Cod sursa(job #3138819)

Utilizator SergetecLefter Sergiu Sergetec Data 22 iunie 2023 15:07:59
Problema Ciclu hamiltonian de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.39 kb
/*
 * Lefter Sergiu - 22/06/2023
*/
#include <fstream>

using namespace std;

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

const int N = 18;
const int INF = 1e8;

int n, m, cost[N + 1][N + 1];
int dp[1<<N][N];

int main() {
    in >> n >> m;
    for (int i = 0; i < n; ++i) {
        for (int j = i + 1; j < n; ++j) {
            cost[i][j] = cost[j][i] = INF;
        }
    }
    for (int i = 0; i < m; ++i) {
        int x, y;
        in >> x >> y;
        in >> cost[x][y];
    }
    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 (dp[i][j] != INF) { //avem drum de la 0 la j cu vf din i
                for (int k = 1; k < n; ++k) {
                    if (i & (1 << k)) {
                        continue;
                    }
                    int ii = (i | (1 << k));
                    //ii = codificarea lui i reunit cu {k}
                    dp[ii][k] = min(dp[ii][k], dp[i][j] + cost[j][k]);
                }
            }
        }
    }
    int ch = INF;
    for (int j = 1; j < n; ++j) {
        ch = min(ch, dp[(1 << n) - 1][j] + cost[j][0]);
    }
    if (ch == INF) {
        out << "Nu exista solutie";
    } else {
        out << ch << '\n';
    }
    in.close();
    out.close();
    return 0;
}