#include "insects.h"
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
//#define int long long
#define pii pair<int,int>
#define vi vector<int>
#define ff first
#define ss second
#define sp << " " <<
#define all(x) x.begin(),x.end()
#define big(x) ((int)(x.size()))
using namespace std;
const int MOD = 1e9+7, LIM = 1e6+1, inf = 2e9;
vi inside(LIM,0);
void add(int p) {
if (inside[p]) return;
inside[p] = 1;
move_inside(p);
}
void remove(int p) {
if (!inside[p]) return;
inside[p] = 0;
move_outside(p);
}
int min_cardinality(int N) {
vi machine;
vi cand;
for (int i = 0;i<N;i++) cand.push_back(i);
while (1) {
for (auto it : cand) add(it);
int x = press_button();
for (auto it : cand) remove(it);
vi duro;
for (auto it : cand) {
add(it);
int y = press_button();
if (x == y) {
remove(it);
duro.push_back(it);
continue;
}
}
for (auto it : cand) remove(it);
for (auto it : duro) add(it);
vi rem = duro;
for (auto it : cand) {
if (!inside[it]) {
add(it);
int y = press_button();
if (y != 1) rem.push_back(it);
remove(it);
}
}
vi cand2;
for (auto it : cand) {
if (count(all(rem),it)) continue;
cand2.push_back(it);
}
cand = cand2;
if (cand.empty()) return x;
}
}
