#include "insects.h"
#include<bits/stdc++.h>
using namespace std;
#define rep(a, b) for(int a = 0; a < (b); ++a)
#define st first
#define nd second
#define pb push_back
#define all(a) a.begin(), a.end()
int min_cardinality(int n) {
vector<int>A, B;
rep(i, n) {
move_inside(i);
if(press_button()==1) A.pb(i);
else {
B.pb(i);
move_outside(i);
}
}
for(auto i : A) move_outside(i);
int po=1, ko=n/(int)A.size();
stack<pair<int,int>>S;
S.push({-1, -1});
while(po<ko) {
int sr=po+(ko-po)/4;
while(S.top().st>sr) {
B.pb(S.top().nd);
move_outside(S.top().nd);
S.pop();
}
vector<int>tmp;
for(auto i : B) {
move_inside(i);
int x=press_button();
if(x>sr) {
move_outside(i);
tmp.pb(i);
continue;
}
S.push({x, i});
}
B=tmp;
bool ok=false;
for(auto i : A) {
move_inside(i);
int x=press_button();
move_outside(i);
if(x==sr) {
ok=true;
break;
}
}
if(ok) ko=sr; else po=sr+1;
}
return po;
}
