#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
int m, op=0, c=0, pk=0; vector<bool> fg;
bool f1(int n)
{
vector<int> ind; int i=pk, lk=0;
while(lk<n&&c<op*m)
{
if(!fg[i]){ move_inside(i); if(press_button()<=m){fg[i]=true; c++; ind.push_back(i);} else move_outside(i);}
i++; if(i==n) i=0; lk++;
}
pk=i; if(c==op*m) return true;
for(auto x:ind){move_outside(x); fg[x]=false; c--;} return false;
}
int min_cardinality(int n) {
op=0; c=0; pk=0; fg.assign(n, false); for(int i=0; i<n; i++){move_inside(i); if(press_button()>1) move_outside(i); else {fg[i]=true; c++; op++;}}
if(op<=1) return n; if(op==n) return 1;
int l=1, r=n/op, st=1; while(l+st<=r){st<<=1;} st>>=1;
while(st>0)
{
m=(l+r+1)/2;if(f1(n)){l=m;}
} st>>=1;
return l;
}
