#include "mushrooms.h"
#include <bits/stdc++.h>
using namespace std;
const int k=100;
vector <int> a[2],ve;
int res,x,c;
void update(){
if (a[0].size()<a[1].size()){
swap(a[0],a[1]);
c^=1;
}
}
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<3;i++){
int x=use_machine({0,i});
a[x].push_back(i);
}
update();
x=use_machine({3,a[0][0],4,a[0][1]});
a[x&1].push_back(3);
a[x/2&1].push_back(4);
update();
for (int i=5;max(a[0].size(),a[1].size())<k;){
x=use_machine({i,a[0][0],i+1,a[0][1],i+2,a[0][2]});
a[x&1].push_back(i);
if (x/2%2==0){
a[x/4].push_back(i+1);
a[x/4].push_back(i+2);
i+=3;
}
else if (a[1].size()<2){
x=use_machine({a[0][0],i+1});
a[x].push_back(i+1);
a[x^1].push_back(i+2);
i+=3;
}
else{
x=use_machine({i+4,a[0][0],i+3,a[0][1],i+2,a[0][2],a[1][0],i+1,a[1][1]})-1;
a[x&1].push_back(i+4);
a[x/2&1].push_back(i+3);
a[x/4].push_back(i+2);
a[x/4^1].push_back(i+1);
i+=5;
}
}
update();
res=a[1].size();
for (int i=a[0].size()+a[1].size();i<n;){
ve.clear();
int r=min(i+(int)a[0].size(),n);
for (int j=i;j<r;j++){
ve.push_back(j);
ve.push_back(a[0][j-i]);
}
x=use_machine(ve);
res+=(x+1)/2;
a[x&1].push_back(i);
if (a[0].size()<a[1].size()){
res=r-res;
swap(a[0],a[1]);
c^=1;
}
i=ve[ve.size()-2]+1;
}
return (c?res:n-res);
}
