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leetcode-problemset/leetcode-cn/originData/max-sum-of-rectangle-no-larger-than-k.json
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"categoryTitle": "Algorithms",
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"title": "Max Sum of Rectangle No Larger Than K",
"titleSlug": "max-sum-of-rectangle-no-larger-than-k",
"content": "<p>Given an <code>m x n</code> matrix <code>matrix</code> and an integer <code>k</code>, return <em>the max sum of a rectangle in the matrix such that its sum is no larger than</em> <code>k</code>.</p>\n\n<p>It is <strong>guaranteed</strong> that there will be a rectangle with a sum no larger than <code>k</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/18/sum-grid.jpg\" style=\"width: 255px; height: 176px;\" />\n<pre>\n<strong>Input:</strong> matrix = [[1,0,1],[0,-2,3]], k = 2\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> Because the sum of the blue rectangle [[0, 1], [-2, 3]] is 2, and 2 is the max number no larger than k (k = 2).\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> matrix = [[2,2,-1]], k = 3\n<strong>Output:</strong> 3\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == matrix.length</code></li>\n\t<li><code>n == matrix[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 100</code></li>\n\t<li><code>-100 &lt;= matrix[i][j] &lt;= 100</code></li>\n\t<li><code>-10<sup>5</sup> &lt;= k &lt;= 10<sup>5</sup></code></li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Follow up:</strong> What if the number of rows is much larger than the number of columns?</p>\n",
"translatedTitle": "矩形区域不超过 K 的最大数值和",
"translatedContent": "<p>给你一个 <code>m x n</code> 的矩阵 <code>matrix</code> 和一个整数 <code>k</code> ,找出并返回矩阵内部矩形区域的不超过 <code>k</code> 的最大数值和。</p>\n\n<p>题目数据保证总会存在一个数值和不超过 <code>k</code> 的矩形区域。</p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/18/sum-grid.jpg\" style=\"width: 255px; height: 176px;\" />\n<pre>\n<strong>输入:</strong>matrix = [[1,0,1],[0,-2,3]], k = 2\n<strong>输出:</strong>2\n<strong>解释:</strong>蓝色边框圈出来的矩形区域 <code>[[0, 1], [-2, 3]]</code> 的数值和是 2且 2 是不超过 k 的最大数字k = 2。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>matrix = [[2,2,-1]], k = 3\n<strong>输出:</strong>3\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>m == matrix.length</code></li>\n\t<li><code>n == matrix[i].length</code></li>\n\t<li><code>1 <= m, n <= 100</code></li>\n\t<li><code>-100 <= matrix[i][j] <= 100</code></li>\n\t<li><code>-10<sup>5</sup> <= k <= 10<sup>5</sup></code></li>\n</ul>\n\n<p> </p>\n\n<p><strong>进阶:</strong>如果行数远大于列数,该如何设计解决方案?</p>\n",
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