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							|  |  |  | id: 5900f4d91000cf542c50ffea | 
					
						
							|  |  |  | challengeType: 5 | 
					
						
							|  |  |  | title: 'Problem 364: Comfortable distance' | 
					
						
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							|  |  |  | ## Description
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							|  |  |  | <section id='description'> | 
					
						
							|  |  |  | There are N seats in a row. N people come after each other to fill the seats according to the following rules: | 
					
						
							|  |  |  | If there is any seat whose adjacent seat(s) are not occupied take such a seat. | 
					
						
							|  |  |  | If there is no such seat and there is any seat for which only one adjacent seat is occupied take such a seat. | 
					
						
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										 |  |  | Otherwise take one of the remaining available seats. | 
					
						
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							|  |  |  | Let T(N) be the number of possibilities that N seats are occupied by N people with the given rules. The following figure shows T(4)=8. | 
					
						
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							|  |  |  | We can verify that T(10) = 61632 and T(1 000) mod 100 000 007 = 47255094. | 
					
						
							|  |  |  | Find T(1 000 000) mod 100 000 007. | 
					
						
							|  |  |  | </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>euler364()</code> should return 44855254. | 
					
						
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										 |  |  |     testString: assert.strictEqual(euler364(), 44855254, '<code>euler364()</code> should return 44855254.'); | 
					
						
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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 euler364() { | 
					
						
							|  |  |  |   // Good luck! | 
					
						
							|  |  |  |   return true; | 
					
						
							|  |  |  | } | 
					
						
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							|  |  |  | euler364(); | 
					
						
							|  |  |  | ``` | 
					
						
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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 | 
					
						
							|  |  |  | ``` | 
					
						
							|  |  |  | </section> |