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"categoryTitle": "Algorithms",
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"title": "Stone Game IV",
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"content": "<p>Alice and Bob take turns playing a game, with Alice starting first.</p>\n\n<p>Initially, there are <code>n</code> stones in a pile. On each player&#39;s turn, that player makes a <em>move</em> consisting of removing <strong>any</strong> non-zero <strong>square number</strong> of stones in the pile.</p>\n\n<p>Also, if a player cannot make a move, he/she loses the game.</p>\n\n<p>Given a positive integer <code>n</code>, return <code>true</code> if and only if Alice wins the game otherwise return <code>false</code>, assuming both players play optimally.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1\n<strong>Output:</strong> true\n<strong>Explanation: </strong>Alice can remove 1 stone winning the game because Bob doesn&#39;t have any moves.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2\n<strong>Output:</strong> false\n<strong>Explanation: </strong>Alice can only remove 1 stone, after that Bob removes the last one winning the game (2 -&gt; 1 -&gt; 0).\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 4\n<strong>Output:</strong> true\n<strong>Explanation:</strong> n is already a perfect square, Alice can win with one move, removing 4 stones (4 -&gt; 0).\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
"translatedTitle": "石子游戏 IV",
"translatedContent": "<p>Alice 和 Bob 两个人轮流玩一个游戏Alice 先手。</p>\n\n<p>一开始,有 <code>n</code>&nbsp;个石子堆在一起。每个人轮流操作,正在操作的玩家可以从石子堆里拿走 <strong>任意</strong>&nbsp;非零 <strong>平方数</strong>&nbsp;个石子。</p>\n\n<p>如果石子堆里没有石子了,则无法操作的玩家输掉游戏。</p>\n\n<p>给你正整数&nbsp;<code>n</code>&nbsp;,且已知两个人都采取最优策略。如果 Alice 会赢得比赛,那么返回&nbsp;<code>True</code>&nbsp;,否则返回&nbsp;<code>False</code>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 1\n<strong>输出:</strong>true\n<strong>解释:</strong>Alice 拿走 1 个石子并赢得胜利,因为 Bob 无法进行任何操作。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 2\n<strong>输出:</strong>false\n<strong>解释:</strong>Alice 只能拿走 1 个石子,然后 Bob 拿走最后一个石子并赢得胜利2 -&gt; 1 -&gt; 0。</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 4\n<strong>输出:</strong>true\n<strong>解释:</strong>n 已经是一个平方数Alice 可以一次全拿掉 4 个石子并赢得胜利4 -&gt; 0。\n</pre>\n\n<p><strong>示例 4</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 7\n<strong>输出:</strong>false\n<strong>解释:</strong>当 Bob 采取最优策略时Alice 无法赢得比赛。\n如果 Alice 一开始拿走 4 个石子, Bob 会拿走 1 个石子,然后 Alice 只能拿走 1 个石子Bob 拿走最后一个石子并赢得胜利7 -&gt; 3 -&gt; 2 -&gt; 1 -&gt; 0。\n如果 Alice 一开始拿走 1 个石子, Bob 会拿走 4 个石子,然后 Alice 只能拿走 1 个石子Bob 拿走最后一个石子并赢得胜利7 -&gt; 6 -&gt; 2 -&gt; 1 -&gt; 0。</pre>\n\n<p><strong>示例 5</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 17\n<strong>输出:</strong>false\n<strong>解释:</strong>如果 Bob 采取最优策略Alice 无法赢得胜利。\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;= 10^5</code></li>\n</ul>\n",
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