---
id: 5900f53a1000cf542c51004c
challengeType: 5
title: 'Problem 461: Almost Pi'
---

## Description
<section id='description'>
Let fn(k) = ek/n - 1, for all non-negative integers k.
Remarkably, f200(6) + f200(75) + f200(89) + f200(226) = 3.141592644529… ≈ π.
In fact, it is the best approximation of π of the form fn(a) + fn(b) + fn(c) + fn(d) for n = 200.
Let g(n) = a2 + b2 + c2 + d 2 for a, b, c, d that minimize the error: | fn(a) + fn(b) + fn(c) + fn(d) - π|
(where |x| denotes the absolute value of x).
You are given g(200) = 62 + 752 + 892 + 2262 = 64658.
Find g(10000).
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler461()</code> should return 159820276.
    testString: assert.strictEqual(euler461(), 159820276, '<code>euler461()</code> should return 159820276.');

```

</section>

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

<div id='js-seed'>

```js
function euler461() {
  // Good luck!
  return true;
}

euler461();
```

</div>



</section>

## Solution
<section id='solution'>

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