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leetcode-problemset/leetcode-cn/originData/vowels-game-in-a-string.json
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{
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"question": {
"questionId": "3462",
"questionFrontendId": "3227",
"categoryTitle": "Algorithms",
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"title": "Vowels Game in a String",
"titleSlug": "vowels-game-in-a-string",
"content": "<p>Alice and Bob are playing a game on a string.</p>\n\n<p>You are given a string <code>s</code>, Alice and Bob will take turns playing the following game where Alice starts <strong>first</strong>:</p>\n\n<ul>\n\t<li>On Alice&#39;s turn, she has to remove any <strong>non-empty</strong> <span data-keyword=\"substring\">substring</span> from <code>s</code> that contains an <strong>odd</strong> number of vowels.</li>\n\t<li>On Bob&#39;s turn, he has to remove any <strong>non-empty</strong> <span data-keyword=\"substring\">substring</span> from <code>s</code> that contains an <strong>even</strong> number of vowels.</li>\n</ul>\n\n<p>The first player who cannot make a move on their turn loses the game. We assume that both Alice and Bob play <strong>optimally</strong>.</p>\n\n<p>Return <code>true</code> if Alice wins the game, and <code>false</code> otherwise.</p>\n\n<p>The English vowels are: <code>a</code>, <code>e</code>, <code>i</code>, <code>o</code>, and <code>u</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">s = &quot;leetcoder&quot;</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>Explanation:</strong><br />\nAlice can win the game as follows:</p>\n\n<ul>\n\t<li>Alice plays first, she can delete the underlined substring in <code>s = &quot;<u><strong>leetco</strong></u>der&quot;</code> which contains 3 vowels. The resulting string is <code>s = &quot;der&quot;</code>.</li>\n\t<li>Bob plays second, he can delete the underlined substring in <code>s = &quot;<u><strong>d</strong></u>er&quot;</code> which contains 0 vowels. The resulting string is <code>s = &quot;er&quot;</code>.</li>\n\t<li>Alice plays third, she can delete the whole string <code>s = &quot;<strong><u>er</u></strong>&quot;</code> which contains 1 vowel.</li>\n\t<li>Bob plays fourth, since the string is empty, there is no valid play for Bob. So Alice wins the game.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">s = &quot;bbcd&quot;</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">false</span></p>\n\n<p><strong>Explanation:</strong><br />\nThere is no valid play for Alice in her first turn, so Alice loses the game.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>s</code> consists only of lowercase English letters.</li>\n</ul>\n",
"translatedTitle": "字符串元音游戏",
"translatedContent": "<p>小红和小明在玩一个字符串元音游戏。</p>\n\n<p>给你一个字符串 <code>s</code>,小红和小明将轮流参与游戏,小红<strong> 先 </strong>开始:</p>\n\n<ul>\n\t<li>在小红的回合,她必须移除 <code>s</code> 中包含 <strong>奇数 </strong>个元音的任意 <strong>非空</strong> <span data-keyword=\"substring\">子字符串</span>。</li>\n\t<li>在小明的回合,他必须移除 <code>s</code> 中包含 <strong>偶数 </strong>个元音的任意 <strong>非空</strong> <span data-keyword=\"substring\">子字符串</span>。</li>\n</ul>\n\n<p>第一个无法在其回合内进行移除操作的玩家输掉游戏。假设小红和小明都采取 <strong>最优策略 </strong>。</p>\n\n<p>如果小红赢得游戏,返回 <code>true</code>,否则返回 <code>false</code>。</p>\n\n<p>英文元音字母包括:<code>a</code>, <code>e</code>, <code>i</code>, <code>o</code>, 和 <code>u</code>。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">s = \"leetcoder\"</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>解释:</strong><br />\n小红可以执行如下移除操作来赢得游戏</p>\n\n<ul>\n\t<li>小红先手,她可以移除加下划线的子字符串 <code>s = \"<u><strong>leetco</strong></u>der\"</code>,其中包含 3 个元音。结果字符串为 <code>s = \"der\"</code>。</li>\n\t<li>小明接着,他可以移除加下划线的子字符串 <code>s = \"<u><strong>d</strong></u>er\"</code>,其中包含 0 个元音。结果字符串为 <code>s = \"er\"</code>。</li>\n\t<li>小红再次操作,她可以移除整个字符串 <code>s = \"<strong><u>er</u></strong>\"</code>,其中包含 1 个元音。</li>\n\t<li>又轮到小明,由于字符串为空,无法执行移除操作,因此小红赢得游戏。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">s = \"bbcd\"</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">false</span></p>\n\n<p><strong>解释:</strong><br />\n小红在她的第一回合无法执行移除操作因此小红输掉了游戏。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>s</code> 仅由小写英文字母组成。</li>\n</ul>\n",
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"If there are no vowels in the initial string, then Bob wins.",
"If the number of vowels in the initial string is odd, then Alice can remove the whole string on her first turn and win.",
"What if the number of vowels in the initial string is even? Whats the optimal play for Alices first turn?"
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