#pragma GCC optimize("Ofast")
#pragma GCC optimize("O3,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define f0r(i, n) for (auto i = 0; i < (n); ++i)
#define fnr(i, n, k) for (auto i = (n); i < (k); ++i)
#define all(v) (v).begin(), (v).end()
#define pb push_back
#define F first
#define S second
#define ctn(x) cout << x << '\n'
#define forl(a, l) for (auto a : l)
#define ctl(l) for (auto &a : (l)) cout << a << ' '; cout << endl;
#define lb(v, x) (lower_bound(all(v), x) - begin(v))
#define ub(v, x) (upper_bound(all(v), x) - begin(v))
#define pq priority_queue
template <class T>
using V = vector<T>;
using ll = long long;
using vi = V<int>;
using vl = V<ll>;
using pi = pair<int, int>;
using ti = tuple<int, int, int>;
using Adj = V<vi>;
using vvi = V<vi>;
#include "insects.h"
int cnt = 0;
vi act, acc, rej;
int exe(int k, int N) {
rej = acc = {};
forl(x, act) {
move_inside(x);
if (press_button() > k) {
move_outside(x);
rej.pb(x);
} else {
cnt += 1;
acc.pb(x);
}
}
return cnt;
}
int min_cardinality(int N) {
cnt = 0;
act = acc = rej = {};
f0r(i, N) act.pb(i);
int D = exe(1, N);
act = rej;
//ctl(rej);
//return 0;
int lo = 2, hi = N, ans = 1;
while (lo <= hi) {
int m = (lo + hi)/2;
//cout << m << endl;
int C = exe(m, N);
//cout << C << endl;
if (C == D*m) {
lo = m+1;
ans = m;
act = rej;
} else {
hi = m-1;
if (hi < lo) break;
forl(x, acc) {
move_outside(x);
--cnt;
}
act = acc;
}
}
//cout << "ANS: " << ans << endl;
return ans;
}
