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;
#define int long long
#define ld long double
#define show(x,y) cout << y << " " << #x << endl;
#define show2(x,y,i,j) cout << y << " " << #x << " " << j << " " << #i << endl;
#define show3(x,y,i,j,p,q) cout << y << " " << #x << " " << j << " " << #i << " " << q << " " << #p << endl;
#define show4(x,y) for(auto it:y) cout << it << " "; cout << #x << endl;
typedef pair<int,int>pii;
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
int arr[500005];
struct node{
int s,e,m;
node *l,*r;
int v,lazyMax,hold;
node(int ss, int ee):s(ss),e(ee),m((s+e)>>1),v(0),lazyMax(0),hold(0){
if(s!=e){
l=new node(s,m);
r=new node(m+1,e);
v=max(l->v,r->v);
}
else v=arr[s];
}
void self_change(int x){
lazyMax=max(lazyMax,x);
hold=max(hold,v+x);
}
void forceProp(){
if(s==e) return;
l->self_change(lazyMax);
r->self_change(lazyMax);
}
void rangeUpd(int x, int y, int c){
if(x>y) return;
if(x<=s&&y>=e){
self_change(c);
return;
}
forceProp();
if(x<=m) l->rangeUpd(x,y,c);
if(y>m) r->rangeUpd(x,y,c);
hold=max(l->hold,r->hold);
}
int query(int x, int y){
if(x<=s&&y>=e) return hold;
forceProp();
if(y<=m) return l->query(x,y);
if(x>m) return r->query(x,y);
return max(l->query(x,m),r->query(m+1,y));
}
};
void solve(){
int n;
cin >> n;
for(int x=1;x<=n;x++){
cin >> arr[x];
}
vector<int>adj[n+5];
deque<int>d;
for(int x=1;x<=n;x++){
while(!d.empty()&&arr[d.back()]<arr[x]) d.pop_back();
if(!d.empty()){
adj[d.back()].push_back(x);
}
d.push_back(x);
}
d.clear();
for(int x=n;x>=1;x--){
while(!d.empty()&&arr[d.back()]<arr[x]) d.pop_back();
if(!d.empty()){
adj[x].push_back(d.back());
}
d.push_back(x);
}
node st(0,n);
int q;
cin >> q;
vector<pii>que[n+5];
int temp,temp2;
for(int x=0;x<q;x++){
cin >> temp >> temp2;
que[temp].push_back({temp2,x});
}
int ans[q];
for(int x=n;x>=1;x--){
for(auto it:adj[x]){
int hold=arr[it]+arr[x];
//show2(2*it-x,2*it-x,hold,hold);
st.rangeUpd(2*it-x,n,hold);
}
for(auto it:que[x]){
int index=it.second;
int r=it.first;
ans[index]=st.query(x,r);
}
//for(int y=1;y<=n;y++){
//cout << st.query(y,y) << " ";
//}
//cout << " st" << endl;
}
for(int x=0;x<q;x++){
cout << ans[x] << "\n";
}
}
int32_t main(){
ios::sync_with_stdio(0);
cin.tie(0);
int t=1;
//cin >> t;
while(t--){
solve();
}
}
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