#define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_7_A" #include <iostream> #include "Mylib/Graph/Matching/hopcroft_karp.cpp" #include "Mylib/IO/input_tuples.cpp" namespace hl = haar_lib; int main() { int X, Y, E; std::cin >> X >> Y >> E; hl::hopcroft_karp b(X, Y); for (auto [x, y] : hl::input_tuples<int, int>(E)) { b.add_edge(x, y); } int ans = b.match(); std::cout << ans << std::endl; return 0; }
#line 1 "test/aoj/GRL_7_A/main.hopcroft_karp.test.cpp" #define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_7_A" #include <iostream> #line 2 "Mylib/Graph/Matching/hopcroft_karp.cpp" #include <cassert> #include <queue> #include <utility> #include <vector> namespace haar_lib { class hopcroft_karp { struct edge { int from, to; int rev; bool used; }; int L_, R_, N_; std::vector<std::vector<edge>> g_; std::vector<int> dist_; bool bfs() { dist_.assign(N_, -1); std::queue<int> q; q.push(0); dist_[0] = 0; while (not q.empty()) { int i = q.front(); q.pop(); for (auto &e : g_[i]) { if (not e.used and dist_[e.to] == -1) { dist_[e.to] = dist_[i] + 1; q.push(e.to); } } } return dist_[N_ - 1] != -1; } bool dfs(int cur) { if (cur == N_ - 1) return true; for (auto &e : g_[cur]) { if (not e.used and dist_[cur] + 1 == dist_[e.to]) { if (dfs(e.to)) { e.used = true; if (e.rev >= 0) g_[e.to][e.rev].used = false; return true; } } } return false; } public: hopcroft_karp() {} hopcroft_karp(int L, int R) : L_(L), R_(R), N_(L + R + 2), g_(N_), dist_(N_) { for (int i = 0; i < L_; ++i) { g_[0].push_back((edge){0, i + 1, -1, false}); } for (int i = 0; i < R_; ++i) { g_[i + L_ + 1].push_back((edge){i + L_ + 1, N_ - 1, -1, false}); } } void add_edge(int i, int j) { assert(0 <= i and i < L_); assert(0 <= j and j < R_); const int x = i + 1; const int y = j + L_ + 1; g_[x].push_back((edge){x, y, (int) g_[y].size(), false}); g_[y].push_back((edge){y, x, (int) g_[x].size() - 1, true}); } int match() { int ret = 0; while (bfs()) { int flow = 0; for (int i = 0; i < L_; ++i) { auto &e = g_[0][i]; if (not e.used and dfs(e.to)) { e.used = true; ++flow; } } if (flow == 0) break; ret += flow; } return ret; } auto get_matching() { std::vector<std::pair<int, int>> ret; for (int i = 0; i < L_; ++i) { for (auto &e : g_[i + 1]) { if (e.used) ret.emplace_back(i, e.to - L_ - 1); } } return ret; } }; } // namespace haar_lib #line 2 "Mylib/IO/input_tuples.cpp" #include <initializer_list> #line 4 "Mylib/IO/input_tuples.cpp" #include <tuple> #line 6 "Mylib/IO/input_tuple.cpp" namespace haar_lib { template <typename T, size_t... I> static void input_tuple_helper(std::istream &s, T &val, std::index_sequence<I...>) { (void) std::initializer_list<int>{(void(s >> std::get<I>(val)), 0)...}; } template <typename T, typename U> std::istream &operator>>(std::istream &s, std::pair<T, U> &value) { s >> value.first >> value.second; return s; } template <typename... Args> std::istream &operator>>(std::istream &s, std::tuple<Args...> &value) { input_tuple_helper(s, value, std::make_index_sequence<sizeof...(Args)>()); return s; } } // namespace haar_lib #line 8 "Mylib/IO/input_tuples.cpp" namespace haar_lib { template <typename... Args> class InputTuples { struct iter { using value_type = std::tuple<Args...>; value_type value; bool fetched = false; int N, c = 0; value_type operator*() { if (not fetched) { std::cin >> value; } return value; } void operator++() { ++c; fetched = false; } bool operator!=(iter &) const { return c < N; } iter(int N) : N(N) {} }; int N; public: InputTuples(int N) : N(N) {} iter begin() const { return iter(N); } iter end() const { return iter(N); } }; template <typename... Args> auto input_tuples(int N) { return InputTuples<Args...>(N); } } // namespace haar_lib #line 6 "test/aoj/GRL_7_A/main.hopcroft_karp.test.cpp" namespace hl = haar_lib; int main() { int X, Y, E; std::cin >> X >> Y >> E; hl::hopcroft_karp b(X, Y); for (auto [x, y] : hl::input_tuples<int, int>(E)) { b.add_edge(x, y); } int ans = b.match(); std::cout << ans << std::endl; return 0; }