freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-360-scary-sphere.english.md

id	challengeType	title
5900f4d41000cf542c50ffe7	5	Problem 360: Scary Sphere

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).

Instructions

Tests

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

Challenge Seed

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

euler360();

Solution

// solution required