#include #define REP(i, n) for(int i = 0;i < n;i++) #define ll long long using namespace std; typedef pair P; typedef pair LP; const int dx[8] = {1, 0, -1, 0, 1, -1, -1, 1}; const int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1}; const int INF = 1000000000; const ll LINF = 1000000000000000000;//1e18 const double PI = acos(-1.0); const double EPS = 1e-10; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } inline constexpr ll ceil_div(const ll a, const ll b) {return (a + b - 1) / b - !!((a + b - 1) % b < 0);}// return ceil(a/b) inline constexpr ll floor_div(const ll a, const ll b) {return a / b - !!(a % b < 0);}// return floor(a/b) /* ----------------------- DEBUG FUNCTION ---------------------------- */ #define DUMPOUT cerr void dump_function() { DUMPOUT << ' '; } void dump_function(bool a) { DUMPOUT << a; } void dump_function(int a) { DUMPOUT << a; } void dump_function(long long a) { DUMPOUT << a; } void dump_function(char a) { DUMPOUT << a; } void dump_function(string &a) { DUMPOUT << a; } void dump_function(double a) { DUMPOUT << a; } template void dump_function(const vector &); template void dump_function(const array &); template void dump_function(const pair &p); template void dump_function(const T (&)[size]); template void dump_function(const vector &a) { if(a.empty()) return; dump_function(a[0]); for(auto i = a.begin(); ++i != a.end();) { DUMPOUT << " "; dump_function(*i); } DUMPOUT << endl; } template void dump_function(const deque &a) { if(a.empty()) return; dump_function(a[0]); for(auto i = a.begin(); ++i != a.end();) { DUMPOUT << " "; dump_function(*i); } } template void dump_function(const array &a) { dump_function(a[0]); for(auto i = a.begin(); ++i != a.end();) { DUMPOUT << " "; dump_function(*i); } } template void dump_function(const pair &p) { DUMPOUT << '('; dump_function(p.first); DUMPOUT << ","; dump_function(p.second); DUMPOUT << ')'; } template void dump_function(set &x) { for(auto e : x) dump_function(e), DUMPOUT << " "; DUMPOUT << endl; } template void dump_function(multiset &x) { for(auto e : x) dump_function(e), DUMPOUT << " "; DUMPOUT << endl; } template void dump_function(const T (&a)[size]) { dump_function(a[0]); for(auto i = a; ++i != end(a);) { DUMPOUT << " "; dump_function(*i); } } template void dump_function(const T &a) { DUMPOUT << a; } int dump_out() { DUMPOUT << '\n'; return 0; } template int dump_out(const T &t) { dump_function(t); DUMPOUT << '\n'; return 0; } template int dump_out(const Head &head, const Tail &... tail) { dump_function(head); DUMPOUT << ' '; dump_out(tail...); return 0; } #ifdef DEBUG_ #define dump(x) \ DUMPOUT << #x << ": "; \ dump_function(x); \ DUMPOUT << endl; void dumps() {} template void dumps(const T &t) { dump_function(t); DUMPOUT << " "; } template void dumps(const Head &head, const Tail &... tail) { dump_function(head); DUMPOUT << ' '; dump_out(tail...); } #else #define dump(x) template void dumps(const T &...) {} #endif /* ----------------------- DEBUG FUNCTION ---------------------------- */ template struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % MOD) { if (val < 0) val += MOD; } constexpr int getmod() const { return MOD; } constexpr Fp operator - () const noexcept { return val ? MOD - val : 0; } constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; } constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; } constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; } constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; } constexpr Fp& operator += (const Fp& r) noexcept { val += r.val; if (val >= MOD) val -= MOD; return *this; } constexpr Fp& operator -= (const Fp& r) noexcept { val -= r.val; if (val < 0) val += MOD; return *this; } constexpr Fp& operator *= (const Fp& r) noexcept { val = val * r.val % MOD; return *this; } constexpr Fp& operator /= (const Fp& r) noexcept { long long a = r.val, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b, swap(a, b); u -= t * v, swap(u, v); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } constexpr bool operator == (const Fp& r) const noexcept { return this->val == r.val; } constexpr bool operator != (const Fp& r) const noexcept { return this->val != r.val; } friend constexpr istream& operator >> (istream& is, Fp& x) noexcept { is >> x.val; x.val %= MOD; if (x.val < 0) x.val += MOD; return is; } friend constexpr ostream& operator << (ostream& os, const Fp& x) noexcept { return os << x.val; } friend constexpr Fp modpow(const Fp& r, long long n) noexcept { if (n == 0) return 1; auto t = modpow(r, n / 2); t = t * t; if (n & 1) t = t * r; return t; } friend constexpr Fp modinv(const Fp& r) noexcept { long long a = r.val, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b, swap(a, b); u -= t * v, swap(u, v); } return Fp(u); } }; template struct BiCoef { vector fact_, inv_, finv_; constexpr BiCoef() {} constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) { init(n); } constexpr void init(int n) noexcept { fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1); int MOD = fact_[0].getmod(); for(int i = 2; i < n; i++){ fact_[i] = fact_[i-1] * i; inv_[i] = -inv_[MOD%i] * (MOD/i); finv_[i] = finv_[i-1] * inv_[i]; } } constexpr T com(int n, int k) const noexcept { if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[k] * finv_[n-k]; } constexpr T fact(int n) const noexcept { if (n < 0) return 0; return fact_[n]; } constexpr T inv(int n) const noexcept { if (n < 0) return 0; return inv_[n]; } constexpr T finv(int n) const noexcept { if (n < 0) return 0; return finv_[n]; } constexpr T perm(int n, int k) const noexcept { if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[n-k]; } }; /* ----------------------------- MOD ----------------------------------- */ const int MOD = 1000000007; const int MOD2 = 998244353; using mint = Fp; BiCoef bc; // using vec = vector; // using mat = vector; /* ----------------------------- MOD ----------------------------------- */ /* ----------------------- AtCoder Library ---------------------------- */ // #include // using namespace atcoder; /* ----------------------- AtCoder Library ---------------------------- */ struct treeDiameter{ int N; vector dist; vector> G; int v, w; // 直径のパスのv, w int diameter; // パスv, wの直径の長さ treeDiameter(const int& N) : N(N), dist(N, INF), G(N), v(0), diameter(0){} void add_edge(int u, int v){ G[u].emplace_back(v); G[v].emplace_back(u); } pair bfs(int root, vector& dist){ int v = root; int ma = 0; queue> q; q.emplace(0, root, -1); while(!q.empty()){ auto [d, cur, par] = q.front(); q.pop(); dist[cur] = d; if(dist[cur] > ma){ ma = dist[cur]; v = cur; } for(int nv : G[cur]){ if(nv == par) continue; q.emplace(d+1, nv, cur); } } return make_pair(ma, v); } void build(int root){ dist.assign(N, INF); pair p = bfs(root, dist); w = p.second; dist.assign(N, INF); pair res = bfs(p.second, dist); diameter = res.first; v = res.second; } // 木の中心を求める(最遠距離を最小にする点、高々2個) vector get_center(int root){ vector res; vector dist_v(N, INF); vector dist_w(N, INF); auto res_v = bfs(v, dist_v); auto res_w = bfs(w, dist_w); for(int i=0;i> N; treeDiameter tree(N); vector deg(N); REP(i,N-1){ int a, b; cin >> a >> b; tree.add_edge(--a, --b); deg[a]++, deg[b]++; } tree.build(0); int v = tree.v; int w = tree.w; tree.build(v); auto d1 = tree.dist; tree.build(w); auto d2 = tree.dist; REP(i,N) if(i != v and i != w and deg[i] == 1){ if(d1[i] != tree.diameter or d2[i] != tree.diameter){ cout << "No" << endl; return; } } cout << "Yes" << endl; } int main(){ cin.tie(0); ios::sync_with_stdio(false); solve(); // int T; cin >> T; REP(t,T) solve(); }