#ifdef LOCAL #define _GLIBCXX_DEBUG #define __clock__ #else #pragma GCC optimize("Ofast") // #define NDEBUG #endif // #define __buffer_check__ #define __precision__ 10 #define iostream_untie true #define debug_stream std::cerr #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define all(v) std::begin(v), std::end(v) #define rall(v) std::rbegin(v), std::rend(v) #define odd(n) ((n) & 1) #define even(n) (not __odd(n)) #define __popcount(n) __builtin_popcountll(n) #define __clz32(n) __builtin_clz(n) #define __clz64(n) __builtin_clzll(n) #define __ctz32(n) __builtin_ctz(n) #define __ctz64(n) __builtin_ctzll(n) using i32 = int_least32_t; using i64 = int_least64_t; using u32 = uint_least32_t; using u64 = uint_least64_t; using pii = std::pair; using pll = std::pair; template using heap = std::priority_queue; template using rheap = std::priority_queue, std::greater>; template using hashset = std::unordered_set; template using hashmap = std::unordered_map; namespace setting { using namespace std::chrono; system_clock::time_point start_time, end_time; long long get_elapsed_time() { end_time = system_clock::now(); return duration_cast(end_time - start_time).count(); } void print_elapsed_time() { debug_stream << "\n----- Exec time : " << get_elapsed_time() << " ms -----\n"; } void buffer_check() { char bufc; if(std::cin >> bufc) debug_stream << "\n\033[1;35mwarning\033[0m: buffer not empty.\n"; } struct setupper { setupper() { if(iostream_untie) std::ios::sync_with_stdio(false), std::cin.tie(nullptr); std::cout << std::fixed << std::setprecision(__precision__); #ifdef stderr_path if(freopen(stderr_path, "a", stderr)) { std::cerr << std::fixed << std::setprecision(__precision__); } #endif #ifdef stdout_path if(not freopen(stdout_path, "w", stdout)) { freopen("CON", "w", stdout); debug_stream << "\n\033[1;35mwarning\033[0m: failed to open stdout file.\n"; } std::cout << ""; #endif #ifdef stdin_path if(not freopen(stdin_path, "r", stdin)) { freopen("CON", "r", stdin); debug_stream << "\n\033[1;35mwarning\033[0m: failed to open stdin file.\n"; } #endif #ifdef LOCAL debug_stream << "----- stderr at LOCAL -----\n\n"; atexit(print_elapsed_time); #endif #ifdef __buffer_check__ atexit(buffer_check); #endif #if defined(__clock__) || defined(LOCAL) start_time = system_clock::now(); #endif } } __setupper; // struct setupper } // namespace setting #ifdef __clock__ class { std::chrono::system_clock::time_point built_pt, last_pt; int built_ln, last_ln; std::string built_func, last_func; bool is_built = false; public: void build(int crt_ln, const std::string &crt_func) { is_built = true, last_pt = built_pt = std::chrono::system_clock::now(), last_ln = built_ln = crt_ln, last_func = built_func = crt_func; } void set(int crt_ln, const std::string &crt_func) { if(is_built) last_pt = std::chrono::system_clock::now(), last_ln = crt_ln, last_func = crt_func; else debug_stream << "[ " << crt_ln << " : " << crt_func << " ] " << "myclock_t::set failed (yet to be built!)\n"; } void get(int crt_ln, const std::string &crt_func) { if(is_built) { std::chrono::system_clock::time_point crt_pt(std::chrono::system_clock::now()); long long diff = std::chrono::duration_cast(crt_pt - last_pt).count(); debug_stream << diff << " ms elapsed from" << " [ " << last_ln << " : " << last_func << " ]"; if(last_ln == built_ln) debug_stream << " (when built)"; debug_stream << " to" << " [ " << crt_ln << " : " << crt_func << " ]" << "\n"; last_pt = built_pt, last_ln = built_ln, last_func = built_func; } else { debug_stream << "[ " << crt_ln << " : " << crt_func << " ] " << "myclock_t::get failed (yet to be built!)