This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Judges with GCC >= 12 only needs Ofast
// #pragma GCC optimize("O3,no-stack-protector,fast-math,unroll-loops,tree-vectorize")
// MLE optimization
// #pragma GCC optimize("conserve-stack")
// Old judges
// #pragma GCC target("sse4.2,popcnt,lzcnt,abm,mmx,fma,bmi,bmi2")
// New judges. Test with assert(__builtin_cpu_supports("avx2"));
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma,tune=native")
// Atcoder
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma")
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
- insert(x),erase(x)
- find_by_order(k): return iterator to the k-th smallest element
- order_of_key(x): the number of elements that are strictly smaller
*/
#include<bits/stdc++.h>
using namespace std;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
uniform_real_distribution<> pp(0.0,1.0);
//#define int long long
#define ld long double
#define pii pair<int,int>
#define piii pair<pii,int>
#define mpp make_pair
#define fi first
#define se second
const int inf=1e9+1;
const int mod=1e9+7;
const int maxn=200005;
const int bl=650;
const int maxs=655;
const int maxm=200005;
const int maxq=500005;
const int maxl=20;
const int maxa=250000;
const int root=3;
/*
int power(int a,int n){
int res=1;
while(n){
if(n&1) res=res*a%mod;
a=a*a%mod;n>>=1;
}
return res;
}
const int iroot=power(3,mod-2);
*/
const int base=101;
int n,h[maxn],a[maxn],b[maxn],ans[maxn];
vector<pii> query[maxn],add[maxn];
struct node{
int Max=0,Min=inf,res=-1,lMax=0,lMin=inf;
node(){}
friend node operator+(node a,node b){
node res;
res.Max=max(a.Max,b.Max);
res.Min=min(a.Min,b.Min);
res.res=max(a.res,b.res);
return res;
}
};
namespace Segtree{
node tree[4*maxn];
void getnew(int id,int Max,int Min){
if(tree[id].Max==0) return;
tree[id].lMax=max(tree[id].lMax,Max);
tree[id].lMin=min(tree[id].lMin,Min);
tree[id].res=max(tree[id].res,max(tree[id].Max-tree[id].lMin,tree[id].lMax-tree[id].Min));
}
void pushdown(int id){
if(tree[id].lMax==0) return;
getnew(id<<1,tree[id].lMax,tree[id].lMin);
getnew(id<<1|1,tree[id].lMax,tree[id].lMin);
tree[id].lMax=0;tree[id].lMin=inf;
}
void update_pos(int l,int r,int id,int p,int val){
if(l==r){
if(val) tree[id].Max=tree[id].Min=h[p];
else tree[id].Max=0,tree[id].Min=inf;
return;
}
pushdown(id);
int mid=(l+r)>>1;
if(p<=mid) update_pos(l,mid,id<<1,p,val);
else update_pos(mid+1,r,id<<1|1,p,val);
tree[id]=tree[id<<1]+tree[id<<1|1];
}
void update(int l,int r,int id,int tl,int tr,int val){
if(tr<l || r<tl) return;
if(tl<=l && r<=tr){
getnew(id,val,val);
return;
}
pushdown(id);
int mid=(l+r)>>1;
update(l,mid,id<<1,tl,tr,val);update(mid+1,r,id<<1|1,tl,tr,val);
tree[id]=tree[id<<1]+tree[id<<1|1];
}
int query(int l,int r,int id,int tl,int tr){
if(tr<l || r<tl) return -1;
if(tl<=l && r<=tr) return tree[id].res;
pushdown(id);
int mid=(l+r)>>1;
return max(query(l,mid,id<<1,tl,tr),query(mid+1,r,id<<1|1,tl,tr));
}
}
void solve(){
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].push_back({i,1});
if(r<n) add[r+1].push_back({i,0});
}
int q;cin >> q;
for(int i=1;i<=q;i++){
int l,r;cin >> l >> r;
query[r].push_back({l,i});
}
for(int i=1;i<=n;i++){
for(auto &[p,val]:add[i]) Segtree::update_pos(1,n,1,p,val);
int lt=max(1,i-b[i]),rt=i-a[i];
//cout << lt << ' ' << rt << ' ' << i << '\n';
if(lt<=rt) Segtree::update(1,n,1,lt,rt,h[i]);
for(auto &[l,id]:query[i]) ans[id]=Segtree::query(1,n,1,l,i);
}
for(int i=1;i<=q;i++) cout << ans[i] << '\n';
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
int test=1;//cin >> test;
while(test--) solve();
}
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