#include using namespace std; //#include //using namespace atcoder; //using mint = modint998244353; //多倍長整数// //#include //namespace mp = boost::multiprecision; //using Bint = mp::cpp_int; const int INF = 1e9; const int MOD = 998244353; const long long LINF = 4e18; using ll = long long; using vi = vector; using vl = vector; using vs = vector; using vc = vector; using vb = vector; using vvi = vector>; using vvvi = vector>>; using vvvvi = vector>>>; using vvl = vector>; using vvvl = vector>>; using vvvvl = vector>>>; using vvc = vector>; using vvb = vector>; using vvvb = vector>>; using vvvvb = vector>>>; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define dump(x) cout << #x << " = " << (x) << endl; #define Yes(n) cout << ((n) ? "Yes" : "No" ) << endl #define ALL(obj) (obj).begin(),(obj).end() //https://trap.jp/post/1702/ 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); } }; pair merge(pair a,pair b){ return {a.first + b.first,a.second + b.second}; } pair e(){ return make_pair(0,0); } pair put_e(pair x,int i){ return {x.first,max(x.first,x.second)}; } pair put_v(pair x,int i){ return {x.second,x.first + 1}; } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; RerootingDP, pair,merge, e,put_e,put_v> dp(n); rep(i,n - 1){ int a,b; cin >> a >> b; a--;b--; dp.add_edge(a,b,i,i + n); } int ans = INF; dp.build(); auto ret = dp.reroot(); // cout << endl; // rep(i,n) cout << ret[i].first << ' ' << ret[i].second << endl; rep(i,n){ ans = min(ans,ret[i].second); } cout << ans << endl; return 0; }