#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
int min_cardinality(int N) {
   int m = N; 
  vector<int> pf; pf.reserve(N);
  vector<bool> ty(N, false);
  
  for (int i = 0; i < N; i++) {
    if (ty[i]) continue;
    
    for (auto x : pf) move_outside(x);
    pf.clear();
    move_inside(i);
    pf.push_back(i);
    ty[i] = true;
    
    int current_types = press_button(); 
    
    for (int j = i + 1; j < N; j++) {
      if (ty[j]) continue;
      
      move_inside(j);
      int new_count = press_button();
      
      if (new_count == current_types) {
        pf.push_back(j);
        ty[j] = true;
      } else {
        move_outside(j);
      }
    }
    int cardinality = pf.size();
    m = min(m, cardinality);
    if (m == 1) break;
  }
  
  return m;
  return m;
}
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