//#include "festival.h"
#include<bits/stdc++.h>
#pragma GCC optimize("O3")
#pragma GCC target("avx2")
#define ll long long
#define ld long double
#define pii pair<int,int>
#define pll pair<ll,ll>
#define plx pair<ll,int>
#define f first
#define s second
#define pb push_back
#define all(x) x.begin(),x.end()
#define vi vector<int>
#define vvi vector<vi>
#define ub(x,i) upper_bound(all(x),i)-x.begin()
#define lb(x,i) lower_bound(all(x),i)-x.begin()
#define sz(x) (ll)x.size()
#define cd complex<double>
#define t3 tuple<ll,ll,ll>
using namespace std;
const int mxn=2e5+5;
int n,q;
struct lzseg{
pll t[4*mxn];
ll lz[4*mxn]{0};
void build(int i,int l,int r){
if(l==r)return void(t[i]={0,l});
int m=(l+r)>>1;build(2*i,l,m);build(2*i+1,m+1,r);
t[i]=max(t[2*i],t[2*i+1]);
}
void push(int i,int l,int r){
t[i].f+=lz[i];
if(l<r)lz[2*i]+=lz[i],lz[2*i+1]+=lz[i];
lz[i]=0;
}
void update(int i,int l,int r,int tl,int tr,ll v){
push(i,l,r);
if(r<tl||l>tr)return;
if(r<=tr&&l>=tl){
lz[i]+=v;push(i,l,r);return;
}int m=(l+r)>>1;
update(2*i,l,m,tl,tr,v);update(2*i+1,m+1,r,tl,tr,v);
t[i]=max(t[2*i],t[2*i+1]);
}
pll qr(int i,int l,int r,int tl,int tr){
push(i,l,r);
if(r<tl||l>tr)return {-1e16,-1};
if(r<=tr&&l>=tl)return t[i];
int m=(l+r)>>1;
return max(qr(2*i,l,m,tl,tr),qr(2*i+1,m+1,r,tl,tr));
}
}sg[2];vector<pii>upd[mxn];
vector<int> distribute_candies(std::vector<int> c, std::vector<int> l,std::vector<int> r, std::vector<int> v){
n=c.size(),q=v.size();vector<int>ans(n);sg[0].build(1,0,q);sg[1].build(1,0,q);
for(int i=0;i<q;i++)upd[l[i]].pb({v[i],i+1}),upd[r[i]+1].pb({-v[i],i+1});
for(int i=0;i<n;i++){
for(auto [val,id] : upd[i])sg[0].update(1,0,q,id,q,val),sg[1].update(1,0,q,id,q,-val);
pll mx=sg[0].qr(1,0,q,0,q),mn=sg[1].qr(1,0,q,0,q);mn.f=-mn.f;
if(mx.f-mn.f<c[i]){
ans[i]=sg[0].qr(1,0,q,q,q).f-min(mn.f,1ll*0);
continue;
}int tl=0,tr=q;
while(tl<tr){
int m=(tl+tr+1)>>1;
if(sg[0].qr(1,0,q,m,q).f+sg[1].qr(1,0,q,m,q).f>=c[i])tl=m;
else tr=m-1;
}mx=sg[0].qr(1,0,q,tl,q),mn=sg[1].qr(1,0,q,tl,q);mn.f=-mn.f;
if(mn.s>mx.s){
ans[i]=sg[0].qr(1,0,q,q,q).f-mn.f;
}else{
ans[i]=sg[0].qr(1,0,q,q,q).f-mx.f+c[i];
}
}return ans;
}
/*int main(){
ve[-ctor<int>rs=distribute_candies({10, 15, 13},{0, 0},{2, 1},{20, -11});
for(auto it : rs)cout<<it<<' ';
}*/
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