#include <bits/stdc++.h>
#include "insects.h"
using namespace std;
using ll = long long;
int n;
int sz = 0;
bool mark[2020];
void putin(int x) {
move_inside(x);
sz++;
}
void putout(int x) {
move_outside(x);
sz--;
}
int val() {
return press_button();
}
int min_cardinality(int N) {
n = N;
vector<int> a(n);
for (int i = 0;i < n;i++) a[i] = i;
random_shuffle(a.begin(), a.end());
putin(a[0]);
mark[a[0]] = 1;
for (int i = 1;i < n;i++) {
putin(a[i]);
if (val() == 2) {
putout(a[i]);
}
else {
mark[a[i]] = 1;
}
}
int type = sz;
if (type == n) return 1;
int l = 1, r = n / sz;
while (l < r) {
int mid = (l + r + 1) / 2;
stack<int> st, st2;
for (int i = 0;i < n;i++) {
if (sz == type * mid) break;
if (mark[a[i]]) continue;
putin(a[i]);
if (val() > mid) {
putout(a[i]);
mark[a[i]] = 1;
st2.push(a[i]);
}
else {
st.push(a[i]);
}
}
if (sz == type * mid) {
while (!st.empty()) {
mark[st.top()] ^= 1;
st.pop();
}
while (!st2.empty()) {
mark[st2.top()] ^= 1;
st2.pop();
}
l = mid;
}
else {
if (l == mid - 1) return l;
while (!st.empty()) {
putout(st.top());
st.pop();
}
r = mid - 1;
}
}
return l;
}
