#include "insects.h"
#include<bits/stdc++.h>
using namespace std;
int min_cardinality(int N) {
vector<int> temp;
int d = 0;
for (int i = 0; i < N; i++){
move_inside(i);
int count = press_button();
if (count > 1){
move_outside(i);
}
else{
temp.push_back(i);
d++;
}
}
for (int i = 0; i < temp.size(); i++){
move_outside(temp[i]);
}
int ans = N;
int l = 1, r = N, mid;
while(l <= r){
mid = (r - l) / 2 + l;
vector<int> allIn;
for (int i = 0; i < N; i++){
move_inside(i);
int count = press_button();
if (count > mid){
move_outside(i);
}
else{
allIn.push_back(i);
if (allIn.size() == d * mid) break;
}
}
if (allIn.size() == d * mid){
ans = mid;
l = mid + 1;
}
else{
r = mid - 1;
}
for (int i = 0; i < allIn.size(); i++){
move_outside(allIn[i]);
}
}
return ans;
}
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