2018-10-10 18:03:03 -04:00
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---
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id: 5900f4be1000cf542c50ffd0
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challengeType: 5
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videoUrl: ''
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2020-10-01 17:54:21 +02:00
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title: 问题337欧拉序列阶梯
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2018-10-10 18:03:03 -04:00
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---
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## Description
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<section id="description">令{a1,a2,...,an}为长度为n的整数序列,使得:a1 = 6,对于所有1≤i<n:φ(ai)<φ(ai + 1)<ai <ai + 11令S(N)为具有≤N的这种序列的数目。例如,S(10)= 4:{6},{6,8},{6,8,9}和{6,10}。我们可以验证S(100)= 482073668和S(10 000)mod 108 = 73808307。 <p>找到S(20 000 000)mod 108。 </p><p> 1φ表示欧拉的函数。 </p></section>
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## Instructions
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<section id="instructions">
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler337()</code>应该返回85068035。
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2020-02-18 01:40:55 +09:00
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testString: assert.strictEqual(euler337(), 85068035);
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2018-10-10 18:03:03 -04:00
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler337() {
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// Good luck!
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return true;
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}
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euler337();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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2020-08-13 17:24:35 +02:00
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/section>
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