Graph Valid Tree
<p>You have a graph of <code>n</code> nodes labeled from <code>0</code> to <code>n - 1</code>. You are given an integer n and a list of <code>edges</code> where <code>edges[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> indicates that there is an undirected edge between nodes <code>a<sub>i</sub></code> and <code>b<sub>i</sub></code> in the graph.</p>

<p>Return <code>true</code> <em>if the edges of the given graph make up a valid tree, and</em> <code>false</code> <em>otherwise</em>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<img alt="" src="https://fastly.jsdelivr.net/gh/doocs/leetcode@main/solution/0200-0299/0261.Graph%20Valid%20Tree/images/tree1-graph.jpg" style="width: 222px; height: 302px;" />
<pre>
<strong>Input:</strong> n = 5, edges = [[0,1],[0,2],[0,3],[1,4]]
<strong>Output:</strong> true
</pre>

<p><strong class="example">Example 2:</strong></p>
<img alt="" src="https://fastly.jsdelivr.net/gh/doocs/leetcode@main/solution/0200-0299/0261.Graph%20Valid%20Tree/images/tree2-graph.jpg" style="width: 382px; height: 222px;" />
<pre>
<strong>Input:</strong> n = 5, edges = [[0,1],[1,2],[2,3],[1,3],[1,4]]
<strong>Output:</strong> false
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= n &lt;= 2000</code></li>
	<li><code>0 &lt;= edges.length &lt;= 5000</code></li>
	<li><code>edges[i].length == 2</code></li>
	<li><code>0 &lt;= a<sub>i</sub>, b<sub>i</sub> &lt; n</code></li>
	<li><code>a<sub>i</sub> != b<sub>i</sub></code></li>
	<li>There are no self-loops or repeated edges.</li>
</ul>
Depth-First Search; Breadth-First Search; Union Find; Graph
class Solution:
    def validTree(self, n: int, edges: List[List[int]]) -> bool:
        def find(x: int) -> int:
            if p[x] != x:
                p[x] = find(p[x])
            return p[x]

        p = list(range(n))
        for a, b in edges:
            pa, pb = find(a), find(b)
            if pa == pb:
                return False
            p[pa] = pb
            n -= 1
        return n == 1
