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Cod sursa(job #791592)
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <vector>
#include <queue>
#include <algorithm>
using namespace std;
#define pb push_back
#define oo 0x3f3f3f3f
#define nmax 70
vector<int> G[nmax];
int Father[nmax], Dist[nmax], Cost[nmax][nmax], DegIn[nmax], DegOut[nmax];
int Capacity[nmax][nmax], CurrentFlow[nmax][nmax];
int N, M, X, Y, C, S, D, maxFlow, minFlow;
bool InQueue[nmax];
queue<int> Q;
bool BellmanFord()
{
for(int i = S; i <= D; i++)
Dist[i] = oo, Father[i] = -1, InQueue[i] = 0;
Dist[S] = 0;
Father[S] = S;
InQueue[S] = 1;
Q.push(S);
while(!Q.empty())
{
int node = Q.front(); Q.pop(); InQueue[node] = false;
for(vector<int> :: iterator it = G[node].begin(); it != G[node].end(); ++it)
if(Dist[*it] > Dist[node] + Cost[node][*it] && Capacity[node][*it] > CurrentFlow[node][*it])
{
Dist[*it] = Dist[node] + Cost[node][*it];
Father[*it] = node;
if(!InQueue[*it])
{
InQueue[*it] = 1;
Q.push(*it);
}
}
}
return (Dist[D] != oo);
}
int main()
{
freopen("traseu.in", "r", stdin);
freopen("traseu.out", "w", stdout);
int i, j, k;
scanf("%i %i", &N, &M);
for(i = 1; i <= N; i++)
for(j = 1; j <= N; j++)
Cost[i][j] = oo;
for(i = 1; i <= M; i++)
{
scanf("%i %i %i", &X, &Y, &C);
Cost[X][Y] = C;
DegOut[X] ++;
DegIn[Y] ++;
maxFlow += Cost[X][Y];
}
for(k = 1; k <= N; k++)
for(i = 1; i <= N; i++)
for(j = 1; j <= N; j++)
if(i != k && j != k && Cost[i][k] + Cost[k][j] < Cost[i][j])
Cost[i][j] = Cost[i][k] + Cost[k][j];
S = 0, D = N + 1;
for(i = 1; i <= N; i++)
{
if(DegIn[i] > DegOut[i])
{
G[S].pb(i), G[i].pb(S);
Capacity[S][i] = DegIn[i] - DegOut[i];
}
if(DegOut[i] > DegIn[i])
{
G[i].pb(D), G[D].pb(i);
Capacity[i][D] = DegOut[i] - DegIn[i];
}
}
for(i = 1; i <= N; i++)
for(j = 1; j <= N; j++)
if(DegIn[i] > DegOut[i] && DegOut[j] > DegIn[j])
{
G[i].pb(j), G[j].pb(i);
Capacity[i][j] = oo;
Cost[j][i] = -Cost[i][j];
}
int now = 0;
while(BellmanFord())
{
int minFlow = oo;
for(int node = D; node != S; node = Father[node])
minFlow = min(minFlow, Capacity[Father[node]][node] - CurrentFlow[Father[node]][node]);
for(int node = D; node != S; node = Father[node])
{
CurrentFlow[Father[node]][node] += minFlow;
CurrentFlow[node][Father[node]] -= minFlow;
}
maxFlow += Dist[D] * minFlow;
}
printf("%i\n", maxFlow);
return 0;
}