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;
using ll = long long;
using P = pair<ll,int>;
const int N=1e5+5;
const int K=35;
const ll INF=LLONG_MAX/2;
int n,m,k;
vector<pair<int,int>> adj[N];
ll dp[K][N];
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin >> n >> k >> m;
for(int mask=0;mask<1<<k;mask++)for(int i=1;i<=n;i++)dp[mask][i]=INF;
for(int i=0;i<k;i++){
int x;
cin >> x;
dp[1<<i][x]=0;
}
for(int i=0;i<m;i++){
int u,v,w;
cin >> u >> v >> w;
adj[u].emplace_back(v,w);
adj[v].emplace_back(u,w);
}
for(int mask=1;mask<1<<k;mask++){
for(int mask2=mask-1;mask2;mask2=mask&(mask2-1))
for(int i=1;i<=n;i++)dp[mask][i]=min(dp[mask][i],dp[mask2][i]+dp[mask^mask2][i]);
priority_queue<P,vector<P>,greater<P>> pq;
for(int i=1;i<=n;i++)if(dp[mask][i]!=INF)pq.emplace(dp[mask][i],i);
while(!pq.empty()){
auto [d,u]=pq.top();
pq.pop();
if(d>dp[mask][u])continue;
for(auto [v,w]:adj[u])if(d+w<dp[mask][v]){
dp[mask][v]=d+w;
pq.emplace(d+w,v);
}
}
}
cout << *min_element(dp[(1<<k)-1]+1,dp[(1<<k)-1]+n+1);
}
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