#pragma GCC optimize("Ofast") #pragma GCC target ("sse4") #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; //#define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; constexpr ll mod = 998244353; const ll INF = mod * mod; typedef pairP; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) #define all(v) (v).begin(),(v).end() typedef pair LP; typedef double ld; typedef pair LDP; const ld eps = 1e-12; const ld pi = acosl(-1.0); ll mod_pow(ll x, ll n, ll m = mod) { ll res = 1; while (n) { if (n & 1)res = res * x % m; x = x * x % m; n >>= 1; } return res; } struct modint { ll n; modint() :n(0) { ; } modint(ll m) :n(m) { if (n >= mod)n %= mod; else if (n < 0)n = (n % mod + mod) % mod; } operator int() { return n; } }; bool operator==(modint a, modint b) { return a.n == b.n; } modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; } modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; } modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; } modint operator+(modint a, modint b) { return a += b; } modint operator-(modint a, modint b) { return a -= b; } modint operator*(modint a, modint b) { return a *= b; } modint operator^(modint a, ll n) { if (n == 0)return modint(1); modint res = (a * a) ^ (n / 2); if (n % 2)res = res * a; return res; } ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); } modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); } const int max_n = 1 << 18; modint fact[max_n], factinv[max_n]; void init_f() { fact[0] = modint(1); for (int i = 0; i < max_n - 1; i++) { fact[i + 1] = fact[i] * modint(i + 1); } factinv[max_n - 1] = modint(1) / fact[max_n - 1]; for (int i = max_n - 2; i >= 0; i--) { factinv[i] = factinv[i + 1] * modint(i + 1); } } modint comb(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[b] * factinv[a - b]; } const int mn = 1 << 18; struct edge { int to; }; //can,canrev using Data = pair; vector G[mn]; int mi[mn]; vector ids[mn]; vector memo[mn]; int root; Data dfs(int id, int fr) { Data res; vector> vb; for (edge e : G[id]) { if (e.to == fr)continue; Data nex = dfs(e.to, id); if (mi[e.to] != id) { nex.second = false; } //cout << "? " << e.to << " " << id << " " << nex.first << " " << nex.second << "\n"; vb.push_back(nex); ids[id].push_back(e.to); memo[id].push_back(nex); } // //update for return res.second = true; rep(j, ids[id].size()) { if (!vb[j].second)res.second = false; } res.first = true; int ma = 0; rep(j, ids[id].size())ma = max(ma, ids[id][j]); rep(j, ids[id].size()) { if (ids[id][j] == ma) { if (!vb[j].first)res.first = false; } else { if (!vb[j].second)res.first = false; } } bool b1 = true; rep(j, ids[id].size()) { if (ids[id][j] == mi[id]) { if (!vb[j].first)b1 = false; } else { if (!vb[j].second)b1 = false; } } if (b1)res.first = true; // return res; } bool ans[mn]; void invdfs(int id, int fr, Data pre) { if (fr >= 0) { //cout << id << " " << fr << " " << pre.first << " " << pre.second << "\n"; } vector v; vector vid; rep(j, memo[id].size()) { v.push_back(memo[id][j]); vid.push_back(ids[id][j]); } if (fr >= 0) { v.push_back(pre); vid.push_back(fr); } int len = v.size(); // //calcurate id's ans int ma = 0; for (int to : vid)ma = max(ma, to); ans[id] = true; rep(j, vid.size()) { if (vid[j] == ma) { if (!v[j].first)ans[id] = false; } else { if (!v[j].second)ans[id] = false; } } bool b1 = true; rep(j, vid.size()) { if (vid[j] == mi[id]) { if (!v[j].first)b1 = false; } else { if (!v[j].second)b1 = false; } } if (b1)ans[id] = true; set> st; int c0 = 0, c1 = 0; rep(j, v.size()) { st.insert({ vid[j],v[j] }); if (v[j].first)c0++; if (v[j].second)c1++; } rep(i, ids[id].size()) { int to = ids[id][i]; st.erase({ vid[i],v[i] }); if (v[i].first)c0--; if (v[i].second)c1--; Data d = { true,true }; if (c1 != (int)v.size() - 1)d.second = false; if (to != mi[id])d.second = false; if (st.size()) { pairlas = *--st.end(); int z = c1; if (las.second.second)z--; if (!las.second.first)d.first = false; if (z != (int)v.size() - 2)d.first = false; bool b1 = true; pair fst = *st.begin(); if (fst.first == mi[id]) { z = c1; if (fst.second.second)z--; if (!fst.second.first)b1 = false; if (z != (int)v.size() - 2)b1 = false; } else b1 = false; if (b1)d.first = true; } else { d.first = true; } invdfs(to, id, d); st.insert({ vid[i],v[i] }); if (v[i].first)c0++; if (v[i].second)c1++; } } void yaru() { dfs(root, -1); invdfs(root, -1, { true,true }); } void solve() { int n; cin >> n; rep(i, n)mi[i] = mod; rep(i, n - 1) { int a, b; cin >> a >> b; a--; b--; G[a].push_back({ b }); G[b].push_back({ a }); mi[a] = min(mi[a], b); mi[b] = min(mi[b], a); } yaru(); rep(i, n) { if (ans[i])cout << "Yes\n"; else cout << "No\n"; } } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(15); //init_f(); //init(); //expr(); //int t; cin >> t; rep(i, t) solve(); return 0; }