#include <bits/stdc++.h>
using namespace std;
void move_inside(int x);
void move_outside(int x);
int press_button();
int min_cardinality(int n) {
vector<int> lvl;
int comps = 0;
vector<bool> added(n, false);
for (int i = 0; i < n; i++) {
move_inside(i);
int x = press_button();
if (x == 1) {
comps++;
added[i] = true;
}
else {
move_outside(i);
lvl.push_back(i);
}
}
int fin = 1;
for (int curr = 2; curr <= n / comps; curr++) {
int tot = 0;
for (int i = 0; i < n; i++) {
if (added[i]) continue;
move_inside(i);
int x = press_button();
if (x == curr) {
added[i] = true;
tot++;
}
else {
move_outside(i);
}
}
if (tot != comps) {
break;
}
fin = curr;
}
return fin;
}
