#include <bits/stdc++.h>
#include "insects.h"
using namespace std;
int min_cardinality(int N) {
vector<int> representantes;
representantes.push_back(0);
map<int,int> L;
L[0]++;
int ans=1000000000;
for(int i=1;i<N;i++){
move_inside(i);
bool meter=false;
int metido;
bool ok=false;
for(auto x:representantes){
move_inside(x);
if(press_button()==2){
L[x]++;
move_outside(x);
ok=true;
break;
}
move_outside(x);
}
if(!ok){
representantes.push_back(i);
L[i]++;
}
move_outside(i);
}
for(auto x:L){
ans=min(ans,x.second);
}
return ans;
}
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