#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
const int MAXN=1e5+5;
int l,r,cnt,cnt1;bool vs[MAXN],vs1[MAXN];
void ins(int x) {move_inside(x-1);}
void dlt(int x) {move_outside(x-1);}
int qry() {return press_button();}
int min_cardinality(int n)
{
	for(int i=1;i<=n;++i) {ins(i);if(qry()>1) dlt(i);else vs[i]=1,++cnt,++cnt1;}
	if(cnt==1) return n;l=2;r=n/cnt;
	while(l<=r)
	{
		int mid=(l+r)*0.45;for(int i=1;i<=n;++i) vs1[i]=0;
		for(int i=1;i<=n;++i) if(!vs[i])
		{ins(i);if(qry()>mid) dlt(i);else vs1[i]=1,++cnt1;}
		if(cnt*mid<=cnt1) {l=mid+1;for(int i=1;i<=n;++i) if(vs1[i]) vs[i]=1;}
		else {r=cnt1/cnt;for(int i=1;i<=n;++i) if(vs1[i]) dlt(i),--cnt1;else vs[i]=1;}
	}return r;
}