60 lines
1.0 KiB
Markdown
60 lines
1.0 KiB
Markdown
---
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id: 5900f3d91000cf542c50feeb
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challengeType: 5
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title: 'Problem 108: Diophantine Reciprocals I'
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---
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## Description
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<section id='description'>
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In the following equation x, y, and n are positive integers.
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1/<var>x</var> + 1/<var>y</var> = 1/<var>n</var>
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For <var>n</var> = 4 there are exactly three distinct solutions:
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1/5 + 1/20 = 1/4<br />1/6 + 1/12 = 1/4<br />1/8 + 1/8 = 1/4
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What is the least value of <var>n</var> for which the number of distinct solutions exceeds one-thousand?
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</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>diophantineOne()</code> should return 180180.
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testString: 'assert.strictEqual(diophantineOne(), 180180, "<code>diophantineOne()</code> should return 180180.");'
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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 diophantineOne() {
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// Good luck!
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return true;
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}
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diophantineOne();
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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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