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