fix: replace .english.md extension with .md

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Oliver Eyton-Williams
2020-09-29 19:05:53 +02:00
parent 9718244431
commit 2b9e38a17b
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---
id: 5900f52c1000cf542c51003d
challengeType: 5
title: 'Problem 446: Retractions B'
forumTopicId: 302118
---
## Description
<section id='description'>
For every integer n>1, the family of functions fn,a,b is defined
by fn,a,b(x)≡ax+b mod n for a,b,x integer and 0<a<n, 0b<n, 0x<n.
We will call fn,a,b a retraction if fn,a,b(fn,a,b(x))≡fn,a,b(x) mod n for every 0x<n.
Let R(n) be the number of retractions for n.
F(N)=∑R(n4+4) for 1nN.
F(1024)=77532377300600.
Find F(107) (mod 1 000 000 007)
</section>
## Instructions
<section id='instructions'>
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler446()</code> should return 907803852.
testString: assert.strictEqual(euler446(), 907803852);
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler446() {
return true;
}
euler446();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>