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Cod sursa(job #570546)
#include <stdio.h>
#include <string.h>
#include <queue>
#include <vector>
#define NMAX 65
#define INF 1000000000
#define pb push_back
using namespace std;
int n,m,A[NMAX][NMAX],in[NMAX],out[NMAX],B[NMAX],rez,C[NMAX][NMAX],F[NMAX][NMAX];
int sursa,dest,dad[NMAX],dist[NMAX];
vector <int> D[NMAX];
queue <int> Q;
char ok,marc[NMAX];
void read()
{
scanf("%d%d",&n,&m);
int i,x,y,z;
for (i=1; i<=m; i++)
{
scanf("%d%d%d",&x,&y,&z);
A[x][y]=z;
out[x]++; in[y]++;
rez+=z;
}
}
void roy_floyd()
{
int i,j,k;
for (k=1; k<=n; k++)
for (i=1; i<=n; i++)
for (j=1; j<=n; j++)
if (i!=j && A[i][k] && A[k][j])
if (!A[i][j] || A[i][j]>A[i][k]+A[k][j])
A[i][j]=A[i][k]+A[k][j];
}
void make_graph()
{
int i,j;
for (i=1; i<=n; i++)
if (out[i]<in[i])
for (j=1; j<=n; j++)
if (in[j]<out[j] && A[i][j]>0)
{
D[i].pb(j); D[j].pb(i);
A[j][i]=-A[i][j];
C[i][j]=INF;
}
for (i=1; i<=n; i++)
{
if (out[i]<in[i])
{
D[0].pb(i),D[i].pb(0);
C[0][i]=in[i]-out[i];
}
if (in[i]<out[i])
{
D[i].pb(n+1),D[n+1].pb(i);
C[i][n+1]=out[i]-in[i];
}
}
sursa=0; dest=n+1;
}
inline int min(int x,int y)
{
return x<y ? x : y;
}
int bford()
{
int i,nod,vec;
for (i=1; i<=n; i++)
dist[i]=INF;
dist[dest]=INF;
Q.push(sursa); marc[sursa]=1;
while (!Q.empty())
{
nod=Q.front();
Q.pop();
marc[nod]=0;
for (i=0; i<D[nod].size(); i++)
{
vec=D[nod][i];
if (C[nod][vec]-F[nod][vec]>0 && dist[vec]>dist[nod]+A[nod][vec])
{
dist[vec]=dist[nod]+A[nod][vec];
dad[vec]=nod;
if (!marc[vec])
Q.push(vec),marc[vec]=1;
}
}
}
if (dist[dest]!=INF)
{
ok=1;
int val=INF;
for (i=dest; i!=sursa; i=dad[i])
val=min(val,C[dad[i]][i]-F[dad[i]][i]);
for (i=dest; i!=sursa; i=dad[i])
{
F[dad[i]][i]+=val;
F[i][dad[i]]-=val;
}
return val*dist[dest];
}
return 0;
}
void solve()
{
make_graph();
ok=1;
while (ok)
{
ok=0;
rez+=bford();
}
}
int main()
{
freopen("traseu.in","r",stdin);
freopen("traseu.out","w",stdout);
read();
roy_floyd();
solve();
printf("%d\n",rez);
return 0;
}