2018-09-30 22:01:58 +00:00
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---
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id: 5900f4511000cf542c50ff62
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challengeType: 5
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title: 'Problem 226: A Scoop of Blancmange'
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---
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## Description
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<section id='description'>
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The blancmange curve is the set of points (x,y) such that 0 ≤ x ≤ 1 and ,where s(x) = the distance from x to the nearest integer.
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The area under the blancmange curve is equal to ½, shown in pink in the diagram below.
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Let C be the circle with centre (¼,½) and radius ¼, 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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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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2018-10-04 13:37:37 +00:00
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tests:
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- text: <code>euler226()</code> should return 0.11316017.
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2019-07-27 02:26:37 +00:00
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testString: assert.strictEqual(euler226(), 0.11316017);
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2018-09-30 22:01:58 +00:00
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler226() {
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// Good luck!
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return true;
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}
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euler226();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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2019-07-18 15:24:12 +00:00
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2018-09-30 22:01:58 +00:00
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</section>
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