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"question": {
"questionId": "1361",
"questionFrontendId": "1240",
"categoryTitle": "Algorithms",
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"title": "Tiling a Rectangle with the Fewest Squares",
"titleSlug": "tiling-a-rectangle-with-the-fewest-squares",
"content": "<p>Given a rectangle of size <code>n</code> x <code>m</code>, return <em>the minimum number of integer-sided squares that tile the rectangle</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2019/10/17/sample_11_1592.png\" style=\"width: 154px; height: 106px;\" /></p>\n\n<pre>\n<strong>Input:</strong> n = 2, m = 3\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> <code>3</code> squares are necessary to cover the rectangle.\n<code>2</code> (squares of <code>1x1</code>)\n<code>1</code> (square of <code>2x2</code>)</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2019/10/17/sample_22_1592.png\" style=\"width: 224px; height: 126px;\" /></p>\n\n<pre>\n<strong>Input:</strong> n = 5, m = 8\n<strong>Output:</strong> 5\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2019/10/17/sample_33_1592.png\" style=\"width: 224px; height: 189px;\" /></p>\n\n<pre>\n<strong>Input:</strong> n = 11, m = 13\n<strong>Output:</strong> 6\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n, m &lt;= 13</code></li>\n</ul>\n",
"translatedTitle": "铺瓷砖",
"translatedContent": "<p>你是一位施工队的工长,根据设计师的要求准备为一套设计风格独特的房子进行室内装修。</p>\n\n<p>房子的客厅大小为&nbsp;<code>n</code>&nbsp;x <code>m</code>,为保持极简的风格,需要使用尽可能少的 <strong>正方形</strong> 瓷砖来铺盖地面。</p>\n\n<p>假设正方形瓷砖的规格不限,边长都是整数。</p>\n\n<p>请你帮设计师计算一下,最少需要用到多少块方形瓷砖?</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/10/25/sample_11_1592.png\" style=\"height: 106px; width: 154px;\"></p>\n\n<pre><strong>输入:</strong>n = 2, m = 3\n<strong>输出:</strong>3\n<code><strong>解释:</strong>3</code> 块地砖就可以铺满卧室。\n<code> 2</code> 块 <code>1x1 地砖</code>\n<code> 1</code> 块 <code>2x2 地砖</code></pre>\n\n<p><strong>示例 2</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/10/25/sample_22_1592.png\" style=\"height: 126px; width: 224px;\"></p>\n\n<pre><strong>输入:</strong>n = 5, m = 8\n<strong>输出:</strong>5\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/10/25/sample_33_1592.png\" style=\"height: 189px; width: 224px;\"></p>\n\n<pre><strong>输入:</strong>n = 11, m = 13\n<strong>输出:</strong>6\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 13</code></li>\n\t<li><code>1 &lt;= m&nbsp;&lt;=&nbsp;13</code></li>\n</ul>\n",
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"Suppose you've placed a bunch of squares. Where is the natural spot to place the next square ?.",
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