#include "insects.h"
#include<bits/stdc++.h>
using namespace std;
#define in insert
#define all(x) x.begin(),x.end()
#define pb push_back
#define eb emplace_back
#define ff first
#define ss second
//#define int long long
typedef long long ll;
typedef vector<int> vi;
typedef set<int> si;
typedef multiset<int> msi;
typedef pair<int, int> pii;
typedef vector<pii> vpii;
set<int> all;
void add(int i) {
if(all.count(i)) return;
move_inside(i);
all.in(i);
}
void rem(int i) {
if(!all.count(i)) return;
move_outside(i);
all.erase(i);
}
int solve(vector<int> a, vector<int> b) {
if(a.size() == 1) {
rem(a[0]);
return (int)a.size() + (int)b.size();
}
if(b.size() < a.size()) {
for(int x : a) {
rem(x);
}
return 1;
}
vector<int> a1, a2, b1, b2;
int sz = a.size();
for(int i = 0; i < sz / 2; i++) {
a1.pb(a[i]);
add(a[i]);
}
for(int i = sz / 2; i < sz; i++) {
a2.pb(a[i]);
rem(a[i]);
}
for(int x : b) {
add(x);
if(press_button() > 1) b1.pb(x);
else b2.pb(x);
rem(x);
}
return min(solve(a1, b1), solve(a2, b2));
}
int min_cardinality(int n) {
vector<int> a, b;
for(int i = 0; i < n; i++) {
a.pb(i);
add(i);
if(press_button() > 1) {
a.pop_back();
b.pb(i);
rem(i);
}
}
return solve(a, b);
}
