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curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-461-almost-pi.md

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+---
+id: 5900f53a1000cf542c51004c
+challengeType: 5
+title: 'Problem 461: Almost Pi'
+forumTopicId: 302136
+---
+
+## 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);
+
+```
+
+</section>
+
+## Challenge Seed
+<section id='challengeSeed'>
+
+<div id='js-seed'>
+
+```js
+function euler461() {
+
+  return true;
+}
+
+euler461();
+```
+
+</div>
+
+
+
+</section>
+
+## Solution
+<section id='solution'>
+
+```js
+// solution required
+```
+
+</section>