#include #pragma GCC diagnostic ignored "-Wsign-compare" #pragma GCC diagnostic ignored "-Wsign-conversion" //!===========================================================!// //! dP dP dP !// //! 88 88 88 !// //! 88aaaaa88a .d8888b. .d8888b. .d888b88 .d8888b. 88d888b. !// //! 88 88 88ooood8 88' '88 88' '88 88ooood8 88' '88 !// //! 88 88 88. ... 88. .88 88. .88 88. ... 88 !// //! dP dP '88888P' '88888P8 '88888P8 '88888P' dP !// //!===========================================================!// using ld = long double; using uint = unsigned int; using ll = long long; using ull = unsigned long long; template constexpr T INF = std::numeric_limits::max() / 4; template constexpr T MOD = static_cast(1000000007); template constexpr F PI = static_cast(3.1415926535897932385); //! メルセンヌ・ツイスタ !// std::mt19937 mt{std::random_device{}()}; //! Debug出力 !// #define SHOW(...) (std::cerr << "(" << #__VA_ARGS__ << ") = ("), HogeHogeSansuu(__VA_ARGS__), std::cerr << ")" << std::endl; struct has_debugPrint_impl { template static auto check(T&& x) -> decltype(x.debugPrint(), std::true_type{}); template static auto check(...) -> std::false_type; }; template class has_debugPrint : public decltype(has_debugPrint_impl::check(std::declval())) { }; template struct HogeHogeDump { template static void dump(const T& x) { x.debugPrint(); } }; template <> struct HogeHogeDump { template static void dump(const T& x) { std::cerr << x; } }; void HogeHogeSansuu() { ; } template void HogeHogeSansuu(const T& x) { HogeHogeDump::value>::dump(x); } template void HogeHogeSansuu(const T& x, Args... args) { HogeHogeDump::value>::dump(x), std::cerr << ",", HogeHogeSansuu(args...); } //! chminとchmax !// template bool chmin(T& a, const T& b) { return a = std::min(a, b), a == b; } template bool chmax(T& a, const T& b) { return a = std::max(a, b), a == b; } //! Rep関数 !// template void For(const T s, const T t, const F f) { for (T i = s; i != t; i += T(s < t ? 1 : -1)) { f(i); } } template void Rep(const T N, const F f) { For(0, N, f); } template void RRep(const T N, const F f) { For(N - 1, -1, f); } //! Vec関数 !// template std::vector Vec(const std::size_t n, T v) { return std::vector(n, v); } template auto Vec(const std::size_t n, Args... args) { return std::vector(n, Vec(args...)); } //! ビット演算 !// template constexpr T popCount(const T u) { #ifdef __has_builtin return u == 0 ? T(0) : (T)__builtin_popcountll(u); #else unsigned long long v = static_cast(u); return v = (v & 0x5555555555555555ULL) + (v >> 1 & 0x5555555555555555ULL), v = (v & 0x3333333333333333ULL) + (v >> 2 & 0x3333333333333333ULL), v = (v + (v >> 4)) & 0x0F0F0F0F0F0F0F0FULL, static_cast(v * 0x0101010101010101ULL >> 56 & 0x7f); #endif } template constexpr T log2p1(const T u) { #ifdef __has_builtin return u == 0 ? T(0) : T(64 - __builtin_clzll(u)); #else unsigned long long v = static_cast(u); return v = static_cast(v), v |= (v >> 1), v |= (v >> 2), v |= (v >> 4), v |= (v >> 8), v |= (v >> 16), v |= (v >> 32), popCount(v); #endif } template constexpr T clog(const T v) { return v == 0 ? T(0) : log2p1(v - 1); } template constexpr T msbp1(const T v) { return log2p1(v); } template constexpr T lsbp1(const T v) { #ifdef __has_builtin return __builtin_ffsll(v); #else return v == 0 ? T(0) : popCount((v & (-v)) - T(1)) + T(1); #endif } template constexpr bool ispow2(const T v) { return popCount(v) == 1; } template constexpr T ceil2(const T v) { return v == 0 ? T(1) : T(1) << log2p1(v - 1); } template constexpr T floor2(const T v) { return v == 0 ? T(0) : T(1) << (log2p1(v) - 1); } //! 累積和 !// template struct Accum { template Accum(const InIt first, const InIt last) : accum(std::size_t(std::distance(first, last))) { std::partial_sum(first, last, accum.begin()); } T sum(const std::size_t i) const { return i == 0 ? T(0) : accum[i - 1]; } T sum(const std::size_t l, const std::size_t r) const { return sum(r) - sum(l); } std::vector accum; }; template struct Accum2D { Accum2D(const std::vector>& t) : accum{t} { for (std::size_t i = 0; i < accum.size(); i++) { for (std::size_t j = 1; j < accum[i].size(); j++) { accum[i][j] += accum[i][j - 1]; } } for (std::size_t i = 1; i < accum.size(); i++) { for (std::size_t j = 0; j < accum[i].size(); j++) { accum[i][j] += accum[i - 1][j]; } } } T sum(const std::size_t y, const std::size_t x) const { return y == 0 or x == 0 ? T(0) : accum[y - 1][x - 1]; } T sum(const std::size_t ymin, const std::size_t ysup, const std::size_t xmin, const std::size_t xsup) const { return sum(ysup, xsup) - sum(ymin, xmin); } std::vector> accum; }; //! 座標圧縮 !// template struct Zip { template Zip(const InIt first, const InIt last) : unzip(std::size_t(std::distance(first, last))) { std::copy(first, last, unzip), std::sort(unzip.begin(), unzip.end()), unzip.erase(std::unique(unzip.begin(), unzip.end()), unzip.end()); for (std::size_t i = 0; i < unzip.size(); i++) { zip[unzip[i]] = i; } } std::vector unzip; std::map zip; }; //! STLの出力関数 !