#include "light.h"
#include <bits/stdc++.h>
using namespace std;
long long cnt;
void prepare(){
cnt = 1;
}
std::pair<long long, std::vector<long long>> join(long long p){
vector<long long> g;
int x=0;
long long y=p;
cnt+=p;
p=cnt;
while(p>1){
g.push_back(p);
p-=(1<<x);
x++;
}
g.push_back(1);
return {y,g};
}
std::pair<long long, std::vector<long long>> leave(long long p){
cnt-=p;
long long y=p;
p=cnt;
vector<long long> g;
int x=0;
cnt+=p;
p=cnt;
while(p>1){
g.push_back(p);
p-=(1<<x);
x++;
}
g.push_back(1);
return {y,g};
}
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