LeetCode | Clone Graph

2024年4月1日 107次阅读

题目：

Clone an undirected graph. Each node in the graph contains a label and a list of its neighbors.

OJ’s undirected graph serialization:

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 #.

  1. First node is labeled as 0. Connect node 0 to both nodes 1 and 2.
  2. Second node is labeled as 1. Connect node 1 to node 2.
  3. 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
         / \
         \_/

思路：

首先做一次BFS遍历，将所有结点创建出来。并且要保存在一个可以在短时间读取的结构中。map是个不错的结构并且每个结点label唯一，因此我们可以用label来作为索引。

第二次遍历的时候可以快速地找出结点并构造图的关系。

代码：

/**
 * Definition for undirected graph.
 * struct UndirectedGraphNode {
 *     int label;
 *     vector<UndirectedGraphNode *> neighbors;
 *     UndirectedGraphNode(int x) : label(x) {};
 * };
 */
class Solution {
public:
    UndirectedGraphNode *cloneGraph(UndirectedGraphNode *node) {
        if(node==NULL)
        {
            return NULL;
        }
        map<int, UndirectedGraphNode*> nodes;
        queue<UndirectedGraphNode*> q;
        
        q.push(node);
        
        while(!q.empty())
        {
            UndirectedGraphNode* tmp = q.front();
            q.pop();
            if(nodes.find(tmp->label)==nodes.end())
            {
                UndirectedGraphNode* new_node = new UndirectedGraphNode(tmp->label);
                nodes.insert(pair<int, UndirectedGraphNode*>(new_node->label, new_node));
                for(int i=0;i<tmp->neighbors.size();i++)
                {
                    q.push(tmp->neighbors[i]);
                }
            }
        }
        
        q.push(node);
        while(!q.empty())
        {
            UndirectedGraphNode* tmp = q.front();
            q.pop();
            UndirectedGraphNode* existingnode = nodes[tmp->label];
            if(existingnode->neighbors.empty()&&!tmp->neighbors.empty())
            {
                for(int i=0;i<tmp->neighbors.size();i++)
                {
                    existingnode->neighbors.push_back(nodes[tmp->neighbors[i]->label]);
                    q.push(tmp->neighbors[i]);
                }
            }
        }
        
        return nodes[node->label];
    }
};
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