mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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186 lines
21 KiB
JSON
186 lines
21 KiB
JSON
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"questionId": "292",
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"title": "Nim Game",
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"content": "<p>You are playing the following Nim Game with your friend:</p>\n\n<ul>\n\t<li>Initially, there is a heap of stones on the table.</li>\n\t<li>You and your friend will alternate taking turns, and <strong>you go first</strong>.</li>\n\t<li>On each turn, the person whose turn it is will remove 1 to 3 stones from the heap.</li>\n\t<li>The one who removes the last stone is the winner.</li>\n</ul>\n\n<p>Given <code>n</code>, the number of stones in the heap, return <code>true</code><em> if you can win the game assuming both you and your friend play optimally, otherwise return </em><code>false</code>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 4\n<strong>Output:</strong> false\n<strong>Explanation:</strong> These are the possible outcomes:\n1. You remove 1 stone. Your friend removes 3 stones, including the last stone. Your friend wins.\n2. You remove 2 stones. Your friend removes 2 stones, including the last stone. Your friend wins.\n3. You remove 3 stones. Your friend removes the last stone. Your friend wins.\nIn all outcomes, your friend wins.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1\n<strong>Output:</strong> true\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2\n<strong>Output:</strong> true\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 2<sup>31</sup> - 1</code></li>\n</ul>\n",
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"translatedTitle": "Nim 游戏",
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"translatedContent": "<p>你和你的朋友,两个人一起玩 <a href=\"https://baike.baidu.com/item/Nim游戏/6737105\" target=\"_blank\">Nim 游戏</a>:</p>\n\n<ul>\n\t<li>桌子上有一堆石头。</li>\n\t<li>你们轮流进行自己的回合, <strong>你作为先手 </strong>。</li>\n\t<li>每一回合,轮到的人拿掉 1 - 3 块石头。</li>\n\t<li>拿掉最后一块石头的人就是获胜者。</li>\n</ul>\n\n<p>假设你们每一步都是最优解。请编写一个函数,来判断你是否可以在给定石头数量为 <code>n</code> 的情况下赢得游戏。如果可以赢,返回 <code>true</code>;否则,返回 <code>false</code> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<strong>输入:</strong><code>n = 4</code>\n<strong>输出:</strong>false \n<strong>解释:</strong>以下是可能的结果:\n1. 移除1颗石头。你的朋友移走了3块石头,包括最后一块。你的朋友赢了。\n2. 移除2个石子。你的朋友移走2块石头,包括最后一块。你的朋友赢了。\n3.你移走3颗石子。你的朋友移走了最后一块石头。你的朋友赢了。\n在所有结果中,你的朋友是赢家。\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 1\n<strong>输出:</strong>true\n</pre>\n\n<p><strong>示例 3:</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 2\n<strong>输出:</strong>true\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 2<sup>31</sup> - 1</code></li>\n</ul>\n",
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