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id	challengeType	title
5900f4d91000cf542c50ffea	5	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.

Instructions

Tests

tests:
  - text: <code>euler364()</code> should return 44855254.
    testString: assert.strictEqual(euler364(), 44855254, '<code>euler364()</code> should return 44855254.');

Challenge Seed

function euler364() {
  // Good luck!
  return true;
}

euler364();

Solution

// solution required

1.3 KiB Raw Blame History