---
id: 5900f4d41000cf542c50ffe7
challengeType: 5
title: 'Problem 360: Scary Sphere'
---

## Description
<section id='description'>
Given two points (x1,y1,z1) and (x2,y2,z2) in three dimensional space, the Manhattan distance  between those points is defined as  |x1-x2|+|y1-y2|+|z1-z2|.


Let C(r) be a sphere with radius r and center in the origin O(0,0,0).
Let I(r) be the set of all points with integer coordinates on the surface of C(r).
Let S(r) be the sum of the Manhattan distances of all elements of I(r) to the origin O.


E.g. S(45)=34518.


Find S(1010).
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler360()</code> should return 878825614395267100.
    testString: assert.strictEqual(euler360(), 878825614395267100, '<code>euler360()</code> should return 878825614395267100.');

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler360() {
  // Good luck!
  return true;
}

euler360();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>