Cod sursa(job #3357782)

Utilizator TestLicenta123Test Test TestLicenta123 Data 13 iunie 2026 14:49:16
Problema Ciclu hamiltonian de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.72 kb
#include <fstream>
#include <vector>
#include <algorithm>
#include <climits>

using namespace std;

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

const int MAX = (1 << 18);
int gr[20][20];
vector<int> mask[20];
int dp[MAX][20];

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int nodes, edges;
    cin >> nodes >> edges;

    for (int i = 0; i < edges; i++) {
        int a, b, val;
        cin >> a >> b >> val;
        gr[a][b] = val;
    }

    for (int masc = 0; masc < (1 << nodes); masc++) {
        int cont = 0;
        for (int bit = 0; bit < nodes; bit++) {
            if (masc & (1 << bit)) {
                cont++;
            }
        }
        mask[cont].push_back(masc);
    }

    for (int i = 0; i < (1 << nodes); i++) {
        for (int j = 0; j < nodes; j++) {
            dp[i][j] = INT_MAX;
        }
    }

    dp[1][0] = 0;

    for (int i = 1; i <= nodes; i++) {
        for (int x : mask[i]) {
            for (int l = 0; l < nodes; l++) {
                if (dp[x][l] != INT_MAX) {
                    for (int bit = 0; bit < nodes; bit++) {
                        if (!(x & (1 << bit)) && gr[l][bit] != 0) {
                            int next_mask = x | (1 << bit);
                            dp[next_mask][bit] = min(dp[next_mask][bit], dp[x][l] + gr[l][bit]);
                        }
                    }
                }
            }
        }
    }

    int MIN = INT_MAX;
    for (int l = 1; l < nodes; l++) {
        if (dp[(1 << nodes) - 1][l] != INT_MAX && gr[l][0] != 0) {
            MIN = min(MIN, dp[(1 << nodes) - 1][l] + gr[l][0]);
        }
    }

    if (MIN == INT_MAX) {
        cout << "Nu exista solutie";
    } else {
        cout << MIN;
    }

    return 0;
}