#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using Int = long long; template ostream &operator<<(ostream &os, const pair &a) { return os << "(" << a.first << ", " << a.second << ")"; }; template void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; } template bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; } template bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; } constexpr Int INF = 1'000'000'000'000'000'000LL; constexpr int MAX = 3010; int N, Q; Int C; int A[MAX], B[MAX]; Int L[MAX]; int X[MAX]; vector G[MAX]; void dfs(Int *dist, int u, int p, Int d) { dist[u] = d; for (const int i : G[u]) { const int v = A[i] ^ B[i] ^ u; if (v != p) { dfs(dist, v, u, d + L[i]); } } } void shortest(Int *ds) { using Node = pair; priority_queue, greater> que; for (int u = 0; u < N; ++u) { que.emplace(ds[u], u); } for (; !que.empty(); ) { const Int c = que.top().first; const int u = que.top().second; que.pop(); if (ds[u] == c) { for (const int i : G[u]) { const int v = A[i] ^ B[i] ^ u; const Int cc = c + L[i]; if (chmin(ds[v], cc)) { que.emplace(cc, v); } } } } } Int dist[MAX][MAX]; Int dp[MAX][MAX]; Int sub[MAX]; int main() { for (; ~scanf("%d%d%lld", &N, &Q, &C); ) { for (int i = 0; i < N - 1; ++i) { scanf("%d%d%lld", &A[i], &B[i], &L[i]); --A[i]; --B[i]; } for (int q = 0; q < Q; ++q) { scanf("%d", &X[q]); --X[q]; } fill(G, G + N, vector{}); for (int i = 0; i < N - 1; ++i) { G[A[i]].push_back(i); G[B[i]].push_back(i); } for (int u = 0; u < N; ++u) { dfs(dist[u], u, -1, 0); } for (int q = 0; q < Q; ++q) { fill(dp[q], dp[q] + N, INF); } dp[0][X[0]] = 0; for (int q = 0; q < Q - 1; ++q) { for (int u = 0; u < N; ++u) { chmin(dp[q + 1][u], dp[q][u] + dist[X[q]][X[q + 1]]); } Int mn = INF; for (int u = 0; u < N; ++u) { sub[u] = dp[q][u] + C; chmin(mn, dp[q][u]); } chmin(sub[X[q]], mn); shortest(sub); for (int u = 0; u < N; ++u) { chmin(dp[q + 1][u], sub[u] + dist[u][X[q + 1]]); } // pv(dp[q+1],dp[q+1]+N); } const Int ans = *min_element(dp[Q - 1], dp[Q - 1] + N); printf("%lld\n", ans); } return 0; }