#include #include #include #include #include #include #include #include #include #include #include #include #define rep(i,l,r) for(ll i=l;i<=r;i++) static const int WH = 0; static const int GR = 1; static const int BL = 2; using namespace std; using ll = long long; using ull = unsigned long long; static const ll ll_INF = 1e18; static const ll MOD = 998244353; void chmin(ll &a, ll b){ a = min(a,b); } struct edge { int from; int to; int amount; int init_amount; edge *complement; edge(int arg_from, int arg_to, int arg_amount) { from = arg_from; to = arg_to; amount = arg_amount; init_amount = arg_amount; } void set_value(int arg_from, int arg_to, int arg_amount, edge *arg_comp) { from = arg_from; to = arg_to; amount = arg_amount; complement = arg_comp; } }; struct maxflow { int Node_num; vector> edges; vector edge_list; maxflow(int N) { Node_num = N; edges.resize(N); } void add_edge(int from, int to, int cost) { edge *new_edge = new edge(from, to, cost); edge *new_complement_edge = new edge(to, from, 0); new_edge->complement = new_complement_edge; new_complement_edge->complement = new_edge; edges[from].push_back(new_edge); edges[to].push_back(new_complement_edge); edge_list.push_back(new_edge); } void sub_add_edge(edge *new_edge, vector> &vec){ vec[new_edge->from].push_back(new_edge); vec[new_edge->to].push_back(new_edge->complement); } void bfs(int start_node, vector &level) { queue q; q.push(start_node); level[start_node] = 0; while(q.size() > 0) { int now_v = q.front(); q.pop(); for(int i = 0; i < edges[now_v].size(); i++) { int next_v = edges[now_v][i]->to; if((level[next_v] == -1) && (edges[now_v][i]->amount > 0)) { level[next_v] = level[now_v] + 1; q.push(next_v); } } } } int dfs(int u, int end_node, int f, vector &level, vector &iter) { //cout << u << " " << end_node << " " << (u == end_node) << endl; if(u == end_node) return f; while(iter[u] < edges[u].size()){ if(level[edges[u][iter[u]]->to] == -1){ iter[u]++; continue; } if(level[edges[u][iter[u]]->to] <= level[u]){ iter[u]++; continue; } if(edges[u][iter[u]]->amount <= 0){ iter[u]++; continue; } int final_flow = dfs(edges[u][iter[u]]->to, end_node, min(edges[u][iter[u]]->amount, f), level, iter); if(final_flow > 0){ edges[u][iter[u]]->amount -= final_flow; edges[u][iter[u]]->complement->amount += final_flow; return final_flow; } else iter[u]++; } return 0; } int find_maxflow(int start_node, int end_node) { int ret_flow = 0; while(1) { vector level; level.resize(Node_num, -1); bfs(start_node, level); if(level[end_node] == -1) break; vector iter(Node_num,0); while(1) { int oneflow = dfs(start_node, end_node, 1e8, level,iter); //cout << oneflow << endl; if(oneflow <= 0) break; ret_flow += oneflow; } } return ret_flow; } }; int H,W; vector> A; vector> compH; vector> compW; void init(){ cin >> H >> W; A.resize(H); compH.resize(H); compW.resize(H); rep(i,0,H-1){ rep(j,0,W-1){ int a; cin >> a; A[i].push_back(a); compH[i].push_back(-1); compW[i].push_back(-1); } } } void find_label_H(int &label){ for(int i = 0; i < H; i++){ map mp; for(int j = 0; j < W; j++){ if(mp[A[i][j]] == 0){ label++; mp[A[i][j]] = label; } compH[i][j] = mp[A[i][j]]; } } } void find_label_W(int &label){ for(int j = 0; j < W; j++){ map mp; for(int i = 0; i < H; i++){ if(mp[A[i][j]] == 0){ label++; mp[A[i][j]] = label; } compW[i][j] = mp[A[i][j]]; } } } int main(){ init(); int label = 0; find_label_H(label); int Hlabel = label; find_label_W(label); int Wlabel = label; maxflow mf(label + 2); /* cout << endl; for(int i = 0; i < H; i++){ for(int j = 0; j < W; j++){ cout << compH[i][j] << " "; } cout << endl; } cout << endl; for(int i = 0; i < H; i++){ for(int j = 0; j < W; j++){ cout << compW[i][j] << " "; } cout << endl; } */ for(int i = 0; i < H; i++){ for(int j = 0; j < W; j++){ if(A[i][j] == 0) continue; mf.add_edge(compH[i][j], compW[i][j],1); } } for(int i = 1; i <= Hlabel; i++){ mf.add_edge(0,i,1); } for(int i = Hlabel + 1; i <= Wlabel; i++){ mf.add_edge(i,label + 1,1); } cout << mf.find_maxflow(0,label + 1) << endl; return 0; }