id	title	challengeType	forumTopicId	dashedName
5900f5481000cf542c51005b	Problem 476: Circle Packing II	5	302153	problem-476-circle-packing-ii

--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.

--hints--

euler476() should return 110242.87794.

assert.strictEqual(euler476(), 110242.87794);

function euler476() {

  return true;
}

euler476();

// solution required