leetcode-problemset/leetcode-cn/originData/minimum-cuts-to-divide-a-circle.json

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            "questionId": "2575",
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            "title": "Minimum Cuts to Divide a Circle",
            "titleSlug": "minimum-cuts-to-divide-a-circle",
            "content": "<p>A <strong>valid cut</strong> in a circle can be:</p>\n\n<ul>\n\t<li>A cut that is represented by a straight line that touches two points on the edge of the circle and passes through its center, or</li>\n\t<li>A cut that is represented by a straight line that touches one point on the edge of the circle and its center.</li>\n</ul>\n\n<p>Some valid and invalid cuts are shown in the figures below.</p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/10/29/alldrawio.png\" style=\"width: 450px; height: 174px;\" />\n<p>Given the integer <code>n</code>, return <em>the <strong>minimum</strong> number of cuts needed to divide a circle into </em><code>n</code><em> equal slices</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/10/24/11drawio.png\" style=\"width: 200px; height: 200px;\" />\n<pre>\n<strong>Input:</strong> n = 4\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> \nThe above figure shows how cutting the circle twice through the middle divides it into 4 equal slices.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/10/24/22drawio.png\" style=\"width: 200px; height: 201px;\" />\n<pre>\n<strong>Input:</strong> n = 3\n<strong>Output:</strong> 3\n<strong>Explanation:</strong>\nAt least 3 cuts are needed to divide the circle into 3 equal slices. \nIt can be shown that less than 3 cuts cannot result in 3 slices of equal size and shape.\nAlso note that the first cut will not divide the circle into distinct parts.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 100</code></li>\n</ul>\n",
            "translatedTitle": "分割圆的最少切割次数",
            "translatedContent": "<p>圆内一个 <strong>有效切割</strong>&nbsp;，符合以下二者之一：</p>\n\n<ul>\n\t<li>该切割是两个端点在圆上的线段，且该线段经过圆心。</li>\n\t<li>该切割是一端在圆心另一端在圆上的线段。</li>\n</ul>\n\n<p>一些有效和无效的切割如下图所示。</p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/10/29/alldrawio.png\" style=\"width: 450px; height: 174px;\" /></p>\n\n<p>给你一个整数&nbsp;<code>n</code>&nbsp;，请你返回将圆切割成相等的&nbsp;<code>n</code>&nbsp;等分的&nbsp;<strong>最少</strong>&nbsp;切割次数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/10/24/11drawio.png\" style=\"width: 200px; height: 200px;\" /></p>\n\n<pre>\n<b>输入：</b>n = 4\n<b>输出：</b>2\n<b>解释：</b>\n上图展示了切割圆 2 次，得到四等分。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/10/24/22drawio.png\" style=\"width: 200px; height: 201px;\" /></p>\n\n<pre>\n<b>输入：</b>n = 3\n<b>输出：</b>3\n<strong>解释：</strong>\n最少需要切割 3 次，将圆切成三等分。\n少于 3 次切割无法将圆切成大小相等面积相同的 3 等分。\n同时可以观察到，第一次切割无法将圆切割开。\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;= 100</code></li>\n</ul>\n",
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