#include #include #include using namespace std; #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i #include #include #include // Rerooting // Reference: // - https://atcoder.jp/contests/abc222/editorial/2749 // - https://null-mn.hatenablog.com/entry/2020/04/14/124151 template struct rerooting { int n_; std::vector par, visited; std::vector>> to; std::vector dp_subtree; std::vector dp_par; std::vector dpall; rerooting(const std::vector>> &to_) : n_(to_.size()), par(n_, -1), visited(n_, 0), to(to_) { for (int i = 0; i < n_; ++i) dp_subtree.push_back(g(e(), i)); dp_par = dpall = dp_subtree; } void run_connected(int root) { if (visited[root]) return; visited[root] = 1; std::vector visorder{root}; for (int t = 0; t < int(visorder.size()); ++t) { int now = visorder[t]; for (const auto &edge : to[now]) { int nxt = edge.first; if (visited[nxt]) continue; visorder.push_back(nxt); visited[nxt] = 1; par[nxt] = now; } } for (int t = int(visorder.size()) - 1; t >= 0; --t) { int now = visorder[t]; Ch ch = e(); for (const auto &edge : to[now]) { int nxt = edge.first; if (nxt == par[now]) continue; ch = merge(ch, f(dp_subtree[nxt], nxt, edge.second)); } dp_subtree[now] = g(ch, now); } std::vector left; for (int now : visorder) { int m = int(to[now].size()); left.assign(m + 1, e()); for (int j = 0; j < m; j++) { int nxt = to[now][j].first; const St &st = (nxt == par[now] ? dp_par[now] : dp_subtree[nxt]); left[j + 1] = merge(left[j], f(st, nxt, to[now][j].second)); } dpall[now] = g(left.back(), now); Ch rprod = e(); for (int j = m - 1; j >= 0; --j) { int nxt = to[now][j].first; if (nxt != par[now]) dp_par[nxt] = g(merge(left[j], rprod), now); const St &st = (nxt == par[now] ? dp_par[now] : dp_subtree[nxt]); rprod = merge(f(st, nxt, to[now][j].second), rprod); } } } void run() { for (int i = 0; i < n_; ++i) { if (!visited[i]) run_connected(i); } } const St &get_subtree(int root_, int par_) const { if (par_ < 0) return dpall.at(root_); if (par.at(root_) == par_) return dp_subtree.at(root_); if (par.at(par_) == root_) return dp_par.at(par_); std::exit(1); } }; using Subtree = pair; // (塗った、塗らない) using Child = pair; struct Edge {}; Child e() { return {0, 0}; } Child merge(Child x, Child y) { return {max(x.first, x.second) + max(y.first, y.second), x.second + y.second}; } Child f(Subtree x, int, Edge) { return x; } Subtree g(Child x, int) { return {1 + x.second, max(x.first, x.second)}; } int main() { cin.tie(nullptr), ios::sync_with_stdio(false); int N; cin >> N; vector>> to(N); REP(e, N - 1) { int a, b; cin >> a >> b; --a, --b; to.at(a).emplace_back(b, Edge{}); to.at(b).emplace_back(a, Edge{}); } rerooting tree(to); tree.run(); int ret = N; REP(i, N) ret = min(ret, tree.dpall.at(i).first); cout << ret << '\n'; }