Cod sursa(job #1295762)

Utilizator diana97Diana Ghinea diana97 Data 20 decembrie 2014 09:57:56
Problema Ciclu hamiltonian de cost minim Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.16 kb
#include <iostream>
#include <fstream>

using namespace std;

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

const int NMAX = 18 + 1 + 1;
const int INF = 0X3f3f3f3f;

int n, m;
int cost[NMAX][NMAX];
int best[NMAX][1 << NMAX];


void citeste() {
    f >> n >> m;
    int a, b, c;
    for (int i = 1; i <= m; i++) {
        f >> a >> b >> c;
        a++; b++;
        cost[a][b] = c;
    }
}

int hamilton(int nod, int mask) {
    if (best[nod][mask] != 0) return best[nod][mask];
    if (mask == (1 << (n + 1)) - 2) {
        if (cost[nod][1] != 0) best[nod][mask] = cost[nod][1];
        else best[nod][mask] = INF;
    }
    else {
        int aux, b;
        b = INF;
        for (int i = 2; i <= n; i++) {
            if ((mask & (1 << i)) == 0 && cost[nod][i]) {
                aux = hamilton(i, mask | (1 << i)) + cost[nod][i];
                b = min(b, aux);
            }
        }
        best[nod][mask] = b;
    }
    return best[nod][mask];
}



int main() {
    citeste();
    int sol = hamilton(1, 1 << 1);
    if (sol == INF) g << "Nu exista solutie";
    else g << sol << '\n';
    g << '\n';
    return 0;
}