---
id: 5900f5481000cf542c51005b
title: 'Problem 476: Circle Packing II'
challengeType: 5
forumTopicId: 302153
dashedName: 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.

```js
assert.strictEqual(euler476(), 110242.87794);
```

# --seed--

## --seed-contents--

```js
function euler476() {

  return true;
}

euler476();
```

# --solutions--

```js
// solution required
```