2018-09-30 23:01:58 +01:00
										 
									 
								 
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								id: 5900f4d91000cf542c50ffea
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								challengeType: 5
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								title: 'Problem 364: Comfortable distance'
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								## Description
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								<section id='description'>
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								There are N seats in a row. N people come after each other to fill the seats according to the following rules:
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								If there is any seat whose adjacent seat(s) are not occupied take such a seat.
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								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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											2018-10-08 01:01:53 +01:00
										 
									 
								 
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								Otherwise take one of the remaining available seats.
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											2018-09-30 23:01:58 +01:00
										 
									 
								 
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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.
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								Find T(1 000 000) mod 100 000 007.
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								</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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											2018-10-04 14:37:37 +01:00
										 
									 
								 
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								tests:
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								  - text: <code>euler364()</code> should return 44855254.
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											2018-10-20 21:02:47 +03:00
										 
									 
								 
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								    testString: assert.strictEqual(euler364(), 44855254, '<code>euler364()</code> should return 44855254.');
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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
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								function euler364() {
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								  // Good luck!
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								  return true;
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								}
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								euler364();
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								```
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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
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								// solution required
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								```
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								</section>
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