---
id: 5900f5481000cf542c51005b
challengeType: 5
title: '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.
## Instructions
## Tests
```yml
tests:
- text: euler476() should return 110242.87794.
testString: 'assert.strictEqual(euler476(), 110242.87794, ''euler476() should return 110242.87794.'');'
```
## Challenge Seed
```js
function euler476() {
// Good luck!
return true;
}
euler476();
```