#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; template struct Edge { int src, dst; CostType cost; Edge(int src, int dst, CostType cost = 0) : src(src), dst(dst), cost(cost) {} inline bool operator<(const Edge &x) const { return cost != x.cost ? cost < x.cost : dst != x.dst ? dst < x.dst : src < x.src; } inline bool operator<=(const Edge &x) const { return !(x < *this); } inline bool operator>(const Edge &x) const { return x < *this; } inline bool operator>=(const Edge &x) const { return !(*this < x); } }; int main() { int n, q, c; cin >> n >> q >> c; vector>> graph(n); REP(_, n - 1) { int u, v, l; cin >> u >> v >> l; --u; --v; graph[u].emplace_back(u, v, l); graph[v].emplace_back(v, u, l); } vector x(q); REP(i, q) cin >> x[i], --x[i]; vector dp(n, LINF); dp[x[0]] = 0; FOR(i, 1, q) { vector path; vector dist; ll sum = 0; auto dfs = [&](auto &&dfs, int par, int ver) -> bool { if (ver == x[i]) return true; for (const Edge e : graph[ver]) { if (e.dst != par) { path.emplace_back(e.dst); dist.emplace_back(e.cost); sum += e.cost; if (dfs(dfs, ver, e.dst)) return true; sum -= e.cost; dist.pop_back(); path.pop_back(); } } return false; }; dfs(dfs, -1, x[i - 1]); int m = path.size(); vector cum(m, 0); for (int i = m - 2; i >= 0; --i) cum[i] = cum[i + 1] + dist[i + 1]; vector jump(m, LINF); REP(i, m) jump[i] = dp[path[i]] + c + cum[i]; ll mn = LINF; REP(i, n) { dp[i] += sum; chmin(mn, dp[i]); } REP(i, m) { chmin(mn, jump[i]); chmin(dp[path[i]], mn); } } cout << *min_element(ALL(dp)) << '\n'; return 0; }