This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
int n, m, k, must[7];
vector<pair<int, int>> edges[100000];
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >>n>>k>>m;
long long dp[(1<<k)][n];
for(int i=0; i<(1<<k); i++)
for(int j=0; j<n; j++)
dp[i][j] = 100000000000000000LL;
for(int i=0; i<k; i++){
int v;
cin >> v;
v--;
dp[1<<i][v] = 0;
}
for(int i=0; i<m; i++){
int a,b,c;
cin>>a>>b>>c;
edges[a-1].push_back({b-1,c});
edges[b-1].push_back({a-1,c});
}
for(int i=1; i<(1<<k); i++){
for(int j=0; j<i; j++){
if((i|j)!=i)continue;
for(int v=0; v<n; v++)
dp[i][v] = min(dp[i][v], dp[j][v]+dp[i^j][v]);
}
priority_queue<pair<long long, int>> que;
bool visit[n];
for(int i=0; i<n; i++)visit[i] = false;
for(int j=0; j<n; j++)
if(dp[i][j]!=1000000000000000000LL)
que.push({-dp[i][j], j});
while(!que.empty()){
pair<long long, int> q = que.top(); que.pop();
if(visit[q.second])continue;
visit[q.second]=true;
for(auto p: edges[q.second]){
if(dp[i][p.first]>-q.first+p.second){
dp[i][p.first]= -q.first+p.second;
que.push({-dp[i][p.first], p.first});
}
}
}
}
long long ans = 1000000000000000000LL;
for(int i=0; i<n; i++)
ans = min(ans, dp[(1<<k)-1][i]);
cout<<ans<<endl;
}
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