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leetcode-problemset/算法题/maximum-side-length-of-a-square-with-sum-less-than-or-equal-to-threshold.json

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"title": "Maximum Side Length of a Square with Sum Less than or Equal to Threshold",
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"content": "<p>Given a <code>m x n</code> matrix <code>mat</code> and an integer <code>threshold</code>, return <em>the maximum side-length of a square with a sum less than or equal to </em><code>threshold</code><em> or return </em><code>0</code><em> if there is no such square</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2019/12/05/e1.png\" style=\"width: 335px; height: 186px;\" />\n<pre>\n<strong>Input:</strong> mat = [[1,1,3,2,4,3,2],[1,1,3,2,4,3,2],[1,1,3,2,4,3,2]], threshold = 4\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The maximum side length of square with sum less than 4 is 2 as shown.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> mat = [[2,2,2,2,2],[2,2,2,2,2],[2,2,2,2,2],[2,2,2,2,2],[2,2,2,2,2]], threshold = 1\n<strong>Output:</strong> 0\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == mat.length</code></li>\n\t<li><code>n == mat[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 300</code></li>\n\t<li><code>0 &lt;= mat[i][j] &lt;= 10<sup>4</sup></code></li>\n\t<li><code>0 &lt;= threshold &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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"Store prefix sum of all grids in another 2D array.",
"Try all possible solutions and if you cannot find one return -1.",
"If x is a valid answer then any y < x is also valid answer. Use binary search to find answer."
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