49 lines
		
	
	
		
			741 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			49 lines
		
	
	
		
			741 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
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| id: 5900f5271000cf542c51003a
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| title: 'Problem 443: GCD sequence'
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| challengeType: 5
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| forumTopicId: 302115
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| dashedName: problem-443-gcd-sequence
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| ---
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| 
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| # --description--
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| 
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| Let g(n) be a sequence defined as follows: g(4) = 13, g(n) = g(n-1) + gcd(n, g(n-1)) for n > 4.
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| 
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| The first few values are:
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| 
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| n 4567891011121314151617181920... g(n) 1314161718272829303132333451545560...
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| 
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| <!-- TODO Use MathJax -->
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| 
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| You are given that g(1 000) = 2524 and g(1 000 000) = 2624152.
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| 
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| Find g(1015).
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| 
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| # --hints--
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| 
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| `euler443()` should return 2744233049300770.
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| 
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| ```js
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| assert.strictEqual(euler443(), 2744233049300770);
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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 euler443() {
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| 
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|   return true;
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| }
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| 
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| euler443();
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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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