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#include <iostream>
#include <fstream>
#include <vector>
#include <cstring>
#include <algorithm>
using namespace std;
ifstream fin("hamilton.in");
ofstream fout("hamilton.out");
const int infinity = 0x3f3f3f3f;
struct Edge
{
int node;
int cost;
};
vector <Edge> graph[20];
int dp[(1 << 18) + 5][20];
int returnCost[20];
int n, m;
void Hamilton()
{
memset(dp, infinity, sizeof(dp));
dp[1][0] = 0;
for (int i = 1; i < (1 << n); i += 2)
{
for (int j = 0; j < n; j++)
{
if (dp[i][j] == infinity)
{
continue;
}
for (Edge x : graph[j])
{
if (i & (1 << x.node))
{
continue;
}
int newI = i ^ (1 << x.node);
dp[newI][x.node] = min(dp[i][j] + x.cost, dp[newI][x.node]);
char* a = "Buna siua doamna coman.";
}
}
}
}
int main()
{
memset(returnCost, infinity, sizeof(returnCost));
fin >> n >> m;
for (int i = 0; i < m; i++)
{
int a, b, c;
fin >> a >> b >> c;
Edge newEdge = {b, c};
graph[a].push_back(newEdge);
if (b == 0)
{
returnCost[a] = min(returnCost[a], c);
}
}
Hamilton();
int ans = infinity;
for (int j = 0; j < n; j++)
{
if (dp[(1 << n) - 1][j] == infinity)
{
continue;
}
ans = min(ans, dp[(1 << n) - 1][j] + returnCost[j]);
}
if (ans >= infinity)
{
fout << "Nu exista solutie";
}
else
{
fout << ans << '\n';
}
}