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#include<stdio.h>
#include<vector>
#include<utility>
#include<algorithm>
using namespace std;
FILE *in, *out;
//definitions
#define pb push_back
#define pii pair<int,int>
#define mp make_pair
//constants
const int sz = 18;
const int oo = (1<<30)-1;
//variables
int nodes, edges;
int node1, node2, cost;
vector<pii> graph[sz];
bool viz[sz];
int solution = oo;
int sum;
int taken;
//functions
void dfs(int node);
int main(void)
{
in = fopen("hamilton.in", "rt");
out = fopen("hamilton.out", "wt");
fscanf(in,"%d%d", &nodes, &edges);
while(edges--)
{
fscanf(in,"%d%d%d", &node1, &node2, &cost);
graph[node1].pb(mp(node2,cost));
}
taken =1;
dfs(0);
if(solution!=oo)
fprintf(out, "%d", solution);
else
fprintf(out,"Nu exista solutie");
fclose (in);
fclose(out);
return 0;
}
void dfs(int node)
{
viz[node] = true;
if(taken == nodes)
{
//viz[node] = false;
vector<pii> :: iterator it2, end2=graph[node].end();
for( it2=graph[node].begin(); it2!=end2; ++it2)
if(it2->first == 0)
{
sum+=it2->second;
if(sum < solution)
solution = sum;
sum-=it2->second;
break;
}
}
vector<pii> :: iterator it, end=graph[node].end();
for( it=graph[node].begin(); it!=end; ++it)
{
if(!viz[it->first])
{
sum+=it->second;
taken++;
dfs(it->first);
viz[it->first] = false;
sum-=it->second;
taken--;
}
}
}