/**
* author: NimaAryan
* created: 2024-01-16 23:23:10
**/
#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include "algo/debug.h"
#endif
using i64 = long long;
struct Tag {
int add = 0;
void apply(const Tag& t) {
add = max(add, t.add);
}
};
struct Info {
int val = 0;
int best = 0;
void apply(const Tag& t) {
best = max(best, val + t.add);
}
};
Info operator+(const Info& a, const Info& b) {
return {max(a.val, b.val), max(a.best, b.best)};
}
struct LazySegmentTree {
int n;
vector<Info> info;
vector<Tag> tag;
LazySegmentTree(int n) : n(n) {
info.assign(4 << __lg(n), Info());
tag.assign(4 << __lg(n), Tag());
}
void pull(int p) {
info[p] = info[2 * p] + info[2 * p + 1];
}
void apply(int p, const Tag& v) {
info[p].apply(v);
tag[p].apply(v);
}
void push(int p) {
apply(2 * p, tag[p]);
apply(2 * p + 1, tag[p]);
}
void modify(int p, int l, int r, int x, const Info& v) {
if (r - l == 1) {
info[p] = v;
return;
}
push(p);
int m = (l + r) / 2;
if (x < m) {
modify(2 * p, l, m, x, v);
} else {
modify(2 * p + 1, m, r, x, v);
}
pull(p);
}
void modify(int x, const Info& v) {
modify(1, 0, n, x, v);
}
void range_apply(int p, int l, int r, int lx, int rx, const Tag& v) {
if (l >= rx || r <= lx) {
return;
}
if (l >= lx && r <= rx) {
apply(p, v);
return;
}
push(p);
int m = (l + r) / 2;
range_apply(2 * p, l, m, lx, rx, v);
range_apply(2 * p + 1, m, r, lx, rx, v);
pull(p);
}
void range_apply(int lx, int rx, const Tag& v) {
range_apply(1, 0, n, lx, rx, v);
}
Info range_query(int p, int l, int r, int lx, int rx) {
if (l >= rx || r <= lx) {
return Info();
}
if (l >= lx && r <= rx) {
return info[p];
}
push(p);
int m = (l + r) / 2;
return range_query(2 * p, l, m, lx, rx) +
range_query(2 * p + 1, m, r, lx, rx);
}
Info range_query(int lx, int rx) {
return range_query(1, 0, n, lx, rx);
}
};
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vector<int> a(n);
for (int i = 0; i < n; ++i) {
cin >> a[i];
}
int q;
cin >> q;
vector<int> l(q), r(q);
vector<vector<int>> qs(n);
for (int i = 0; i < q; ++i) {
cin >> l[i] >> r[i];
--l[i];
qs[l[i]].push_back(i);
}
vector<int> ans(q);
LazySegmentTree seg(n);
for (int i = 0; i < n; ++i) {
seg.modify(i, {a[i], 0});
}
vector<int> stk;
for (int i = n - 1; i >= 0; --i) {
while (!stk.empty()) {
int j = stk.back();
stk.pop_back();
seg.range_apply(j + (j - i), n, Tag{a[i] + a[j]});
if (a[j] > a[i]) {
stk.push_back(j);
break;
}
}
stk.push_back(i);
for (int p : qs[i]) {
ans[p] = seg.range_query(i, r[p]).best;
}
}
for (int i = 0; i < q; ++i) {
cout << ans[i] << "\n";
}
return 0;
}
