59 lines
1.1 KiB
Markdown
59 lines
1.1 KiB
Markdown
---
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id: 5900f5481000cf542c51005b
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challengeType: 5
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title: 'Problem 476: Circle Packing II'
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---
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## Description
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<section id='description'>
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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.
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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
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You are given S(2) = R(1, 1, 1) ≈ 0.31998, S(5) ≈ 1.25899.
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Find S(1803) rounded to 5 decimal places behind the decimal point.
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler476()</code> should return 110242.87794.
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testString: 'assert.strictEqual(euler476(), 110242.87794, "<code>euler476()</code> should return 110242.87794.");'
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler476() {
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// Good luck!
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return true;
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}
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euler476();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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