#include "insects.h"
#include <vector>
#include <bitset>
#include <map>
#include <set>
#include <iostream>
using namespace std;
int const sz=2010;
bitset<sz>ind,ind1,alw;
int ask()
{
return press_button();
}
int min_cardinality(int N)
{
int colors=0;
for (int i=0;i<N;i++)
{
ind[i]=1;
move_inside(i);
colors++;
if (ask()>1)
{
ind[i]=0;
move_outside(i);
colors--;
}
else
alw[i]=1;
}
for (int i=0;i<N;i++)
ind1[i]=1-ind[i];
int cnt=colors;
int st=1,en=N/colors+1;
while (st+1<en)
{
int mid=(st+en)/2;
for (int i=0;i<N;i++)
{
if (cnt==colors*mid)
break;
if (ind1[i])
{
ind[i]=1;
cnt++;
move_inside(i);
if (ask()>mid)
{
move_outside(i);
cnt--;
ind[i]=0;
}
}
}
if (cnt==colors*mid)
{
st=mid;
if (st+1>=en)
break;
for (int i=0;i<N;i++)
{
if (ind[i])
ind1[i]=0;
}
}
else
{
en=mid;
if (st+1>=en)
break;
for (int i=0;i<N;i++)
{
if (alw[i]) continue;
if (ind[i])
{
cnt--;
move_outside(i);
ind[i]=0;
ind1[i]=1;
}
else
ind1[i]=0;
}
}
}
return st;
}
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