#include "insects.h"
#include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (int)(n); ++i)
#define rep2(i, a, b) for (int i = (int)(a); i < (int)(b); ++i)
#define rrep(i, n) for (int i = (int)(n) - 1; i >= 0; --i)
#define rrep2(i, a, b) for (int i = (int)(b) - 1; i >= (int)(a); --i)
#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
using namespace std;
using ll = long long;
template<class T, class U> bool chmin(T& a, const U& b) { return a > b ? a = b, true : false; }
template<class T, class U> bool chmax(T& a, const U& b) { return a < b ? a = b, true : false; }
int min_cardinality(int N) {
int nk = 0;
{
vector<bool> used(N);
rep (i, N) {
move_inside(i);
if (press_button() == 2) move_outside(i);
else ++nk, used[i] = true;
}
rep (i, N) {
if (used[i]) move_outside(i);
}
}
int ok = 1, ng = N / nk + 1;
while (ng - ok > 1) {
int mid = (ok + ng) / 2;
vector<bool> used(N);
int cnt = 0;
rep (i, N) {
move_inside(i);
if (press_button() > mid) move_outside(i);
else cnt++, used[i] = true;
}
rep (i, N) {
if (used[i]) move_outside(i);
}
if (cnt == nk * mid) ok = mid;
else ng = mid;
}
return ok;
}
