Cod sursa(job #3188789)

Utilizator rarestudurTudur Rares rarestudur Data 3 ianuarie 2024 20:26:26
Problema Ciclu hamiltonian de cost minim Scor 20
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.44 kb
#include <fstream>
#include <vector>
using namespace std;

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


const int NMAX = 18;
const int MMAX = 18 * 17 + 1;
const int INF = 1e9 + 1;

vector<pair<int,int>> G[NMAX];

int dp[MMAX][NMAX],n,m;

int ciclu_hamiltonian_cost_minim()
{
    dp[1][0] = 0;
    for(int masca = 0; masca < (1 << n); masca++)
    {
        for(int i = 0; i < n; i++)
        {
            if((masca & (1 << i)) != 0)
            {
                for(auto next : G[i])
                {
                    if((masca & (1 << next.first)) != 0)
                    {
                        dp[masca][i] = min(dp[masca][i],dp[masca ^ (1 << i)][next.first] + next.second);
                    }
                }
            }
        }
    }
    int cost_minim = INF;
    for(auto nod : G[0])
    {
        cost_minim = min(cost_minim,dp[(1 << n) - 1][nod.first] + nod.second);
    }
    return cost_minim;
}

int main(int argc, const char * argv[])
{
    in >> n >> m;
    for(int i = 0; i < m; i++)
    {
        int x,y,c;
        in >> x >> y >> c;
        G[x].push_back({y,c});
    }
    in.close();
    for (int i = 0; i < (1 << n); i++)
    {
        for (int j = 0; j < n; j++)
        {
            dp[i][j] = INF;
        }
    }
    int cost_minim = ciclu_hamiltonian_cost_minim();
    if(cost_minim == INF)
    {
        out << "Nu exista solutie\n";
    }
    else
    {
        out << cost_minim << "\n";
    }
    return 0;
}