#include "mushrooms.h"
#include <bits/stdc++.h>
using namespace std;
//#define int long long
#define pb push_back
#define fi first
#define se second
#define dd(x) cout<<#x<<" is "<<x<<endl;
#define dd2(x,y) cout<<#x<<" is "<<x<<" "<<#y<<" is "<<y<<endl;
#define dl(x) cout<<#x<<" is "<<endl; for(auto i:x) cout<<i<<" "; cout<<endl;
const int N = 70;
vector<int>a;
vector<int>b;
int ans;
void get2(int &x, int &y, int &type){
if(use_machine({0,1})){
b.pb(1);
if(use_machine({0,2})){
b.pb(2);
x=1,y=2,type=1;
} else {
a.pb(2);
x=0,y=2,type=0;
}
} else {
a.pb(1);
x=0, y=1, type=0;
}
}
void get100(int x, int y, vector<int> &v, vector<int> &w, int n){
int st = v.size()+w.size();
for(int i=st; i<n-1; i+=2){
int res = use_machine({x,i,y,i+1});
if(res == 0) v.pb(i), v.pb(i+1);
else if(res == 1) v.pb(i), w.pb(i+1);
else if(res == 2) v.pb(i+1), w.pb(i);
else w.pb(i), w.pb(i+1);
if(v.size() >= N or w.size() >= N) break;
}
}
void query(vector<int>&x){
vector<int> &ref = (a.size() > b.size())? a : b;
vector<int> ¬ref = (a.size() > b.size())? b : a;
int n = x.size();
vector<int>m;
for(int i=0; i<n; i++) {
m.pb(ref[i]);
m.pb(x[i]);
}
int res = use_machine(m);
if(a.size() > b.size()) ans += n-(res+1)/2;
else ans += (res+1)/2;
if(res%2) notref.pb(x.back());
else ref.pb(x.back());
x.clear();
}
int count_mushrooms(int n) {
if(n==2){
if(use_machine({0,1})) return 1;
else return 2;
}
a.pb(0);
int x,y,type;
get2(x,y,type);
if(type == 0) get100(x,y,a,b,n);
else get100(x,y,b,a,n);
ans = a.size();
int st=a.size() + b.size();
vector<int>test;
for(int i=st; i<n; i++){
test.pb(i);
if(test.size() == max(a.size(),b.size())) query(test);
}
if(test.size()) query(test);
return ans;
}
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