Cod sursa(job #3215841)

Utilizator PetraPetra Hedesiu Petra Data 15 martie 2024 13:31:22
Problema Ciclu hamiltonian de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.05 kb
#include <bits/stdc++.h>

#define NMAX 18
#define inf 0x3f3f3f3f

using namespace std;

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

int n, m, dp[(1<<NMAX)+2][NMAX], a[NMAX][NMAX];
vector<int> G[NMAX];

void read_data()
{
    fin >> n >> m;
    for (int i = 1; i <= m; i++)
    {
        int x, y, c;
        fin >> x >> y >> c;
        G[y].push_back(x);
        a[x][y] = c;
    }
}

int main()
{
    read_data();
    memset(dp, 0x3f, sizeof(dp));

    dp[1][0] = 0;
    for (int i = 1; i < (1<<n); i++)
    {
        for (int j = 1; j <= n; j++)
        {
            if ((i & (1 << j)) == 0) continue;
            for (auto it : G[j])
            {
                if ((i & (1 << it)) == 0) continue;
                dp[i][j] = min(dp[i][j], dp[i^(1<<j)][it] + a[it][j]);
            }
        }
    }

    int sol = inf;
    for (auto it : G[0])
        sol = min(sol, dp[(1<<n)-1][it] + a[it][0]);

    if (sol == inf)
        fout << "Nu exista solutie";
    else fout << sol;
    return 0;
}