Submission #94334

#TimeUsernameProblemLanguageResultExecution timeMemory
94334dalgerokCities (BOI16_cities)C++14
74 / 100
6009 ms40576 KiB
#include<bits/stdc++.h>
using namespace std;


const int N = 1e5 + 5, M = (1 << 5) + 5;
const long long INF = 1e18;



int n, k, m, val[N];
vector < pair < int, int > > g[N];
long long d[M][N];


int main(){
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    cin >> n >> k >> m;
    for(int i = 0; i < (1 << k); i++){
        for(int j = 1; j <= n; j++){
            d[i][j] = INF;
        }
    }
    for(int i = 0; i < k; i++){
        int x;
        cin >> x;
        val[x] = (1 << i);
        d[val[x]][x] = 0;
    }
    for(int i = 1; i <= m; i++){
        int x, y, z;
        cin >> x >> y >> z;
        g[x].push_back(make_pair(y, z));
        g[y].push_back(make_pair(x, z));
    }
    for(int mask = 1; mask < (1 << k); mask++){
        set < pair < long long, int > > q;
        for(int i = 0; i < mask; i++){
            if((mask | i) != mask || (mask ^ i) > i){
                continue;
            }
            for(int j = 1; j <= n; j++){
                d[mask][j] = min(d[mask][j], d[i][j] + d[(mask ^ i)][j]);
            }
        }
        for(int i = 1; i <= n; i++){
            if(d[mask][i] != INF){
                q.insert(make_pair(d[mask][i], i));
            }
        }
        while(!q.empty()){
            int v = q.begin()->second;
            q.erase(q.begin());
            for(auto it : g[v]){
                int to = it.first, len = it.second;
                if(d[mask][to] > d[mask][v] + len){
                    q.erase(make_pair(d[mask][to], to));
                    d[mask][to] = d[mask][v] + len;
                    q.insert(make_pair(d[mask][to], to));
                }
            }
        }
    }
    long long ans = INF;
    for(int i = 1; i <= n; i++){
        ans = min(ans, d[(1 << k) - 1][i]);
    }
    cout << ans;
}
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