#include <bits/stdc++.h>
#include "insects.h"
using namespace std;
#define pb push_back
#define mp make_pair
set<int> s;
void add(int i){
move_inside(i);
s.insert(i);
}
void rem(int i){
move_outside(i);
s.erase(i);
}
int min_cardinality(int n){
for (int i=0;i<n;i++){
add(i);
if (press_button()>1){
rem(i);
}
}
int mini=1,maxi=n+1,sz=s.size();
while (mini+1<maxi){
int mid=(mini+maxi)/2;
set<int> added;
for (int i=0;i<n;i++){
if (s.find(i)!=s.end()) continue;
add(i);
if (press_button()>mid) rem(i);
else added.insert(i);
}
if ((int)s.size()==sz*mid){
mini=mid;
}
else {
maxi=mid;
for (auto i:added) rem(i);
}
}
return mini;
}
