#include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; struct edge{ int to; ll cost; }; const ll INF = 1e16; int n, q; ll c; int x[3000]; vector G[3000]; ll dp[3005][3005]; void input(){ cin >> n >> q >> c; for(int i = 0; i < n-1; i++){ int u, v; ll l; cin >> u >> v >> l; u--; v--; G[u].push_back((edge){v, l}); G[v].push_back((edge){u, l}); } for(int i = 0; i < q; i++) { cin >> x[i]; x[i]--; } for(int i = 0; i < q; i++){ for(int j = 0; j < n; j++){ dp[i][j] = INF; } } } ll dist[3000]; ll cost[3000]; bool used[3000]; void clear(){ for(int i = 0; i < n; i++) used[i] = false; } // x[idx]に行こうとしている ll dfs(int v, int idx){ used[v] = true; ll ans = INF; for(edge e: G[v]){ if(!used[e.to]){ dist[e.to] = dist[v]+e.cost; chmin(ans, dfs(e.to, idx)); } } chmin(ans, cost[v]+dist[v]); chmin(dp[idx][v], ans); return ans; } void solve(){ dp[0][x[0]] = 0; for(int i = 1; i < q; i++){ clear(); for(int j = 0; j < n; j++){ if(j != x[i-1]){ cost[j] = dp[i-1][j]+c; }else{ cost[j] = dp[i-1][j]; } } dist[x[i]] = 0; dfs(x[i], i); for(int j = 0; j < n; j++){ chmin(dp[i][j], dp[i-1][j]+dist[x[i-1]]); } } cout << dp[q-1][x[q-1]] << endl; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; input(); solve(); }