#include #include #include using namespace std; template struct Edge { int to; T cap; int rev; int id; }; template struct Flow { int n; int source; int sink; T current_flow; std::vector d; std::vector nx; std::vector>> g; std::vector> epos; Flow(){} Flow(int n, int source, int sink) : n(n), source(source), sink(sink), current_flow(0){ d.resize(n); nx.resize(n); g.resize(n); } void add_edge(int from, int to, T cap){ epos.push_back(std::pair(from, (int)g[from].size())); g[from].push_back((Edge){to, cap, (int)g[to].size(), (int)epos.size() - 1}); g[to].push_back((Edge){from, 0, (int)g[from].size() - 1, -1}); } T delete_edge(int id){ Edge &e = g[epos[id].first][epos[id].second]; Edge &re = g[e.to][e.rev]; int u = re.to, v = e.to; T delete_f = re.cap; e.cap = 0; re.cap = 0; T reverse_f = delete_f - add_flow(u, v, delete_f); add_flow(u, source, reverse_f); add_flow(sink, v, reverse_f); current_flow -= reverse_f; return current_flow; } void bfs(int s){ fill(d.begin(), d.end(), -1); std::queue que; d[s] = 0; que.push(s); while(que.size()){ int u = que.front(); que.pop(); for(Edge &e : g[u]){ int v = e.to; Edge &re = g[v][e.rev]; if(re.cap > 0 && d[v] == -1){ d[v] = d[u] + 1; que.push(v); } } } } T dfs(int u, int s, T f){ if(u == s) return f; for(int &i = nx[u]; i < (int)g[u].size(); i++){ Edge &e = g[u][i]; int v = e.to; if(d[v] >= d[u] || e.cap == 0) continue; if(f == -1) f = e.cap; else f = std::min(f, e.cap); T fl = dfs(v, s, f); if(fl > 0){ e.cap -= fl; g[e.to][e.rev].cap += fl; return fl; } } return 0; } T add_flow(int r, int s, T max_f){ T res = 0; while(true){ if(max_f == 0) return res; bfs(s); if(d[r] == -1) return res; for(int i = 0; i < n; i++) nx[i] = 0; for(T f; (f = dfs(r, s, max_f)) > 0;){ res += f; if(max_f != -1) max_f -= f; } } } T max_flow(T max_f = -1){ if(max_f != -1){ max_f -= current_flow; if(max_f < 0){ current_flow -= add_flow(sink, source, -max_f); return current_flow; } } current_flow += add_flow(source, sink, max_f); return current_flow; } int get_flow(int id){ Edge &e = g[epos[id].first][epos[id].second]; Edge &re = g[e.to][e.rev]; return re.cap; } }; struct BipartiteMatching { int p; int q; Flow g; BipartiteMatching(){} BipartiteMatching(int p, int q) : p(p), q(q){ g.n = p + q + 2; g.source = p + q; g.sink = p + q + 1; g.current_flow = 0; g.d.resize(g.n); g.nx.resize(g.n); g.g.resize(g.n); for(int i = 0; i < p; i++) g.add_edge(p + q, i, 1); for(int i = p; i < p + q; i++) g.add_edge(i, p + q + 1, 1); } void add_edge(int u, int v){ g.add_edge(u, v + p, 1); } int delete_edge(int id){ return g.delete_edge(id + p + q); } int max_matching(){ return g.max_flow(); } bool is_used(int id){ return g.get_flow(id + p + q); } }; vector x[500005], y[500005]; int main() { int h, w; cin >> h >> w; int a[502][502]; for(int i = 0; i < h; i++){ for(int j = 0; j < w; j++){ cin >> a[i][j]; x[a[i][j]].push_back(i); y[a[i][j]].push_back(j); } } int ans = 0; for(int k = 500000; k > 0; k--){ int m = x[k].size(); if(m <= 1){ ans += m; continue; } map mpx, mpy; int nx = 0, ny = 0; for(int i = 0; i < m; i++){ if(!mpx.count(x[k][i])) mpx[x[k][i]] = nx++; if(!mpy.count(y[k][i])) mpy[y[k][i]] = ny++; } BipartiteMatching g(nx, ny); for(int i = 0; i < m; i++) g.add_edge(mpx[x[k][i]], mpy[y[k][i]]); ans += g.max_matching(); } cout << ans << endl; }