#include "mushrooms.h"
#include <bits/stdc++.h>
using namespace std;
#define dbgv(v) cout<<#v<<" = "; f(i,0,int(v.size())) cout<<v[i]<<" "; cout<<endl
#define dbga(a,x,y) cout<<#a<<" = "; f(i,x,y) cout<<a[i]<<" "; cout<<endl
#define erorp(x) cout<<#x<<"={"<<x.F<<" , "<<x.S<<"}"<<endl
#define eror(x) cout<<#x<<'='<<(x)<<endl
#define f_(i,a,b) for(int i=a;i>=b;i--)
#define f(i,a,b) for(int i=a;i<b;i++)
#define nb(x) __builtin_popcount(x)
#define all(v) v.begin(),v.end()
#define bit(n,k) (((n)>>(k))&1)
#define Add(x,y) x=(x+y)%mod
#define maxm(a,b) a=max(a,b)
#define minm(a,b) a=min(a,b)
#define lst(x) x[x.size()-1]
#define sz(x) int(x.size())
#define mp make_pair
#define ll long long
#define pb push_back
#define S second
#define F first
const int S=187;
int n,ans;
vector<int> A,B;
int get(vector<int> vec){
if(vec.size()<=A.size()){
vector<int> res;
f(i,0,int(vec.size())) res.pb(vec[i]),res.pb(A[i]);
int prt=use_machine(res);
if(prt&1) B.pb(vec[0]);
else A.pb(vec[0]);
prt=(prt+1)/2;
return int(vec.size())-prt;
}
else{
vector<int> res;
f(i,0,int(vec.size())) res.pb(vec[i]),res.pb(B[i]);
int prt=use_machine(res);
if(prt&1) A.pb(vec[0]);
else B.pb(vec[0]);
prt=(prt+1)/2;
return prt;
}
}
int count_mushrooms(int _n) {
n=_n;
A.pb(0);
f(i,1,min(n,S)){
vector<int> vec;
vec.pb(0);
vec.pb(i);
if(use_machine(vec)==0){
A.pb(i);
}
else{
B.pb(i);
}
}
ans=A.size();
vector<int> vec;
f(i,S,n){
vec.pb(i);
if(i==n-1 || int(vec.size())>=max(int(A.size()),int(B.size()))){
ans+=get(vec);
vec.clear();
}
}
return ans;
}
