#pragma GCC target("avx2,avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include using namespace std; using ll = long long; using ull = unsigned long long; using i128 = __int128_t; using pii = pair; using pll = pair; #define rep(i, n) for (int i = 0; i < (n); i++) #define rrep(i, n) for (int i = int(n) - 1; i >= 0; i--) #define all(x) (x).begin(), (x).end() constexpr char ln = '\n'; istream& operator>>(istream& is, __int128_t& x) { x = 0; string s; is >> s; int n = int(s.size()), it = 0; if (s[0] == '-') it++; for (; it < n; it++) x = (x * 10 + s[it] - '0'); if (s[0] == '-') x = -x; return is; } ostream& operator<<(ostream& os, __int128_t x) { if (x == 0) return os << 0; if (x < 0) os << '-', x = -x; deque deq; while (x) deq.emplace_front(x % 10), x /= 10; for (int e : deq) os << e; return os; } template ostream& operator<<(ostream& os, const pair& p) { return os << "(" << p.first << ", " << p.second << ")"; } template ostream& operator<<(ostream& os, const vector& v) { os << "{"; for (int i = 0; i < int(v.size()); i++) { if (i) os << ", "; os << v[i]; } return os << "}"; } template inline int SZ(Container& v) { return int(v.size()); } template inline void UNIQUE(vector& v) { v.erase(unique(v.begin(), v.end()), v.end()); } template inline bool chmax(T1& a, T2 b) { if (a < b) {a = b; return true ;} return false ;} template inline bool chmin(T1& a, T2 b) { if (a > b) {a = b; return true ;} return false ;} inline int topbit(ull x) { return x == 0 ? -1 : 63 - __builtin_clzll(x); } inline int botbit(ull x) { return x == 0 ? 64 : __builtin_ctzll(x); } inline int popcount(ull x) { return __builtin_popcountll(x); } inline int kthbit(ull x, int k) { return (x>>k) & 1; } inline constexpr long long TEN(int x) { return x == 0 ? 1 : TEN(x-1) * 10; } inline void print() { cout << "\n"; } template inline void print(const vector& v) { for (int i = 0; i < int(v.size()); i++) { if (i) cout << " "; cout << v[i]; } print(); } template inline void print(const T& x, const Args& ... args) { cout << x << " "; print(args...); } #ifdef MINATO_LOCAL inline void debug_out() { cerr << endl; } template inline void debug_out(const T& x, const Args& ... args) { cerr << " " << x; debug_out(args...); } #define debug(...) cerr << __LINE__ << " : [" << #__VA_ARGS__ << "] =", debug_out(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif struct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// template struct edge { int src,to; T cost; int id; edge(){} edge(int to, T cost) : src(-1), to(to), cost(cost), id(-1) {} edge(int src, int to, T cost) : src(src), to(to), cost(cost), id(-1) {} edge(int src, int to, T cost, int id) : src(src), to(to), cost(cost), id(id) {} bool operator<(const edge &e) const {return cost < e.cost;} }; struct Node { ll cost; int id; Node() {} Node(ll cost, int id) : cost(cost), id(id) {} bool operator<(const Node &rhs) const {return cost < rhs.cost;} }; constexpr ll INF = 1e18; int main() { ll N,Q,C; cin >> N >> Q >> C; vector>> G(N); rep(i,N-1) { int u,v,w; cin >> u >> v >> w; u--; v--; G[u].emplace_back(v,w); G[v].emplace_back(u,w); } vector x(Q); rep(i,Q) cin >> x[i], x[i]--; vector> dist(N, vector(N,-1)); queue que; rep(i,N) { dist[i][i] = 0; que.emplace(i); while (!que.empty()) { int v = que.front(); que.pop(); for (auto& e : G[v]) { if (~dist[i][e.to]) continue; dist[i][e.to] = dist[i][v]+e.cost; que.emplace(e.to); } } } vector dp(N,INF); dp[x[0]] = 0; vector arr(N); vector nex(N); vector seen(N); rep(k,Q-1) { rep(i,N) { if (i==x[k]) arr[i] = Node(dp[i]+dist[i][x[k+1]],i); else arr[i] = Node(dp[i]+dist[i][x[k+1]]+C,i); } sort(all(arr)); fill(all(seen),0); rep(i,N) nex[i] = dp[i]+dist[x[k]][x[k+1]]; chmin(nex[x[k+1]],arr[0].cost); seen[x[k+1]] = 1; rep(i,N) { ll val = arr[i].cost; int s = arr[i].id; auto dfs=[&](auto self, int v, int pv)->bool { if (seen[v]) return true; for (auto& e : G[v]) { if (e.to==pv) continue; if (self(self,e.to,v)) { chmin(nex[v],val); seen[v] = 1; return true; } } return false; }; dfs(dfs,s,-1); } swap(dp,nex); } cout << *min_element(all(dp)) << ln; }