id	title	challengeType	forumTopicId	dashedName
5900f4d91000cf542c50ffea	Problem 364: Comfortable distance	5	302025	problem-364-comfortable-distance

--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.

Otherwise take one of the remaining available seats.

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.

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.

--hints--

euler364() should return 44855254.

assert.strictEqual(euler364(), 44855254);

function euler364() {

  return true;
}

euler364();

// solution required