1.3 KiB
1.3 KiB
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) = 61\\,632
and T(1\\,000)\bmod 100\\,000\\,007 = 47\\,255\\,094
.
Find T(1\\,000\\,000)\bmod 100\\,000\\,007
.
--hints--
comfortableDistance()
should return 44855254
.
assert.strictEqual(comfortableDistance(), 44855254);
--seed--
--seed-contents--
function comfortableDistance() {
return true;
}
comfortableDistance();
--solutions--
// solution required