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;
signed main(){
ios::sync_with_stdio(0);
cin.tie(0);
int n,m,k;
cin >> n >> m >> k;
int dist[n][n];
for(int i = 0;i<n;i++){
for(int j = 0;j<n;j++){
dist[i][j]=1e9;
}
dist[i][i]=0;
}
for(int i = 0;i<m;i++){
int u,v,w;
cin >> u >> v >> w;
u--;v--;
dist[u][v]=w;
dist[v][u]=w;
}
for(int k = 0;k<n;k++){
for(int i = 0;i<n;i++){
for(int j = 0;j<n;j++){
dist[i][j]=min(dist[i][j],dist[i][k]+dist[k][j]);
}
}
}
int spec[k];
for(int i = 0;i<k;i++){
cin >> spec[i];
spec[i]--;
}
vector<pair<int,int>>d[k];
for(int i = 0;i<k;i++){
for(int j = i+1;j<k;j++){
d[i].push_back({dist[spec[i]][spec[j]],j});
}
sort(d[i].begin(),d[i].end());
}
int ans = 2e9;
for(int i = 0;i<k;i++){
for(int j = i+1;j<k;j++){
for(int l = 0;l<k;l++){
if(i==l||j==l){
continue;
}
for(pair<int,int>p : d[l]){
if(p.second==i||p.second==j)
continue;
ans=min(ans,dist[spec[i]][spec[j]]+p.first);
break;
}
}
}
}
cout << ans;
return 0;
}
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