leetcode-841-Keys-and-Rooms

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描述

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:

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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:

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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.

分析

这题的本质是判断一个图是否只有一个连通分图，用深度优先遍历即可。

解决方案1(Java)

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class Solution {
    public boolean canVisitAllRooms(List<List<Integer>> rooms) {
        int[] visited = new int[rooms.size()];
        dfs(rooms, 0, visited);
        for (int item: visited) {
            if (item == 0) {
                return false;
            }
        }
        return true;
    }
    
    private void dfs(List<List<Integer>> rooms, int index, int[] visited) {
        if (visited[index] == 1) {
            return;
        }
        visited[index] = 1;
        for (int item: rooms.get(index)) {
            dfs(rooms, item, visited);
        }
    }
}

题目来源