#include #include #include using namespace atcoder; using mint = modint1000000007; using namespace std; #define rep(i,n) for(int i=0;i<(n);i++) #define Inf 2000000001 vector a,b,c; vector get(vector> &E,int s){ int N = E.size(); vector dis(N,Inf); dis[s] = 0; priority_queue,vector>,greater>> Q; Q.emplace(0,s); while(Q.size()>0){ int D = Q.top().first; int u = Q.top().second; Q.pop(); rep(i,E[u].size()){ int ind = E[u][i]; int v = u ^ a[ind] ^ b[ind]; int DD = D + c[ind]; if(dis[v] > DD){ dis[v] = DD; Q.emplace(DD,v); } } } return dis; } int main(){ int N,M,K; cin>>N>>M>>K; vector R(K); rep(i,K){ cin>>R[i]; R[i]--; } a.resize(M),b.resize(M),c.resize(M); vector> E(N); rep(i,M){ cin>>a[i]>>b[i]>>c[i]; a[i]--;b[i]--; E[a[i]].push_back(i); E[b[i]].push_back(i); } vector t; t.push_back(0); t.push_back(N-1); rep(i,K){ t.push_back(a[R[i]]); t.push_back(b[R[i]]); } sort(t.begin(),t.end()); t.erase(unique(t.begin(),t.end()),t.end()); vector> ds(t.size()); rep(i,t.size())ds[i] = get(E,t[i]); vector dp(t.size(),vector(1<(1<