// template std::ostream& operator<<(std::ostream& os, const std::array& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } template std::ostream& operator<<(std::ostream& os, const std::deque& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } template std::ostream& operator<<(std::ostream& os, const std::multimap& v) { os << "["; for (const auto& e : v) { os << "<" << e.first << ": " << e.second << ">,"; } return (os << "]" << std::endl); } template std::ostream& operator<<(std::ostream& os, const std::multiset& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } template std::ostream& operator<<(std::ostream& os, const std::map& v) { os << "["; for (const auto& e : v) { os << "<" << e.first << ": " << e.second << ">,"; } return (os << "]" << std::endl); } template std::ostream& operator<<(std::ostream& os, const std::pair& v) { return (os << "<" << v.first << "," << v.second << ">"); } template std::ostream& operator<<(std::ostream& os, const std::priority_queue& v) { auto q = v; os << "["; while (not q.empty()) { os << q.top() << ",", q.pop(); } return os << "]\n"; } template std::ostream& operator<<(std::ostream& os, const std::queue& v) { auto q = v; os << "["; while (not q.empty()) { os << q.front() << ",", q.pop(); } return os << "]\n"; } template std::ostream& operator<<(std::ostream& os, const std::set& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } template std::ostream& operator<<(std::ostream& os, const std::stack& v) { auto q = v; os << "["; while (not q.empty()) { os << q.top() << ",", q.pop(); } return os << "]\n"; } template std::ostream& operator<<(std::ostream& os, const std::unordered_multimap& v) { os << "["; for (const auto& e : v) { os << "<" << e.first << ": " << e.second << ">,"; } return (os << "]" << std::endl); } template std::ostream& operator<<(std::ostream& os, const std::unordered_multiset& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } template std::ostream& operator<<(std::ostream& os, const std::unordered_map& v) { os << "["; for (const auto& e : v) { os << "<" << e.first << ": " << e.second << ">,"; } return (os << "]" << std::endl); } template std::ostream& operator<<(std::ostream& os, const std::unordered_set& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } template std::ostream& operator<<(std::ostream& os, const std::vector& v) { os << "["; for (const auto& e : v) { os << e << ","; } return (os << "]" << std::endl); } //!=======================================================================================!// //! a88888b. dP .88888. dP !// //! d8' '88 88 d8' '88 88 !// //! 88 .d8888b. .d8888b. d8888P 88 88d888b. .d8888b. 88d888b. 88d888b. !// //! 88 88' '88 Y8ooooo. 88 88 YP88 88' '88 88' '88 88' '88 88' '88 !// //! Y8. .88 88. .88 88 88 Y8. .88 88 88. .88 88. .88 88 88 !// //! Y88888P' '88888P' '88888P' dP '88888' dP '88888P8 88Y888P' dP dP !// //! 88 !// //! dP !// //!=======================================================================================!// template struct CostGraph { CostGraph(const std::size_t v) : V{v}, edge(v), rev_edge(v) {} void addEdge(const std::size_t from, const std::size_t to, const T cost) { edge[from].push_back(Edge{to, cost}), rev_edge[to].push_back(Edge(from, cost)); } struct Edge { Edge(const std::size_t to, const T cost) : to{to}, cost{cost} {} const std::size_t to; const T cost; bool operator<(const Edge& e) const { return cost != e.cost ? cost < e.cost : to < e.to; } }; const std::vector& operator[](const std::size_t i) const { return edge[i]; } void debugPrint() const { std::cerr << "[\n"; for (std::size_t i = 0; i < V; i++) { for (const auto& e : edge[i]) { std::cerr << i << "->" << e.to << ":" << e.cost << "\n"; } } std::cerr << "]\n"; } const std::size_t V; std::vector> edge, rev_edge; }; //!======================================================================!// //! 888888ba oo dP !// //! 88 '8b 88 !// //! 88 88 dP .d8888b. 88d8b.d8b. .d8888b. d8888P .d8888b. 88d888b. !// //! 88 88 88 88' '88 88''88''88 88ooood8 88 88ooood8 88' '88 !// //! 88 .8P 88 88. .88 88 88 88 88. ... 88 88. ... 88 !// //! 8888888P dP '88888P8 dP dP dP '88888P' dP '88888P' dP !// //!======================================================================!// template std::vector Diameter(const CostGraph& g) { const std::size_t V = g.V; std::vector dist(V, 0); std::vector p(V, V); auto dfs = [&](auto&& self, const std::size_t s, const std::size_t prev) -> void { for (const auto& e : g.edge[s]) { if (e.to == prev) { continue; } dist[e.to] = dist[s] + e.cost, p[e.to] = s; self(self, e.to, s); } }; dfs(dfs, 0, V); std::size_t r = std::max_element(dist.begin(), dist.end()) - dist.begin(); dist[r] = 0, std::fill(p.begin(), p.end(), V), dfs(dfs, r, V); r = std::max_element(dist.begin(), dist.end()) - dist.begin(); std::vector ans; for (; r != V; r = p[r]) { ans.push_back(r); } return ans; } //!============================================!// //! 8888ba.88ba oo !// //! 88 '8b '8b !// //! 88 88 88 .d8888b. dP 88d888b. !// //! 88 88 88 88' '88 88 88' '88 !// //! 88 88 88 88. .88 88 88 88 !// //! dP dP dP '88888P8 dP dP dP !// //!============================================!// int main() { int N; std::cin >> N; CostGraph G(N); for (int i = 0, u, v; i < N - 1; i++) { std::cin >> u >> v, u--, v--, G.addEdge(u, v, 1), G.addEdge(v, u, 1); } const auto d = Diameter(G); std::cout << N - d.size() << std::endl; return 0; }