61460c8601
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57 lines
1.1 KiB
Markdown
57 lines
1.1 KiB
Markdown
---
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id: 5900f47e1000cf542c50ff90
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challengeType: 5
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title: 'Problem 273: Sum of Squares'
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videoUrl: ''
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localeTitle: 问题273：正方形的总和
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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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testString: assert.strictEqual(euler273(), 2032447591196869000);
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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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/section>
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