#include "insects.h"
#include<bits/stdc++.h>
using namespace std;
mt19937 rng(random_device{}());
int min_cardinality(int N) {
int types=0,ans=1;
vector<int>unknown(N),unknown2;
iota(unknown.begin(),unknown.end(),0);
for(int i:unknown){
move_inside(i);
int val=press_button();
if(val-1)
unknown2.push_back(i),move_outside(i);
else types++;
}
while(1){
if(ans==N/types)
break;
unknown.clear();
shuffle(unknown2.begin(),unknown2.end(),rng);
shuffle(unknown2.begin(),unknown2.end(),rng);
int det=1;
move_inside(unknown2[0]);
for(int j=1;j<N-types*ans;j++) {
int i=unknown2[j];
if(types-det>N-types*ans-j)
break;
if(det==types){
unknown.push_back(i);
continue;
}
move_inside(i);
int val=press_button();
if(val-ans-1)
unknown.push_back(i),move_outside(i);
else det++;
}
swap(unknown,unknown2);
if(det!=types)
break;
ans++;
}
return ans;
}
