Cod sursa(job #2850294)

Utilizator rapidu36Victor Manz rapidu36 Data 16 februarie 2022 16:20:28
Problema Ciclu hamiltonian de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.58 kb
#include <fstream>

using namespace std;

const int N = 18;
const int INF = 1e9;

int c[N][N], dp[1<<N][N];

int main()
{
    ifstream in("hamilton.in");
    ofstream out("hamilton.out");
    int n, m;
    in >> n >> m;
    for (int i = 0; i < n; i++)
    {
        for (int j = 0; j < n; j++)
        {
            if (i != j)
            {
                c[i][j] = INF;
            }
        }
    }
    for (int i = 0; i < m; i++)
    {
        int x, y, cc;
        in >> x >> y >> cc;
        c[x][y] = cc;
    }
    in.close();
    for (int i = 0; i < (1 << n); i++)
    {
        for (int j = 0; j < n; j++)
        {
            dp[i][j] = INF;
        }
    }
    dp[1][0] = 0;
    for (int i = 1; i < (1 << n); i += 2)
    {
        for (int j = 0; j < n; j++)
        {
            if ((1 << j) & i)///j apartine i, deci are sens dp[i][j]
            {
                for (int k = 0; k < n; k++)
                {
                    if (!((1 << k) & i) && c[j][k] != INF)///k e un succesor al lui j
                    {
                        int ii = (i | (1 << k));
                        dp[ii][k] = min(dp[ii][k], dp[i][j] + c[j][k]);
                    }
                }
            }
        }
    }

    int rez = INF;
    for (int j = 1; j < n; j++)
    {
        if (c[j][0] != INF)
        {
            rez = min(rez, dp[(1<<n) - 1][j] + c[j][0]);
        }
    }
    if (rez == INF)
    {
        out << "Nu exista solutie";
    }
    else
    {
        out << rez;
    }
    out.close();
    return 0;
}