130. Surrounded Regions

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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     / \     \_/

题意:
无向图的复制

思路:
题目的难点在于如何处理每个节点的neighbors,由于在深度拷贝每一个节点后,还要将其所有neighbors放到一个vector中,如何避免重复拷贝呢?这道题好就好在所有节点值不同,所以我们可以使用哈希表来对应节点值和新生成的节点。对于图的遍历的两大基本方法是深度优先搜索DFS和广度优先搜索BFS,这里我们使用深度优先搜索DFS来解答此题:

/** * Definition for undirected graph. * struct UndirectedGraphNode { *     int label; *     vector<UndirectedGraphNode *> neighbors; *     UndirectedGraphNode(int x) : label(x) {}; * }; */class Solution {public:    UndirectedGraphNode *cloneGraph(UndirectedGraphNode *node) {        unordered_map<int, UndirectedGraphNode*> umap;        return clone(node, umap);    }    UndirectedGraphNode *clone(UndirectedGraphNode *node, unordered_map<int, UndirectedGraphNode*> &umap) {        if (!node) return node;        if (umap.count(node->label)) return umap[node->label];        UndirectedGraphNode *newNode = new UndirectedGraphNode(node->label);        umap[node->label] = newNode;        for (int i = 0; i < node->neighbors.size(); ++i) {            (newNode->neighbors).push_back(clone(node->neighbors[i], umap));        }        return newNode;    } };

参考资料:
http://www.cnblogs.com/grandyang/p/4267628.html

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