#include #include #include #include #include #include #include using namespace std; using ll = long long; int d0 = -1, d1 = 1 << 30, r = 1; struct Graph { struct Vertex { int n, k; }; struct Edge { int i, n; }; Graph(int n, int m) : v(n, { -1 }), e(m), n(n), m(0) {} void add_edge(int a, int b) { e[m] = { b, v[a].n }; v[a].n = m; m++; } void dfs(int i, int p, int d) { if (d1 > n && v[i].k > 2) d1 = d; for (int j = v[i].n; j >= 0; j = e[j].n) { Edge &o = e[j]; if (o.i == p) continue; dfs(o.i, i, d + 1); } if (d > 0 && v[i].k == 1) { if (d0 < 0) d0 = d; else if (d != d0) r = 0; } if (d > d1 && v[i].k > 2) r = 0; } void solve() { for (int i = 0; i < n; i++) { int k = 0; for (int j = v[i].n; j >= 0; j = e[j].n) { k++; } v[i].k = k; } for (int i = 0; i < n; i++) { if (v[i].k == 1) { dfs(i, -1, 0); if (d1 < n && d0 != d1 * 2) r = 0; cout << (r ? "Yes" : "No") << endl; exit(0); } } } vector v; vector e; int n, m; }; int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; Graph g(n, (n - 1) * 2); for (int i = 0; i < n - 1; i++) { int a, b; cin >> a >> b; a--; b--; g.add_edge(a, b); g.add_edge(b, a); } g.solve(); return 0; }