#include "insects.h"
#include<bits/stdc++.h>
using namespace std;
int min_cardinality(int N) {
vector<int> temp;
int d = 0;
for (int i = 0; i < N; i++){
move_inside(i);
int count = press_button();
if (count > 1){
move_outside(i);
}
else{
temp.push_back(i);
d++;
}
}
for (int i = 0; i < temp.size(); i++){
move_outside(temp[i]);
}
int ans = N;
int oriN = N;
vector<int> newUse(N);
for (int i = 0; i < N; i++){
newUse[i] = i;
}
while(1){
int B = N / d;
vector<int> all;
for (int i = 0; i < newUse.size(); i++){
move_inside(i);
int count = press_button();
if (count > B){
move_outside(i);
}
else{
all.push_back(i);
if (all.size() == B * d) break;
}
}
if (all.size() == B * d){
return B;
}
N = all.size();
for (int i = 0; i < all.size(); i++){
move_outside(all[i]);
}
newUse = all;
}
return 1;
}
