#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define loop(x, i) for (int i = 0; i < x; i++)
#define rev(x, i) for (int i = (int)x - 1; i >= 0; i--)
#define ALL(x) begin(x), end(x)
#define sz(x) (int)x.size()
typedef pair<int, int> ii;
typedef vector<ii> vii;
typedef vector<bool> vb;
typedef vector<int> vi;
typedef vector<vi> vvi;
int min_cardinality(int N)
{
int res = 1;
vi type(N);
loop(N, i) type[i] = i;
loop(N, i)
{
if (type[i] != i)
continue;
int cnt = 1;
move_inside(i);
for (int j = i + 1; j < N; j++)
{
move_inside(j);
int res = press_button();
if (res == 2)
{
type[j] = type[i]; // =i
cnt++;
}
move_outside(j);
}
move_outside(i);
res = min(res, cnt);
if (cnt == 1)
break;
}
return res;
}
