// In the name of Allah
#include <bits/stdc++.h>
#include "insects.h"
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define endl '\n'
#define sep ' '
#define F first
#define S second
#define Mp make_pair
#define pb push_back
#define all(x) (x).begin(),(x).end()
#define len(x) ((ll) (x).size())
const int maxn = 2000 + 4;
int n, k;
set<int> st; int res;
vector<int> ls;
void addx(int j) {
st.insert(j); move_inside(j);
}
void delx(int j) {
st.erase(j); move_outside(j);
}
int askx() {
return press_button();
}
void del_all() {
while (!st.empty()) {
int j = *st.begin();
delx(j);
}
}
bool ok1(ll x) {
del_all();
for (int i = 0; i < n; i++) {
addx(i);
if (askx() > x) delx(i);
}
return (len(st) == k * x);
}
int solve1(int R) {
int l = 1, r = R + 1;
while (r - l > 1) {
int mid = (l + r) / 2;
if (ok1(mid)) l = mid;
else r = mid;
}
return l;
}
int solve2(int R) {
return 0;
}
int min_cardinality(int N) {
n = N;
for (int i = 0; i < n; i++) {
addx(i);
if (askx() >= 2) delx(i);
}
for (int j : st) ls.pb(j);
k = len(ls);
del_all();
if (1) return solve1(n / k);
else return solve2(k);
}
