#include "candies.h"
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define ll long long
#define ld long double
#define ull unsigned long long
#define ff first
#define ss second
#define pii pair<int,int>
#define pll pair<long long, long long>
#define vi vector<int>
#define vl vector<long long>
#define pb push_back
#define rep(i, b) for(int i = 0; i < (b); ++i)
#define rep2(i,a,b) for(int i = a; i <= (b); ++i)
#define rep3(i,a,b,c) for(int i = a; i <= (b); i+=c)
#define count_bits(x) __builtin_popcountll((x))
#define all(x) (x).begin(),(x).end()
#define siz(x) (int)(x).size()
#define forall(it,x) for(auto& it:(x))
using namespace __gnu_pbds;
using namespace std;
typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set;
//mt19937 mt;void random_start(){mt.seed(chrono::time_point_cast<chrono::milliseconds>(chrono::high_resolution_clock::now()).time_since_epoch().count());}
//ll los(ll a, ll b) {return a + (mt() % (b-a+1));}
const int INF = 1e9+50;
const ll INF_L = 1e18+40;
const ll MOD = 1e9+7;
struct node
{
ll max_ = 0;
ll min_ = 0;
ll spych = 0;
node operator+(const node& other)
{
node res;
res.max_ = max(max_,other.max_);
res.min_ = min(min_,other.min_);
return res;
}
void add(ll x)
{
max_ += x;
min_ += x;
spych += x;
}
};
const int tree_siz = 1024*512-1;
node drzewo[tree_siz+1];
void spych(int v)
{
drzewo[v*2].add(drzewo[v].spych);
drzewo[v*2+1].add(drzewo[v].spych);
drzewo[v].spych = 0;
}
void add_seg(int akt, int l, int r, int l2, int r2, ll x)
{
if(l > r2 || r < l2) return;
if(l >= l2 && r <= r2)
{
drzewo[akt].add(x);
return;
}
spych(akt);
add_seg(akt*2,l,(l+r)/2,l2,r2,x);
add_seg(akt*2+1,(l+r)/2+1,r,l2,r2,x);
drzewo[akt] = drzewo[akt*2] + drzewo[akt*2+1];
}
node get_seg(int akt, int l, int r, int l2, int r2)
{
if(l > r2 || r < l2) return {(ll)-1e18,(ll)1e18,0LL};
if(l >= l2 && r <= r2)
{
return drzewo[akt];
}
spych(akt);
return get_seg(akt*2,l,(l+r)/2,l2,r2) + get_seg(akt*2+1,(l+r)/2+1,r,l2,r2);
}
vector<pll> events[200'001];
vi distribute_candies(vi c, vi l, vi r, vi v)
{
int n = c.size();
vi ansT(n);
events[0].pb({0,1e9});
events[0].pb({1,-1e9});
rep(i,siz(l))
{
events[l[i]].pb({i+2,v[i]});
events[r[i]+1].pb({i+2,-v[i]});
}
rep(i,n)
{
forall(it,events[i])
{
add_seg(1,0,tree_siz/2,it.ff,siz(l)+2,it.ss);
}
int L = 0;
int R = siz(l)+2;
int ans = -1;
while(L <= R)
{
int mid = (L+R)/2;
node inf = get_seg(1,0,tree_siz/2,mid+1,siz(l)+2);
if(inf.max_ - inf.min_ <= c[i])
{
ans = mid;
R = mid-1;
}
else
{
L = mid+1;
}
}
ll end_val = get_seg(1,0,tree_siz/2,siz(l)+2,siz(l)+2).max_;
ll my_val = get_seg(1,0,tree_siz/2,ans,ans).max_;
node inf = get_seg(1,0,tree_siz/2,ans,siz(l)+2);
if(my_val <= inf.min_)
{
ansT[i] = end_val - (inf.max_ - c[i]);
}
else
{
ansT[i] = end_val - inf.min_;
}
}
return ansT;
}
