45 lines
		
	
	
		
			877 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			45 lines
		
	
	
		
			877 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
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								---
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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 ,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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								# --hints--
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								`euler226()` should return 0.11316017.
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								```js
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								assert.strictEqual(euler226(), 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 euler226() {
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								  return true;
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								}
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								euler226();
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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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