Cod sursa(job #3311519)

Utilizator razvanmrt_06Mariuta Razvan razvanmrt_06 Data 22 septembrie 2025 20:47:26
Problema Ciclu hamiltonian de cost minim Scor 90
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.36 kb
#include <fstream>
#include <climits>

using namespace std;

int n, m, cost[20][20], dp[20][1 << 20];
// dp[i][mask] = costul minim de la 0 la i prin drumul mask

void Hamilton()
{
    for (int i = 0; i < n; i++)
    {
        for (int j = 0; j < (1 << n); j++)
        {
            dp[i][j] = INT_MAX;
        }
    }
    dp[0][1] = 0;
}

int main()
{
    ifstream fin("hamilton.in");
    ofstream fout("hamilton.out");
    fin >> n >> m;
    int x, y, c;
    while (m--)
    {
        fin >> x >> y >> c;
        cost[x][y] = c;
    }
    Hamilton();
    for (int mask = 1; mask < (1 << n); mask++)
    {
        for (int i = 0; i < n; i++)
        {
            if (dp[i][mask] == INT_MAX)
            {
                continue;
            }
            for (int vec = 0; vec < n; vec++)
            {
                if (!(mask & (1 << vec)) && cost[i][vec])
                {
                    dp[vec][mask + (1 << vec)] = min(dp[vec][mask + (1 << vec)],
                                                    dp[i][mask] + cost[i][vec]);
                }
            }
        }
    }
    int sol = INT_MAX;
    for (int i = 0; i < n; i++)
    {
        if (cost[i][0])
        {
            sol = min(sol, dp[i][(1 << n) - 1] + cost[i][0]);
        }
    }
    if (sol == INT_MAX)
    {
        fout << "Nu exista solutie";
    }
    else
    {
        fout << sol;
    }
    return 0;
}