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