#include <bits/stdc++.h>
#include "insects.h"
using namespace std;
#define fi first
#define se second
typedef long long ll;
typedef long double ld;
mt19937 rnd(chrono::high_resolution_clock::now().time_since_epoch().count());
int inf = 1e9;
int min_cardinality(int n) {
vector<int> par(n, -1);
int mini = inf;
bool ok = 1;
while (ok) {
ok = 0;
int st = -1;
for (int i = 0; i < n; i++) {
if (par[i] == -1) {
ok = 1;
st = i;
break;
}
}
if (!ok)
break;
par[st] = st;
move_inside(st);
int cur = 1;
for (int i = st + 1; i < n; i++) {
if (cur >= mini) {
break;
}
if (par[i] == -1) {
move_inside(i);
int x = press_button();
if (x == cur) {
move_outside(i);
} else {
cur = x;
par[i] = st;
}
}
}
mini = min(mini, cur);
for (int i = 0; i < n; i++) {
if (par[i] == st) {
move_outside(i);
}
}
}
return mini;
}
