/** * date : 2024-01-26 22:29:03 * author : Nyaan */ #define NDEBUG using namespace std; // intrinstic #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include // utility namespace Nyaan { using ll = long long; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; template using V = vector; template using VV = vector>; using vi = vector; using vl = vector; using vd = V; using vs = V; using vvi = vector>; using vvl = vector>; template using minpq = priority_queue, greater>; template struct P : pair { template P(Args... args) : pair(args...) {} using pair::first; using pair::second; P &operator+=(const P &r) { first += r.first; second += r.second; return *this; } P &operator-=(const P &r) { first -= r.first; second -= r.second; return *this; } P &operator*=(const P &r) { first *= r.first; second *= r.second; return *this; } template P &operator*=(const S &r) { first *= r, second *= r; return *this; } P operator+(const P &r) const { return P(*this) += r; } P operator-(const P &r) const { return P(*this) -= r; } P operator*(const P &r) const { return P(*this) *= r; } template P operator*(const S &r) const { return P(*this) *= r; } P operator-() const { return P{-first, -second}; } }; using pl = P; using pi = P; using vp = V; constexpr int inf = 1001001001; constexpr long long infLL = 4004004004004004004LL; template int sz(const T &t) { return t.size(); } template inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline T Max(const vector &v) { return *max_element(begin(v), end(v)); } template inline T Min(const vector &v) { return *min_element(begin(v), end(v)); } template inline long long Sum(const vector &v) { return accumulate(begin(v), end(v), 0LL); } template int lb(const vector &v, const T &a) { return lower_bound(begin(v), end(v), a) - begin(v); } template int ub(const vector &v, const T &a) { return upper_bound(begin(v), end(v), a) - begin(v); } constexpr long long TEN(int n) { long long ret = 1, x = 10; for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1); return ret; } template pair mkp(const T &t, const U &u) { return make_pair(t, u); } template vector mkrui(const vector &v, bool rev = false) { vector ret(v.size() + 1); if (rev) { for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1]; } else { for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i]; } return ret; }; template vector mkuni(const vector &v) { vector ret(v); sort(ret.begin(), ret.end()); ret.erase(unique(ret.begin(), ret.end()), ret.end()); return ret; } template vector mkord(int N, F f) { vector ord(N); iota(begin(ord), end(ord), 0); sort(begin(ord), end(ord), f); return ord; } template vector mkinv(vector &v) { int max_val = *max_element(begin(v), end(v)); vector inv(max_val + 1, -1); for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i; return inv; } vector mkiota(int n) { vector ret(n); iota(begin(ret), end(ret), 0); return ret; } template T mkrev(const T &v) { T w{v}; reverse(begin(w), end(w)); return w; } template bool nxp(T &v) { return next_permutation(begin(v), end(v)); } // 返り値の型は入力の T に依存 // i 要素目 : [0, a[i]) template vector> product(const vector &a) { vector> ret; vector v; auto dfs = [&](auto rc, int i) -> void { if (i == (int)a.size()) { ret.push_back(v); return; } for (int j = 0; j < a[i]; j++) v.push_back(j), rc(rc, i + 1), v.pop_back(); }; dfs(dfs, 0); return ret; } // F : function(void(T&)), mod を取る操作 // T : 整数型のときはオーバーフローに注意する template T Power(T a, long long n, const T &I, const function &f) { T res = I; for (; n; f(a = a * a), n >>= 1) { if (n & 1) f(res = res * a); } return res; } // T : 整数型のときはオーバーフローに注意する template T Power(T a, long long n, const T &I = T{1}) { return Power(a, n, I, function{[](T &) -> void {}}); } template T Rev(const T &v) { T res = v; reverse(begin(res), end(res)); return res; } template vector Transpose(const vector &v) { using U = typename T::value_type; int H = v.size(), W = v[0].size(); vector res(W, T(H, U{})); for (int i = 0; i < H; i++) { for (int j = 0; j < W; j++) { res[j][i] = v[i][j]; } } return res; } template vector Rotate(const vector &v, int clockwise = true) { using U = typename T::value_type; int H = v.size(), W = v[0].size(); vector res(W, T(H, U{})); for (int i = 0; i < H; i++) { for (int j = 0; j < W; j++) { if (clockwise) { res[W - 1 - j][i] = v[i][j]; } else { res[j][H - 1 - i] = v[i][j]; } } } return res; } } // namespace Nyaan // bit operation namespace Nyaan { __attribute__((target("popcnt"))) inline int popcnt(const u64 &a) { return _mm_popcnt_u64(a); } inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; } inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; } inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; } template inline int gbit(const T &a, int i) { return (a >> i) & 1; } template inline void sbit(T &a, int i, bool b) { if (gbit(a, i) != b) a ^= T(1) << i; } constexpr long long PW(int n) { return 1LL << n; } constexpr long long MSK(int n) { return (1LL << n) - 1; } } // namespace Nyaan // inout namespace Nyaan { template ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } istream &operator>>(istream &is, __int128_t &x) { string S; is >> S; x = 0; int flag = 0; for (auto &c : S) { if (c == '-') { flag = true; continue; } x *= 10; x += c - '0'; } if (flag) x = -x; return is; } istream &operator>>(istream &is, __uint128_t &x) { string S; is >> S; x = 0; for (auto &c : S) { x *= 10; x += c - '0'; } return is; } ostream &operator<<(ostream &os, __int128_t x) { if (x == 0) return os << 0; if (x < 0) os << '-', x = -x; string S; while (x) S.push_back('0' + x % 10), x /= 10; reverse(begin(S), end(S)); return os << S; } ostream &operator<<(ostream &os, __uint128_t x) { if (x == 0) return os << 0; string S; while (x) S.push_back('0' + x % 10), x /= 10; reverse(begin(S), end(S)); return os << S; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } struct IoSetupNya { IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetupnya; } // namespace Nyaan // debug #ifdef NyaanDebug #define trc(...) (void(0)) #else #define trc(...) (void(0)) #endif #ifdef NyaanLocal #define trc2(...) (void(0)) #else #define trc2(...) (void(0)) #endif // macro #define each(x, v) for (auto&& x : v) #define each2(x, y, v) for (auto&& [x, y] : v) #define all(v) (v).begin(), (v).end() #define rep(i, N) for (long long i = 0; i < (long long)(N); i++) #define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--) #define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++) #define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--) #define reg(i, a, b) for (long long i = (a); i < (b); i++) #define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--) #define fi first #define se second #define ini(...) \ int __VA_ARGS__; \ in(__VA_ARGS__) #define inl(...) \ long long __VA_ARGS__; \ in(__VA_ARGS__) #define ins(...) \ string __VA_ARGS__; \ in(__VA_ARGS__) #define in2(s, t) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i]); \ } #define in3(s, t, u) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i]); \ } #define in4(s, t, u, v) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i], v[i]); \ } #define die(...) \ do { \ Nyaan::out(__VA_ARGS__); \ return; \ } while (0) namespace Nyaan { void solve(); } int main() { Nyaan::solve(); } // template struct edge { int src, to; T cost; edge(int _to, T _cost) : src(-1), to(_to), cost(_cost) {} edge(int _src, int _to, T _cost) : src(_src), to(_to), cost(_cost) {} edge &operator=(const int &x) { to = x; return *this; } operator int() const { return to; } }; template using Edges = vector>; template using WeightedGraph = vector>; using UnweightedGraph = vector>; // Input of (Unweighted) Graph UnweightedGraph graph(int N, int M = -1, bool is_directed = false, bool is_1origin = true) { UnweightedGraph g(N); if (M == -1) M = N - 1; for (int _ = 0; _ < M; _++) { int x, y; cin >> x >> y; if (is_1origin) x--, y--; g[x].push_back(y); if (!is_directed) g[y].push_back(x); } return g; } // Input of Weighted Graph template WeightedGraph wgraph(int N, int M = -1, bool is_directed = false, bool is_1origin = true) { WeightedGraph g(N); if (M == -1) M = N - 1; for (int _ = 0; _ < M; _++) { int x, y; cin >> x >> y; T c; cin >> c; if (is_1origin) x--, y--; g[x].emplace_back(x, y, c); if (!is_directed) g[y].emplace_back(y, x, c); } return g; } // Input of Edges template Edges esgraph(int N, int M, int is_weighted = true, bool is_1origin = true) { Edges es; for (int _ = 0; _ < M; _++) { int x, y; cin >> x >> y; T c; if (is_weighted) cin >> c; else c = 1; if (is_1origin) x--, y--; es.emplace_back(x, y, c); } return es; } // Input of Adjacency Matrix template vector> adjgraph(int N, int M, T INF, int