Cod sursa(job #3302003)

Utilizator retrogradLucian Bicsi retrograd Data 1 iulie 2025 23:55:28
Problema Ciclu hamiltonian de cost minim Scor 85
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.4 kb
#include <vector>
#include <fstream>
#include <algorithm>
#include <cassert>
#include <tuple>

using namespace std;

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

    int n, m; cin >> n >> m;
    vector<vector<int>> D(n, vector<int>(n, 1e8));
    for (int i = 0; i < m; ++i) {
        int a, b, c; cin >> a >> b >> c;
        D[a][b] = c;
    }

    vector<tuple<int, int, int>> beam, nbeam;
    beam.emplace_back(0, 1 << 0, 0);
    int bw = 10000;
    for (int i = 1; i < n; ++i) {
        nbeam.clear();
        for (auto it : beam) {
            int cost, msk, last; tie(cost, msk, last) = it;
            for (int nxt = 0; nxt < n; ++nxt) {
                if (msk & (1 << nxt)) continue;
                int ncost = cost + D[last][nxt];
                int nmsk = msk | (1 << nxt);
                int nlast = nxt;
                nbeam.emplace_back(ncost, nmsk, nlast);
            }
        }
        if (nbeam.size() > bw) {
            nth_element(nbeam.begin(), nbeam.begin() + bw, nbeam.end());
            nbeam.resize(bw);
        }
        swap(beam, nbeam);
    }
    int ans = 2e9;
    for (auto it : beam) {
        int cost, msk, last; tie(cost, msk, last) = it;
        assert(msk == (1 << n) - 1);
        ans = min(ans, cost + D[last][0]);
    }
    if (ans > n * 1e6) {
        cout << "Nu exista solutie" << endl;
    } else {
        cout << ans << endl;
    }
    return 0;
}