45 lines
		
	
	
		
			877 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			45 lines
		
	
	
		
			877 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 5900f4511000cf542c50ff62 | ||
|  | title: 'Problem 226: A Scoop of Blancmange' | ||
|  | challengeType: 5 | ||
|  | forumTopicId: 301869 | ||
|  | dashedName: problem-226-a-scoop-of-blancmange | ||
|  | --- | ||
|  | 
 | ||
|  | # --description--
 | ||
|  | 
 | ||
|  | 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. | ||
|  | 
 | ||
|  | The area under the blancmange curve is equal to ½, shown in pink in the diagram below. | ||
|  | 
 | ||
|  | Let C be the circle with centre (¼,½) and radius ¼, 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--
 | ||
|  | 
 | ||
|  | `euler226()` should return 0.11316017. | ||
|  | 
 | ||
|  | ```js | ||
|  | assert.strictEqual(euler226(), 0.11316017); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --seed--
 | ||
|  | 
 | ||
|  | ## --seed-contents--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | function euler226() { | ||
|  | 
 | ||
|  |   return true; | ||
|  | } | ||
|  | 
 | ||
|  | euler226(); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --solutions--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` |