49 lines
1.0 KiB
Markdown
49 lines
1.0 KiB
Markdown
---
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id: 5900f4d91000cf542c50ffea
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title: 'Problem 364: Comfortable distance'
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challengeType: 5
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forumTopicId: 302025
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dashedName: problem-364-comfortable-distance
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---
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# --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. Find T(1 000 000) mod 100 000 007.
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# --hints--
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`euler364()` should return 44855254.
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```js
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assert.strictEqual(euler364(), 44855254);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler364() {
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return true;
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}
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euler364();
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```
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# --solutions--
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```js
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// solution required
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```
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