6cfd0fc503
* fix: improve Project Euler descriptions and test case Improve formatting of Project Euler test descriptions. Also add poker hands array and new test case for problem 54 * feat: add typeof tests and gave functions proper names for first 100 challenges * fix: continue fixing test descriptions and adding "before test" sections * fix: address review comments * fix: adjust grids in 18 and 67 and fix some text that reference files rather than the given arrays * fix: implement bug fixes and improvements from review * fix: remove console.log statements from seed and solution
70 lines
1.5 KiB
Markdown
70 lines
1.5 KiB
Markdown
---
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id: 5900f3b31000cf542c50fec6
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challengeType: 5
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title: 'Problem 71: Ordered fractions'
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forumTopicId: 302184
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---
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## Description
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<section id='description'>
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Consider the fraction, <var>n</var>/<var>d</var>, where <var>n</var> and <var>d</var> are positive integers. If <var>n</var><<var>d</var> and HCF(<var>n</var>,<var>d</var>)=1, it is called a reduced proper fraction.
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If we list the set of reduced proper fractions for <var>d</var> ≤ 8 in ascending order of size, we get:
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<div style='text-align: center;'>1/8, 1/7, 1/6, 1/5, 1/4, 2/7, 1/3, 3/8, <strong>2/5</strong>, 3/7, 1/2, 4/7, 3/5, 5/8, 2/3, 5/7, 3/4, 4/5, 5/6, 6/7, 7/8</div>
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It can be seen that 2/5 is the fraction immediately to the left of 3/7.
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By listing the set of reduced proper fractions for <var>d</var> ≤ 1,000,000 in ascending order of size, find the numerator of the fraction immediately to the left of 3/7.
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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>orderedFractions()</code> should return a number.
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testString: assert(typeof orderedFractions() === 'number');
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- text: <code>orderedFractions()</code> should return 428570.
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testString: assert.strictEqual(orderedFractions(), 428570);
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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 orderedFractions() {
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// Good luck!
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return true;
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}
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orderedFractions();
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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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