#include <cstdio>
#define DMAX 20
#define INF 2000000000
using namespace std;
int sol[DMAX], solmin[DMAX];
int cost, costmin;
int G[DMAX][DMAX];
bool uz[DMAX];
int n, m;
void citire();
void gen (int);
void afisare();
int main()
{
citire();
sol[1]=1; costmin=INF;
gen (2);
afisare();
return 0;
}
void citire()
{
FILE*fin=fopen ("hamilton.in", "r");
int i;
int a, b, c;
fscanf(fin, "%d %d", &n, &m);
for (i=1; i<=m; ++i)
{
fscanf(fin, "%d %d %d", &a, &b, &c);
++a; ++b;
G[a][b]=c;
}
fclose(fin);
return;
}
void gen (int k)
{
int i;
if (cost>=costmin) return;
if (k==n+1) //am completat tot
{
cost+=G[sol[n]][1];
if (cost<costmin && G[sol[n]][1])
{
costmin=cost;
for (i=1; i<=n; ++i)
solmin[i]=sol[i];
}
cost-=G[sol[n]][1];
return;
}
for (i=2; i<=n; ++i)
if (!uz[i] && G[sol[k-1]][i])
{
uz[i]=true;
sol[k]=i;
cost+=G[sol[k-1]][i];
gen (k+1);
uz[i]=false;
cost-=G[sol[k-1]][i];
}
}
void afisare()
{
FILE*fout=fopen ("hamilton.out", "w");
if (costmin!=INF)
fprintf(fout, "%d\n", costmin);
else
fprintf(fout, "Nu exista solutie\n");
fclose(fout);
return;
}