#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) {
rep (i, N) move_inside(i);
int x = press_button();
vector<bool> flag(N, true);
int cnt = -1;
int ans = N;
rrep2 (t, 1, x + 1) {
int j = -1;
rep (i, N) {
if (flag[i]) {
move_outside(i);
if (press_button() == t - 1) {
j = i;
flag[i] = false;
break;
}
}
}
int cnt2 = 1;
rep (i, j) {
if (flag[i]) {
move_inside(i);
if (press_button() == t) {
flag[i] = false;
++cnt2;
move_outside(i);
}
}
}
if (cnt != cnt2) {
cnt = cnt2;
ans = t;
}
}
return ans;
}
