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<i_am_noob_orz>
#include<bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
using namespace std;
#define ll long long
#define int ll
#define ull unsigned long long
#define pii pair<int,int>
#define X first
#define Y second
#define mod ((ll)1e9+7)
#define pb push_back
#define mp make_pair
#define abs(x) ((x)>0?(x):(-(x)))
#define F(n) Fi(i,n)
#define Fi(i,n) Fl(i,0,n)
#define Fl(i,l,n) for(int i=l;i<n;i++)
#define memres(a) memset(a,0,sizeof(a))
#define all(a) a.begin(),a.end()
#define sz(a) ((int)a.size())
#define ceiling(a,b) (((a)+(b)-1)/(b))
#define endl '\n'
#define bit_count(x) __builtin_popcountll((x))
#define ykh mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define jimmy_is_kind false
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> rbtree;
//#define LOCAL
#ifdef LOCAL
#define bug(...) cerr<<"#"<<__LINE__<<' '<<#__VA_ARGS__<<"- ", _do(__VA_ARGS__)
template<typename T> void _do(T && x) {cerr<<x<<endl;}
template<typename T, typename ...S> void _do(T && x, S&&...y) {cerr<<x<<", "; _do(y...);}
#define IOS()
#else
#define IOS() ios_base::sync_with_stdio(0), cin.tie(0)
#define endl '\n'
#define bug(...)
#endif
int add(int a,int b){return(a+b>=mod?a+b-mod:a+b);}
int sub(int a,int b){return(a<b?a+mod-b:a-b);}
int po(int a,int b){
if(b==0)return 1;
if(b==1)return(a%mod);
int tem=po(a,b/2);
if(b&1)return(((tem*tem)%mod)*a)%mod;
else return(tem*tem)%mod;
}
int GCD(int a,int b){
int x=0;
int ra,rb;
while(a&&b){
if(((a&1)==0)&&((b&1)==0)){
a>>=1,b>>=1,x++;
}
else if((a^b)&1){
if(a&1)b>>=1;
else a>>=1;
}
else{
ra=abs(a-b),rb=min(a,b);
a=ra,b=rb;
}
}
return max(a,b)<<x;
}
int gcd(int a,int b){if(b==0)return a;return gcd(b,a%b);}
int h[200010],o[200010];
pii b[200010];
pair<pii,int> qr[200010];
vector<pii> ev;
struct NODE{
int v,mi,ma,ti,ta;
NODE():v(-1e15),mi(1e15),ma(-1e15),ti(-1e15),ta(1e15){}
}seg[800010];
void pull(int p){
seg[p].mi=min(seg[p*2].mi,seg[p*2+1].mi);
seg[p].ma=max(seg[p*2].ma,seg[p*2+1].ma);
seg[p].v=max(seg[p*2].v,seg[p*2+1].v);
}
void push(int p,int l,int mi,int r){
seg[p*2].ta=min(seg[p*2].ta,seg[p].ta);
seg[p*2+1].ta=min(seg[p*2+1].ta,seg[p].ta);
seg[p*2].ti=max(seg[p*2].ti,seg[p].ti);
seg[p*2+1].ti=max(seg[p*2+1].ti,seg[p].ti);
seg[p*2].v=max(seg[p*2].v,max(seg[p*2].ma-seg[p*2].ta,seg[p*2].ti-seg[p*2].mi));
seg[p*2+1].v=max(seg[p*2+1].v,max(seg[p*2+1].ma-seg[p*2+1].ta,seg[p*2+1].ti-seg[p*2+1].mi));
seg[p].ti=-1e15,seg[p].ta=1e15;
}
void insert(int p,int l,int r,int x,int d){
if(l==r){
seg[p].ti=-1e15,seg[p].ta=1e15;
if(d==-1){
seg[p].ma=-1e15,seg[p].mi=1e15;
}
else{
seg[p].ma=seg[p].mi=d;
}
return;
}
int mi=(l+r)/2;
push(p,l,mi,r);
if(x>mi)insert(p*2+1,mi+1,r,x,d);
else insert(p*2,l,mi,x,d);
pull(p);
}
void modify(int p,int l,int r,int ql,int qr,int v){
if(ql>r||qr<l)return;
if(l>=ql&&r<=qr){
seg[p].ti=max(seg[p].ti,v);
seg[p].ta=min(seg[p].ta,v);
seg[p].v=max(seg[p].v,max(seg[p].ma-seg[p].ta,seg[p].ti-seg[p].mi));
return;
}
int mi=(l+r)/2;
push(p,l,mi,r);
modify(p*2,l,mi,ql,qr,v);
modify(p*2+1,mi+1,r,ql,qr,v);
pull(p);
}
int query(int p,int l,int r,int ql,int qr){
if(ql>r||qr<l)return -1e15;
if(l>=ql&&r<=qr){bug(p,l,r,ql,qr,seg[p].v);return seg[p].v;}
int mi=(l+r)/2;
push(p,l,mi,r);
return max(query(p*2,l,mi,ql,qr),query(p*2+1,mi+1,r,ql,qr));
}
bool cmp(pair<pii,int> a,pair<pii,int> b){
if(a.X.Y==b.X.Y)return a.X.X<b.X.X;
else return a.X.Y<b.X.Y;
}
bool cmp1(pii a,pii b){
if(a.X==b.X)return a.Y>b.Y;
else return a.X<b.X;
}
signed main(){
IOS();
int n;
cin>>n;
F(n)cin>>h[i]>>b[i].X>>b[i].Y;
int q;
cin>>q;
F(q)cin>>qr[i].X.X>>qr[i].X.Y,qr[i].X.X--,qr[i].X.Y--;
F(q)qr[i].Y=i;
sort(qr,qr+q,cmp);
F(n){
ev.pb({min(n,i+b[i].X),i+1});
ev.pb({min(n,i+b[i].Y+1),-i-1});
}
sort(all(ev),cmp1);
int p0=0,p1=0;
F(n){
while(p0<sz(ev)&&ev[p0].X==i){
if(ev[p0].Y>0){
insert(1,0,n-1,ev[p0].Y-1,h[ev[p0].Y-1]);
}
else{
insert(1,0,n-1,-ev[p0].Y-1,-1);
}
p0++;
}
if(i-b[i].X>=0ll)modify(1,0,n-1,max(0ll,i-b[i].Y),max(0ll,i-b[i].X),h[i]);
while(p1<q&&qr[p1].X.Y==i){
o[qr[p1].Y]=query(1,0,n-1,qr[p1].X.X,qr[p1].X.Y);
if(o[qr[p1].Y]<0)o[qr[p1].Y]=-1;
p1++;
}
}
F(q)cout<<o[i]<<endl;
return 0;
}
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