0841. Keys and Rooms

841. Keys and Rooms #

题目 #

There are N rooms and you start in room 0. Each room has a distinct number in 0, 1, 2, ..., N-1, and each room may have some keys to access the next room.

Formally, each room i has a list of keys rooms[i], and each key rooms[i][j] is an integer in [0, 1, ..., N-1] where N = rooms.length. A key rooms[i][j] = v opens the room with number v.

Initially, all the rooms start locked (except for room 0).

You can walk back and forth between rooms freely.

Return true if and only if you can enter every room.

Example 1:

Input: [[1],[2],[3],[]]
Output: true
Explanation:  
We start in room 0, and pick up key 1.
We then go to room 1, and pick up key 2.
We then go to room 2, and pick up key 3.
We then go to room 3.  Since we were able to go to every room, we return true.

Example 2:

Input: [[1,3],[3,0,1],[2],[0]]
Output: false
Explanation: We can't enter the room with number 2.

Note:

  1. 1 <= rooms.length <= 1000
  2. 0 <= rooms[i].length <= 1000
  3. The number of keys in all rooms combined is at most 3000.

题目大意 #

有 N 个房间,开始时你位于 0 号房间。每个房间有不同的号码:0,1,2,…,N-1,并且房间里可能有一些钥匙能使你进入下一个房间。

在形式上,对于每个房间 i 都有一个钥匙列表 rooms[i],每个钥匙 rooms[i][j] 由 [0,1,…,N-1] 中的一个整数表示,其中 N = rooms.length。 钥匙 rooms[i][j] = v 可以打开编号为 v 的房间。最初,除 0 号房间外的其余所有房间都被锁住。你可以自由地在房间之间来回走动。如果能进入每个房间返回 true,否则返回 false。

提示:

  • 1 <= rooms.length <= 1000
  • 0 <= rooms[i].length <= 1000
  • 所有房间中的钥匙数量总计不超过 3000。

解题思路 #

  • 给出一个房间数组,每个房间里面装了一些钥匙。0 号房间默认是可以进入的,房间进入顺序没有要求,问最终能否进入所有房间。
  • 用 DFS 依次深搜所有房间的钥匙,如果都能访问到,最终输出 true。这题算是 DFS 里面的简单题。

代码 #

func canVisitAllRooms(rooms [][]int) bool {
	visited := make(map[int]bool)
	visited[0] = true
	dfsVisitAllRooms(rooms, visited, 0)
	return len(rooms) == len(visited)
}

func dfsVisitAllRooms(es [][]int, visited map[int]bool, from int) {
	for _, to := range es[from] {
		if visited[to] {
			continue
		}
		visited[to] = true
		dfsVisitAllRooms(es, visited, to)
	}
}

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