2018-10-10 22:03:03 +00:00
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---
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id: 5900f47e1000cf542c50ff90
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challengeType: 5
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videoUrl: ''
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2020-10-01 15:54:21 +00:00
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title: 问题273:正方形的总和
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2018-10-10 22:03:03 +00:00
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---
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## Description
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<section id="description">考虑以下形式的方程:a2 + b2 = N,0≤a≤b,a,b和N整数。 <p>对于N = 65,有两种解决方案:a = 1,b = 8,a = 4,b = 7。我们将S(N)称为a2 + b2 = N,0≤a≤b,a,b和N整数的所有解的a的值之和。因此,S(65)= 1 + 4 = 5.找到ΣS(N),对于所有无平均N,只能被4k + 1形式的素数整除,其中4k + 1 <150。 </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>euler273()</code>应该返回2032447591196869000。
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2020-02-17 16:40:55 +00:00
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testString: assert.strictEqual(euler273(), 2032447591196869000);
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2018-10-10 22:03:03 +00:00
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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 euler273() {
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// Good luck!
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return true;
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}
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euler273();
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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 15:24:35 +00:00
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/section>
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