#include "insects.h"
#include<bits/stdc++.h>
#define pb push_back
#define x first
#define y second
#define all(a) (a).begin(), (a).end()
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
int n, D;
int check(int x) {
vector<int> in;
for(int i = 0;i < n;i++) {
move_inside(i);
if(press_button() > x)
move_outside(i);
else in.pb(i);
}
for(int i : in) move_outside(i);
return ((int)in.size() == x * D);
}
int min_cardinality(int N) {
n = N, D = 0;
vector<int> v;
for(int i = 0;i < n;i++) {
move_inside(i);
if(press_button() > 1)
move_outside(i);
else v.pb(i), D++;
}
for(int i : v) move_outside(i);
int lo = 2, hi = n, ans = 1;
while(lo <= hi) {
int mid = (lo + hi) / 2;
if(check(mid))
ans = mid, lo = mid + 1;
else hi = mid - 1;
}
return ans;
}
