47 lines
1.3 KiB
Markdown
47 lines
1.3 KiB
Markdown
---
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id: 5900f4511000cf542c50ff62
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title: 'Problem 226: A Scoop of Blancmange'
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challengeType: 5
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forumTopicId: 301869
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dashedName: problem-226-a-scoop-of-blancmange
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---
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# --description--
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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.
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The area under the blancmange curve is equal to $\frac{1}{2}$, shown in pink in the diagram below.
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<img class="img-responsive center-block" alt="diagram of blancmange curve, with circle C shown on diagram" src="https://cdn.freecodecamp.org/curriculum/project-euler/a-scoop-of-blancmange.gif" style="background-color: white; padding: 10px;">
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Let $C$ be the circle with centre ($\frac{1}{4}$,$\frac{1}{2}$) and radius $\frac{1}{4}$, shown in black in the diagram.
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What area under the blancmange curve is enclosed by $C$? Give your answer rounded to eight decimal places in the form 0.abcdefgh
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# --hints--
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`scoopOfBlancmange()` should return `0.11316017`.
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```js
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assert.strictEqual(scoopOfBlancmange(), 0.11316017);
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```
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# --seed--
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## --seed-contents--
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```js
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function scoopOfBlancmange() {
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return true;
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}
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scoopOfBlancmange();
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```
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# --solutions--
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```js
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// solution required
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```
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