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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-78-coin-partitions.md
Oliver Eyton-Williams ee1e8abd87 feat(curriculum): restore seed + solution to Chinese (#40683)
* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
2021-01-12 19:31:00 -07:00

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---
id: 5900f3ba1000cf542c50fecd
title: 'Problem 78: Coin partitions'
challengeType: 5
forumTopicId: 302191
dashedName: problem-78-coin-partitions
---
# --description--
Let p(n) represent the number of different ways in which n coins can be separated into piles. For example, five coins can be separated into piles in exactly seven different ways, so p(5)=7.
<div style='text-align: center;'>
| Coin piles |
| ----------------- |
| OOOOO |
| OOOO   O |
| OOO   OO |
| OOO   O   O |
| OO   OO   O |
| OO   O   O   O |
| O   O   O   O   O |
</div>
Find the least value of `n` for which p(`n`) is divisible by one million.
# --hints--
`coinPartitions()` should return a number.
```js
assert(typeof coinPartitions() === 'number');
```
`coinPartitions()` should return 55374.
```js
assert.strictEqual(coinPartitions(), 55374);
```
# --seed--
## --seed-contents--
```js
function coinPartitions() {
return true;
}
coinPartitions();
```
# --solutions--
```js
// solution required
```