2018-10-10 18:03:03 -04:00
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---
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id: 5900f4041000cf542c50ff17
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2020-12-16 00:37:30 -07:00
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title: 问题152:将一半写为倒数平方和
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2018-10-10 18:03:03 -04:00
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challengeType: 5
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videoUrl: ''
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2021-01-13 03:31:00 +01:00
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dashedName: problem-152-writing-one-half-as-a-sum-of-inverse-squares
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2018-10-10 18:03:03 -04:00
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---
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2020-12-16 00:37:30 -07:00
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# --description--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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有几种方法可以使用不同的整数将数字1/2写成反平方和。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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例如,可以使用数字{2,3,4,5,7,12,15,20,28,35}:
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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实际上,仅使用2到45之间的整数(包括2和45),完全可以通过三种方式来实现,其余两种方式是:{2,3,4,6,7,9,10,20,28,35,36,45 }和{2,3,4,6,7,9,12,15,28,30,35,36,45}。 使用2到80之间(含2和80)的不同整数,有多少种方法可以将数字1/2写成反平方和?
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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# --hints--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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<code>euler152()</ code>应该返回301。
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2018-10-10 18:03:03 -04:00
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```js
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2020-12-16 00:37:30 -07:00
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assert.strictEqual(euler152(), 301);
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2018-10-10 18:03:03 -04:00
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```
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2021-01-13 03:31:00 +01:00
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# --seed--
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## --seed-contents--
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```js
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function euler152() {
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return true;
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}
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euler152();
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```
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2020-12-16 00:37:30 -07:00
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# --solutions--
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2020-08-13 17:24:35 +02:00
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2021-01-13 03:31:00 +01:00
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```js
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// solution required
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```
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