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leetcode-problemset/leetcode-cn/originData/find-the-winning-player-in-coin-game.json
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{
"data": {
"question": {
"questionId": "3511",
"questionFrontendId": "3222",
"categoryTitle": "Algorithms",
"boundTopicId": 2849093,
"title": "Find the Winning Player in Coin Game",
"titleSlug": "find-the-winning-player-in-coin-game",
"content": "<p>You are given two <strong>positive</strong> integers <code>x</code> and <code>y</code>, denoting the number of coins with values 75 and 10 <em>respectively</em>.</p>\n\n<p>Alice and Bob are playing a game. Each turn, starting with <strong>Alice</strong>, the player must pick up coins with a <strong>total</strong> value 115. If the player is unable to do so, they <strong>lose</strong> the game.</p>\n\n<p>Return the <em>name</em> of the player who wins the game if both players play <strong>optimally</strong>.</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\">x = 2, y = 7</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">&quot;Alice&quot;</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The game ends in a single turn:</p>\n\n<ul>\n\t<li>Alice picks 1 coin with a value of 75 and 4 coins with a value of 10.</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\">x = 4, y = 11</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">&quot;Bob&quot;</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The game ends in 2 turns:</p>\n\n<ul>\n\t<li>Alice picks 1 coin with a value of 75 and 4 coins with a value of 10.</li>\n\t<li>Bob picks 1 coin with a value of 75 and 4 coins with a value of 10.</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= x, y &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "求出硬币游戏的赢家",
"translatedContent": "<p>给你两个 <strong>正</strong>&nbsp;整数&nbsp;<code>x</code>&nbsp;和&nbsp;<code>y</code>&nbsp;,分别表示价值为 75 和 10 的硬币的数目。</p>\n\n<p>Alice 和 Bob 正在玩一个游戏。每一轮中Alice&nbsp;先进行操作Bob 后操作。每次操作中,玩家需要拿出价值 <b>总和</b>&nbsp;为 115 的硬币。如果一名玩家无法执行此操作,那么这名玩家 <strong>输掉</strong>&nbsp;游戏。</p>\n\n<p>两名玩家都采取 <strong>最优</strong>&nbsp;策略,请你返回游戏的赢家。</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><span class=\"example-io\"><b>输入:</b>x = 2, y = 7</span></p>\n\n<p><span class=\"example-io\"><b>输出:</b>\"Alice\"</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>游戏一次操作后结束:</p>\n\n<ul>\n\t<li>Alice 拿走 1 枚价值为 75 的硬币和 4 枚价值为 10 的硬币。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入:</b>x = 4, y = 11</span></p>\n\n<p><span class=\"example-io\"><b>输出:</b>\"Bob\"</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>游戏 2 次操作后结束:</p>\n\n<ul>\n\t<li>Alice 拿走&nbsp;1 枚价值为 75 的硬币和 4 枚价值为 10 的硬币。</li>\n\t<li>Bob 拿走&nbsp;1 枚价值为 75 的硬币和 4 枚价值为 10 的硬币。</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= x, y &lt;= 100</code></li>\n</ul>\n",
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"The only way to make 115 is to use one coin of value 75 and four coins of value 10. Each turn uses up these many coins.",
"Hence the number of turns is <code>min(x, y / 4)</code>.",
"Determine the winner from its parity."
],
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