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							|  |  |  | id: 5900f4f11000cf542c510002 | 
					
						
							|  |  |  | title: 'Problem 388: Distinct Lines' | 
					
						
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										 |  |  | challengeType: 5 | 
					
						
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										 |  |  | forumTopicId: 302052 | 
					
						
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										 |  |  | dashedName: problem-388-distinct-lines | 
					
						
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										 |  |  | # --description--
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										 |  |  | Consider all lattice points (a,b,c) with 0 ≤ a,b,c ≤ N. | 
					
						
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										 |  |  | From the origin O(0,0,0) all lines are drawn to the other lattice points. Let D(N) be the number of distinct such lines. | 
					
						
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							|  |  |  | You are given that D(1 000 000) = 831909254469114121. | 
					
						
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							|  |  |  | Find D(1010). Give as your answer the first nine digits followed by the last nine digits. | 
					
						
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										 |  |  | # --hints--
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										 |  |  | `euler388()` should return 831907372805130000. | 
					
						
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										 |  |  | ```js | 
					
						
							|  |  |  | assert.strictEqual(euler388(), 831907372805130000); | 
					
						
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										 |  |  | ``` | 
					
						
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										 |  |  | # --seed--
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										 |  |  | ## --seed-contents--
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							|  |  |  | ```js | 
					
						
							|  |  |  | function euler388() { | 
					
						
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										 |  |  |   return true; | 
					
						
							|  |  |  | } | 
					
						
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							|  |  |  | euler388(); | 
					
						
							|  |  |  | ``` | 
					
						
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										 |  |  | # --solutions--
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							|  |  |  | ```js | 
					
						
							|  |  |  | // solution required | 
					
						
							|  |  |  | ``` |