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							|  |  |  |  | id: 5900f4e41000cf542c50fff5 | 
					
						
							|  |  |  |  | challengeType: 5 | 
					
						
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										 |  |  |  | title: 'Problem 375: Minimum of subsequences' | 
					
						
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										 |  |  |  | forumTopicId: 302037 | 
					
						
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										 |  |  |  | --- | 
					
						
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							|  |  |  |  | ## Description
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							|  |  |  |  | <section id='description'> | 
					
						
							|  |  |  |  | Let Sn be an integer sequence produced with the following pseudo-random number generator: | 
					
						
							|  |  |  |  | S0 | 
					
						
							|  |  |  |  |     =  | 
					
						
							|  |  |  |  |     290797  | 
					
						
							|  |  |  |  |   Sn+1 | 
					
						
							|  |  |  |  |     =  | 
					
						
							|  |  |  |  |     Sn2 mod 50515093 | 
					
						
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							|  |  |  |  | Let A(i, j) be the minimum of the numbers Si, Si+1, ... , Sj for i ≤ j. | 
					
						
							|  |  |  |  | Let M(N) = ΣA(i, j) for 1 ≤ i ≤ j ≤ N. | 
					
						
							|  |  |  |  | We can verify that M(10) = 432256955 and M(10 000) = 3264567774119. | 
					
						
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							|  |  |  |  | Find M(2 000 000 000). | 
					
						
							|  |  |  |  | </section> | 
					
						
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							|  |  |  |  | ## Instructions
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							|  |  |  |  | <section id='instructions'> | 
					
						
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							|  |  |  |  | </section> | 
					
						
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							|  |  |  |  | ## Tests
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							|  |  |  |  | <section id='tests'> | 
					
						
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							|  |  |  |  | ```yml | 
					
						
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										 |  |  |  | tests: | 
					
						
							|  |  |  |  |   - text: <code>euler375()</code> should return 7435327983715286000. | 
					
						
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										 |  |  |  |     testString: assert.strictEqual(euler375(), 7435327983715286000); | 
					
						
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							|  |  |  |  | ``` | 
					
						
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							|  |  |  |  | </section> | 
					
						
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							|  |  |  |  | ## Challenge Seed
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							|  |  |  |  | <section id='challengeSeed'> | 
					
						
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							|  |  |  |  | <div id='js-seed'> | 
					
						
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							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | function euler375() { | 
					
						
							|  |  |  |  |   // Good luck! | 
					
						
							|  |  |  |  |   return true; | 
					
						
							|  |  |  |  | } | 
					
						
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							|  |  |  |  | euler375(); | 
					
						
							|  |  |  |  | ``` | 
					
						
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							|  |  |  |  | </div> | 
					
						
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							|  |  |  |  | </section> | 
					
						
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							|  |  |  |  | ## Solution
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							|  |  |  |  | <section id='solution'> | 
					
						
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							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | // solution required | 
					
						
							|  |  |  |  | ``` | 
					
						
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										 |  |  |  | </section> |