#include <bits/stdc++.h>
#include "mushrooms.h"
using namespace std;
#define pb push_back
#define st first
#define nd second
typedef long long ll;
typedef long double ld;
const ll I = 1000'000'000'000'000'000LL;
const int II = 2'000'000'000;
const ll M = 1000'000'007LL;
const int N = 1000'007;
vector<int> pos0, pos1;
int cur = 2, n, ans = 1;
void Opt0()
{
//cerr << ans << " " << " Opt0 \n";
int a = cur, b = cur + 1, c = cur + 2;
cur += 3;
vector<int>q{pos0[0], a, pos0[1], b, pos0[2], c};
int x = use_machine(q);
//cerr << a << " " << b << " " << c << " " << x << "\n";
if(x % 2 == 1)
{
pos1.pb(c);
x -= 1;
}else
{
pos0.pb(c); ++ans;
}
if(x == 0)
{
pos0.pb(a); pos0.pb(b);
ans += 2;
return;
}
if(x == 4)
{
pos1.pb(a); pos0.pb(b);
return;
}
c = cur; int d = cur + 1;
cur += 2;
q = {pos0[0], d, pos0[1], a, pos0[2], pos1[0], b, pos1[1], c};
x = use_machine(q);
//cerr << "Q2: " << x << "\n";
//cerr << a << " " << b << " " << d << " " << c << "\n";
if(x % 2 == 1)
{
pos1.pb(c);
}else
{
pos0.pb(c); ++ans;
}
--x;
if(x % 4 == 0)
{
++ans;
pos0.pb(d);
}else
{
x -= 2;
pos1.pb(d);
}
++ans;
if(x == 4)
{
pos0.pb(a);
pos1.pb(b);
}else
{
pos0.pb(b);
pos1.pb(a);
}
}
void Opt1()
{
//cerr << "Opt1\n";
int a = cur, b = cur + 1, c = cur + 2;
cur += 3;
vector<int>q{pos1[0], a, pos1[1], b, pos1[2], c};
int x = use_machine(q);
if(x % 2 == 1)
{
pos0.pb(c); ++ans;
x -= 1;
}else
{
pos1.pb(c);
}
if(x == 0)
{
pos1.pb(a); pos1.pb(b);
return;
}
if(x == 4)
{
pos1.pb(a); pos0.pb(b);
ans += 2;
return;
}
c = cur; int d = cur + 1;
cur += 2;
q = {pos1[0], d, pos1[1], a, pos1[2], pos0[0], b, pos0[1], c};
x = use_machine(q);
if(x % 2 == 1)
{
pos0.pb(c);
++ans;
}else
{
pos1.pb(c);
}
--x;
if(x % 4 == 0)
{
pos1.pb(d);
}else
{
x -= 2;
++ans;
pos0.pb(d);
}
++ans;
if(x == 4)
{
pos1.pb(a);
pos0.pb(b);
}else
{
pos1.pb(b);
pos0.pb(a);
}
}
void Q20()
{
vector<int> q;
q.pb(pos0[0]);
q.pb(cur); ++cur;
q.pb(pos0[1]);
q.pb(cur); ++cur;
int x = use_machine(q);
if(x % 2 == 0)
{
++ans; pos0.pb(q.back());
}else
{
pos1.pb(q.back());
--x;
}
if(x == 0)
{
++ans; pos0.pb(q[1]);
}else
{
pos1.pb(q[1]);
}
}
void Q21()
{
vector<int> q;
q.pb(pos1[0]);
q.pb(cur); ++cur;
q.pb(pos1[1]);
q.pb(cur); ++cur;
int x = use_machine(q);
if(x % 2 == 0)
{
pos1.pb(q.back());
}else
{
pos0.pb(q.back());
++ans;
--x;
}
if(x == 0)
{
pos1.pb(q[1]);
}else
{
pos0.pb(q[1]);
++ans;
}
}
void Ask0()
{
vector<int> q;
for(int l = 0; l < (int)pos0.size() && cur <= n; ++l)
{
q.pb(pos0[l]);
q.pb(cur);
++cur;
}
int x = use_machine(q);
if(x % 2 == 0)
{
pos0.pb(q.back());
}else
{
++x;
pos1.pb(q.back());
}
ans += ((int)q.size() - x) / 2;
}
void Ask1()
{
vector<int> q;
for(int l = 0; l < (int)pos1.size() && cur <= n; ++l)
{
q.pb(pos1[l]);
q.pb(cur);
++cur;
}
int x = use_machine(q);
if(x % 2 == 1)
{
++x;
pos0.pb(q.back());
}else
{
pos1.pb(q.back());
}
ans += x / 2;
}
int count_mushrooms(int _n)
{
n = _n - 1;
int x = use_machine({0, 1});
pos0.pb(0);
if(x % 2 == 0)
{
++ans;
pos0.pb(1);
}
else
pos1.pb(1);
//cerr << "XD\n";
if((int)pos0.size() < 2 && cur <= n)
Ask0();
for(int i = 0; i < 2 && cur <= n - 1; ++i)
if((int)pos0.size() >= 2)
Q20();
else
Q21();
while((((int)pos0.size() < 2 || (int)pos1.size() < 2) || ((int)pos0.size() < 3 && (int)pos1.size() < 3)) && cur <= n)
Ask0();
//cerr << pos0.size() << " " << pos1.size() << " xd\n";
for(int l = 1; l <= 75 && cur <= n - 4; ++l)
{
if((int)pos0.size() >= 3)
Opt0();
else
Opt1();
}
while(cur <= n)
{
if((int)pos0.size() >= (int)pos1.size())
Ask0();
else
Ask1();
}
return ans;
}
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