#pragma GCC optimize("O3")
#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
//g++ -std=c++17 insects.cpp stub.cpp
int D, N;
const int MAX = 3000;
int mark[MAX];
int cnt = 0;
bool check(int m){
vector<int> tmp;
for(int j = 0; j < N; j++){
if(mark[j]) continue;
move_inside(j);
if(press_button() > m){
move_outside(j);
}else{
cnt++;
mark[j] = 1;
tmp.push_back(j);
}
if(cnt >= m * D) return false;
}
bool flag = false;
if(cnt < m * D){
flag = true;
cnt -= tmp.size();
for(auto i : tmp) move_outside(i), mark[i] = 0;
}
return flag;
}
int min_cardinality(int n) {
N = n;
for(int j = 0; j < N; j++){
move_inside(j);
if(press_button() > 1){
move_outside(j);
}else{
cnt++;
mark[j] = 1;
}
}
D = cnt;
int l = 1, r = N / D;
while(l <= r){
int m = (l + r) / 2;
if(check(m)) r = m - 1;
else l = m + 1;
}
return r;
}
