#pragma GCC optimize("O3") //#pragma GCC target("avx2") //#pragma GCC optimize("unroll-loops") #include using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vld; typedef pair Pll; typedef pair Pin; ll INF = 1e16; int inf = 1e9; #define ALL(x) (x).begin(), (x).end() #define FOR(i, m, n) for (ll i = (m); i < (n); ++i) #define REVFOR(i, m, n) for (ll i = (n - 1); i >= (m); --i) #define REP(i, n) FOR(i, 0, n) #define REVREP(i, n) REVFOR(i, 0, n) #define fi first #define se second #define pb push_back #define mp make_pair #define eb emplace_back #define bcnt __builtin_popcountll #ifdef LOCAL #include #define debug(...) cerr << "[" << #__VA_ARGS__ << "]: ", d_err(__VA_ARGS__); #else #define debug(...) 83; #endif void d_err() { cerr << endl; } template void d_err(H h, T... t) { cerr << h << " "; d_err(t...); } template void print(T x) { cout << x << "\n"; } template void print(vector& x) { int N = x.size(); REP(i, N) { if (i > 0) cout << " "; cout << x[i]; } cout << "\n"; } int main(){ cin.tie(0); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); int n; cin >> n; vector edge(n); REP(i, n - 1) { int a, b; cin >> a >> b; a--, b--; edge[a].eb(b); edge[b].eb(a); } vi dist(n, -1); vi split(n); auto dfs = [&](auto &&f, int cur, int par = -1, int d = 0, int s = 0) -> void { if (edge[cur].size() == 1 && d > 0) { dist[cur] = d; split[cur] = s; return; } if (edge[cur].size() > 2) s = cur; for (auto &e: edge[cur]) { if (e == par) continue; f(f, e, cur, d + 1, s); } }; int root; REP(i, n) { if (edge[i].size() == 1) { root = i; break; } } dfs(dfs, root); int dm = -1; int s; REP(i, n) { if (dist[i] == -1) continue; if (dm < 0) { dm = dist[i]; s = split[i]; } else { if (dist[i] != dm || s != split[i]) { print("No"); return 0; } } } dist.assign(n, -1); dfs(dfs, s); dm = -1; REP(i, n) { if (dist[i] == -1) continue; if (dm < 0) { dm = dist[i]; } else { if (dist[i] != dm) { print("No"); return 0; } } } print("Yes"); }