#include <bits/stdc++.h>
using namespace std;
using ll = long long;
void dbg() { cout << "\n"; }
template<typename H, typename... T>
void dbg(H h, T... t) {
cout << h << " ";
dbg(t...);
}
#include "insects.h"
int min_cardinality(int n) {
vector<int> v;
int k = 0;
for (int i = 0; i < n; i++) {
move_inside(i);
if (press_button() > 1) {
move_outside(i);
} else {
v.push_back(i);
k++;
}
}
int l = 1, r = n/k, ans = 0;
while (l <= r) {
int mid = (l+r)/2;
int cnt = 0;
for (auto x : v) move_outside(x);
v.clear();
for (int i = 0; i < n; i++) {
move_inside(i);
if (press_button() > mid) {
move_outside(i);
} else {
v.push_back(i);
cnt++;
}
}
if (cnt == k*mid) l = mid+1, ans = mid;
else r = mid-1;
}
return ans;
}
