leetcode-problemset/leetcode-cn/originData/minimum-operations-to-make-columns-strictly-increasing.json

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            "questionId": "3691",
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            "categoryTitle": "Algorithms",
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            "title": "Minimum Operations to Make Columns Strictly Increasing",
            "titleSlug": "minimum-operations-to-make-columns-strictly-increasing",
            "content": "<p>You are given a <code>m x n</code> matrix <code>grid</code> consisting of <b>non-negative</b> integers.</p>\n\n<p>In one operation, you can increment the value of any <code>grid[i][j]</code> by 1.</p>\n\n<p>Return the <strong>minimum</strong> number of operations needed to make all columns of <code>grid</code> <strong>strictly increasing</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 = [[3,2],[1,3],[3,4],[0,1]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">15</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>To make the <code>0<sup>th</sup></code> column strictly increasing, we can apply 3 operations on <code>grid[1][0]</code>, 2 operations on <code>grid[2][0]</code>, and 6 operations on <code>grid[3][0]</code>.</li>\n\t<li>To make the <code>1<sup>st</sup></code> column strictly increasing, we can apply 4 operations on <code>grid[3][1]</code>.</li>\n</ul>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/11/10/firstexample.png\" style=\"width: 200px; height: 347px;\" /></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 = [[3,2,1],[2,1,0],[1,2,3]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">12</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>To make the <code>0<sup>th</sup></code> column strictly increasing, we can apply 2 operations on <code>grid[1][0]</code>, and 4 operations on <code>grid[2][0]</code>.</li>\n\t<li>To make the <code>1<sup>st</sup></code> column strictly increasing, we can apply 2 operations on <code>grid[1][1]</code>, and 2 operations on <code>grid[2][1]</code>.</li>\n\t<li>To make the <code>2<sup>nd</sup></code> column strictly increasing, we can apply 2 operations on <code>grid[1][2]</code>.</li>\n</ul>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/11/10/secondexample.png\" style=\"width: 300px; height: 257px;\" /></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;= 50</code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt; 2500</code></li>\n</ul>\n\n<p>&nbsp;</p>\n<div class=\"spoiler\">\n<div>\n<pre>\n\n&nbsp;</pre>\n</div>\n</div>\n",
            "translatedTitle": "使每一列严格递增的最少操作次数",
            "translatedContent": "<p>给你一个由&nbsp;<b>非负&nbsp;</b>整数组成的 <code>m x n</code> 矩阵 <code>grid</code>。</p>\n\n<p>在一次操作中，你可以将任意元素 <code>grid[i][j]</code> 的值增加 1。</p>\n\n<p>返回使 <code>grid</code> 的所有列&nbsp;<strong>严格递增&nbsp;</strong>所需的&nbsp;<strong>最少&nbsp;</strong>操作次数。</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><strong>输入:</strong> <span class=\"example-io\">grid = [[3,2],[1,3],[3,4],[0,1]]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">15</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>为了让第 <code>0</code>&nbsp;列严格递增，可以对 <code>grid[1][0]</code> 执行 3 次操作，对 <code>grid[2][0]</code> 执行 2 次操作，对 <code>grid[3][0]</code> 执行 6 次操作。</li>\n\t<li>为了让第 <code>1</code>&nbsp;列严格递增，可以对 <code>grid[3][1]</code> 执行 4 次操作。</li>\n</ul>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/11/10/firstexample.png\" style=\"width: 200px; height: 347px;\" /></div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">grid = [[3,2,1],[2,1,0],[1,2,3]]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">12</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>为了让第 <code>0</code>&nbsp;列严格递增，可以对 <code>grid[1][0]</code> 执行 2 次操作，对 <code>grid[2][0]</code> 执行 4 次操作。</li>\n\t<li>为了让第 <code>1</code>&nbsp;列严格递增，可以对 <code>grid[1][1]</code> 执行 2 次操作，对 <code>grid[2][1]</code> 执行 2 次操作。</li>\n\t<li>为了让第 <code>2</code>&nbsp;列严格递增，可以对 <code>grid[1][2]</code> 执行 2 次操作。</li>\n</ul>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/11/10/secondexample.png\" style=\"width: 300px; height: 257px;\" /></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;= 50</code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt; 2500</code></li>\n</ul>\n",
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