#include "mushrooms.h"
#include<bits/stdc++.h>
#define F first
#define S second
using namespace std;
int p[20010];
int query(vector<int> vc){
vector<int> ask=vc;
for(auto &x:ask){
x=p[x];
}
return use_machine(vc);
}
int count_mushrooms(int n) {
for(int i=0;i<n;i++)p[i]=i;
random_shuffle(&p[1],&p[n]);
vector<int> a={0},b;
int x=93;
for(int i=1;i<=min(2*x,n-1);i++){
int c=query({0,i});
if(c==0)a.push_back(i);
else b.push_back(i);
}
int ans=a.size(),cnt=min(2*x,n-1)+1;
while(cnt<n){
vector<int> q;
int xd=0,st=cnt;
if(a.size()>=b.size()){
for(int i=0;i<a.size();i++){
if(cnt<n){
xd++;
q.push_back(cnt);
cnt++;
}
q.push_back(a[i]);
}
int ct=query(q);
if(ct%2==0){
a.push_back(st);
}else{
b.push_back(st);
}
int bs=(ct+1)/2;
ans+=xd-bs;
}else{
for(int i=0;i<b.size();i++){
if(cnt<n){
xd++;
q.push_back(cnt);
cnt++;
}
q.push_back(b[i]);
}
int ct=query(q);
if(ct%2==0){
b.push_back(st);
}else{
a.push_back(st);
}
int as=(ct+1)/2;
ans+=as;
}
}
return ans;
}
