55 lines
		
	
	
		
			807 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			55 lines
		
	
	
		
			807 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 5900f4e41000cf542c50fff5 | ||
|  | title: 'Problem 375: Minimum of subsequences' | ||
|  | challengeType: 5 | ||
|  | forumTopicId: 302037 | ||
|  | dashedName: problem-375-minimum-of-subsequences | ||
|  | --- | ||
|  | 
 | ||
|  | # --description--
 | ||
|  | 
 | ||
|  | Let Sn be an integer sequence produced with the following pseudo-random number generator: | ||
|  | 
 | ||
|  | S0 | ||
|  | 
 | ||
|  | = | ||
|  | 
 | ||
|  | 290797 | ||
|  | 
 | ||
|  | Sn+1 | ||
|  | 
 | ||
|  | = | ||
|  | 
 | ||
|  | Sn2 mod 50515093 | ||
|  | 
 | ||
|  | 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. | ||
|  | 
 | ||
|  | Find M(2 000 000 000). | ||
|  | 
 | ||
|  | # --hints--
 | ||
|  | 
 | ||
|  | `euler375()` should return 7435327983715286000. | ||
|  | 
 | ||
|  | ```js | ||
|  | assert.strictEqual(euler375(), 7435327983715286000); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --seed--
 | ||
|  | 
 | ||
|  | ## --seed-contents--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | function euler375() { | ||
|  | 
 | ||
|  |   return true; | ||
|  | } | ||
|  | 
 | ||
|  | euler375(); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --solutions--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` |