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86 changes: 86 additions & 0 deletions dijkstra'sAlgo.cpp
Original file line number Diff line number Diff line change
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// Graph - Dijkstra's Algorithm

#include<bits/stdc++.h>
#include<algorithm>
#include<iostream>
using namespace std;
#define INF 0x3f3f3f3f

class Graph
{
int V;
list<pair<int,int>>*adj;
public :
Graph(int V); //constructor
void addEdge(int u,int v,int wt);
void ShortestPath(int source);
};
Graph::Graph(int V)
{
this->V=V;
adj=new list< pair<int,int> >[V];
}
void Graph::addEdge(int u,int v,int wt)
{
adj[u].push_back(make_pair(v,wt));
adj[v].push_back(make_pair(u,wt));
}
void Graph::ShortestPath(int source)
{
vector<int> dist(V,INF);

set<pair<int,int>> setds;

setds.insert(make_pair(0,source));
dist[source]=0;

while(!setds.empty())
{
pair<int,int> temp=*(setds.begin());
setds.erase(setds.begin());

int u=temp.second;
list<pair<int,int>>::iterator i;
for(i=adj[u].begin();i!=adj[u].end();i++)
{
int v=(*i).first;
int weight=(*i).second;

if(dist[v]>dist[u]+weight)
{
if(dist[v]!=INF)
setds.erase(setds.find(make_pair(dist[v],v)));
dist[v]=dist[u]+weight;
setds.insert(make_pair(dist[v],v));
}
}
}
cout<<"Vertex distance from Source :\n";
for(int i=0;i<V;i++)
// cout<<" "<<i<<" "<<dist[i]<<"\n";
printf(" %d \t\t %d\n",i,dist[i]);
}
int main()
{
int V=9;
Graph g(V);

g.addEdge(0,1,4);
g.addEdge(0,7,8);
g.addEdge(1,2,8);
g.addEdge(7,6,1);
g.addEdge(7,8,7);
g.addEdge(2,8,2);
g.addEdge(8,6,6);
g.addEdge(2,3,7);
g.addEdge(2,5,4);
g.addEdge(6,5,2);
g.addEdge(3,5,14);
g.addEdge(3,4,9);
g.addEdge(5,4,10);

g.ShortestPath(0);

return 0;
}