56 lines
1.3 KiB
Markdown
56 lines
1.3 KiB
Markdown
---
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id: 5900f5001000cf542c510012
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challengeType: 5
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title: 'Problem 404: Crisscross Ellipses'
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videoUrl: ''
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localeTitle: 问题404:交叉椭圆
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---
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## Description
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<section id="description"> Ea是椭圆,其形式为x2 + 4y2 = 4a2。 Ea'是Ea的旋转图像,绕原点O(0,0)逆时针旋转θ度0°<θ<90°。 <p> b是距离原点最近的两个交点的原点的距离,c是另外两个交点的距离。如果a,b和c是正整数,我们称有序三元组(a,b,c)为规范椭圆体三元组。例如,(209,247,286)是规范的椭圆体三重态。 </p><p>令C(N)为a≤N的不同规范椭球三胞胎(a,b,c)的数量。可以证实C(103)= 7,C(104)= 106和C(106)= 11845 。 </p><p>找到C(1017)。 </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>euler404()</code>应该返回1199215615081353。
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testString: 'assert.strictEqual(euler404(), 1199215615081353, "<code>euler404()</code> should return 1199215615081353.");'
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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 euler404() {
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// Good luck!
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return true;
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}
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euler404();
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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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