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Cod sursa(job #581195)
#include<cstdio>
#include<queue>
#include<bitset>
#include<vector>
using namespace std;
#define pb push_back
const char in[]="traseu.in";
const char out[]="traseu.out";
const char Max_N = 65;
const int INF = 0x3f3f3f3f;
bitset<Max_N>in_Q;
vector<int>G[Max_N];
queue<int>Q;
int C[Max_N][Max_N], F[Max_N][Max_N], Cost[Max_N][Max_N];
int grad_In[Max_N], grad_Out[Max_N], dist[Max_N], T[Max_N];
int N, M, S, D;
int x, y, cost, nod;
int sol;
inline int min(int a, int b){return (a > b) ? b : a;}
bool Bellman_Ford()
{
in_Q.reset();
while(Q.size())Q.pop();
for(int i = 0 ; i <= D ; ++i)
{
dist[i] = INF;
T[i] = -1;
}
Q.push(S);
in_Q[S] = true;
dist[S] = 0;
while(Q.size())
{
nod = Q.front();
Q.pop();
in_Q[nod] = false;
for(unsigned i = 0 ; i < G[nod].size() ; ++i)
{
x = G[nod][i];
if(dist[x] > dist[nod] + Cost[nod][x] && C[nod][x] - F[nod][x] > 0)
{
dist[x] = dist[nod] + Cost[nod][x];
T[x] = nod;
if(!in_Q[x])
{
Q.push(x);
in_Q[x] = true;
}
}
}
}
return (dist[D] != INF);
}
int main()
{
freopen(in,"r",stdin);
freopen(out,"w",stdout);
scanf("%d %d", &N, &M);
for(int i = 1 ; i <= M ; ++i)
{
scanf("%d %d %d", &x, &y, &cost);
G[x].pb(y);
G[y].pb(x);
Cost[x][y] += cost;
Cost[y][x] -= cost;
C[x][y] = INF;
++grad_In[y];
++grad_Out[x];
}
S = 0;
D = N + 1;
for(int i = 1 ; i <= N ; ++i)
if(grad_In[i] < grad_Out[i])
{
G[D].pb(i);
G[i].pb(D);
C[i][D] = grad_Out[i] - grad_In[i];
}
else if(grad_In[i] > grad_Out[i])
{
G[S].pb(i);
G[i].pb(S);
C[S][i] = grad_In[i] - grad_Out[i];
}
int min_f;
while(Bellman_Ford())
{
min_f = INF;
for(int i = D ; i != S ; i = T[i])
min_f = min(min_f, C[T[i]][i] - F[T[i]][i]);
for(int i = D ; i != S ; i = T[i])
{
F[T[i]][i] += min_f;
F[i][T[i]] -= min_f;
}
sol += min_f * dist[D];
}
printf("%d\n", sol);
return 0;
}