#include<bits/stdc++.h>
using namespace std;
using i64 = long long;
int main(){
const int inf = 1e9 + 5;
int n,m,k;
cin >> n >> m >> k;
vector<vector<int>> dist(n + 1,vector<int>(n + 1,inf));
vector<vector<pair<int,int>>> adj(n);
for(int i = 0;i < m;i++){
int u,v,w;
cin >> u >> v >> w;
u --;
v --;
adj[u].emplace_back(v,w);
adj[v].emplace_back(u,w);
}
vector<int> s(k);
for(int i = 0;i < k;i++){
cin >> s[i];
s[i] --;
}
multiset<pair<int,int>> ms;
for(int &e : s){
dist[e][e] = 0;
priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>> pq;
pq.push({0,e});
while(!pq.empty()){
auto p = pq.top();
int u = p.second;
int tot = p.first;
pq.pop();
if(tot > dist[e][u]) continue;
for(auto pp : adj[u]){
int v = pp.first;
int w = pp.second;
if(dist[e][v] > tot + w){
dist[e][v] = tot + w;
pq.push({dist[e][v],v});
}
}
}
for(int &e2 : s){
if(e2 == e) continue;
ms.insert({dist[e][e2],e});
}
}
int ans = inf;
for(int &s1 : s){
for(int &e : s){
if(e == s1) continue;
ms.erase(ms.find({dist[s1][e],s1}));
}
for(int &f1 : s){
if(s1 == f1) continue;
for(int &e : s){
if(e == f1) continue;
ms.erase(ms.find({dist[f1][e],f1}));
}
ans = min(ans,ms.begin()->first + dist[s1][f1]);
for(int &e : s){
if(e == f1) continue;
ms.insert({dist[f1][e],f1});
}
}
for(int &e : s){
if(e == s1) continue;
ms.insert({dist[s1][e],s1});
}
}
cout << ans << '\n';
return 0;
}
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