\n<p>请你返回需要的 <strong>最少</strong>&nbsp;操作数目。</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 = [[1,0,2],[1,0,2]]</span></p>\n\n<p><b>输出：</b>0</p>\n\n<p><b>解释：</b></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/04/15/examplechanged.png\" style=\"width: 254px; height: 186px;padding: 10px; background: #fff; border-radius: .5rem;\" /></strong></p>\n\n<p>矩阵中所有格子已经满足要求。</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 = [[1,1,1],[0,0,0]]</span></p>\n\n<p><b>输出：</b>3</p>\n\n<p><strong>解释：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/03/27/example21.png\" style=\"width: 254px; height: 186px;padding: 10px; background: #fff; border-radius: .5rem;\" /></strong></p>\n\n<p>将矩阵变成&nbsp;<code>[[1,0,1],[1,0,1]]</code>&nbsp;，它满足所有要求，需要 3 次操作：</p>\n\n<ul>\n\t<li>将&nbsp;<code>grid[1][0]</code>&nbsp;变为 1 。</li>\n\t<li>将&nbsp;<code>grid[0][1]</code> 变为 0 。</li>\n\t<li>将&nbsp;<code>grid[1][2]</code>&nbsp;变为 1 。</li>\n</ul>\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],[2],[3]]</span></p>\n\n<p><b>输出：</b>2</p>\n\n<p><strong>解释：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/03/31/changed.png\" style=\"width: 86px; height: 277px;padding: 10px; background: #fff; border-radius: .5rem;\" /></p>\n\n<p>这个矩阵只有一列，我们可以通过 2 次操作将所有格子里的值变为 1 。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n, m &lt;= 1000</code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 9</code></li>\n</ul>\n",
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