56 lines
1.5 KiB
Markdown
56 lines
1.5 KiB
Markdown
---
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id: 5900f4201000cf542c50ff33
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challengeType: 5
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title: 'Problem 180: Rational zeros of a function of three variables'
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videoUrl: ''
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localeTitle: 问题180:三个变量函数的有理零点
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---
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## Description
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<section id="description">对于任何整数n,考虑三个函数f1,n(x,y,z)= xn + 1 + yn + 1 - zn + 1f2,n(x,y,z)=(xy + yz + zx)*( xn-1 + yn-1-zn-1)f3,n(x,y,z)= xyz *(xn-2 + yn-2-zn-2)及其组合fn(x,y,z)= f1,n(x,y,z)+ f2,n(x,y,z) - f3,n(x,y,z)如果是x,我们将(x,y,z)称为k阶的黄金三元组, y和z都是形式为a / b的有理数,0 <a <b≤k且存在(至少)一个整数n,因此fn(x,y,z)= 0.设s(x ,y,z)= x + y + z。设t = u / v是所有不同s(x,y,z)的所有黄金三元组(x,y,z)的总和。所有s(x,y,z)和t必须在减少形式。找到你+ v。 </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>euler180()</code>应该返回285196020571078980。
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testString: 'assert.strictEqual(euler180(), 285196020571078980, "<code>euler180()</code> should return 285196020571078980.");'
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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 euler180() {
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// Good luck!
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return true;
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}
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euler180();
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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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