#include "happiness.h"
#include<bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
typedef long long ll;
typedef pair<ll,ll> pll;
typedef pair<ll,int> pli;
typedef pair<int,ll> pil;
typedef pair<int,int> pii;
const ll INFLL=1e18+7;
const int INF=1e9+7;
#define pb push_back
const int MAXN=2e5+7;
const ll nTree=(1LL<<40);
struct spr_tree{
struct node{
node *left_node=nullptr,*right_node=nullptr;
ll val=0,lazy=0;
};
node *root=new node();
void update(node *v,ll start,ll end,ll l,ll r,ll val){
if(v->lazy!=0){
v->val+=v->lazy;
if(start!=end){
if(v->left_node==nullptr) v->left_node=new node();
v->left_node->lazy+=v->lazy;
if(v->right_node==nullptr) v->right_node=new node();
v->right_node->lazy+=v->lazy;
}
v->lazy=0;
}
if(start>r||end<l||start>end) return;
if(start>=l&&end<=r){
v->val+=val;
if(start!=end){
if(v->left_node==nullptr) v->left_node=new node();
v->left_node->lazy+=val;
if(v->right_node==nullptr) v->right_node=new node();
v->right_node->lazy+=val;
}
return;
}
ll mid=(start+end)>>1;
if(l<=mid||v->left_node!=nullptr){
if(v->left_node==nullptr) v->left_node=new node();
update(v->left_node,start,mid,l,r,val);
}
if(r>mid||v->right_node!=nullptr){
if(v->right_node==nullptr) v->right_node=new node();
update(v->right_node,mid+1,end,l,r,val);
}
v->val=max((v->left_node==nullptr?-INFLL:v->left_node->val),(v->right_node==nullptr?-INFLL:v->right_node->val));
}
ll query(node *v,ll start,ll end,ll l,ll r){
if(start>r||end<l||start>end) return -INFLL;
if(v->lazy!=0){
v->val+=v->lazy;
if(start!=end){
if(v->left_node==nullptr) v->left_node=new node();
v->left_node->lazy+=v->lazy;
if(v->right_node==nullptr) v->right_node=new node();
v->right_node->lazy+=v->lazy;
}
v->lazy=0;
}
if(start>=l&&end<=r) return v->val;
ll mid=(start+end)>>1;
ll val1=-INFLL,val2=-INFLL;
if(l<=mid){
if(v->left_node==nullptr) v->left_node=new node();
val1=query(v->left_node,start,mid,l,r);
}
if(r>mid){
if(v->right_node==nullptr) v->right_node=new node();
val2=query(v->right_node,mid+1,end,l,r);
}
return max(val1,val2);
}
void update(ll l,ll r,ll val){update(root,0,nTree-1,l,r,val);}
ll query(ll l,ll r){return query(root,0,nTree-1,l,r);}
};
ll N;
map<ll,int> cnt;
spr_tree t;
bool init(int coinsCount,ll maxCoinSize,ll coins[]){
N=maxCoinSize;
for(int i=0;i<coinsCount;++i){
++cnt[coins[i]];
if(cnt[coins[i]]==1) t.update(coins[i],coins[i],coins[i]);
t.update(coins[i]+1,N+1,-coins[i]);
}
return t.query(1,N+1)<=1;
}
bool is_happy(int event,int coinsCount,ll coins[]){
for(int i=0;i<coinsCount;++i){
if(event==1){
++cnt[coins[i]];
if(cnt[coins[i]]==1) t.update(coins[i],coins[i],coins[i]);
t.update(coins[i]+1,N+1,-coins[i]);
}else{
--cnt[coins[i]];
if(cnt[coins[i]]==0) t.update(coins[i],coins[i],-coins[i]);
t.update(coins[i]+1,N+1,coins[i]);
}
}
return t.query(1,N+1)<=1;
}
//~ int main()
//~ {
//~ ios_base::sync_with_stdio(0);
//~ cout<<init(5,100,{4,8,1,2,16})<<"\n";
//~ cout<<is_happy(-1,2,{2,8})<<"\n";
//~ cout<<is_happy(1,3,{7,9,2})<<"\n";
//~ }
