79d9012432
* fix(curriculum): tests quotes * fix(curriculum): fill seed-teardown * fix(curriculum): fix tests and remove unneeded seed-teardown
60 lines
1.2 KiB
Markdown
60 lines
1.2 KiB
Markdown
---
|
|
id: 5900f3b31000cf542c50fec6
|
|
challengeType: 5
|
|
title: 'Problem 71: Ordered fractions'
|
|
---
|
|
|
|
## Description
|
|
<section id='description'>
|
|
Consider the fraction, n/d, where n and d are positive integers. If n<d and HCF(n,d)=1, it is called a reduced proper fraction.
|
|
If we list the set of reduced proper fractions for d ≤ 8 in ascending order of size, we get:
|
|
1/8, 1/7, 1/6, 1/5, 1/4, 2/7, 1/3, 3/8, 2/5, 3/7, 1/2, 4/7, 3/5, 5/8, 2/3, 5/7, 3/4, 4/5, 5/6, 6/7, 7/8
|
|
It can be seen that 2/5 is the fraction immediately to the left of 3/7.
|
|
By listing the set of reduced proper fractions for d ≤ 1,000,000 in ascending order of size, find the numerator of the fraction immediately to the left of 3/7.
|
|
</section>
|
|
|
|
## Instructions
|
|
<section id='instructions'>
|
|
|
|
</section>
|
|
|
|
## Tests
|
|
<section id='tests'>
|
|
|
|
```yml
|
|
tests:
|
|
- text: <code>euler71()</code> should return 428570.
|
|
testString: assert.strictEqual(euler71(), 428570, '<code>euler71()</code> should return 428570.');
|
|
|
|
```
|
|
|
|
</section>
|
|
|
|
## Challenge Seed
|
|
<section id='challengeSeed'>
|
|
|
|
<div id='js-seed'>
|
|
|
|
```js
|
|
function euler71() {
|
|
// Good luck!
|
|
return true;
|
|
}
|
|
|
|
euler71();
|
|
```
|
|
|
|
</div>
|
|
|
|
|
|
|
|
</section>
|
|
|
|
## Solution
|
|
<section id='solution'>
|
|
|
|
```js
|
|
// solution required
|
|
```
|
|
</section>
|