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Copy pathDijkstra's Algorithm.cpp
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Dijkstra's Algorithm.cpp
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#include<bits/stdc++.h>
using namespace std;
void display(vector<vector<int>>g){
for(int i=0;i<g.size();i++){
for(int j=0;j<g[i].size();j++)
{
cout<<g[i][j]<<" ";
}
cout<<endl;
}
cout<<endl;
}
int min_distance(int distance[],bool s[],int n){
int ind;
int min_d=INT_MAX;
for(int i=0;i<n;i++){
if(s[i]==false && min_d>=distance[i]){
ind=i;
min_d=distance[i];
}
}
return ind;
}
void disp(int dist[],int n)
{
printf("Vertex \t\t Distance from Source\n");
for (int i = 0; i < n; i++)
printf("%d \t\t %d\n", i, dist[i]);
}
void dijkstra(vector<vector<int>>g,int src){
int n=g.size();
int distance[n];
bool s[n];
for(int i=0;i<n;i++){
s[i]=false;
distance[i]=INT_MAX;
}
distance[src]=0;
for(int i=0;i<n;i++){
int u=min_distance(distance,s,n);
s[u]=true;
for (int v = 0; v < n; v++)
if (s[v]==false && g[u][v] && distance[u] != INT_MAX && distance[u] + g[u][v] < distance[v])
distance[v] = distance[u] + g[u][v];
}
disp(distance,n);
}
int main(){
vector<vector<int>>g= { { 0, 4, 0, 0, 0, 0, 0, 8, 0 },
{ 4, 0, 8, 0, 0, 0, 0, 11, 0 },
{ 0, 8, 0, 7, 0, 4, 0, 0, 2 },
{ 0, 0, 7, 0, 9, 14, 0, 0, 0 },
{ 0, 0, 0, 9, 0, 10, 0, 0, 0 },
{ 0, 0, 4, 14, 10, 0, 2, 0, 0 },
{ 0, 0, 0, 0, 0, 2, 0, 1, 6 },
{ 8, 11, 0, 0, 0, 0, 1, 0, 7 },
{ 0, 0, 2, 0, 0, 0, 6, 7, 0 } };
display(g);
dijkstra(g,0);
return 0;
}