Day 96, ##, Topological Sorting

Topological Sorting 

Given an directed graph, a topological order of the graph nodes is defined as follow:

• For each directed edge A-->B in graph, A must before B in the order list.
• The first node in the order can be any node in the graph with no nodes direct to it.

Find any topological order for the given graph.

Note

You can assume that there is at least one topological order in the graph.

Example

For graph as follow:

The topological order can be:
[0, 1, 2, 3, 4, 5]
or
[0, 2, 3, 1, 5, 4]
or
....

Challenge

Can you do it in both BFS and DFS?

----------------------------------------------------------------------------
 DFS

/**
 * Definition for Directed graph.
 * struct DirectedGraphNode {
 *     int label;
 *     vector<DirectedGraphNode *> neighbors;
 *     DirectedGraphNode(int x) : label(x) {};
 * };
 */
class Solution {
public:
    /**
     * @param graph: A list of Directed graph node
     * @return: Any topological order for the given graph.
     */
     
    void dfs(DirectedGraphNode * node, vector<DirectedGraphNode*> &rt,unordered_set<DirectedGraphNode*> &visit) {
        visit.insert(node);
        for (int i = 0; i < node->neighbors.size(); i++) {
            if (visit.find(node->neighbors[i]) == visit.end()) {
                dfs(node->neighbors[i], rt, visit);
            }
        }
        
        rt.push_back(node);
    }
     
    vector<DirectedGraphNode*> topSort(vector<DirectedGraphNode*> graph) {
        // write your code here
        vector<DirectedGraphNode*> rt;
        unordered_set<DirectedGraphNode*> visit;
        
        for (int i = 0; i < graph.size(); i++) {
            if (visit.find(graph[i]) == visit.end()) {
                dfs(graph[i],rt,visit);
            }
        }
        
        reverse(rt.begin(),rt.end());
        return rt;
    }
};