#include <iostream>
#include <vector>
#include <fstream>
#include <queue>
#include <stack>
#include <algorithm>
#define nmax 100010
#define inf 1 << 30
using namespace std;
ifstream f("hamilton.in");
ofstream g("hamilton.out");
class Graf{
private:
vector<vector<int>> la;
vector<vector<int>> la_t;
int par[nmax];
int dim[nmax];
vector<int> topo;
int dist[nmax] = {-1};
bool viz[nmax] = {false};
int n, m, componente_conexe;
public:
Graf(): n(0), m(0), componente_conexe(0){ }
Graf(int x, int y = 0): n(x), m(y), componente_conexe(0){ }
Graf(int x, int y, const vector<vector<int>>& v): n(x), m(y), componente_conexe(0), la(v) { }
void dfs(int nod)
{
viz[nod] = true;
for(auto i : la[nod])
if(!viz[i])
dfs(i);
}
int nr_componente()
{
for(int i = 1; i <= n; i++)
if(!viz[i]) {
dfs(i);
componente_conexe++;
}
return componente_conexe;
}
void bfs(int nod)
{
int c[nmax],p = 0,u = -1;
c[++u] = nod;
dist[nod] = 0;
while(p <= u)
{
int x = c[p];
for(auto i:la[x])
if(dist[i] == -1)
{
c[++u] = i;
dist[i] = dist[x] + 1;
}
p++;
}
}
void gol_viz()
{
for(int i = 1; i <= n; i++)
viz[i] = false;
}
void ctc(int nr_comp, int comp[], const vector<vector<int>>& ctc)
{
gol_viz();
for(int i = 1; i <= n; i++)
if(!viz[i])
sorare_topologica(i);
reverse(topo.begin(), topo.end());
for(auto i:topo)
{
if(comp[i] == 0)
{
nr_comp++;
gol_viz();
dfs_t(i, nr_comp, ctc, comp);
}
}
}
void dfs_t(int nod, int nr_comp, vector<vector<int>> ctc, int comp[])
{
viz[nod] = true;
comp[nod] = nr_comp;
ctc[nr_comp].push_back(nod);
for(auto i:la_t[nod])
if(!viz[i])
dfs_t(i, nr_comp, ctc, comp);
}
void sorare_topologica(int nod)
{
viz[nod] = true;
for(auto i:la[nod])
{
if(viz[i] == 0)
sorare_topologica(i);
}
topo.push_back(nod);
}
bool hakimi(vector<int> &grade)
{
sort(grade.begin(), grade.end(), greater<>());
while(!grade.empty())
{
if(grade[0] + 1 > grade.size())
return false;
for(int i = 1; i <= grade[0]; ++i)
{
grade[i]--;
if(grade[i] < 0)
return false;
}
grade.erase(grade.begin());
sort(grade.begin(), grade.end(), greater<>());
}
return true;
}
void init()
{
for(int i = 1;i <= n;++i) {
par[i] = i;
dim[i] = 1;
}
}
int find(int x) {
int xx = x, aux;
while(x != par[x]) {
x = par[x];
}
while(xx != x){
aux = par[xx];
par[xx] = x;
xx = aux;
}
return x;
}
void unite(int x, int y)
{
x = find(x);
y = find(y);
if(dim[x] >= dim[y])
{
par[y] = x;
dim[x] += dim[y];
}
else
{
par[y] = x;
dim[y] += dim[x];
}
}
vector<pair<int, pair<int, int>>> kruskal(vector<pair<int, pair<int, int>>>& muchii)
{
vector<pair<int, pair<int, int>>> solutie;
sort(muchii.begin(), muchii.end());
init();
for(auto &muchie : muchii)
{
if(find(muchie.second.first) != find(muchie.second.second))
{
unite(muchie.second.first, muchie.second.second);
solutie.push_back({muchie.first, {muchie.second.first, muchie.second.second}});
}
}
return solutie;
}
vector<int> bellman_ford(int start, vector<pair<int, int>> g[])
{
vector<int> D(nmax / 2, 1 << 30);
vector<int> cnt(nmax / 2);
queue<int> q;
