#pragma GCC target("avx2") #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #include //#include using namespace std; //using namespace atcoder; #define DEBUG #ifdef DEBUG template ostream &operator<<(ostream &os, const pair &p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream &operator<<(ostream &os, const vector &v) { os << '{'; for(int i = 0; i < (int)v.size(); i++) { if(i) { os << ','; } os << v[i]; } os << '}'; return os; } void debugg() { cerr << endl; } template void debugg(const T &x, const Args &... args) { cerr << " " << x; debugg(args...); } #define debug(...) \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debugg(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif using namespace std; typedef long long ll; typedef vector vl; typedef vector vvl; typedef vector vc; typedef vector vs; typedef vector vb; typedef vector vd; typedef pair P; typedef pair pii; typedef vector

vpl; typedef tuple tapu; #define rep(i,n) for(int i=0; i<(n); i++) #define REP(i,a,b) for(int i=(a); i<(b); i++) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() const int inf = 1<<30; const ll linf = 1LL<<62; const int MAX = 510000; int dy[8] = {0,1,0,-1,1,-1,-1,1}; int dx[8] = {-1,0,1,0,1,-1,1,-1}; const double pi = acos(-1); const double eps = 1e-7; template inline bool chmin(T1 &a,T2 b){ if(a>b){ a = b; return true; } else return false; } template inline bool chmax(T1 &a,T2 b){ if(a inline void print(T &a){ int sz = a.size(); for(auto itr = a.begin(); itr != a.end(); itr++){ cout << *itr; sz--; if(sz) cout << " "; } cout << "\n"; } template inline void print2(T1 a, T2 b){ cout << a << " " << b << "\n"; } template inline void print3(T1 a, T2 b, T3 c){ cout << a << " " << b << " " << c << "\n"; } void mark() {cout << "#" << "\n";} ll pcount(ll x) {return __builtin_popcountll(x);} const int mod = 1e9 + 7; //const int mod = 998244353; vl bfs(int s, vvl &G, int n){ vl d(n,inf); d[s] = 0; queue q; q.push(s); while(!q.empty()){ int u = q.front(); q.pop(); for(auto v : G[u]){ if(chmin(d[v], d[u] + 1)) q.push(v); } } return d; } int main(){ int n; cin >> n; vvl G(n); rep(i,n-1){ int a,b; cin >> a >> b; a--; b--; G[a].push_back(b); G[b].push_back(a); } bool f = true; rep(i,n){ if(G[i].size() > 2) f = false; } if(f){ cout << "Yes\n"; return 0; } auto d0 = bfs(0,G,n); int t = max_element(all(d0)) - d0.begin(); auto dt = bfs(t,G,n); int u = max_element(all(dt)) - dt.begin(); int mx = dt[u]; auto du = bfs(u,G,n); int pre = -1; int now = t; rep(z,mx/2){ for(auto v : G[now]){ if(v == pre) continue; if(dt[v] + du[v] == mx){ pre = now; now = v; break; } } } vl d(n,inf); queue q; q.push(now); d[now] = 0; if(mx & 1){ cout << "No\n"; return 0; } while(!q.empty()){ int u = q.front(); q.pop(); for(auto v : G[u]){ if(chmin(d[v], d[u] + 1)) q.push(v); } } set se; rep(i,n){ if(G[i].size() == 1) se.insert(d[i]); } if(se.size() == 1) cout << "Yes\n"; else cout << "No\n"; }