is_weighted = true, bool is_directed = false, bool is_1origin = true) { vector> d(N, vector(N, INF)); for (int _ = 0; _ < M; _++) { int x, y; cin >> x >> y; T c; if (is_weighted) cin >> c; else c = 1; if (is_1origin) x--, y--; d[x][y] = c; if (!is_directed) d[y][x] = c; } return d; } /** * @brief グラフテンプレート * @docs docs/graph/graph-template.md */ // LazySegmentTree template struct LazySegmentTree { int n, height; F f; G g; H h; T ti; E ei; vector dat; vector laz; LazySegmentTree(int _n, F _f, G _g, H _h, T _ti, E _ei) : f(_f), g(_g), h(_h), ti(_ti), ei(_ei) { init(_n); } LazySegmentTree(const vector &v, F _f, G _g, H _h, T _ti, E _ei) : f(_f), g(_g), h(_h), ti(_ti), ei(_ei) { init((int)v.size()); build(v); } void init(int _n) { n = 1; height = 0; while (n < _n) n <<= 1, height++; dat.assign(2 * n, ti); laz.assign(2 * n, ei); } void build(const vector &v) { int _n = v.size(); init(_n); for (int i = 0; i < _n; i++) dat[n + i] = v[i]; for (int i = n - 1; i; i--) dat[i] = f(dat[(i << 1) | 0], dat[(i << 1) | 1]); } inline T reflect(int k) { return laz[k] == ei ? dat[k] : g(dat[k], laz[k]); } inline void eval(int k) { if (laz[k] == ei) return; laz[(k << 1) | 0] = h(laz[(k << 1) | 0], laz[k]); laz[(k << 1) | 1] = h(laz[(k << 1) | 1], laz[k]); dat[k] = reflect(k); laz[k] = ei; } inline void thrust(int k) { for (int i = height; i; i--) eval(k >> i); } inline void recalc(int k) { while (k >>= 1) dat[k] = f(reflect((k << 1) | 0), reflect((k << 1) | 1)); } void update(int a, int b, E x) { if (a >= b) return; thrust(a += n); thrust(b += n - 1); for (int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) { if (l & 1) laz[l] = h(laz[l], x), l++; if (r & 1) --r, laz[r] = h(laz[r], x); } recalc(a); recalc(b); } void set_val(int a, T x) { thrust(a += n); dat[a] = x; laz[a] = ei; recalc(a); } T get_val(int a) { thrust(a += n); return reflect(a); } T query(int a, int b) { if (a >= b) return ti; thrust(a += n); thrust(b += n - 1); T vl = ti, vr = ti; for (int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) { if (l & 1) vl = f(vl, reflect(l++)); if (r & 1) vr = f(reflect(--r), vr); } return f(vl, vr); } }; template struct has_cost { private: template static auto confirm(U u) -> decltype(u.cost, std::true_type()); static auto confirm(...) -> std::false_type; public: enum : bool { value = decltype(confirm(std::declval()))::value }; }; template vector> inverse_tree(const vector>& g) { int N = (int)g.size(); vector> rg(N); for (int i = 0; i < N; i++) { for (auto& e : g[i]) { if constexpr (is_same::value) { rg[e].push_back(i); } else if constexpr (has_cost::value) { rg[e].emplace_back(e.to, i, e.cost); } else { assert(0); } } } return rg; } template vector> rooted_tree(const vector>& g, int root = 0) { int N = (int)g.size(); vector> rg(N); vector v(N, false); v[root] = true; queue que; que.emplace(root); while (!que.empty()) { auto p = que.front(); que.pop(); for (auto& e : g[p]) { if (v[e] == false) { v[e] = true; que.push(e); rg[p].push_back(e); } } } return rg; } /** * @brief 根付き木・逆辺からなる木への変換 */ using namespace Nyaan; void q() { inl(N); auto g = graph(N); vi obake(N); { ini(M); rep(i, M) { ini(v); obake[v - 1] = 1; } } g = rooted_tree(g, 0); vi order, par(N, -1); { queue Q; Q.push(0); while (sz(Q)) { int c = Q.front(); Q.pop(); order.push_back(c); each(d, g[c]) { par[d] = c; Q.push(d); } } } vi inv = mkinv(order); trc(order); trc(inv); LazySegmentTree seg( vp(N + 1, pl{0, 1}), [](pl a, pl b) { if (a.fi == b.fi) return pl{a.fi, a.se + b.se}; return min(a, b); }, [](pl a, int b) { return pl{a.fi + b, a.se}; }, [](int a, int b) { return a + b; }, pl{inf, 0}, 0); // 地点 x auto f = [&](int x, int act) { seg.update(order[x], order[x] + 1, act ? 1 : -1); if (sz(g[x])) { int L = order[g[x][0]]; int R = order[g[x].back()] + 1; seg.update(L, R, act ? 1 : -1); } if (x != 0) { int p = par[x]; seg.update(order[p], order[p] + 1, act ? 1 : -1); } }; rep(i, N) if (obake[i]) f(i, 1); rep(i, N) trc(i, seg.get_val(order[i])); trc(seg.query(0, N)); rep(i, N) { if (obake[i]) f(i, 0); each(j, g[i]) if (obake[j]) f(j, 0); if (i and obake[par[i]]) f(par[i], 0); auto [mn, num] = seg.query(0, N); out(mn ? N : N - num); if (obake[i]) f(i, 1); each(j, g[i]) if (obake[j]) f(j, 1); if (i and obake[par[i]]) f(par[i], 1); } } void Nyaan::solve() { int t = 1; // in(t); while (t--) q(); }