#include <bits/stdc++.h>
typedef long long ll;
using namespace std;
const int MAXQ = 1000005;
const ll INF = (ll)(1e18);
struct SegmentTree
{
int n;
ll vmin[MAXQ] = {0};
ll vmax[MAXQ] = {0};
ll lazy[MAXQ] = {0};
void init(int _n) { n = _n; }
void lazy_update(int node, int from, int to)
{
vmin[node] += lazy[node]; vmax[node] += lazy[node];
if (from < to)
{
lazy[2*node] += lazy[node];
lazy[2*node+1] += lazy[node];
}
lazy[node] = 0;
}
void update(int node, int from, int to, int L, int R, int add)
{
lazy_update(node, from, to);
if (from > R || to < L) return;
if (L <= from && to <= R) {
lazy[node] += add;
lazy_update(node, from, to);
return;
}
int mid = (from + to) / 2;
update(node * 2, from, mid, L, R, add);
update(node * 2 + 1, mid + 1, to, L, R, add);
vmin[node] = min(vmin[node * 2], vmin[node * 2 + 1]);
vmax[node] = max(vmax[node * 2], vmax[node * 2 + 1]);
}
ll get(int node, int from, int to, int lowerbound)
{
lazy_update(node, from, to);
if (from == to) return vmin[node];
int mid = (from + to) / 2;
if (vmax[node * 2 + 1] + lazy[node * 2 + 1] >= lowerbound)
return get(node * 2 + 1, mid + 1, to, lowerbound);
return min( vmin[node * 2 + 1] + lazy[node * 2 + 1], get(node * 2, from, mid, lowerbound) );
}
void add_range(int L, int R, int add)
{
update(1, 0, n - 1, L, R, add);
}
ll min_suffix(int lowerbound)
{
if (vmax[1] < lowerbound) return -INF;
return min(0LL, get(1, 0, n - 1, lowerbound));
}
} T;
vector<int> distribute_candies(vector<int> C, vector<int> L, vector<int> R, vector<int> V)
{
int n = C.size(); int q = L.size();
vector<int> A(n);
vector<vector<int>> begin_at(n,vector<int>()), end_at(n,vector<int>());
for(int i=0;i<q;i++)
{
begin_at[L[i]].push_back(i);
end_at[R[i]].push_back(i);
}
T.init(q+1);
vector<int> final_A(n);
for(int i=0;i<n;i++)
{
if (i>0)
{
T.add_range(0,0,-A[i-1]);
for(int j:end_at[i-1]) T.add_range(0,1+j,-V[j]);
}
T.add_range(0,0,A[i]);
for(int j : begin_at[i]) T.add_range(0,1+j,V[j]);
int low = 1, high = C[i] + 1;
while (low <= high)
{
int mid = (low + high) / 2;
ll smin = T.min_suffix(mid);
if (-smin + mid > C[i]) high = mid - 1;
else low = mid + 1;
}
final_A[i] = high;
}
return final_A;
}
