70 lines
1.2 KiB
Markdown
70 lines
1.2 KiB
Markdown
---
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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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forumTopicId: 302025
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---
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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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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.
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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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tests:
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- text: <code>euler364()</code> should return 44855254.
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testString: assert.strictEqual(euler364(), 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
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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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