\n"; } } } myclock; // unnamed class #define build_clock() myclock.build(__LINE__, __func__) #define set_clock() myclock.set(__LINE__, __func__) #define get_clock() myclock.get(__LINE__, __func__) #else #define build_clock() ((void)0) #define set_clock() ((void)0) #define get_clock() ((void)0) #endif namespace std { // hash template size_t hash_combine(size_t seed, T const &key) { return seed ^ (hash()(key) + 0x9e3779b9 + (seed << 6) + (seed >> 2)); } template struct hash> { size_t operator()(pair const &pr) const { return hash_combine(hash_combine(0, pr.first), pr.second); } }; template ::value - 1> struct tuple_hash_calc { static size_t apply(size_t seed, tuple_t const &t) { return hash_combine(tuple_hash_calc::apply(seed, t), get(t)); } }; template struct tuple_hash_calc { static size_t apply(size_t seed, tuple_t const &t) { return hash_combine(seed, get<0>(t)); } }; template struct hash> { size_t operator()(tuple const &t) const { return tuple_hash_calc>::apply(0, t); } }; // iostream template istream &operator>>(istream &is, pair &p) { return is >> p.first >> p.second; } template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second; } template struct tupleos { static ostream &apply(ostream &os, const tuple_t &t) { tupleos::apply(os, t); return os << ' ' << get(t); } }; template struct tupleos { static ostream &apply(ostream &os, const tuple_t &t) { return os << get<0>(t); } }; template ostream &operator<<(ostream &os, const tuple &t) { return tupleos, tuple_size>::value - 1>::apply(os, t); } template <> ostream &operator<<(ostream &os, const tuple<> &t) { return os; } template , string>::value, nullptr_t> = nullptr> istream& operator>>(istream& is, Container &cont) { for(auto&& e : cont) is >> e; return is; } template , string>::value, nullptr_t> = nullptr> ostream& operator<<(ostream& os, const Container &cont) { bool flag = 1; for(auto&& e : cont) flag ? flag = 0 : (os << ' ', 0), os << e; return os; } } // namespace std #ifdef LOCAL #define dump(...) \ debug_stream << "[ " << __LINE__ << " : " << __FUNCTION__ << " ]\n", \ dump_func(#__VA_ARGS__, __VA_ARGS__) template void dump_func(const char *ptr, const T &x) { debug_stream << '\t'; for(char c = *ptr; c != '\0'; c = *++ptr) if(c != ' ') debug_stream << c; debug_stream << " : " << x << '\n'; } template void dump_func(const char *ptr, const T &x, rest_t... rest) { debug_stream << '\t'; for(char c = *ptr; c != ','; c = *++ptr) if(c != ' ') debug_stream << c; debug_stream << " : " << x << ",\n"; dump_func(++ptr, rest...); } #else #define dump(...) ((void)0) #endif template void read_range(P __first, P __second) { for(P i = __first; i != __second; ++i) std::cin >> *i; } template void write_range(P __first, P __second) { for(P i = __first; i != __second; std::cout << (++i == __second ? '\n' : ' ')) std::cout << *i; } // substitue y for x if x > y. template inline bool sbmin(T &x, const T &y) { return x > y ? x = y, true : false; } // substitue y for x if x < y. template inline bool sbmax(T &x, const T &y) { return x < y ? x = y, true : false; } // binary search. i64 bin(const std::function &pred, i64 ok, i64 ng) { while(std::abs(ok - ng) > 1) { i64 mid = (ok + ng) / 2; (pred(mid) ? ok : ng) = mid; } return ok; } double bin(const std::function &pred, double ok, double ng, const double eps) { while(std::abs(ok - ng) > eps) { double mid = (ok + ng) / 2; (pred(mid) ? ok : ng) = mid; } return ok; } // be careful that val is type-sensitive. template void init(A (&array)[N], const T &val) { std::fill((T *)array, (T *)(array + N), val); } // reset all bits. template void reset(A &array) { memset(array, 0, sizeof(array)); } /* The main code follows. */ // Base class template struct Flow { struct edge_t { size_t from, to; cap_t cap; cost_t cost; size_t rev; edge_t(size_t _from, size_t _to, cap_t _cap, cost_t _cost, size_t _rev) : from(_from), to(_to), cap(_cap), cost(_cost), rev(_rev) {} }; // struct edge_t protected: size_t V; std::vector> adj; public: Flow(size_t _V) : V(_V), adj(_V) {} void add_edge(size_t from, size_t to, cap_t cap, cost_t cost = cost_t(0)) { adj[from].emplace_back(from, to, cap, cost, adj[to].size()); adj[to].emplace_back(to, from, 0, -cost, adj[from].size() - 1); } }; // struct Flow template class Dinic : public Flow { using edge_t = typename Flow::edge_t; using Flow::V; using Flow::adj; std::vector level, itr; bool bfs(size_t s, size_t t) { fill(level.begin(), level.end(), ~0); std::queue que; que.emplace(s); level[s] = 0; while(!que.empty()) { size_t v = que.front(); que.pop(); for(const edge_t &e : adj[v]) { if(e.cap > cap_t(0) && not ~level[e.to]) { level[e.to] = level[v] + 1; que.emplace(e.to); } } } return ~level[t]; } cap_t dfs(size_t v, size_t t, cap_t f) { if(v == t) return f; cap_t res{0}; while(itr[v] < adj[v].size()) { edge_t &e = adj[v][itr[v]]; if(e.cap > cap_t{0} && level[v] < level[e.to]) { cap_t d = dfs(e.to, t, std::min(f, e.cap)); e.cap -= d; adj[e.to][e.rev].cap += d; res += d; if((f -= d) == cap_t{0}) break; } ++itr[v]; } return res; } public: Dinic(size_t V) : Flow::Flow(V), level(V), itr(V) {} size_t size() const { return V; } std::vector &operator[](size_t v) { return adj[v]; } cap_t max_flow(size_t s, size_t t) { cap_t res = 0, f; while(bfs(s, t)) { fill(itr.begin(), itr.end(), 0); while((f = dfs(s, t, std::numeric_limits::max())) > cap_t(0)) res += f; } return res; } class cut_t { size_t V; bool* const data; friend class Dinic; public: cut_t(size_t _V) : V(_V), data(new bool[V]()) {} ~cut_t() { delete[] data; } size_t size() const { return V; } bool &operator[](size_t v) const { return data[v]; } bool *begin() const { return data; } bool *end() const { return data + V; } friend std::ostream &operator<<(std::ostream &s, const cut_t &cut) { bool is_front = true; for(bool b : cut) { if(is_front) is_front = false; else s << ' '; s << b; } return s; } }; // class cut_t cut_t min_cut(size_t s, size_t t) { while(bfs(s, t)) { fill(itr.begin(), itr.end(), 0); while(dfs(s, t, std::numeric_limits::max()) > cap_t(0)); } cut_t res(V); for(size_t v = 0; v != V; ++v) if(~level[v]) res.data[v] = 1; return res; } }; // class Dinic using namespace std; class solver { public: solver() { int h,w; cin>>h>>w; Dinic flow(h+w+2); const int s=h+w,t=s+1; for(int i=0; i>g; flow.add_edge(i,t,g); flow.add_edge(j+h,i,g); } } i64 ans=0; for(int i=0; i>r; ans+=r; flow.add_edge(s,i,r); } for(int j=0; j>c; ans+=c; flow.add_edge(s,j+h,c); } ans-=flow.max_flow(s,t); cout << ans << "\n"; } }; main() { u32 t = 1; #ifdef LOCAL t=3; #endif // t = -1; // infinite loop // cin >> t; // case number given while(t--) solver(); }