#include using namespace std; #define rep(i, n) for(int i = 0; i < n; i++) #define rep2(i, x, n) for(int i = x; i <= n; i++) #define rep3(i, x, n) for(int i = x; i >= n; i--) #define each(e, v) for(auto &e: v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; const int MOD = 1000000007; //const int MOD = 998244353; const int inf = (1<<30)-1; const ll INF = (1LL<<60)-1; template bool chmax(T &x, const T &y) {return (x < y)? (x = y, true) : false;}; template bool chmin(T &x, const T &y) {return (x > y)? (x = y, true) : false;}; struct io_setup{ io_setup(){ ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; vector> D; template struct Weighted_Graph{ struct edge{ int to; T cost; edge(int to, T cost) : to(to), cost(cost) {} }; vector> es; vector d; vector pre_v; vector keep; const T INF_T; const int n; Weighted_Graph(int n) : INF_T(numeric_limits::max()), n(n){ es.resize(n), d.resize(n), pre_v.resize(n); } void add_edge(int from, int to, T cost, bool directed = false){ es[from].eb(to, cost); if(!directed) es[to].eb(from, cost); } void dfs(int s, int now, int pre){ each(e, es[now]){ if(e.to == pre) continue; D[s][e.to] = D[s][now]+e.cost; dfs(s, e.to, now); } } void dijkstra(vector v){ using P = pair; priority_queue, greater

> que; rep(i, n){ que.emplace(d[i] = v[i], i); } while(!que.empty()){ auto [p, i] = que.top(); que.pop(); if(p > d[i]) continue; each(e, es[i]){ if(chmin(d[e.to], d[i]+e.cost)){ pre_v[e.to] = i, que.emplace(d[e.to], e.to); } } } } vector shortest_path(int s, int t){ keep.clear(); if(dijkstra(s, t) == INF_T) return keep; for(int now = t; now != s; now = pre_v[now]) keep.pb(now); keep.pb(s), reverse(all(keep)); return keep; } }; int main(){ int N, Q; ll C; cin >> N >> Q >> C; Weighted_Graph G(N); rep(i, N-1){ int u, v; ll c; cin >> u >> v >> c; u--, v--; G.add_edge(u, v, c); } vector x(Q); rep(i, Q) {cin >> x[i]; x[i]--;} D.assign(N, vector(N, INF)); rep(i, N){ D[i][i] = 0; G.dfs(i, i, -1); } vector> dp(Q, vector(N, INF)); dp[0][x[0]] = 0; rep(i, Q-1){ vector tmp(N, INF); rep(j, N){ chmin(tmp[j], C+dp[i][j]), chmin(tmp[x[i]], dp[i][j]); } G.dijkstra(tmp); rep(j, N){ chmin(dp[i+1][j], dp[i][j]+D[x[i]][x[i+1]]); chmin(dp[i+1][j], G.d[j]+D[j][x[i+1]]); } } ll ans = INF; rep(i, N) chmin(ans, dp[Q-1][i]); cout << ans << '\n'; }