#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; std::vector centroid(const std::vector> &graph) { int n = graph.size(); std::vector subtree(n, 1), res; std::function dfs = [&graph, n, &subtree, &res, &dfs](int par, int ver) { bool is_centroid = true; for (int e : graph[ver]) { if (e != par) { dfs(ver, e); subtree[ver] += subtree[e]; is_centroid &= subtree[e] <= n / 2; } } if (is_centroid && (n - subtree[ver]) <= n / 2) res.emplace_back(ver); }; dfs(-1, 0); std::sort(res.begin(), res.end()); return res; } int main() { int n; cin >> n; vector> graph(n); REP(_, n - 1) { int a, b; cin >> a >> b; --a; --b; graph[a].emplace_back(b); graph[b].emplace_back(a); } vector cen = centroid(graph); REP(i, n) { if (count(ALL(cen), i) == 0 && graph[i].size() > 2) { cout << "No\n"; return 0; } } auto f = [&](auto &&f, int par, int ver) -> int { if (graph[ver].size() == 1) return 0; return f(f, ver, graph[ver][graph[ver][0] == par ? 1 : 0]) + 1; }; vector dist; if (cen.size() == 1) { for (int e : graph[cen[0]]) dist.emplace_back(f(f, cen[0], e)); } else { for (int e : graph[cen[0]]) { if (e != cen[1]) dist.emplace_back(f(f, cen[0], e)); } for (int e : graph[cen[1]]) { if (e != cen[0]) dist.emplace_back(f(f, cen[1], e)); } } sort(ALL(dist)); cout << (dist.empty() || dist.front() == dist.back() ? "Yes\n" : "No\n"); return 0; }