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leetcode-problemset/leetcode-cn/originData/mirror-reflection.json
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"question": {
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"categoryTitle": "Algorithms",
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"title": "Mirror Reflection",
"titleSlug": "mirror-reflection",
"content": "<p>There is a special square room with mirrors on each of the four walls. Except for the southwest corner, there are receptors on each of the remaining corners, numbered <code>0</code>, <code>1</code>, and <code>2</code>.</p>\n\n<p>The square room has walls of length <code>p</code>&nbsp;and a laser ray from the southwest corner first meets the east wall at a distance <code>q</code> from the <code>0<sup>th</sup></code> receptor.</p>\n\n<p>Given the two integers <code>p</code> and <code>q</code>, return <em>the number of the receptor that the ray meets first</em>.</p>\n\n<p>The test cases are guaranteed so that the ray will meet a receptor eventually.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://s3-lc-upload.s3.amazonaws.com/uploads/2018/06/18/reflection.png\" style=\"width: 218px; height: 217px;\" />\n<pre>\n<strong>Input:</strong> p = 2, q = 1\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The ray meets receptor 2 the first time it gets reflected back to the left wall.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> p = 3, q = 1\n<strong>Output:</strong> 1\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= q &lt;= p &lt;= 1000</code></li>\n</ul>\n",
"translatedTitle": "镜面反射",
"translatedContent": "<p>有一个特殊的正方形房间,每面墙上都有一面镜子。除西南角以外,每个角落都放有一个接受器,编号为 <code>0</code> <code>1</code>,以及 <code>2</code>。</p>\n\n<p>正方形房间的墙壁长度为 <code>p</code>,一束激光从西南角射出,首先会与东墙相遇,入射点到接收器 <code>0</code> 的距离为 <code>q</code> 。</p>\n\n<p>返回光线最先遇到的接收器的编号(保证光线最终会遇到一个接收器)。</p>\n\n<p> </p>\n\n<p><strong>示例:</strong></p>\n\n<pre>\n<strong>输入: </strong>p = 2, q = 1\n<strong>输出: </strong>2\n<strong>解释: </strong>这条光线在第一次被反射回左边的墙时就遇到了接收器 2 。\n<img alt=\"\" src=\"https://aliyun-lc-upload.oss-cn-hangzhou.aliyuncs.com/aliyun-lc-upload/uploads/2018/06/22/reflection.png\" style=\"height: 217px; width: 218px;\" /></pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= p <= 1000</code></li>\n\t<li><code>0 <= q <= p</code></li>\n</ul>\n",
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"code": "class Solution {\npublic:\n int mirrorReflection(int p, int q) {\n\n }\n};",
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"code": "class Solution(object):\n def mirrorReflection(self, p, q):\n \"\"\"\n :type p: int\n :type q: int\n :rtype: int\n \"\"\"",
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