2018-10-10 18:03:03 -04:00
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---
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id: 5900f4a51000cf542c50ffb7
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2020-12-16 00:37:30 -07:00
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title: 问题312:Sierpiński图上的循环路径
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2018-10-10 18:03:03 -04:00
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challengeType: 5
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videoUrl: ''
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2021-01-13 03:31:00 +01:00
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dashedName: problem-312-cyclic-paths-on-sierpiski-graphs
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2018-10-10 18:03:03 -04:00
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---
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2020-12-16 00:37:30 -07:00
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# --description--
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2020-02-18 01:40:55 +09:00
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2020-12-16 00:37:30 -07:00
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\-1阶(S1)的Sierpiński图是等边三角形。
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2020-02-18 01:40:55 +09:00
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2020-12-16 00:37:30 -07:00
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\-通过将Sn的三个副本放置在Sn上,从而使每对副本都有一个公共角,从而从Sn中获得Sn +1。
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2020-02-18 01:40:55 +09:00
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2020-12-16 00:37:30 -07:00
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令C(n)为恰好一次通过Sn的所有顶点的循环数。 例如,C(3)= 8,因为可以在S3上绘制八个这样的循环,如下所示:
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2020-02-18 01:40:55 +09:00
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2020-12-16 00:37:30 -07:00
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也可以验证: C(1)= C(2)= 1 C(5)= 71328803586048 C(10,000)mod 108 = 37652224 C(10,000)模138 = 617720485
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2020-02-18 01:40:55 +09:00
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求C(C(C(10,000))mod 138。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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# --hints--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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`euler312()`应该返回324681947。
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2018-10-10 18:03:03 -04:00
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```js
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2020-12-16 00:37:30 -07:00
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assert.strictEqual(euler312(), 324681947);
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2018-10-10 18:03:03 -04:00
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```
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2021-01-13 03:31:00 +01:00
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# --seed--
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## --seed-contents--
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```js
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function euler312() {
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return true;
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}
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euler312();
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```
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2020-12-16 00:37:30 -07:00
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# --solutions--
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2020-08-13 17:24:35 +02:00
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2021-01-13 03:31:00 +01:00
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```js
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// solution required
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```
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