#include "insects.h"
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
//#define int long long
#define pii pair<int,int>
#define vi vector<int>
#define ff first
#define ss second
#define sp << " " <<
#define all(x) x.begin(),x.end()
#define big(x) ((int)(x.size()))
using namespace std;
const int MOD = 1e9+7, LIM = 1e6+1, inf = 2e9;
vi inside(LIM,0);
void add(int p) {
  if (inside[p]) return;
  inside[p] = 1;
  move_inside(p);
}
void remove(int p) {
  if (!inside[p]) return;
  inside[p] = 0;
  move_outside(p);
}
int min_cardinality(int N) {
  vi machine;
  vi cand;
  for (int i = 0;i<N;i++) cand.push_back(i);
  while (1) {
    for (auto it : cand) remove(it);
    int bocuk = 0;
    for (auto it : cand) {
      add(it);
      int y = press_button();
      if (y == 1) bocuk++;
      else remove(it);
    }
    if (bocuk == 1) return cand.size();
    int t = big(cand)/bocuk;
    for (auto it : cand) remove(it);
    vi dumb;
    for (auto it : cand) {
      add(it);
      int y = press_button();
      if (y > t) {
        dumb.push_back(it);
        remove(it);
      }
    }
    for (auto it : cand) remove(it);
    for (auto it : dumb) add(it);
    vi nxt;
    for (auto it : cand) {
      add(it);
      int y = press_button();
      if (y == 1) nxt.push_back(it);
      remove(it);
    }
    if ( big(nxt) == big(cand)) return t;
    cand = nxt;
  }
}
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