2018-10-10 18:03:03 -04:00
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---
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id: 5900f54b1000cf542c51005d
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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479:崛起的根源
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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">设ak,bk和ck表示表达式1 / x =(k / x)2(k + x2)-kx的三个解(实数或复数)。 <p>例如,对于k = 5,我们看到{a5,b5,c5}约为{5.727244,-0.363622 + 2.057397i,-0.363622-2.057397i}。 </p><p>令所有整数p,k的S(n)=Σ(ak + bk)p(bk + ck)p(ck + ak)p,使得1≤p,k≤n。 </p><p>有趣的是,S(n)总是一个整数。例如,S(4)= 51160。 </p><p>求S(106)modulo 1 000 000 007。 </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>euler479()</code>应该返回191541795。
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2020-02-18 01:40:55 +09:00
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testString: assert.strictEqual(euler479(), 191541795);
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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 euler479() {
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// Good luck!
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return true;
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}
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euler479();
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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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