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>
#define DIM 100010
#define INF 2000000000000000000LL
using namespace std;
vector <pair<int,int> > L[DIM];
priority_queue <pair<long long,pair<int,int> >, vector<pair<long long,pair<int,int> > >, greater<pair<long long,pair<int,int> > > > H;
long long dp[DIM][33];
int v[10];
int n,m,k,i,j,x,y,cost;
int main (){
//ifstream cin ("date.in");
//ofstream cout ("date.out");
cin>>n>>k>>m;
for (i=1;i<=k;i++)
cin>>v[i];
for (i=1;i<=m;i++){
cin>>x>>y>>cost;
L[x].push_back(make_pair(y,cost));
L[y].push_back(make_pair(x,cost));
}
for (i=1;i<=n;i++){
for (j=0;j<=(1<<k);j++)
dp[i][j] = INF;
if (i != v[1] && i != v[2] && i != v[3] && i != v[4] && i != v[5])
dp[i][0] = 0;
}
for (i=1;i<=k;i++){
dp[v[i]][1<<(i-1)] = 0;
H.push(make_pair(0,make_pair(v[i],(1<<(i-1)))));
}
while (!H.empty()){
int nod = H.top().second.first;
int stare = H.top().second.second;
long long cst = H.top().first;
H.pop();
if (cst != dp[nod][stare])
continue;
for (auto it : L[nod]){
int vecin = it.first, cost = it.second;
/// trb sa combin starea curenta cu toate starile care ar putea di in vecin
for (int new_stare=0;new_stare<(1<<k);new_stare++)
if (!(stare&new_stare)){
if (dp[nod][stare] + dp[vecin][new_stare] + cost < dp[vecin][stare|new_stare]){
dp[vecin][stare|new_stare] = dp[nod][stare] + dp[vecin][new_stare] + cost;
H.push(make_pair(dp[vecin][stare|new_stare],make_pair(vecin,stare|new_stare)));
}}}}
long long sol = INF;
for (i=1;i<=n;i++)
sol = min (sol,dp[i][(1<<k)-1]);
cout<<sol;
return 0;
}
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