2018-10-10 18:03:03 -04:00
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---
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id: 5900f4521000cf542c50ff64
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challengeType: 5
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title: 'Problem 229: Four Representations using Squares'
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videoUrl: ''
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localeTitle: 问题229：使用正方形的四个表示
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---
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## Description
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<section id="description">考虑数字3600.这是非常特别的，因为<p> 3600 = 482 + 362 3600 = 202 + 2×402 3600 = 302 + 3×302 3600 = 452 + 7×152 </p><p>类似地，我们发现88201 = 992 + 2802 = 2872 + 2×542 = 2832 + 3×522 = 1972 + 7×842。 </p><p>在1747年，欧拉证明哪些数字可以表示为两个正方形的总和。我们感兴趣的是数字n，它承认以下四种类型的表示： </p><p> n = a12 + b12n = a22 + 2 b22n = a32 + 3 b32n = a72 + 7 b72， </p><p>其中ak和bk是正整数。 </p><p>有75373这样的数字不超过107。 </p><p>有多少这样的数字不超过2×109？ </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>euler229()</code>应该返回11325263。
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2020-02-18 01:40:55 +09:00
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testString: assert.strictEqual(euler229(), 11325263);
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2018-10-10 18:03:03 -04:00
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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 euler229() {
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// Good luck!
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return true;
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}
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euler229();
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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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