2018-10-10 18:03:03 -04:00
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---
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id: 5900f4ff1000cf542c510011
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challengeType: 5
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title: 'Problem 402: Integer-valued polynomials'
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videoUrl: ''
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localeTitle: 问题402：整数值多项式
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---
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## Description
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<section id="description">可以证明，对于每个整数n，多项式n4 + 4n3 + 2n2 + 5n是6的倍数。还可以显示6是满足该属性的最大整数。 <p>将M（a，b，c）定义为最大m，使得n4 + an3 + bn2 + cn是所有整数n的m的倍数。例如，M（4,2,5）= 6。 </p><p>此外，将S（N）定义为所有0 <a，b，c≤N的M（a，b，c）之和。 </p><p>我们可以验证S（10）= 1972和S（10000）= 2024258331114。 </p><p>设Fk为斐波纳契数列：对于k≥2，F0 = 0，F1 = 1且Fk = Fk-1 + Fk-2。 </p><p>求最高9位数为ΣS（Fk）为2≤k≤1234567890123。 </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>euler402()</code>应返回356019862。
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2020-02-18 01:40:55 +09:00
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testString: assert.strictEqual(euler402(), 356019862);
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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 euler402() {
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// Good luck!
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return true;
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}
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euler402();
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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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</section>
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