#include <bits/stdc++.h>
#include "insects.h"
using namespace std;
int sum=0,n,k;
void vnesi(int i)
{
move_inside(i);
sum++;
}
void izvadi(int i)
{
move_outside(i);
sum--;
}
bool vidi(vector<int>&v,int m)
{
vector<int>v1,v2;
for(int i=0;i<v.size();i++)
{
vnesi(v[i]);
if(press_button()>m)
{
izvadi(v[i]);
v2.push_back(v[i]);
}
else
{
v1.push_back(v[i]);
}
}
if(k*m==sum)
{
v=v2;
return true;
}
else
{
for(int i=0;i<v1.size();i++)izvadi(v1[i]);
v=v1;
return false;
}
}
int min_cardinality(int N)
{
n=N;
vector<int>v;
for(int i=0;i<n;i++)
{
vnesi(i);
if(press_button()>1)
{
izvadi(i);v.push_back(i);
}
}
k=sum;
int l=1,r=n/sum;
while(l+1<r)
{
int m=(l+r)/2;
if(vidi(v,m))
{
l=m;
}
else
{
r=m-1;
}
}
if(l+1==r)
{
if(vidi(v,r))l=r;
}
return l;
}
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