freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-386-maximum-length-of-an-antichain.md

id, title, challengeType, forumTopicId, dashedName

id	title	challengeType	forumTopicId	dashedName
5900f4ef1000cf542c510001	Problem 386: Maximum length of an antichain	5	302050	problem-386-maximum-length-of-an-antichain

--description--

Let n be an integer and S(n) be the set of factors of n.

A subset A of S(n) is called an antichain of S(n) if A contains only one element or if none of the elements of A divides any of the other elements of A.

For example: S(30) = {1, 2, 3, 5, 6, 10, 15, 30} {2, 5, 6} is not an antichain of S(30). {2, 3, 5} is an antichain of S(30).

Let N(n) be the maximum length of an antichain of S(n).

Find ΣN(n) for 1 ≤ n ≤ 108

--hints--

euler386() should return 528755790.

assert.strictEqual(euler386(), 528755790);

--seed--

--seed-contents--

function euler386() {

  return true;
}

euler386();

--solutions--

// solution required