---
id: 5900f5481000cf542c51005b
challengeType: 5
title: 'Problem 476: Circle Packing II'
---

## Description
<section id='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.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

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

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

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

euler476();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>