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Copy pathFind the Shortest Path in Undirected Graph.cpp
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Find the Shortest Path in Undirected Graph.cpp
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#include <iostream>
#include <algorithm>
#include <map>
#include <queue>
#include <vector>
using namespace std;
class Graph {
private:
map <int, vector<int>> graph;
map <int, bool> visited;
map <int, int> parent;
vector <int> result;
queue <int> Q;
void path(int src, int srcParent = -1){
Q.push(src);
visited[src] = true;
parent[src] = srcParent;
}
public:
void addEdge(int u, int v){
graph[u].push_back(v);
graph[v].push_back(u);
}
void print(){
for(auto u:graph){
cout << "[" << u.first << "] => ";
for(int i = 0; i < u.second.size(); i++){
cout << (i == 0 ? "[" : ", ");
cout << u.second[i];
if(i == u.second.size()-1) cout << "]";
}
cout << endl;
}
}
void shortestPath(int src, int destination){
path(src);
while(!Q.empty()){ // BFS
for(auto v:graph[Q.front()]){
if(!visited[v]) path(v, Q.front());
}
Q.pop();
}
if(!visited[src] || !visited[destination]){
cout << "src or Destination doesn't exist in the Graph" << endl;
} else {
int p = parent[destination];
result.push_back(destination);
while(p != -1){
result.push_back(p);
p = parent[p];
}
reverse(result.begin(), result.end());
// Print
for(int i = 0; i < result.size(); i++){
if(i != 0) cout << " => ";
cout << result[i];
}
cout << endl;
}
}
};
int main(){
Graph G;
G.addEdge(1, 2);
G.addEdge(1, 3);
G.addEdge(1, 4);
G.addEdge(2, 5);
G.addEdge(3, 8);
G.addEdge(4, 6);
G.addEdge(5, 8);
G.addEdge(6, 7);
G.addEdge(7, 8);
cout << "Adjacency List: " << endl;
G.print();
cout << endl << "Shortest Path: ";
G.shortestPath(1, 8);
}