56 lines
886 B
Markdown
56 lines
886 B
Markdown
![]() |
---
|
||
|
id: 5900f3b81000cf542c50fecb
|
||
|
title: 'Problem 76: Counting summations'
|
||
|
challengeType: 5
|
||
|
forumTopicId: 302189
|
||
|
dashedName: problem-76-counting-summations
|
||
|
---
|
||
|
|
||
|
# --description--
|
||
|
|
||
|
It is possible to write five as a sum in exactly six different ways:
|
||
|
|
||
|
<div style='margin-left: 4em;'>
|
||
|
4 + 1<br>
|
||
|
3 + 2<br>
|
||
|
3 + 1 + 1<br>
|
||
|
2 + 2 + 1<br>
|
||
|
2 + 1 + 1 + 1<br>
|
||
|
1 + 1 + 1 + 1 + 1<br>
|
||
|
</div>
|
||
|
|
||
|
How many different ways can one hundred be written as a sum of at least two positive integers?
|
||
|
|
||
|
# --hints--
|
||
|
|
||
|
`countingSummations()` should return a number.
|
||
|
|
||
|
```js
|
||
|
assert(typeof countingSummations() === 'number');
|
||
|
```
|
||
|
|
||
|
`countingSummations()` should return 190569291.
|
||
|
|
||
|
```js
|
||
|
assert.strictEqual(countingSummations(), 190569291);
|
||
|
```
|
||
|
|
||
|
# --seed--
|
||
|
|
||
|
## --seed-contents--
|
||
|
|
||
|
```js
|
||
|
function countingSummations() {
|
||
|
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
countingSummations();
|
||
|
```
|
||
|
|
||
|
# --solutions--
|
||
|
|
||
|
```js
|
||
|
// solution required
|
||
|
```
|