#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
bool good[2001];
int Unique(int N)
{
int cnt = 0;
for (int i = 0; i < N; i++)
{
move_inside(i);
if (press_button() == 2)
{
move_outside(i);
continue;
}
good[i] = false;
cnt++;
}
return cnt;
}
int min_cardinality(int N) {
// move_inside(int i);
// void move_outside(int i);
// press_button();
for (int i = 0; i < N; i++)
{
good[i] = true;
}
int unique = Unique(N);
int l = 1, r = N / unique, mid, placed = unique;
while (l + 1 < r)
{
mid = (l + r) / 2;
int area = placed;
queue<int> bad;
queue<int> used;
for (int i = 0; i < N; i++)
{
if (good[i])
{
move_inside(i);
if (press_button() > mid)
{
bad.push(i);
move_outside(i);
}
else
{
used.push(i);
area++;
}
}
}
if (area == unique * mid)
{
while (!used.empty())
{
good[used.front()] = false;
used.pop();
}
placed = area;
l = mid;
}
else
{
while (!bad.empty())
{
good[bad.front()] = false;
bad.pop();
}
while (!used.empty())
{
move_outside(used.front());
used.pop();
}
r = mid;
}
}
return l;
}
