Problem

Given a directed graph, design an algorithm to find out whether there is a route between two nodes.

Example

Given graph:

A----->B----->C
      |
      |
      |
      v
     ->D----->E

for s = B and t = E, return true
for s = D and t = C, return false

Note

若s为有向图的终点,经过下一次dfs,会指向null,返回false;否则,只要s所有neighbors的深度搜索中包含满足条件的结果,就返回true。

Solution

public class Solution {
    public boolean hasRoute(ArrayList<DirectedGraphNode> graph, 
                            DirectedGraphNode s, DirectedGraphNode t) {
        Set<DirectedGraphNode> visited = new HashSet<DirectedGraphNode>();
        return dfs(s, t, visited);
    }
    public boolean dfs(DirectedGraphNode s, DirectedGraphNode t, Set<DirectedGraphNode> visited) {
        if (s == null) return false;
        if (s == t) return true;
        visited.add(s);
        for (DirectedGraphNode next: s.neighbors) {
            if (visited.contains(next)) continue;
            if (dfs(next, t, visited)) return true;
        }
        return false;
    }
}

BFS

public class Solution {
   public boolean hasRoute(ArrayList<DirectedGraphNode> graph, DirectedGraphNode s, DirectedGraphNode t) {
        if (s == t) return true;
        Deque<DirectedGraphNode> q = new ArrayDeque<>();
        q.offer(s);
        Set<DirectedGraphNode> visited = new HashSet<>();
        while (!q.isEmpty()) {
            DirectedGraphNode node = q.poll();
            visited.add(node);
            if (node == t) return true;
            for (DirectedGraphNode child : node.neighbors) {
                if (!visited.contains(child)) q.offer(child);
            }
        }
        return false;
    }
}

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