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54 changes: 54 additions & 0 deletions Flyod-Warshall.cpp
Original file line number Diff line number Diff line change
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#include<iostream>
#include<vector>
using namespace std;
#define endl '\n'

const int INF = 1e9;
int n;
vector<vector<int> >graph;
vector<vector<int> >distance;

// Creating the Matrix ( graph)

void create_graph(){
cin>>n;
graph = vector<vector<int> >(n+1,vector<int>(n+1));

for(int i=1;i<=n;i++){
for(int j=1;j<=n;j++)cin>>graph[i][j];
}
}

//Using Flyod Warshall algorithm to calculate all point shortest distance

void calculate(){
distance = vector<vector<int> >(n+1,vector<int>(n+1,INF));

for(int i=1;i<=n;i++){
for(int j=1;j<=n;j++)distance[i][j]=graph[i][j];
}

for(int k=1;k<=n;k++){
for(int i=1;i<=n;i++){
for(int j=1;j<=n;j++){
if(distance[i][j]>distance[i][k] + distance[k][j]){
distance[i][j] = distance[i][k] + distance[k][j];
}
}
}
}
}
void solve(){
create_graph();
calculate();
int start_point,end_point;
cin>>start_point>>end_point;

cout<<distance[start_point][end_point]<<endl;

}

int main() {
ios_base::sync_with_stdio(false); cin.tie(NULL);
solve();
}