leetcode-problemset/leetcode-cn/originData/maximum-sum-with-at-most-k-elements.json

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            "questionId": "3764",
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            "categoryTitle": "Algorithms",
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            "title": "Maximum Sum With at Most K Elements",
            "titleSlug": "maximum-sum-with-at-most-k-elements",
            "content": "<p data-pm-slice=\"1 3 []\">You are given a 2D integer matrix <code>grid</code> of size <code>n x m</code>, an integer array <code>limits</code> of length <code>n</code>, and an integer <code>k</code>. The task is to find the <strong>maximum sum</strong> of <strong>at most</strong> <code>k</code> elements from the matrix <code>grid</code> such that:</p>\n\n<ul data-spread=\"false\">\n\t<li>\n\t<p>The number of elements taken from the <code>i<sup>th</sup></code> row of <code>grid</code> does not exceed <code>limits[i]</code>.</p>\n\t</li>\n</ul>\n\n<p data-pm-slice=\"1 1 []\">Return the <strong>maximum sum</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 = [[1,2],[3,4]], limits = [1,2], k = 2</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">7</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>From the second row, we can take at most 2 elements. The elements taken are 4 and 3.</li>\n\t<li>The maximum possible sum of at most 2 selected elements is <code>4 + 3 = 7</code>.</li>\n</ul>\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 = [[5,3,7],[8,2,6]], limits = [2,2], k = 3</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">21</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>From the first row, we can take at most 2 elements. The element taken is 7.</li>\n\t<li>From the second row, we can take at most 2 elements. The elements taken are 8 and 6.</li>\n\t<li>The maximum possible sum of at most 3 selected elements is <code>7 + 8 + 6 = 21</code>.</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == grid.length == limits.length</code></li>\n\t<li><code>m == grid[i].length</code></li>\n\t<li><code>1 &lt;= n, m &lt;= 500</code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= limits[i] &lt;= m</code></li>\n\t<li><code>0 &lt;= k &lt;= min(n * m, sum(limits))</code></li>\n</ul>\n",
            "translatedTitle": "提取至多 K 个元素的最大总和",
            "translatedContent": "<p data-pm-slice=\"1 3 []\">给你一个大小为 <code>n x m</code>&nbsp;的二维矩阵&nbsp;<code>grid</code>&nbsp;，以及一个长度为 <code>n</code>&nbsp;的整数数组&nbsp;<code>limits</code>&nbsp;，和一个整数&nbsp;<code>k</code>&nbsp;。你的目标是从矩阵 <code>grid</code> 中提取出&nbsp;<strong>至多</strong> <code>k</code>&nbsp;个元素，并计算这些元素的最大总和，提取时需满足以下限制<b>：</b></p>\n\n<ul data-spread=\"false\">\n\t<li>\n\t<p>从 <code>grid</code>&nbsp;的第 <code>i</code> 行提取的元素数量不超过 <code>limits[i]</code> 。</p>\n\t</li>\n</ul>\n\n<p data-pm-slice=\"1 1 []\">返回最大总和。</p>\n\n<p>&nbsp;</p>\n\n<p><b>示例 1：</b></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>grid = [[1,2],[3,4]], limits = [1,2], k = 2</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>7</span></p>\n\n<p><b>解释：</b></p>\n\n<ul>\n\t<li>从第 2 行提取至多 2 个元素，取出 4 和 3 。</li>\n\t<li>至多提取 2 个元素时的最大总和&nbsp;<code>4 + 3 = 7</code>&nbsp;。</li>\n</ul>\n</div>\n\n<p><b>示例 2：</b></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b></span><span class=\"example-io\">grid = [[5,3,7],[8,2,6]], limits = [2,2], k = 3</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b></span><span class=\"example-io\">21</span></p>\n\n<p><b>解释：</b></p>\n\n<ul>\n\t<li>从第 1&nbsp;行提取至多 2 个元素，取出 7 。</li>\n\t<li>从第 2 行提取至多 2 个元素，取出&nbsp;8 和 6 。</li>\n\t<li>至多提取 3&nbsp;个元素时的最大总和 <code>7 + 8 + 6 = 21</code>&nbsp;。</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n\n<p><b>提示：</b></p>\n\n<ul>\n\t<li><code>n == grid.length == limits.length</code></li>\n\t<li><code>m == grid[i].length</code></li>\n\t<li><code>1 &lt;= n, m &lt;= 500</code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= limits[i] &lt;= m</code></li>\n\t<li><code>0 &lt;= k &lt;= min(n * m, sum(limits))</code></li>\n</ul>\n",
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target=\\\"_blank\\\">\\u300c\\u4ed3\\u9889\\u7f16\\u7a0b\\u8bed\\u8a00\\u5f00\\u53d1\\u6307\\u5357\\u300d<\\/a><\\/p>\"]}",
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