#include "insects.h"
#include <bits/stdc++.h>
#define sz(a) (int)a.size()
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
using namespace std;
set<int> in;
set<int> out;
int tps=0;
int n;
vector<int> re;
int press() { return press_button(); }
int countType(vector<int> *to_in){
for (auto u : *to_in)
{
in.insert(u);
move_inside(u);
int ans=press();
if(ans>1) {
move_outside(u);
out.insert(u);
in.erase(u);
}
}
return sz(in);
}
int min_cardinality(int N) {
n=N;
vector<int> al(N);
for (int i = 0; i < N; i++) al[i]=i;
re=al;
random_device rd;
mt19937 g(rd());
tps=countType(&al);
int l=1,r=n/tps;
int ans=1;
while(l<=r){
int mid=(l+r)/2;
queue<int> to_add;
for (auto u : out)
{
move_inside(u);
in.insert(u);
if(press()>mid) { in.erase(u); move_outside(u); }
else to_add.push(u);
}
while(!to_add.empty())
{
int u=to_add.front(); to_add.pop();
out.erase(u);
}
if(sz(in)==tps*mid) {
l=mid+1;
ans=mid;
}else{
r=mid-1;
for (auto u : in) {
move_outside(u);
out.insert(u);
}
in.clear();
}
}
return ans;
}
