51 lines
		
	
	
		
			819 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			51 lines
		
	
	
		
			819 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | |||
|  | id: 5900f4591000cf542c50ff6c | |||
|  | title: 'Problem 237: Tours on a 4 x n playing board' | |||
|  | challengeType: 5 | |||
|  | forumTopicId: 301882 | |||
|  | dashedName: problem-237-tours-on-a-4-x-n-playing-board | |||
|  | --- | |||
|  | 
 | |||
|  | # --description--
 | |||
|  | 
 | |||
|  | Let T(n) be the number of tours over a 4 × n playing board such that: | |||
|  | 
 | |||
|  | The tour starts in the top left corner. | |||
|  | 
 | |||
|  | The tour consists of moves that are up, down, left, or right one square. | |||
|  | 
 | |||
|  | The tour visits each square exactly once. | |||
|  | 
 | |||
|  | The tour ends in the bottom left corner. | |||
|  | 
 | |||
|  | The diagram shows one tour over a 4 × 10 board: | |||
|  | 
 | |||
|  | T(10) is 2329. What is T(1012) modulo 108? | |||
|  | 
 | |||
|  | # --hints--
 | |||
|  | 
 | |||
|  | `euler237()` should return 15836928. | |||
|  | 
 | |||
|  | ```js | |||
|  | assert.strictEqual(euler237(), 15836928); | |||
|  | ``` | |||
|  | 
 | |||
|  | # --seed--
 | |||
|  | 
 | |||
|  | ## --seed-contents--
 | |||
|  | 
 | |||
|  | ```js | |||
|  | function euler237() { | |||
|  | 
 | |||
|  |   return true; | |||
|  | } | |||
|  | 
 | |||
|  | euler237(); | |||
|  | ``` | |||
|  | 
 | |||
|  | # --solutions--
 | |||
|  | 
 | |||
|  | ```js | |||
|  | // solution required | |||
|  | ``` |