q.push(start);
D[start] = 0;
bool are_ciclu = false;
while(!q.empty() && !are_ciclu){
int nod = q.front();
q.pop();
viz[nod] = false;
for(auto x : g[nod]){
if(D[nod] + x.second < D[x.first]){
if(!viz[x.first]){
q.push(x.first);
cnt[x.first]++;
viz[x.first] = true;
if(cnt[x.first] > n)
are_ciclu = true;
}
D[x.first] = D[nod] + x.second;
}
}
}
if(are_ciclu)D[start] = -1;
return D;
}
vector<int> dijkstra(int start, vector<pair<int, int>> g[])
{
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> q;
vector<int> D(nmax / 2, 1 << 30);
D[start] = 0;
q.push({0, start});
while(!q.empty()){
int nod = q.top().second;
q.pop();
if (!viz[nod]) {
viz[nod] = true;
for (auto x : g[nod])
if (D[nod] + x.second < D[x.first]) {
D[x.first] = D[nod] + x.second;
q.push({D[x.first], x.first});
}
}
}
return D;
}
void royfloyd(int c[][105]) const{
for(int k = 1; k <= n; k++)
for(int i = 1; i <= n; i++)
for(int j = 1; j <= n; j++)
if(c[i][k] + c[k][j] < c[i][j])
c[i][j] = c[i][k] + c[k][j];
}
void dfs_diametru(int x, int d, int &dmax, int &nodmax){
if (d > dmax){
dmax = d;
nodmax = x;
}
viz[x] = true;
for (auto i : la[x]){
if (!viz[i]){
dfs_diametru(i, d+1, dmax, nodmax);
}
}
}
int diametru(){
int nodmax = 0, dmax = 0;
dfs_diametru(1,0,dmax,nodmax);
int nod1 = nodmax;
gol_viz();
dmax = 0;
nodmax = 0;
dfs_diametru(nod1, 0, dmax, nodmax);
return dmax + 1;
}
void ciclu_Eulerian(int start, vector<pair<int, int>> l[], vector<int> &c){
stack <int> stiva;
//gol_viz();
stiva.push(start);
while(!stiva.empty())
{
int nod = stiva.top();
if(!l[nod].empty())
{
int vecin = l[nod].back().first;
int nrMuchie = l[nod].back().second;
l[nod].pop_back();
if(!viz[nrMuchie])
{
viz[nrMuchie] = true;
stiva.push(vecin);
}
}
else
{
c.push_back(nod);
stiva.pop();
}
}
}
void rez_Euler(vector<pair<int, int>> l[]){
vector <int> ciclu;
for(int i = 0; i <= n; i++)
{
if(l[i].size() % 2 == 1)
{
g << "-1";
return;
}
}
ciclu_Eulerian(1, l, ciclu);
for(int i = 0; i < ciclu.size() - 1; i++)
{
g << ciclu[i] << " ";
}
}
int HamiltonianMin(const vector<vector<int>>& cost){
vector<vector<int>> c(1 << n);
for (int i = 0; i < 1 << n; ++i){
c[i].resize(n, inf);
}
c[1][0] = 0;
for(int i = 1; i < 1 << n; i++){
for(int j = 0; j < n; j++){
if(c[i][j] != inf){
for(auto &k : la[j]) {
if(!(i & (1 << k))){
c[i | (1 << k)][k] = min(c[i | (1 << k)][k], c[i][j] + cost[j][k]);
}
}
}
}
}
vector<int> penult;
int mn = inf;
for(int i = 0; i < n ; i++)
for(auto &k : la[i])
if(k == 0)penult.push_back(i);
for(auto &k : penult){
mn = min(mn, c[(1 << n) - 1][k] + cost[k][0]);
}
return mn;
}
};
int main()
{
int n, m, x, y, c;
f >> n >> m;
vector<vector<int>> la(n);
vector<vector<int>> cost(n);
for(int i = 0; i < n; i++) {
cost[i].resize(n, inf);
}
for(int i = 1; i <= m; i++){
f >> x >> y >> c;
la[x].push_back(y);
la[y].push_back(x);
cost[x][y] = c;
}
Graf graf(n, m, la);
int mn = graf.HamiltonianMin(cost);
if(mn == inf) g << "Nu exista solutie";
else g << mn;
return 0;
}