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SPOJ-MTOTALF - Total Flow.cpp
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SPOJ-MTOTALF - Total Flow.cpp
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#include<bits/stdc++.h>
using namespace std;
const int mx=129;
typedef unsigned long long int ll;
ll resgraph[mx][mx];
int parent[mx];
ll mx_flow=0;
bool bfs(int s,int t)
{
bool visited[mx]={false};
queue<int>q;
q.push(s);
visited[s]=true;
parent[s]=-1;
while(!q.empty())
{
int u=q.front();
q.pop();
for(int v=0;v<129;v++)
{
if(visited[v]==false && resgraph[u][v]>0)
{
q.push(v);
parent[v]=u;
visited[v]=true;
}
}
}
return (visited[t]==true);
}
void fordFulker(int s,int t)
{
int v;
while(bfs(s,t)==true)
{
ll path_flow=INT_MAX;
for(v=t;v!=s;v=parent[v])
{
int u=parent[v];
path_flow=min(path_flow,resgraph[u][v]);
}
for(v=t;v!=s;v=parent[v])
{
int u=parent[v];
resgraph[u][v]-=path_flow;
resgraph[v][u]+=path_flow;
}
//cout<<path_flow<<endl;
mx_flow=mx_flow+path_flow;
}
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
memset(resgraph,0,sizeof(resgraph));
int m,v,u,n;
char a,b;
ll c;
cin>>n;
while(n--)
{
cin>>a>>b>>c;
resgraph[(int)a][(int)b]+=c;
}
char s,t;
s='A';
t='Z';
fordFulker((int)s,(int)t);
cout<<mx_flow<<'\n';
}