#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
int min_cardinality(int n) {
int dst = 0;
for (int i = 0; i < n; i++)
{
move_inside(i);
int val = press_button();
if(val>1)
move_outside(i);
else
dst++;
}
function<bool(int)> check = [&](int x)
{
if(x>n)return true;
if(x==0)return false;
int sz = 0;
for(int i = 0; i< n; i++)
{
move_inside(i);
int val = press_button();
if(val>x)
move_outside(i);
else
sz++;
}
return sz < x*dst;
};
int l = 2,r = n+1;
while(r-l)
{
int mid = l+r>>1;
if(check(mid))
r = mid;
else
l = mid+1;
}
return l-1;
}
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