133. Clone Graph

深碍√TFBOYSˉ_ 2022-03-07 02:50 131阅读 0赞

Given the head of a graph, return a deep copy (clone) of the graph. Each node in the graph contains a label (int) and a list (List\[UndirectedGraphNode\]) of its neighbors. There is an edge between the given node and each of the nodes in its neighbors.

OJ's undirected graph serialization (so you can understand error output):  
Nodes are labeled uniquely.

We use \# as a separator for each node, and , as a separator for node label and each neighbor of the node.

As an example, consider the serialized graph \{0,1,2\#1,2\#2,2\}.  
The graph has a total of three nodes, and therefore contains three parts as separated by \#.

First node is labeled as 0. Connect node 0 to both nodes 1 and 2.  
Second node is labeled as 1. Connect node 1 to node 2.  
Third node is labeled as 2. Connect node 2 to node 2 (itself), thus forming a self-cycle.

Visually, the graph looks like the following:

1
          / \
         /   \
        0 --- 2
             / \
             \_/

Note: The information about the tree serialization is only meant so that you can understand error output if you get a wrong answer. You don't need to understand the serialization to solve the problem.

难度：medium

题目：给定一图的头结点，返回其深拷贝。每个结点包含一个标签及一组邻结点。在给定的结点与其邻结点之间都有一边。

思路：BFS

Runtime: 6 ms, faster than 19.61% of Java online submissions for Clone Graph.  
Memory Usage: 37.9 MB, less than 95.96% of Java online submissions for Clone Graph.

/**
     * Definition for undirected graph.
     * class UndirectedGraphNode {
     *     int label;
     *     List<UndirectedGraphNode> neighbors;
     *     UndirectedGraphNode(int x) { label = x; neighbors = new ArrayList<UndirectedGraphNode>(); }
     * };
     */
    public class Solution {
        public UndirectedGraphNode cloneGraph(UndirectedGraphNode node) {
            if (null == node) {
                return null;
            }
            Queue<UndirectedGraphNode> queue = new LinkedList<>();
            queue.add(node);
            Map<UndirectedGraphNode, UndirectedGraphNode> nodes = new HashMap<>();
            
            while (!queue.isEmpty()) {
                UndirectedGraphNode tNode = queue.poll();
                nodes.put(tNode, new UndirectedGraphNode(tNode.label));
                
                for (UndirectedGraphNode n: tNode.neighbors) {
                    if (!nodes.containsKey(n)) {
                        queue.add(n);
                    }
                }
            }
            
            for (Map.Entry<UndirectedGraphNode, UndirectedGraphNode> e: nodes.entrySet()) {
                UndirectedGraphNode copyNode = e.getValue();
                for (UndirectedGraphNode n : e.getKey().neighbors) {
                    copyNode.neighbors.add(nodes.get(n));
                }
            }
            
            return nodes.get(node);
        }
    }