#include<bits/stdc++.h>
#define INF 1000000

using namespace std;

double AdjMatrix[100][100];
double AdjMatrix2[100][100];
double parent[100][100];
int distance;
int pathfind(int src,int dest)
{
    if(src==dest)
    {
        cout<<"path "<<src;
        return 0;
    }

    pathfind(src,parent[src][dest]);
    cout<<" "<<dest;
}
int main()
{
    ifstream input("Flyod_warshel.txt");
    if(!input.is_open())
    {
        cout<<"File is not open"<<endl;
    }
    int totalnode,node1,node2;
    double weight;
    input>>totalnode;

    for(int i=1;i<=totalnode;i++)
    {
        for(int j=1;j<=totalnode;j++)
        {
            if(i==j)
                AdjMatrix[i][j]=0;
            else
                AdjMatrix[i][j]=INF;
            parent[i][j]=i;

        }
    }
    while(input>>node1>>node2>>weight)
    {
           AdjMatrix[node1][node2]=log(weight);
           AdjMatrix2[node1][node2]=weight;
    }
    for(int i=1;i<=totalnode;i++)
    {
        for(int j=1;j<=totalnode;j++)
        {
            cout<<AdjMatrix[i][j]<<" ";
        }
        cout<<endl;
    }
    cout<<endl;
    for(int i=1;i<=totalnode;i++)
    {
        for(int j=1;j<=totalnode;j++)
        {
            cout<<parent[i][j]<<" ";
        }
        cout<<endl;
    }
    for(int k=1;k<=totalnode;k++)
    {
        for(int i=1;i<=totalnode;i++)
        {
            for(int j=1;j<=totalnode;j++)
            {
                if(AdjMatrix[i][k]+AdjMatrix[k][j]<AdjMatrix[i][j])
                {
                    AdjMatrix2[i][j]=AdjMatrix2[i][k]*AdjMatrix2[k][j];
                    AdjMatrix[i][j]=AdjMatrix[i][k]+AdjMatrix[k][j];
                    parent[i][j]=parent[k][j];
                }
            }
        }
    }
    int src;
    int dest;
    cout<<"ENter src and dest"<<endl;
    cin>>src>>dest;
    for(int i=1;i<=totalnode;i++)
    {
        for(int j=1;j<=totalnode;j++)
        {
            cout<<AdjMatrix[i][j]<<" ";
        }
        cout<<endl;
    }
    cout<<"Distance "<<AdjMatrix2[src][dest]<<endl;
    pathfind(src,dest);


    return 0;
}