freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-476-circle-packing-ii.english.md

id, challengeType, title, forumTopicId

id	challengeType	title	forumTopicId
5900f5481000cf542c51005b	5	Problem 476: Circle Packing II	302153

Description

Let R(a, b, c) be the maximum area covered by three non-overlapping circles inside a triangle with edge lengths a, b and c. Let S(n) be the average value of R(a, b, c) over all integer triplets (a, b, c) such that 1 ≤ a ≤ b ≤ c < a + b ≤ n You are given S(2) = R(1, 1, 1) ≈ 0.31998, S(5) ≈ 1.25899. Find S(1803) rounded to 5 decimal places behind the decimal point.

Instructions

Tests

tests:
  - text: <code>euler476()</code> should return 110242.87794.
    testString: assert.strictEqual(euler476(), 110242.87794);

Challenge Seed

function euler476() {
  // Good luck!
  return true;
}

euler476();

Solution

// solution required