#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
int n;
int min_cardinality(int N) {
n=N;
int d=0;
vector<int> in(n,0);
for(int i=0; i<n; ++i) {
move_inside(i);
int x=press_button();
if (x>1) move_outside(i);
else { in[i]=1; ++d; }
}
//cout<<d<<'\n';
//for (int i=0; i<n; ++i) cout<<in[i]<<' '; cout<<'\n';
if (d==1) return n;
if (d==n) return 1;
if (d<=8) {
for (int i=0; i<n; ++i) {
if (in[i]) {
in[i]=0;
move_outside(i);
}
}
int ans=n;
vector<int> vis(n,0);
for (int i=0; i<d; ++i) {
vector<int> bulaneala;
int cnt=0;
for (int i=0; i<n; ++i) {
if (vis[i]) continue;
move_inside(i);
int x=press_button();
if (x==cnt) move_outside(i);
else {
bulaneala.push_back(i);
++cnt;
vis[i]=1;
}
}
ans=min(ans,cnt);
for (auto x:bulaneala) move_outside(x);
}
return ans;
}
int l=1, r=n/d;
int now=d;
while (l<r) {
//cout<<l<<' '<<r<<'\n';
int mid=(l+r+1)>>1;
int extra=0;
int cnt=now;
for (int i=0; i<n; ++i) {
if (in[i]) continue;
move_inside(i);
int x=press_button();
if (x>mid) {
extra=1;
move_outside(i);
} else ++cnt;
in[i]=1;
}
//cout<<cnt<<' '<<mid<<' '<<extra<<'\n';
if (cnt==mid*d) {
if (extra==0) {
return mid;
} else {
l=mid;
now=cnt;
}
} else {
now=0;
r=mid-1;
for (int i=0; i<n; ++i) { if (in[i]) move_outside(i); in[i]=0; }
}
}
return r;
}
