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 MAXN = 500005;
const int inf = 1e9;
int vec[MAXN];
struct node{
int s, e, m, ab, c, abc, lazy;
node *l, *r;
node (int _s, int _e){
s = _s, e = _e, m = (s + e) >> 1, ab = 0, abc = 0, lazy = 0;
if (s == e) c = vec[s];
else{
l = new node(s, m);
r = new node(m + 1, e);
c = max(l->c, r->c);
}
}
void push(int v){
if (v <= ab) return;
ab = v; abc = max(abc, ab + c);
lazy = v;
}
void propo(){
if (s == e) return;
if (lazy != 0){
l->push(lazy); r->push(lazy);
lazy = 0;
}
}
void update(int x, int y, int v){
if (x > y) return;
if (x == s && y == e){
push(v); return;
}
propo();
if (y <= m) l->update(x, y, v);
else if (x > m) r->update(x, y, v);
else{
l->update(x, m, v); r->update(m + 1, y, v);
}
propo();
abc = max(l->abc, r->abc);
}
int query(int x, int y){
if (x == s && y == e) return abc;
propo();
if (y <= m) return l->query(x, y);
else if (x > m) return r->query(x, y);
else return max(l->query(x, m), r->query(m + 1, y));
}
};
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
int nums; cin >> nums;
vector<int> st;
vector<vector<int>> abp(nums + 1);
for (int i = 1; i <= nums; i++){
cin >> vec[i];
while (!st.empty() && vec[st.back()] < vec[i]){
abp[st.back()].push_back(i);
st.pop_back();
}
if (!st.empty()){
abp[st.back()].push_back(i);
if (vec[st.back()] == vec[i]) st.pop_back();
}
st.push_back(i);
}
int queries; cin >> queries;
vector<tuple<int, int, int>> qvec(queries);
vector<int> ans(queries);
for (int q = 0; q < queries; q++){
int l, r; cin >> l >> r;
qvec[q] = {l, r, q};
}
sort(qvec.begin(), qvec.end(), greater<tuple<int, int, int>>());
node *root = new node(1, nums);
int ca = nums + 1;
for (auto &[l, r, q] : qvec){
while (ca > l){
ca--;
for (int b : abp[ca]) root->update(2 * b - ca, nums, vec[ca] + vec[b]);
}
ans[q] = root->query(l, r);
}
for (int x : ans) cout << x << '\n';
}
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