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First Day Where You Have Been in All the Rooms

There are n rooms you need to visit, labeled from 0 to n - 1.

There are n rooms you need to visit, labeled from 0 to n - 1. Each day is labeled, starting from 0. You will go in and visit one room a day.

Initially on day 0, you visit room 0. The order you visit the rooms for the coming days is determined by the following rules and a given 0-indexed array nextVisit of length n:

Return the label of the first day where you have been in all the rooms. It can be shown that such a day exists. Since the answer may be very large, return it modulo 10^9 + 7.

First Day Where You Have Been in All the Rooms diagram

Example 1

Input: nextVisit = [0,0]

Output: 2

Explanation: - On day 0, you visit room 0. The total times you have been in room 0 is 1, which is odd. On the next day you will visit room nextVisit[0] = 0 - On day 1, you visit room 0, The total times you have been in room 0 is 2, which is even. On the next day you will visit room (0 + 1) mod 2 = 1 - On day 2, you visit room 1. This is the first day where you have been in all the rooms.

Example 2

Input: nextVisit = [0,0,2]

Output: 6

Explanation: Your room visiting order for each day is: [0,0,1,0,0,1,2,...]. Day 6 is the first day where you have been in all the rooms.

Example 3

Input: nextVisit = [0,1,2,0]

Output: 6

Explanation: Your room visiting order for each day is: [0,0,1,1,2,2,3,...]. Day 6 is the first day where you have been in all the rooms.

Constraints

  • n == nextVisit.length
  • 2 <= n <= 10^5
  • 0 <= nextVisit[i] <= i

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