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#include <iostream>
#include <fstream>
#include <vector>
using namespace std;
ifstream f ("hamilton.in");
ofstream g ("hamilton.out");
const int NMAX = 18 + 1 + 1;
const int INF = 0X3fffffff;
int n, m;
vector < pair <int, int> > graf[NMAX];
int d1[NMAX];
int sol[NMAX][1 << NMAX];
void citeste() {
int a, b, c;
f >> n >> m;
for (int i = 1; i <= m; i++) {
f >> a >> b >> c;
a++; b++;
graf[a].push_back(make_pair(b, c));
if (b == 1) d1[a] = c;
}
}
int hamilton (int nod, int configuratie) {
if(sol[nod][configuratie] != 0) return sol[nod][configuratie];
if (configuratie == (1 << (n + 1)) - 2) { //am ajuns la final (1111110)
if (d1[nod] != 0) sol[nod][configuratie] = d1[nod];
else sol[nod][configuratie] = INF; // nu e o solutie
}
else {
int minim = INF, crt, l = graf[nod].size(), fiu, c;
for (int i = 0; i < graf[nod].size(); i++) {
fiu = graf[nod][i].first;
c = graf[nod][i].second;
if((configuratie & (1 << fiu)) == 0) {
crt = c + hamilton(fiu, configuratie ^ (1 << fiu));
minim = min(minim, crt);
}
}
sol[nod][configuratie] = minim;
}
return sol[nod][configuratie];
}
int main() {
citeste();
int c = hamilton(1, 1 << 1);
if (c == INF) g << "Nu exista solutie";
else g << c;
g << '\n';
return 0;
}