#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
int min_cardinality(int N)
{
int d=0;
vector<int> v;
for(int i=0;i<N;i++)
{
move_inside(i);
int x=press_button();
if(x==2) move_outside(i);
else v.push_back(i),d++;
}
for(int i=0;i<v.size();i++)
move_outside(v[i]);
vector<int> s;
for(int i=0;i<N;i++)
s.push_back(i);
int b=0;
int ans=1,l=2,r=N/d;
while(l<=r)
{
int m=(l+r)/2;
//cout<<l<<" "<<r<<" "<<m<<endl;
vector<int> s1,s2;
int f=0;
int cnt=0,lim=s.size()-d*(m-ans);
for(int i=0;i<s.size()&&!f;i++)
{
//cout<<s[i]<<" ";
move_inside(s[i]);
int x=press_button();
if(x==m+1-ans)
{
s1.push_back(s[i]);
move_outside(s[i]);
cnt++;
}
else
{
s2.push_back(s[i]);
}
if(cnt>lim)
{
r=m-1;
s=s2;
for(int j=0;j<s2.size();j++)
move_outside(s2[j]);
f=1;
break;
}
}
if(f==1)continue;
//cout<<endl;
for(int i=0;i<s2.size();i++)
move_outside(s2[i]);
//cout<<"= "<<s2.size()<<" "<<d<<" "<<m-ans<<endl;
if(s2.size()==d*(m-ans))
{
ans=m;
s=s1;
l=m+1;
}
else r=m-1,s=s2;
}
return ans;
}
