40 lines
2.2 KiB
Markdown
40 lines
2.2 KiB
Markdown
---
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id: 59da22823d04c95919d46269
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title: 水手,椰子和猴子问题
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challengeType: 5
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videoUrl: ''
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---
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# --description--
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<p>五名水手在岛上遭遇海难,并在白天收集了一大堆椰子。 </p><p>那天晚上,第一个水手醒来并决定早点拿走他的第一份,所以试图将一堆椰子平分成五堆,但发现剩下一个椰子,所以他把它扔到一只猴子然后隐藏“他的”五个同样大小的椰子堆中的一个,并将其他四个桩推到一起,再次形成一堆可见的椰子并上床睡觉。 </p><p>长话短说,每个水手轮流在夜间起床,并执行将椰子堆分成五个的相同动作,发现剩下一个椰子并将剩下的椰子留给猴子。 </p><p>在早上(在夜间五个水手的暗中和分开行动之后),剩下的椰子被分成五个相等的堆,每个水手,然后发现一堆椰子在水手之间平分没有余数。 (早上猴子没什么。) </p><p>任务: </p><pre> <code> Create a function that returns the the minimum possible size of the initial pile of coconuts collected during the day for N sailors.</code> </pre><p>注意: </p><pre> <code> Of course the tale is told in a world where the collection of any amount of coconuts in a day and multiple divisions of the pile, etc can occur in time fitting the story line, so as not to affect the mathematics.</code> </pre><p> CF卡: </p><p> <a href='https://www.youtube.com/watch?v=U9qU20VmvaU' title='链接:https://www.youtube.com/watch?v = U9qU20VmvaU'>猴子和椰子 - Numberphile</a> (视频)分析解决方案。 </p><pre> <code> <a href="http://oeis.org/A002021" title="link: http://oeis.org/A002021">A002021 Pile of coconuts problem</a> The On-Line Encyclopedia of Integer Sequences. (Although some of its references may use the alternate form of the tale).</code> </pre>
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# --hints--
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`splitCoconuts`是一个函数。
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```js
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assert(typeof splitCoconuts === 'function');
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```
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`splitCoconuts(5)`应该返回3121。
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```js
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assert(splitCoconuts(5) === 3121);
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```
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`splitCoconuts(6)`应返回233275。
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```js
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assert(splitCoconuts(6) === 233275);
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```
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`splitCoconuts(7)`应该返回823537。
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```js
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assert(splitCoconuts(7) === 823537);
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```
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# --solutions--
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