#include <bits/stdc++.h>
#include "insects.h"
using namespace std;
typedef long long ll;
#define OPT ios_base::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0)
#define pii pair<int,int>
#define pll pair<ll,ll>
#define all(v) v.begin(), v.end()
#define mpr make_pair
#define pb push_back
#define ts to_string
#define fi first
#define se second
#define inf 0x3F3F3F3F
#define infll 0x3F3F3F3F3F3F3F3FLL
#define bpc __builtin_popcount
#define print(v) for(int i = 0; i < v.size(); i++) cout << v[i] << " "; cout<<endl;
int min_cardinality(int n)
{
int l = 1;
int r = n;
int sz = 0;
vector<bool> mark(n, 0);
for (int i = 0; i < n; i++)
{
move_inside(i);
int x = press_button();
if (x > 1) move_outside(i);
else
{
sz++;
mark[i] = true;
}
}
for (int i = 0; i < n; i++)
{
if (mark[i]) move_outside(i);
mark[i] = false;
}
int best = 1;
int rn = 0;
while (l <= r)
{
int mid = (l + r) >> 1;
vector<bool> usedrn(n, 0);
int bfr = rn;
for (int i = 0; i < n; i++)
{
if (mark[i]) continue;
move_inside(i);
int x = press_button();
if (x > mid) move_outside(i);
else
{
rn++;
mark[i] = true;
usedrn[i] = true;
}
}
if (rn == mid * sz)
{
best = max(best, mid);
l = mid + 1;
}
else
{
r = mid - 1;
rn = bfr;
for (int i = 0; i < n; i++)
{
if (!usedrn[i]) continue;
move_outside(i);
mark[i] = false;
}
}
}
return best;
}
