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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-30-digit-n-powers.english.md
Oliver Eyton-Williams bd68b70f3d Feat: hide blocks not challenges (#39504)
* fix: remove isHidden flag from frontmatter

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Co-authored-by: Ahmad Abdolsaheb <ahmad.abdolsaheb@gmail.com>

* feat: hide blocks not challenges

Co-authored-by: Ahmad Abdolsaheb <ahmad.abdolsaheb@gmail.com>

Co-authored-by: Ahmad Abdolsaheb <ahmad.abdolsaheb@gmail.com>
2020-09-03 15:07:40 -07:00

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---
id: 5900f38a1000cf542c50fe9d
challengeType: 5
title: 'Problem 30: Digit n powers'
forumTopicId: 301953
---
## Description
<section id='description'>
Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:
<div style='margin-left: 4em;'>
1634 = 1<sup>4</sup> + 6<sup>4</sup> + 3<sup>4</sup> + 4<sup>4</sup><br>
8208 = 8<sup>4</sup> + 2<sup>4</sup> + 0<sup>4</sup> + 8<sup>4</sup><br>
9474 = 9<sup>4</sup> + 4<sup>4</sup> + 7<sup>4</sup> + 4<sup>4</sup><br>
</div>
As 1 = 1<sup>4</sup> is not a sum it is not included.
The sum of these numbers is 1634 + 8208 + 9474 = 19316.
Find the sum of all the numbers that can be written as the sum of `n` powers of their digits.
</section>
## Instructions
<section id='instructions'>
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>digitnPowers(2)</code> should return a number.
testString: assert(typeof digitnPowers(2) === 'number');
- text: <code>digitnPowers(2)</code> should return 0.
testString: assert(digitnPowers(2) == 0);
- text: <code>digitnPowers(3)</code> should return 1301.
testString: assert(digitnPowers(3) == 1301);
- text: <code>digitnPowers(4)</code> should return 19316.
testString: assert(digitnPowers(4) == 19316);
- text: <code>digitnPowers(5)</code> should return 443839.
testString: assert(digitnPowers(5) == 443839);
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function digitnPowers(n) {
// Good luck!
return n;
}
digitnPowers(5);
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>