Clone Graph - Ryan的修炼之路
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 #.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 / \ \_/
广度优先搜索法
思路
用一个hashmap将原节点和复制的节点映射起来, 因为hashmap的存在 可以不用记录visited, 因为凡是便利过的都在map中
复杂度
一次便利时间O(n) 空间O(n)
代码
public UndirectedGraphNode cloneGraph(UndirectedGraphNode node) { if (node == null) { return null; } HashMap<UndirectedGraphNode, UndirectedGraphNode> map = new HashMap<UndirectedGraphNode, UndirectedGraphNode>(); map.put(node, new UndirectedGraphNode(node.label)); Queue<UndirectedGraphNode> queue = new LinkedList<UndirectedGraphNode>(); queue.offer(node); while (!queue.isEmpty()) { UndirectedGraphNode cur = queue.poll(); for (UndirectedGraphNode tem : cur.neighbors) {if (!map.containsKey(tem)) { queue.offer(tem); map.put(tem, new UndirectedGraphNode(tem.label));}map.get(cur).neighbors.add(map.get(tem)); } } return map.get(node);}
深度优先搜索
复杂度
时间O(n) 空间O(n)
代码
public UndirectedGraphNode cloneGraph(UndirectedGraphNode node) { if (node == null) { return null; } HashMap<UndirectedGraphNode, UndirectedGraphNode> map = new HashMap<UndirectedGraphNode, UndirectedGraphNode>(); map.put(node, new UndirectedGraphNode(node.label)); dfs(map, node); return map.get(node);}public void dfs(HashMap<UndirectedGraphNode, UndirectedGraphNode> map, UndirectedGraphNode node) { if (node == null) { return; } for (UndirectedGraphNode cur : node.neighbors) { if (!map.containsKey(cur)) {map.put(cur, new UndirectedGraphNode(cur.label));dfs(map, cur); } map.get(node).neighbors.add(map.get(cur)); }}