mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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175 lines
16 KiB
JSON
175 lines
16 KiB
JSON
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"title": "Find the Winner of the Circular Game",
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"content": "<p>There are <code>n</code> friends that are playing a game. The friends are sitting in a circle and are numbered from <code>1</code> to <code>n</code> in <strong>clockwise order</strong>. More formally, moving clockwise from the <code>i<sup>th</sup></code> friend brings you to the <code>(i+1)<sup>th</sup></code> friend for <code>1 <= i < n</code>, and moving clockwise from the <code>n<sup>th</sup></code> friend brings you to the <code>1<sup>st</sup></code> friend.</p>\r\n\r\n<p>The rules of the game are as follows:</p>\r\n\r\n<ol>\r\n\t<li><strong>Start</strong> at the <code>1<sup>st</sup></code> friend.</li>\r\n\t<li>Count the next <code>k</code> friends in the clockwise direction <strong>including</strong> the friend you started at. The counting wraps around the circle and may count some friends more than once.</li>\r\n\t<li>The last friend you counted leaves the circle and loses the game.</li>\r\n\t<li>If there is still more than one friend in the circle, go back to step <code>2</code> <strong>starting</strong> from the friend <strong>immediately clockwise</strong> of the friend who just lost and repeat.</li>\r\n\t<li>Else, the last friend in the circle wins the game.</li>\r\n</ol>\r\n\r\n<p>Given the number of friends, <code>n</code>, and an integer <code>k</code>, return <em>the winner of the game</em>.</p>\r\n\r\n<p> </p>\r\n<p><strong>Example 1:</strong></p>\r\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/25/ic234-q2-ex11.png\" style=\"width: 500px; height: 345px;\" />\r\n<pre>\r\n<strong>Input:</strong> n = 5, k = 2\r\n<strong>Output:</strong> 3\r\n<strong>Explanation:</strong> Here are the steps of the game:\r\n1) Start at friend 1.\r\n2) Count 2 friends clockwise, which are friends 1 and 2.\r\n3) Friend 2 leaves the circle. Next start is friend 3.\r\n4) Count 2 friends clockwise, which are friends 3 and 4.\r\n5) Friend 4 leaves the circle. Next start is friend 5.\r\n6) Count 2 friends clockwise, which are friends 5 and 1.\r\n7) Friend 1 leaves the circle. Next start is friend 3.\r\n8) Count 2 friends clockwise, which are friends 3 and 5.\r\n9) Friend 5 leaves the circle. Only friend 3 is left, so they are the winner.</pre>\r\n\r\n<p><strong>Example 2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> n = 6, k = 5\r\n<strong>Output:</strong> 1\r\n<strong>Explanation:</strong> The friends leave in this order: 5, 4, 6, 2, 3. The winner is friend 1.\r\n</pre>\r\n\r\n<p> </p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>1 <= k <= n <= 500</code></li>\r\n</ul>",
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"Simulate the process.",
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"Maintain in a circular list the people who are still in the circle and the current person you are standing at.",
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"In each turn, count k people and remove the last person from the list."
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