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leetcode-problemset/leetcode-cn/originData/tiling-a-rectangle-with-the-fewest-squares.json
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{
"data": {
"question": {
"questionId": "1361",
"questionFrontendId": "1240",
"categoryTitle": "Algorithms",
"boundTopicId": 37347,
"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>给定一个大小为&nbsp;<code>n</code>&nbsp;x&nbsp;<code>m</code>&nbsp;的长方形,返回贴满矩形所需的整数边正方形的最小数量。</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>\n<strong>输入:</strong>n = 2, m = 3\n<strong>输出:</strong>3\n<code><strong>解释:</strong>需要<strong> </strong>3</code> 个正方形来覆盖长方形。\n<code> 2</code> 个 <code>1x1 的正方形</code>\n<code> 1</code> 个 <code>2x2 的正方形</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>\n<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>\n<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, m &lt;= 13</code></li>\n</ul>\n",
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"hints": [
"Can you use backtracking to solve this problem ?.",
"Suppose you've placed a bunch of squares. Where is the natural spot to place the next square ?.",
"The maximum number of squares to be placed will be ≤ max(n,m)."
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