61 lines
1.0 KiB
Markdown
61 lines
1.0 KiB
Markdown
---
|
||
id: 5900f5481000cf542c51005b
|
||
challengeType: 5
|
||
title: 'Problem 476: Circle Packing II'
|
||
forumTopicId: 302153
|
||
---
|
||
|
||
## 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);
|
||
|
||
```
|
||
|
||
</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>
|