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;
#define LCBorz ios_base::sync_with_stdio(false); cin.tie(0);
#define int long long
#define all(x) x.begin(), x.end()
#define endl '\n'
const int N=200005;
const int INF=1e18;
int n,k,m;
vector<int> s;
vector<pair<int,int>> adj[N];
vector dis(4,vector<int>(N,INF));
void dijk(int s,vector<int> &dis){
dis[s]=0;
priority_queue<pair<int,int>> pq;
pq.push({0,s});
while(pq.size()){
auto [dis1,a]=pq.top();
pq.pop();
dis1=-dis1;
if(dis1!=dis[a])continue;
for(auto [c,d]:adj[a]){
int cost=dis1+d;
if(dis[c]>cost){
dis[c]=cost;
pq.push({-dis[c],c});
}
}
}
}
int32_t main() {
LCBorz;
cin>>n>>k>>m;
for(int i=0;i<k;i++){
int p;cin>>p;
s.push_back(p);
}
for(int i=0;i<m;i++){
int a,b,c;cin>>a>>b>>c;
adj[a].push_back({b,c});
adj[b].push_back({a,c});
}
for(int i=0;i<k;i++){
dijk(s[i],dis[i]);
}
int ans=INF;
for(int i=1;i<=n;i++){
ans=min(ans,dis[0][i]+dis[1][i]+dis[2][i]);
}
cout<<ans<<endl;
return 0;
}
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