#include using namespace std; template Ostream& operator << (Ostream &os, const pair &p){ return os << "{" << p.first << ", " << p.second << "}"; } template typename enable_if::value, Ostream&>::type operator<<(Ostream& os, const Cont& v){ os << "[ "; for(auto &x : v) os << x << ' '; return os << "]"; } void dbg_cerr() { cerr << "\e[0m\n"; } template void dbg_cerr(Head H, Tail... T) { cerr << ' ' << H; dbg_cerr(T...); } #ifdef LTF #define DEBUG(...) cerr << "\e[1;31m[" #__VA_ARGS__ "]:", dbg_cerr(__VA_ARGS__) #else #define DEBUG(...) #endif constexpr int64_t kInf = int64_t(1e18); void Solve() { int N; cin >> N; vector g(N, vector()); for (int i = 0; i < N - 1; i++) { int x, y; cin >> x >> y; x--, y--; g[x].push_back(y), g[y].push_back(x); } auto merge = [&](auto a, auto b) { auto c = a; c[0] = a[0] + b[0], c[1] = a[1] + b[1]; return c; }; auto apply = [&](auto a) { auto b = a; b[1] = a[0], b[0] = max(a[0], a[1] + 1); return b; }; // 0: not contain, 1: contain vector> dp(N, {0, 0}); auto Dfs1 = [&](auto self, int u, int fa) -> void { for (int v : g[u]) { if (v == fa) continue; self(self, v, u); dp[u] = merge(dp[u], apply(dp[v])); } }; Dfs1(Dfs1, 0, -1); vector> dp2(N, {0, 0}); auto Dfs2 = [&](auto self, auto &top_dp, int u, int fa) -> void { int sz = int(g[u].size()); vector> ds(sz); for (int i = 0; auto &v : g[u]) { if (v == fa) ds[i] = top_dp; else ds[i] = apply(dp[v]); i++; } vector> dp_l(sz + 1, {0, 0}); vector> dp_r(sz + 1, {0, 0}); for (int i = 0; i + 1 <= sz; i++) dp_l[i + 1] = merge(dp_l[i], ds[i]); for (int i = sz - 1; i >= 0; i--) dp_r[i] = merge(dp_r[i + 1], ds[i]); dp2[u] = dp_l.back(); for (int i = 0; auto &v : g[u]) { // [0, i) & [i + 1, sz) if (v != fa) { auto down_dp = apply(merge(dp_l[i], dp_r[i + 1])); self(self, down_dp, v, u); } i++; } }; array basis = {0, 0}; Dfs2(Dfs2, basis, 0, -1); int ans = N; for (int i = 0; i < N; i++) ans = min(ans, dp2[i][1]); cout << ans + 1 << '\n'; } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); int T = 1; // cin >> T; while (T--) { Solve(); } return 0; }