45 lines
		
	
	
		
			786 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			45 lines
		
	
	
		
			786 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
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| id: 5900f5271000cf542c510039
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| title: 'Problem 442: Eleven-free integers'
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| challengeType: 5
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| forumTopicId: 302114
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| dashedName: problem-442-eleven-free-integers
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| ---
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| 
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| # --description--
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| 
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| An integer is called eleven-free if its decimal expansion does not contain any substring representing a power of 11 except 1.
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| 
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| For example, 2404 and 13431 are eleven-free, while 911 and 4121331 are not.
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| 
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| Let E(n) be the nth positive eleven-free integer. For example, E(3) = 3, E(200) = 213 and E(500 000) = 531563.
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| 
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| Find E(1018).
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| 
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| # --hints--
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| 
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| `euler442()` should return 1295552661530920200.
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| 
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| ```js
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| assert.strictEqual(euler442(), 1295552661530920200);
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| ```
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| 
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| # --seed--
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| 
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| ## --seed-contents--
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| 
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| ```js
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| function euler442() {
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| 
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|   return true;
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| }
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| 
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| euler442();
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| ```
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| 
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| # --solutions--
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| 
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| ```js
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| // solution required
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| ```
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