#include <bits/stdc++.h>
#include "insects.h"
using namespace std;
#define endl '\n'
#define st first
#define nd second
#define pb push_back
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
#define ll long long
ll mod=1000000007;
int inf=1000000007;
ll infl=1000000000000000007;
int ans=1,m;
void rek(vector<int>a)
{
if(sz(a)<m) return ;
int k=(sz(a)/m+1)/2;
vector<int>T,N;
bool is=0;
for(auto x:a)
{
move_inside(x);
int c=press_button();
if(c>=k) is=1;
if(c>k)
{
move_outside(x);
N.pb(x);
}
else T.pb(x);
}
for(auto x:T) move_outside(x);
if(is)
{
ans+=k;
rek(N);
}
else rek(T);
}
int min_cardinality(int n)
{
vector<int>V;
for(int i=0;i<n;i++)
{
move_inside(i);
if(press_button()>1)
{
move_outside(i);
V.pb(i);
}
else m++;
}
rek(V);
return ans;
}
