#include using namespace std; typedef long long ll; #define ALL(x) (x).begin(), (x).end() #ifdef LOCAL #include "debug.hpp" #else #define debug(...) void(0) #endif template istream& operator>>(istream& is, vector& v) { for (T& x : v) is >> x; return is; } template ostream& operator<<(ostream& os, const vector& v) { for (size_t i = 0; i < v.size(); i++) { os << v[i] << (i + 1 == v.size() ? "" : " "); } return os; } template T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; } template T lcm(T x, T y) { return x / gcd(x, y) * y; } int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); } int topbit(long long t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); } int botbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); } int botbit(long long a) { return a == 0 ? 64 : __builtin_ctzll(a); } int popcount(signed t) { return __builtin_popcount(t); } int popcount(long long t) { return __builtin_popcountll(t); } bool ispow2(int i) { return i && (i & -i) == i; } long long MSK(int n) { return (1LL << n) - 1; } template T ceil(T x, T y) { assert(y >= 1); return (x > 0 ? (x + y - 1) / y : x / y); } template T floor(T x, T y) { assert(y >= 1); return (x > 0 ? x / y : (x - y + 1) / y); } template inline bool chmin(T1& a, T2 b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T1& a, T2 b) { if (a < b) { a = b; return true; } return false; } template void mkuni(vector& v) { sort(v.begin(), v.end()); v.erase(unique(v.begin(), v.end()), v.end()); } template int lwb(const vector& v, const T& x) { return lower_bound(v.begin(), v.end(), x) - v.begin(); } const int INF = (1 << 30) - 1; const long long IINF = (1LL << 60) - 1; const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; const int MOD = 998244353; // const int MOD = 1000000007; #include #include #include template struct Rerooting { struct edge { int from, to; key_t cost; sum_t dp, ndp; edge(int from, int to, key_t cost, sum_t dp, sum_t ndp) : from(from), to(to), cost(cost), dp(dp), ndp(ndp) {} }; using F = std::function; using G = std::function; int n; std::vector> g; const F op; const G mapping; const sum_t id; Rerooting(int n, const F& op, const G& mapping, const sum_t& id) : n(n), g(n), op(op), mapping(mapping), id(id), sub(n, id), dp(n, id) {} void add_edge(int u, int v, key_t w) { assert(0 <= u and u < n); assert(0 <= v and v < n); g[u].emplace_back(u, v, w, id, id); g[v].emplace_back(v, u, w, id, id); } std::vector solve() { dfs_sub(0, -1); dfs_all(0, -1, id); return dp; } private: std::vector sub, dp; void dfs_sub(int v, int p) { for (auto& e : g[v]) { if (e.to == p) continue; dfs_sub(e.to, v); e.dp = mapping(sub[e.to], e); sub[v] = op(sub[v], e.dp); } } void dfs_all(int v, int p, sum_t top) { sum_t cur = id; for (int i = 0; i < (int)g[v].size(); i++) { auto& e = g[v][i]; e.ndp = cur; if (e.to == p) e.dp = mapping(top, e); cur = op(cur, e.dp); } dp[v] = cur; cur = id; for (int i = (int)g[v].size() - 1; i >= 0; i--) { auto& e = g[v][i]; if (e.to != p) dfs_all(e.to, v, op(e.ndp, cur)); cur = op(cur, e.dp); } } }; struct S { int back, go; bool must; S(int back, int go, bool must) : back(back), go(go), must(must) {} }; int main() { cin.tie(0); ios::sync_with_stdio(false); int N, K; cin >> N >> K; vector D(N, false); auto op = [](S l, S r) { return S(l.back + r.back, min(l.go + r.back, l.back + r.go), l.must | r.must); }; auto mapping = [&](S x, auto e) { bool must = x.must | D[e.to]; return S(x.back + (must ? 2 : 0), x.go + (must ? 1 : 0), must); }; Rerooting G(N, op, mapping, S(0, 0, false)); for (int i = 0; i < N - 1; i++) { int u, v; cin >> u >> v; G.add_edge(--u, --v, 1); } for (; K--;) { int d; cin >> d; D[--d] = true; } auto ans = G.solve(); for (int i = 0; i < N; i++) cout << ans[i].go << '\n'; return 0; }