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841.keys-and-rooms.py
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#
# @lc app=leetcode id=841 lang=python3
#
# [841] Keys and Rooms
#
# https://leetcode.com/problems/keys-and-rooms/description/
#
# algorithms
# Medium (74.19%)
# Likes: 6349
# Dislikes: 286
# Total Accepted: 544.4K
# Total Submissions: 733.6K
# Testcase Example: '[[1],[2],[3],[]]'
#
# 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:
#
#
# Input: rooms = [[1],[2],[3],[]]
# Output: true
# Explanation:
# We visit room 0 and pick up key 1.
# We then visit room 1 and pick up key 2.
# We then visit room 2 and pick up key 3.
# We then visit room 3.
# Since we were able to visit every room, we return true.
#
#
# Example 2:
#
#
# Input: rooms = [[1,3],[3,0,1],[2],[0]]
# Output: false
# Explanation: We can not enter room number 2 since the only key that unlocks
# it is in that room.
#
#
#
# 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.
#
#
#
# @lc code=start
from typing import List
class Solution:
def canVisitAllRooms(self, rooms: List[List[int]]) -> bool:
stack = [0]
visited = set()
while stack:
room = stack.pop()
if room not in visited:
visited.add(room)
stack.extend(rooms[room])
return True if len(visited) == len(rooms) else False
# @lc code=end