2018-10-10 18:03:03 -04:00
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---
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id: 5900f46e1000cf542c50ff80
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challengeType: 5
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videoUrl: ''
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2020-10-01 17:54:21 +02:00
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title: 问题257:角度平分器
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2018-10-10 18:03:03 -04:00
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---
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## Description
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<section id="description">给定是一个整数边三角形ABC,边a≤b≤c。 (AB = c,BC = a且AC = b)。三角形的角平分线在点E,F和G处与两侧相交(见下图)。 <p>段EF,EG和FG将三角形ABC划分为四个较小的三角形:AEG,BFE,CGF和EFG。可以证明,对于这四个三角形中的每一个,比率区域(ABC)/面积(子三角形)是合理的。然而,存在这些比率中的一些或全部是积分的三角形。 </p><p>存在多少个周长≤100,000,000的三角形ABC,以便比率面积(ABC)/面积(AEG)是整数? </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>euler257()</code>应该返回139012411。
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2020-02-18 01:40:55 +09:00
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testString: assert.strictEqual(euler257(), 139012411);
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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 euler257() {
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// Good luck!
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return true;
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}
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euler257();
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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 17:24:35 +02:00
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/section>
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