Keys and Rooms

There are n rooms labeled from 0 to n - 1, and all the rooms are locked except for room 0. Your goal is to visit all the rooms. However, you cannot enter a locked room without having its key.

When you visit a room, you may find a set of distinct keys in it. Each key has a number on it, denoting which room it unlocks, and you can take all of them with you to unlock the other rooms.

Given an array rooms where rooms[i] is the set of keys that you can obtain if you visited room i, return true if you can visit all the rooms, or false otherwise.

Example 1
Inputrooms = [[1],[2],[3],[]]
Outputtrue
Starting from room 0, you can pick up keys 1, 2, and 3 in sequence and visit every room.
Example 2
Inputrooms = [[1,3],[3,0,1],[2],[0]]
Outputfalse
Room 2 cannot be entered because the only key that unlocks it is inside room 2.

Constraints

  • n == rooms.length
  • 2 <= n <= 1000
  • 0 <= rooms[i].length <= 1000
  • 1 <= sum(rooms[i].length) <= 3000
  • 0 <= rooms[i][j] < n
  • All the values of rooms[i] are unique.

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