#include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef vector vl; typedef vector> vvl; typedef pair P; #define rep(i, n) for(ll i = 0; i < n; i++) #define exrep(i, a, b) for(ll i = a; i <= b; i++) #define out(x) cout << x << endl #define exout(x) printf("%.10f\n", x) #define chmax(x, y) x = max(x, y) #define chmin(x, y) x = min(x, y) #define all(a) a.begin(), a.end() #define rall(a) a.rbegin(), a.rend() #define pb push_back #define re0 return 0 const ll mod = 1000000007; const ll INF = 1e16; const ll MAX_N = 100010; int main() { ll n; cin >> n; vector> G(n); vl deg(n); rep(i, n-1) { ll a, b; cin >> a >> b; a--; b--; G[a].emplace_back(make_pair(b, 1)); G[b].emplace_back(make_pair(a, 1)); deg[a]++; deg[b]++; } vl dist1(n, -1); // dist1[v] : 頂点vの頂点0からの距離 queue Q1; dist1[0] = 0; Q1.push(0); while(!Q1.empty()) { ll v = Q1.front(); Q1.pop(); for(auto p : G[v]) { ll u = p.first; ll cost = p.second; if(dist1[u] != -1) { continue; } dist1[u] = dist1[v] + cost; Q1.push(u); } } ll vertex1 = 0; // 頂点0からの距離が最大の頂点 rep(v, n) { if(dist1[vertex1] < dist1[v]) { vertex1 = v; } } vl dist2(n, -1); // dist2[v] : 頂点vの頂点vertex1からの距離 queue Q2; dist2[vertex1] = 0; Q2.push(vertex1); while(!Q2.empty()) { ll v = Q2.front(); Q2.pop(); for(auto p : G[v]) { ll u = p.first; ll cost = p.second; if(dist2[u] != -1) { continue; } dist2[u] = dist2[v] + cost; Q2.push(u); } } ll vertex2 = vertex1; // 頂点vertex1からの距離が最大の頂点 ll TreeDiameter = 0; // 木の直径 rep(v, n) { if(dist2[vertex2] < dist2[v]) { vertex2 = v; TreeDiameter = dist2[v]; } } bool ok = false; if(TreeDiameter == n-1) { ok = true; } rep(v, n) { if(deg[v] == n-1) { ok = true; } } if(ok) { out("Yes"); } else { out("No"); } re0; }