keys-and-rooms

Keys and Rooms

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canVisitAllRooms

There are <code>n</code> rooms labeled from <code>0</code> to <code>n - 1</code>&nbsp;and all the rooms are locked except for room <code>0</code>. 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 <code>rooms</code> where <code>rooms[i]</code> is the set of keys that you can obtain if you visited room <code>i</code>, return <code>true</code> if you can visit all the rooms, or <code>false</code> otherwise.

&nbsp;
Example 1:

<pre>
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.
</pre>

Example 2:

<pre>
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.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>n == rooms.length</code></li>
	<li><code>2 &lt;= n &lt;= 1000</code></li>
	<li><code>0 &lt;= rooms[i].length &lt;= 1000</code></li>
	<li><code>1 &lt;= sum(rooms[i].length) &lt;= 3000</code></li>
	<li><code>0 &lt;= rooms[i][j] &lt; n</code></li>
	<li>All the values of <code>rooms[i]</code> are unique.</li>
</ul>

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