Arbitrage
Given below cpp code is for ARBITRAG spoj or arbitrage spoj.
Explanation :- simple Floyd-Warshall implementation.
#include <bits/stdc++.h>
using namespace std;
int main(){
for(int test = 1; ; test++){
int n;
scanf("%d",&n);
if(n == 0)
return 0;
map<string , int> m;
string s , source , dest;
for(int i = 0 ; i < n ; i++){
cin>>s;
m[s] = i;
}
int table;
cin>>table;
double dist[50][50] , cost ;
for(int i = 0 ; i < n ; i++){
for(int j = 0 ; j < n ; j++){
dist[i][j] = 0.0;
}
}
for(int i = 0 ; i < table ; i++){
cin>>source>>cost>>dest;
int x , y;
x = m[source];
y = m[dest];
dist[x][y] = cost;
}
//floyd warshall
for(int k = 0 ; k < n ; k++)
for(int i = 0 ; i < n ; i++)
for(int j = 0 ; j < n ; j++)
dist[i][j] = max(dist[i][j] , dist[i][k] * dist[k][j]);
int flag = 0;
for(int i = 0 ; i < n ; i++){
if(dist[i][i] > 1.0 ){
flag = 1;
break;
}
}
if(flag)
cout<<"Case "<<test<<": Yes\n";
else
cout<<"Case "<<test<<": No\n";
}
}
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