#include #include using ll = long long; using ull = unsigned long long; #define rep(i, n) for(int i = 0; i < (int)(n); i++) #define REP(i, m, n) for(int i = (int)(m); i < (int)(n); i++) using namespace std; using namespace atcoder; using mint = modint998244353; const int inf = 1000000007; const ll longinf = 1ll << 60; template struct RerootingDP { struct edge { int to, idx, xdi; }; RerootingDP(int n_ = 0) : n(n_), inner_edge_id(0) { es.resize(2 * n - 2); start.resize(2 * n - 2); if(n == 1) es_build(); } void add_edge(int u, int v, int idx, int xdi) { start[inner_edge_id] = u; es[inner_edge_id] = {v, idx, xdi}; inner_edge_id++; start[inner_edge_id] = v; es[inner_edge_id] = {u, xdi, idx}; inner_edge_id++; if(inner_edge_id == 2 * n - 2) { es_build(); } } vector build(int root_ = 0) { root = root_; vector subdp(n); subdp[0] = put_vertex(e(), 0); outs.resize(n); vector geta(n + 1, 0); for(int i = 0; i < n; i++) geta[i + 1] = start[i + 1] - start[i] - 1; geta[root + 1]++; for(int i = 0; i < n; i++) geta[i + 1] += geta[i]; auto dfs = [&](auto sfs, int v, int f) -> void { E val = e(); for(int i = start[v]; i < start[v + 1]; i++) { if(es[i].to == f) { swap(es[start[v + 1] - 1], es[i]); } if(es[i].to == f) continue; sfs(sfs, es[i].to, v); E nval = put_edge(subdp[es[i].to], es[i].idx); outs[geta[v]++] = nval; val = merge(val, nval); } subdp[v] = put_vertex(val, v); }; dfs(dfs, root, -1); return subdp; } vector reroot() { vector reverse_edge(n); reverse_edge[root] = e(); vector answers(n); auto dfs = [&](auto sfs, int v) -> void { int le = outs_start(v); int ri = outs_start(v + 1); int siz = ri - le; vector rui(siz + 1); rui[siz] = e(); for(int i = siz - 1; i >= 0; i--) { rui[i] = merge(outs[le + i], rui[i + 1]); } answers[v] = put_vertex(merge(rui[0], reverse_edge[v]), v); E lui = e(); for(int i = 0; i < siz; i++) { V rdp = put_vertex(merge(merge(lui, rui[i + 1]), reverse_edge[v]), v); reverse_edge[es[start[v] + i].to] = put_edge(rdp, es[start[v] + i].xdi); lui = merge(lui, outs[le + i]); sfs(sfs, es[start[v] + i].to); } }; dfs(dfs, root); return answers; } private: int n, root, inner_edge_id; vector outs; vector es; vector start; int outs_start(int v) { int res = start[v] - v; if(root < v) res++; return res; } void es_build() { vector nes(2 * n - 2); vector nstart(n + 2, 0); for(int i = 0; i < 2 * n - 2; i++) nstart[start[i] + 2]++; for(int i = 0; i < n; i++) nstart[i + 1] += nstart[i]; for(int i = 0; i < 2 * n - 2; i++) nes[nstart[start[i] + 1]++] = es[i]; swap(es, nes); swap(start, nstart); } }; using P = pair; P e() { return {0, 0}; } P merge(P x, P y) { return {x.first + y.first, x.second + y.second}; } P put_edge(P x, int i) { return {max(x.second, x.first), x.first}; } P put_vertex(P x, int i) { return {x.first, x.second + 1}; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n; cin >> n; RerootingDP g(n); for(int i = 0; i < n - 1; i++) { int u, v; cin >> u >> v; g.add_edge(u - 1, v - 1, i, i); } g.build(); int ans = inf; for(auto ret : g.reroot()) { ans = min(ans, ret.second); } cout << ans << endl; return 0; }