---
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--

`circlePackingTwo()` should return `110242.87794`.

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

# --seed--

## --seed-contents--

```js
function circlePackingTwo() {

  return true;
}

circlePackingTwo();
```

# --solutions--

```js
// solution required
```