--- id: 5900f4d91000cf542c50ffea title: 'Problem 364: Comfortable distance' challengeType: 5 forumTopicId: 302025 dashedName: 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: 1. If there is any seat whose adjacent seat(s) are not occupied take such a seat. 2. If there is no such seat and there is any seat for which only one adjacent seat is occupied take such a seat. 3. 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 $T(4) = 8$. eight ways for N seats to be occupied by N people 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`. ```js assert.strictEqual(comfortableDistance(), 44855254); ``` # --seed-- ## --seed-contents-- ```js function comfortableDistance() { return true; } comfortableDistance(); ``` # --solutions-- ```js // solution required ```