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/*
limits:
2s
512M
*/
#include<bits/stdc++.h>
#define endl "\n"
using namespace std;
int n,m,k;
int x,y,z;
const int maxn = 3*1e5+10,maxm = 1e6+10;
struct Edge{
int to,next,w;
// Edge(int x,int y,int z):to(x),next(y),w(z){ }
}edge[maxm];
int tot,head[maxm];
inline void addEdge(int u,int v,int w){
edge[++tot]=(Edge){v,head[u],w};
head[u]=tot;
}
int dis[maxn];
struct node{
int u,d;
bool operator < (const node &cp) const{
return d>cp.d;
}
};
priority_queue<node> q;
bool vis[maxn],need[maxn];
int dijkstra(int start){
while(!q.empty()){
q.pop();
}
memset(vis,0,sizeof(vis));
memset(dis,0x3f3f3f3f,sizeof(dis));
q.push((node){start,0});
dis[start]=0;
while(!q.empty()){
int u=q.top().u;q.pop();
if(need[u]&&u!=start){//就是想去这个点
return dis[u];
}
if(!vis[u]){
vis[u]=1;
for(int i=head[u];i;i=edge[i].next){
int v=edge[i].to,w=edge[i].w;
if(dis[v]>dis[u]+w){
dis[v]=dis[u]+w;
q.push((node){v,dis[v]});
}
}
}
}
return 0x3f3f3f3f;
}
int main(){
// freopen("tour1.in","r",stdin);
// freopen("tour.out","w",stdout);
ios::sync_with_stdio(false);
cin.tie(0),cout.tie(0);
cin>>n>>m>>k;
for(int i=1;i<=m;i++){
cin>>x>>y>>z;
addEdge(x,y,z);
}
for(int i=1;i<=k;i++){
cin>>x;
need[x]=1;
}
int ans=0x3f3f3f3f;
for(int i=1;i<=n;i++){
if(need[i]==1){
ans=min(dijkstra(i),ans);
}
}
cout<<ans<<endl;
}
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