2018-10-10 22:03:03 +00:00
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---
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id: 5900f4bd1000cf542c50ffce
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2020-12-16 07:37:30 +00:00
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title: 问题335:收集豆子
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2018-10-10 22:03:03 +00:00
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challengeType: 5
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videoUrl: ''
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2021-01-13 02:31:00 +00:00
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dashedName: problem-335-gathering-the-beans
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2018-10-10 22:03:03 +00:00
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---
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2020-12-16 07:37:30 +00:00
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# --description--
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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每当彼得感到无聊时,他都会放一些碗,每个碗里都放一个豆子。在此之后,他将所有的豆子从一个碗中取出,然后顺时针将它们逐一放入碗中。他重复这一点,从碗里开始扔掉最后一根豆子,直到最初的情况再次出现。例如,有5个碗,他的行为如下:
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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所以有5个碗需要Peter 15的动作才能恢复到初始状态。
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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设M(x)表示从x碗开始返回初始状态所需的移动次数。因此,M(5)= 15.还可以证实M(100)= 10920。
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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找到M(2k + 1)。给出你的答案模数79。
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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# --hints--
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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`euler335()`应返回5032316。
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2018-10-10 22:03:03 +00:00
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```js
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2020-12-16 07:37:30 +00:00
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assert.strictEqual(euler335(), 5032316);
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2018-10-10 22:03:03 +00:00
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```
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2021-01-13 02:31:00 +00:00
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# --seed--
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## --seed-contents--
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```js
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function euler335() {
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return true;
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}
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euler335();
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```
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2020-12-16 07:37:30 +00:00
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# --solutions--
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2020-08-13 15:24:35 +00:00
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2021-01-13 02:31:00 +00:00
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```js
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// solution required
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```
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