#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
signed min_cardinality(signed N) {
using ll = long long;
#define int ll
bool placed[2005];
int num_unique = 0;
for (int i = 0; i < N; ++i) {
move_inside(i);
int call = press_button();
if (call > 1) {
move_outside(i);
}
else {
placed[i] = true;
num_unique++;
}
}
for (int i = 0; i < N; ++i) if (placed[i]) move_outside(i);
int lo = 2; int hi = (N + num_unique - 1) / num_unique;
int ans = 1;
while (lo <= hi) {
int tgt = (lo + hi) / 2;
set<int> this_iter;
for (int j = 0; j < N; ++j) {
move_inside(j);
int call = press_button();
if (call > tgt) {
move_outside(j); continue;
}
this_iter.emplace(j);
}
if (this_iter.size() == (num_unique * tgt)) {
ans = tgt;
lo = tgt + 1;
}
else hi = tgt - 1;
for (int i : this_iter) move_outside(i);
}
return ans;
}
