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id	title	challengeType	forumTopicId	dashedName
5900f4511000cf542c50ff62	Problem 226: A Scoop of Blancmange	5	301869	problem-226-a-scoop-of-blancmange

--description--

The blancmange curve is the set of points (x,y) such that 0 ≤ x ≤ 1 and \displaystyle y = \sum_{n = 0}^{\infty} \frac{s(2^nx)}{2^n}, where s(x) is the distance from x to the nearest integer.

The area under the blancmange curve is equal to \frac{1}{2}, shown in pink in the diagram below.

diagram of blancmange curve, with circle C shown on diagram

Let C be the circle with centre (\frac{1}{4},\frac{1}{2}) and radius \frac{1}{4}, shown in black in the diagram.

What area under the blancmange curve is enclosed by C? Give your answer rounded to eight decimal places in the form 0.abcdefgh

--hints--

scoopOfBlancmange() should return 0.11316017.

assert.strictEqual(scoopOfBlancmange(), 0.11316017);

--seed--

--seed-contents--

function scoopOfBlancmange() {

  return true;
}

scoopOfBlancmange();

--solutions--

// solution required

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