#pragma target("avx2") #pragma optimize("O3") #pragma optimize("unroll-loops") #include #include using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf 100000000000000000 vector get(int start,auto &E){ vector dis(E.size(),Inf); dis[start] = 0; queue Q; Q.push(start); while(Q.size()>0){ int u = Q.front(); Q.pop(); rep(i,E[u].size()){ int v = E[u][i].first; if(dis[v]!=Inf)continue; dis[v] = dis[u] + E[u][i].second; Q.push(v); } } return dis; } long long C; void dfs(auto &E,auto &dp,auto &ndp,auto &dis,int now,int F,int P,int p=-1){ if(F!=now)ndp[now] = min(ndp[now],dp[now] + C + dis[now][P]); else ndp[now] = min(ndp[now],dp[now] + dis[now][P]); rep(i,E[now].size()){ int to = E[now][i].first; if(to==p)continue; dfs(E,dp,ndp,dis,to,F,P,now); ndp[now] = min(ndp[now],ndp[to]); } } int main(){ int N,Q; cin>>N>>Q>>C; vector E(N,vector>()); rep(i,N-1){ int u,v,l; scanf("%d %d %d",&u,&v,&l); u--;v--; E[u].emplace_back(v,l); E[v].emplace_back(u,l); } vector x(Q); rep(i,Q){ scanf("%d",&x[i]); x[i]--; } vector dis(N,vector()); rep(i,N){ dis[i] = get(i,E); } vector dp(N,Inf); dp[x[0]] = 0LL; rep(i,Q-1){ vector ndp(N,Inf); dfs(E,dp,ndp,dis,x[i+1],x[i],x[i+1]); rep(j,N){ ndp[j] = min(ndp[j],dp[j] + dis[x[i]][x[i+1]]); } swap(dp,ndp); } long long ans = Inf; rep(i,N)ans = min(ans,dp[i]); cout<