Cod sursa(job #3362145)

Utilizator rapidu36Victor Manz rapidu36 Data 3 august 2026 14:32:58
Problema Ubuntzei Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 2.25 kb
#include <fstream>
#include <vector>
#include <queue>
#include <algorithm>

using namespace std;

const int INF = 1e9;

struct muchie {
    int x, y, c;
    int celalalt(int vf) {
        return (x + y - vf);
    }
};

int n, m;
vector <muchie> e;
vector <vector <int>> lst_a;

void dijkstra (int x0, vector <int> &d) {
    fill(d.begin(), d.end(), INF);
    priority_queue <pair <int, int>, vector <pair <int, int>>, greater <pair <int, int>> > h;
    vector <bool> prel(n + 1, false);
    d[x0] = 0;
    h.push({d[x0], x0});
    while (!h.empty()) {
        int x = h.top().second;
        prel[x] = true;
        h.pop();
        for (auto i : lst_a[x]) {
            int y = e[i].celalalt(x), c = e[i].c;
            if (d[x] + c < d[y]) {
                d[y] = d[x] + c;
                h.push({d[y], y});
            }
        }
    }
}

int main() {
    ifstream in("ubuntzei.in");
    ofstream out("ubuntzei.out");
    int k;
    in >> n >> m >> k;
    vector <int> orase(k);
    for (auto &oras: orase) {
        in >> oras;
    }
    e.resize(m);
    lst_a.resize(n + 1);
    for (int i = 0; i < m; i++) {
        in >> e[i].x >> e[i].y >> e[i].c;
        lst_a[e[i].x].push_back(i);
        lst_a[e[i].y].push_back(i);
    }
    in.close();
    vector <int> d(n + 1);
    dijkstra (1, d);
    vector <vector <int>> cost(k, vector <int> (k, INF));
    vector <vector <int>> c(1 << k, vector <int> (k, INF));
    for (int i = 0; i < k; i++) {
        c[1<<i][i] = d[orase[i]];
    }
    for (int i = 0; i < k; i++) {
        dijkstra (orase[i], d);
        for (int j = 0; j < k; j++) {
            cost[i][j] = d[orase[j]];
        }
    }
    for (int s = 1; s < (1 << k); s++) {
        for (int i = 0; i < k; i++) {
            if (s & (1 << i)) {
                int s_fara_i = (s ^ (1 << i));
                for (int j = 0; j < k; j++) {
                    if (s_fara_i & (1 << j)) {
                        c[s][i] = min(c[s][i], c[s_fara_i][j] + cost[j][i]);
                    }
                }
            }
        }
    }
    dijkstra(n, d);
    int cost_min = INF;
    for (int i = 0; i < k; i++) {
        cost_min = min(cost_min, c[(1<<k)-1][i] + d[orase[i]]);
    }
    if (k == 0) {
        cost_min = d[1];
    }
    out << cost_min << "\n";
    out.close();
    return 0;
}