ee1e8abd87
* feat(tools): add seed/solution restore script * chore(curriculum): remove empty sections' markers * chore(curriculum): add seed + solution to Chinese * chore: remove old formatter * fix: update getChallenges parse translated challenges separately, without reference to the source * chore(curriculum): add dashedName to English * chore(curriculum): add dashedName to Chinese * refactor: remove unused challenge property 'name' * fix: relax dashedName requirement * fix: stray tag Remove stray `pre` tag from challenge file. Signed-off-by: nhcarrigan <nhcarrigan@gmail.com> Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
39 lines
1.1 KiB
Markdown
39 lines
1.1 KiB
Markdown
---
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id: 5900f4201000cf542c50ff33
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title: 问题180：三个变量函数的有理零点
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challengeType: 5
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videoUrl: ''
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dashedName: problem-180-rational-zeros-of-a-function-of-three-variables
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---
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# --description--
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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。
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# --hints--
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`euler180()`应该返回285196020571078980。
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```js
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assert.strictEqual(euler180(), 285196020571078980);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler180() {
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return true;
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}
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euler180();
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```
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# --solutions--
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```js
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// solution required
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```
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