#include "mushrooms.h"
#include <bits/stdc++.h>
using namespace std;
const int k=75;
vector <int> a[2];
int t,res,sz;
int count_mushrooms(int n){
if (n<=227){
for (int i=1;i<n;i++)
res+=1-use_machine({0,i});
return res+1;
}
a[0].push_back(0);
for (int i=1;i<=2;i++){
int x=use_machine({0,i});
a[x].push_back(i);
}
int ch=0;
if (a[0].size()<a[1].size()){
swap(a[0],a[1]);
ch=1;
}
for (int i=3;max(a[0].size(),a[1].size())<k;i+=2){
int x=use_machine({i,a[0][0],i+1,a[0][1]});
a[x&1].push_back(i);
a[(x>>1)&1].push_back(i+1);
}
t=(a[0].size()<k)^ch;
if (a[0].size()<k)
swap(a[0],a[1]);
res=a[1].size();
for (int i=a[0].size()+a[1].size();i<n;){
if (i==n-1){
res+=abs(t-use_machine({0,i}));
break;
}
vector <int> ve;
for (int j=i;j<min(i+(int)a[0].size(),n);j++){
ve.push_back(j);
ve.push_back(a[0][j-i]);
}
int x=use_machine(ve);
res+=(x+1)/2;
a[x&1].push_back(i);
if (a[0].size()<a[1].size()){
res=min(i+(int)a[0].size(),n)-res;
swap(a[0],a[1]);
t^=1;
}
i=ve[ve.size()-2]+1;
}
return (t?res:n-res);
}
