This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
const int N=2e5+5;
const int K=1<<19;
const int INF=1e9+7;
int n,q;
int h[N],a[N],b[N];
int ql[N],qr[N],ans[N];
vector<int> qrs[N],add[N],del[N];
struct Segtree{
struct Node{
int mx,mn,ans;
Node():mx(-INF),mn(INF),ans(-1){}
Node(int h):mx(h),mn(h),ans(-1){}
friend Node operator+(const Node &lhs,const Node &rhs){
Node res;
res.mx=max(lhs.mx,rhs.mx);
res.mn=min(lhs.mn,rhs.mn);
res.ans=max(lhs.ans,rhs.ans);
return res;
}
}t[K];
struct Tag{
int mx,mn;
Tag():mx(-INF),mn(INF){}
Tag(int h):mx(h),mn(h){}
Tag &operator+=(const Tag &rhs){
mx=max(mx,rhs.mx);
mn=min(mn,rhs.mn);
return *this;
}
}lz[K];
void push(int l,int r,int i){
t[i].ans=max(t[i].ans,lz[i].mx-t[i].mn);
t[i].ans=max(t[i].ans,t[i].mx-lz[i].mn);
if(l<r){
lz[i*2]+=lz[i];
lz[i*2+1]+=lz[i];
}
lz[i]=Tag();
}
void update(int l,int r,int i,int x,int y,int v){
push(l,r,i);
if(y<l||r<x)return;
if(x<=l&&r<=y)return lz[i]=v,push(l,r,i);
int m=(l+r)/2;
update(l,m,i*2,x,y,v);
update(m+1,r,i*2+1,x,y,v);
t[i]=t[i*2]+t[i*2+1];
}
void update(int x,int y,int v){
update(1,n,1,x,y,v);
}
void modify(int l,int r,int i,int x,const Node &v){
push(l,r,i);
if(x<l||r<x)return;
if(l==r)return t[i].mx=v.mx,t[i].mn=v.mn,void();
int m=(l+r)/2;
modify(l,m,i*2,x,v);
modify(m+1,r,i*2+1,x,v);
t[i]=t[i*2]+t[i*2+1];
}
void modify(int x,const Node &v){
modify(1,n,1,x,v);
}
int query(int l,int r,int i,int x,int y){
push(l,r,i);
if(y<l||r<x)return -1;
if(x<=l&&r<=y)return t[i].ans;
int m=(l+r)/2;
return max(query(l,m,i*2,x,y),query(m+1,r,i*2+1,x,y));
}
int query(int x,int y){
return query(1,n,1,x,y);
}
}s;
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin >> n;
for(int i=1;i<=n;i++){
cin >> h[i] >> a[i] >> b[i];
int l=i+a[i],r=i+b[i];
if(l<=n)add[l].emplace_back(i);
if(r<=n)del[r].emplace_back(i);
}
cin >> q;
for(int i=1;i<=q;i++){
cin >> ql[i] >> qr[i];
qrs[qr[i]].emplace_back(i);
}
for(int i=1;i<=n;i++){
for(auto j:add[i])s.modify(j,Segtree::Node(h[j]));
s.update(i-b[i],i-a[i],h[i]);
for(auto j:qrs[i])ans[j]=s.query(ql[j],qr[j]);
for(auto j:del[i])s.modify(j,Segtree::Node());
}
for(int i=1;i<=q;i++)cout << ans[i] << "\n";
}
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