id	title	challengeType	forumTopicId	dashedName
5900f53a1000cf542c51004c	Problem 461: Almost Pi	5	302136	problem-461-almost-pi

--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).

--hints--

euler461() should return 159820276.

assert.strictEqual(euler461(), 159820276);

function euler461() {

  return true;
}

euler461();

// solution required