#include "light.h"
#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define pb push_back
#define ff first
#define ss second
#define MOD 998244353LL
#define INF 1000000001LL
#define POT (1LL<<20)
#define INFL 1000000000000000099LL
#define pii pair<ll,ll>
#define ppi pair<pii,ll>
#define pip pair<ll,pii>
#define ppp pair<pii,pii>
#define vi vector<ll>
#define vii vector<pii>
#define al(x) x.begin(),x.end()
#define rev(x) reverse(al(x))
#define X 18
template<typename T, typename U>
pair<T, U> operator+(const pair<T, U>& a, const pair<T, U>& b) {
return {a.first + b.first, a.second + b.second};
}
template<typename T, typename U>
pair<T, U> operator-(const pair<T, U>& a, const pair<T, U>& b) {
return {a.first - b.first, a.second - b.second};
}
template<typename T, typename U>
ostream& operator<<(ostream& os, const pair<T, U>& p) {
os<<"{"<<p.ff<<", "<<p.ss<<"}";
return os;
}
template<typename T>
ostream& operator<<(ostream& os, const vector<T>& v) {
os << "{";
for (size_t i = 0; i < v.size(); ++i) {
if (i) os << ", ";
os << v[i];
}
os << "}";
return os;
}
vi v;
ll n=1;
void prepare(){
v.pb(1);
}
void upd_v(ll a){
while(v.back()>n)v.pop_back();
vi an;
an.pb(n);
ll pop=n;
while((n-pop+1)*2<n){
ll x=n-(n-pop+1)*2;
while(v.size()>1 && v[v.size()-2]+a>=x)v.pop_back();
an.pb(max(x,v.back()));
pop=an.back();
}
if(an.back()!=1)
an.pb(1);
rev(an);
v=an;
}
pair<ll,vi> join(ll x){
n+=x;
upd_v(x);
return {x,v};
}
pair<ll,vi> leave(ll x){
n-=x;
upd_v(x);
return {x,v};
}
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