Cod sursa(job #3003212)

Utilizator RaresFelixTudose Rares Felix RaresFelix Data 15 martie 2023 16:33:19
Problema Ubuntzei Scor 85
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 2.08 kb
#include <bits/stdc++.h>

using namespace std;
using ii = pair<int, int>;
const int MN = 2071;
const int MK = 16;
const int INF = 1e9;
ifstream fi("ubuntzei.in");
ofstream fo("ubuntzei.out");

int n, m, k;
int A[MK], Cost[MN][MN], Procesat[MN];
vector<ii> L[MN];
int DP[MK + 3][1 << MK], Prieten[MN];
void dijk(int u) {
    for(int i = 1; i <= n; ++i) Cost[u][i] = INF, Procesat[i] = 0;
    priority_queue<ii> PQ;
    Cost[u][u] = 0;
    PQ.push({0, u});
    while(!PQ.empty()) {
        int nod = PQ.top().second, cost = PQ.top().first;
        PQ.pop();
        if(Cost[u][nod] != -cost) continue;
        if(Procesat[nod]) continue;
        Procesat[nod] = 1;
        for(auto [it, w] : L[nod]) {
            if(Cost[u][it] > Cost[u][nod] + w) {
                Cost[u][it] = Cost[u][nod] + w;
                PQ.push({-Cost[u][it], it});
            }
        }
    }
    for(int i = 1; i <= n; ++i)
        Cost[i][u] = Cost[u][i];
}
int Loc[MK + 3];
int main() {
    fi >> n >> m >> k;
    for(int i = 1; i <= k; ++i) fi >> A[i], Prieten[A[i]] = i;
    for(int i = 1; i <= k; ++i) {
        Loc[i] = A[i];
    }
    Loc[k + 1] = 1;
    Loc[k + 2] = n;
    int u, v, w;
    for(int i = 1; i <= m; ++i) {
        fi >> u >> v >> w;
        L[u].push_back({v, w});
        L[v].push_back({u, w});
    }
    for(int i = 1; i <= n; ++i) {
        dijk(i);
    }
//    while(cin >> u >> v) {
//        cout << Cost[u][v] << "\n";
//    }
    for(int i = 0; i < (1 << k); ++i) {
        for(int j = 1; j <= k + 2; ++j) {
            DP[j][i] = INF;
        }
    }
    DP[k + 1][0] = 0;
    for(int i = 0; i < (1 << k); ++i) {
        for(int j = 0; j < k; ++j) {
            if(!(i & (1 << j))) {
                for(int u = 1; u <= k + 2; ++u) {
                    DP[j+1][i | (1 << j)] = min(DP[j+1][i | (1 << j)], DP[u][i] + Cost[Loc[u]][Loc[j + 1]]);
                }
            }
        }
    }
    int re = INF;
    for(int i = 1; i <= k + 2; ++i)
        re = min(re, DP[i][(1 << k) - 1] + Cost[Loc[i]][n]);
    fo << re << "\n";
    return 0;
}