#include #pragma GCC diagnostic ignored "-Wsign-compare" #pragma GCC diagnostic ignored "-Wsign-conversion" #define NDEBUG using i32 = int32_t; using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; using uint = unsigned int; using usize = std::size_t; using ll = long long; using ull = unsigned long long; using ld = long double; template constexpr T popcount(const T u) { return u ? static_cast(__builtin_popcountll(static_cast(u))) : static_cast(0); } template constexpr T log2p1(const T u) { return u ? static_cast(64 - __builtin_clzll(static_cast(u))) : static_cast(0); } template constexpr T msbp1(const T u) { return log2p1(u); } template constexpr T lsbp1(const T u) { return __builtin_ffsll(u); } template constexpr T clog(const T u) { return u ? log2p1(u - 1) : static_cast(u); } template constexpr bool ispow2(const T u) { return u and (static_cast(u) & static_cast(u - 1)) == 0; } template constexpr T ceil2(const T u) { return static_cast(1) << clog(u); } template constexpr T floor2(const T u) { return u == 0 ? static_cast(0) : static_cast(1) << (log2p1(u) - 1); } template constexpr bool btest(const T mask, const usize ind) { return ((static_cast(mask) >> ind) & static_cast(1)); } template constexpr T bcut(const T mask, const usize ind) { return ind == 0 ? static_cast(0) : static_cast((static_cast(mask) << (64 - ind)) >> (64 - ind)); } template bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); } template bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); } constexpr unsigned int mod = 1000000007; template constexpr T inf_v = std::numeric_limits::max() / 4; template constexpr Real pi_v = Real{3.141592653589793238462643383279502884}; template T read() { T v; return std::cin >> v, v; } template std::vector read_vec(const std::size_t size) { std::vector v(size); for (auto& e : v) { std::cin >> e; } return v; } template auto read_vals() { return std::tuple...>{read()...}; } #define SHOW(...) static_cast(0) template std::vector make_v(const std::size_t size, T v) { return std::vector(size, v); } template auto make_v(const std::size_t size, Args... args) { return std::vector(size, make_v(args...)); } template class base_graph { public: using cost_type = Cost; base_graph(const usize sz) : sz{sz}, edges(sz), rev_edges(sz) {} void add_edge(const usize from, const usize to, const Cost cost, const bool bi = false) { assert(from < sz), assert(to < sz); edges[from].push_back(edge{from, to, cost}), rev_edges[to].push_back(edge(to, from, cost)); if (bi) { add_edge(to, from, cost, false); } } struct edge { edge(const usize from, const usize to, const Cost cost) : from{from}, to{to}, cost{cost} {} usize from, to; Cost cost; bool operator<(const edge& e) const { return cost != e.cost ? cost < e.cost : to < e.to; } }; std::vector& operator[](const usize i) { return assert(i < sz), edges[i]; } const std::vector& operator[](const usize i) const { return assert(i < sz), edges[i]; } const std::vector>& rev_edge() const { return rev_edges; } std::vector>& rev_edge() { return rev_edges; } friend std::ostream& operator<<(std::ostream& os, const base_graph& g) { os << "[\n"; for (usize i = 0; i < g.sz; i++) { for (const auto& e : g.edges[i]) { os << i << "->" << e.to << ":" << e.cost << "\n"; } } return (os << "]\n"); } static usize to(const edge& e) { return e.to; } usize size() const { return sz; } private: const usize sz; std::vector> edges, rev_edges; }; template<> class base_graph { public: base_graph(const usize sz) : sz{sz}, edges(sz), rev_edges(sz) {} void add_edge(const usize from, const usize to, const bool bi = false) { assert(from < sz), assert(to < sz); edges[from].push_back(to), rev_edges[to].push_back(from); if (bi) { add_edge(to, from, false); } } std::vector& operator[](const usize i) { return assert(i < sz), edges[i]; } const std::vector& operator[](const usize i) const { return assert(i < sz), edges[i]; } const std::vector>& rev_edge() const { return rev_edges; } std::vector>& rev_edge() { return rev_edges; } friend std::ostream& operator<<(std::ostream& os, const base_graph& g) { os << "[\n"; for (usize i = 0; i < g.sz; i++) { for (const usize to : g.edges[i]) { os << i << "->" << to << "\n"; } } return (os << "]\n"); } static usize to(const usize e) { return e; } usize size() const { return sz; } private: const usize sz; std::vector> edges, rev_edges; }; using graph = base_graph; using tree = graph; template using cost_graph = base_graph; template using cost_tree = cost_graph; int main() { const auto n = read(); graph b(n), r(n); std::vector dim(n, 0); for (usize i = 0; i < n - 1; i++) { const auto u = read() - 1, v = read() - 1; b.add_edge(u, v, true), (dim[u] += 1) %= 2, (dim[v] += 1) %= 2; } for (usize i = 0; i < n - 1; i++) { const auto u = read() - 1, v = read() - 1; r.add_edge(u, v, true); } auto dp = make_v(n, 3, 2, inf_v); for (usize i = 0; i < n; i++) { dp[i][0][dim[i]] = 0; } auto dfs = [&](auto&& self, const usize s, const usize p) -> void { for (const usize to : r[s]) { if (to == p) { continue; } self(self, to, s); auto tmp = make_v(3, 2, inf_v); for (usize p = 0; p < 2; p++) { // sのparity for (usize cp = 0; cp < 2; cp++) { // 子のparity for (usize e = 0; e < 2; e++) { // 赤辺を加えるか const bool ncp = cp ^ e, np = p ^ e; for (usize n = 0; n < 3; n++) { // sのoddの数 for (usize cn = 0; cn < 3; cn++) { // 子のoddの数 const usize nn = n + cn + ncp; if (nn >= 3) { continue; } chmin(tmp[nn][np], dp[s][n][p] + dp[to][cn][cp] + e); } } } } } dp[s] = tmp; } }; dfs(dfs, 0, n); std::cout << n - 1 + std::min(dp[0][2][0], dp[0][1][1]) << std::endl; return 0; }