Cod sursa(job #3155943)

Utilizator IvanAndreiIvan Andrei IvanAndrei Data 10 octombrie 2023 11:46:00
Problema Ciclu hamiltonian de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.42 kb
#include <fstream>
#include <vector>

using namespace std;

ifstream in ("hamilton.in");
ofstream out ("hamilton.out");

const int max_size = (1 << 18) + 3, INF = 2e9 + 1;

int cost[19][19], dp[max_size][19];
vector <int> mc[19];

int main ()
{
    int n, m;
    in >> n >> m;
    for (int i = 0; i < n; i++)
    {
        for (int j = 0; j < n; j++)
        {
            cost[i][j] = INF;
        }
    }
    for (int i = 0; i < (1 << n); i++)
    {
        for (int j = 0; j < n; j++)
        {
            dp[i][j] = INF;
        }
    }
    while (m--)
    {
        int x, y, c;
        in >> x >> y >> c;
        cost[x][y] = min(cost[x][y], c);
        mc[y].push_back(x);
    }
    dp[1][0] = 0;
    for (int i = 0; i < (1 << n); i++)
    {
        for (int j = 0; j < n; j++)
        {
            if ((i & (1 << j)) != 0)
            {
                for (auto f : mc[j])
                {
                    if ((i & (1 << f)) != 0)
                    {
                        dp[i][j] = min(dp[i][j], dp[i ^ (1 << j)][f] + cost[f][j]);
                    }
                }
            }
        }
    }
    int ans = INF;
    for (auto f : mc[0])
    {
        ans = min(ans, dp[(1 << n) - 1][f] + cost[f][0]);
    }
    if (ans == INF)
    {
        out << "Nu exista solutie";
        return 0;
    }
    out << ans;
    in.close();
    out.close();
    return 0;
}