#include <bits/stdc++.h>
using namespace std;
mt19937 ayahya(chrono::high_resolution_clock().now().time_since_epoch().count());
#include "insects.h"
int min_cardinality(int n) {
set<int> olan;
for (int i = 0; i < n; ++i)
{
olan.insert(i);
}
vector<int> aldim;
vector<int> almadim;
function<int(int)> calc;
calc = [&](int x)->int{
aldim.clear();
almadim.clear();
int ans = 0;
for (auto it : olan){
move_inside(it);
if (press_button()>x){
move_outside(it);
almadim.push_back(it);
}
else {
aldim.push_back(it);
ans++;
}
}
for (auto &it : aldim){
move_outside(it);
}
return ans;
};
int diff = calc(1);
int l = 2, r = (n/diff)+1;
int hueh = 0;
while (l<r){
int mid = l+(r-l)/2;
int crr = calc(mid-hueh);
if (crr==(mid-hueh)*diff){
l=mid+1;
hueh=mid;
while (aldim.size()){
olan.erase(aldim.back());
aldim.pop_back();
}
}
else {
r=mid;
while (almadim.size()){
olan.erase(almadim.back());
almadim.pop_back();
}
}
}
return l-1;
}
