#line 1 "test/tree/RerootingDP.test.cpp" #define PROBLEM "https://yukicoder.me/problems/no/1976" #line 2 "template/template.hpp" #include #define rep(i, s, n) for (int i = s; i < (int)(n); i++) #define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--) #define all(v) v.begin(), v.end() using ll = long long; using ld = long double; using ull = unsigned long long; template bool chmin(T &a, const T &b) { if (a <= b) return false; a = b; return true; } template bool chmax(T &a, const T &b) { if (a >= b) return false; a = b; return true; } namespace lib { using namespace std; } // namespace lib // using namespace lib; #line 2 "tree/RerootingDP.hpp" #line 4 "tree/RerootingDP.hpp" namespace lib { template struct RerootingDP { struct edge { int to, idx, xdi; }; RerootingDP(int _n = 0) : n(_n) { es.resize(n); } void add_edge(int u, int v, int idx1, int idx2) { es[u].push_back({v, idx1, idx2}); es[v].push_back({u, idx2, idx1}); } vector build(int v = 0) { root = v; outs.resize(n); subdp.resize(n); in.resize(n), up.resize(n); int tnow = 0; dfs(root, -1, tnow); return subdp; } vector reroot() { reverse_edge.resize(n); reverse_edge[root] = e(); reverse_dp.resize(n); answers.resize(n); bfs(root); return answers; } V get(int r, int v) { if (r == v) return answers[r]; if (!(in[v] < in[r] && up[r] <= up[v])) return subdp[v]; int le = 0, ri = outs[v].size(); while (ri - le > 1) { int md = (le + ri) / 2; if (in[es[v][md].to] <= in[r]) le = md; else ri = md; } return reverse_dp[es[v][le].to]; } const vector &operator[](int idx) const { return es[idx]; } private: int n, root; vector> es; vector> outs; vector reverse_edge; vector subdp, reverse_dp, answers; vector in, up; void dfs(int v, int p, int &t) { E val = e(); in[v] = t++; for (auto &u : es[v]) { if (u.to == p && u.to != es[v].back().to) swap(u, es[v].back()); if (u.to == p) continue; dfs(u.to, v, t); E nval = put_edge(subdp[u.to], u.idx); outs[v].emplace_back(nval); val = merge(val, nval); } subdp[v] = put_vertex(val, v); up[v] = t; } void bfs(int v) { int siz = outs[v].size(); vector lui(siz + 1), rui(siz + 1); lui[0] = e(), rui[siz] = e(); for (int i = 0; i < siz; i++) lui[i + 1] = merge(lui[i], outs[v][i]); for (int i = siz - 1; i >= 0; i--) rui[i] = merge(outs[v][i], rui[i + 1]); for (int i = 0; i < siz; i++) { reverse_dp[es[v][i].to] = put_vertex( merge(merge(lui[i], rui[i + 1]), reverse_edge[v]), v); reverse_edge[es[v][i].to] = put_edge(reverse_dp[es[v][i].to], es[v][i].xdi); bfs(es[v][i].to); } answers[v] = put_vertex(merge(lui[siz], reverse_edge[v]), v); } }; } // namespace lib #line 5 "test/tree/RerootingDP.test.cpp" using namespace lib; using P = pair; P merge(P a, P b){ return P(max(max(a.first,b.first),a.second+b.second),max(a.second,b.second)); } P e(){ return P(0,0); } P pute(P v, int id){ return P(max(v.first,v.second+1),v.second+1); } P putv(P e, int id){ return e; } int main(){ int n; cin >> n; RerootingDP g(n); for (int i = 0; i < n-1; i++){ int u, v; cin >> u >> v; u--, v--; g.add_edge(u,v,i,i); } g.build(); g.reroot(); int ans = n; for (int u = 0; u < n; u++){ for (auto [v, idx, dxi] : g[u]){ int x = g.get(u,v).first; int y = g.get(v,u).first; ans = min(ans,max({x,y,(x+1)/2+(y+1)/2+1})); } } cout << ans << endl; }