#include <bits/stdc++.h>
#define dbg() cerr <<
#define name(x) (#x) << ": " << (x) << ' ' <<
// dupa 7 ore printre care 3 de somn in care ma tot gandeam de ce luasem
// RTE, am ajuns la concluzia ca e din cauza stupizeniei de windows...
using namespace std;
struct SegmTree {
struct Node {
int maxv, val, lazy;
Node(int maxv_ = 0, int val_ = 0, int lazy_ = 0) :
maxv(maxv_), val(val_), lazy(lazy_) {}
// maxv = val max on [l, r] in v
// val = maximum val of jumps in [l, r]
// lazy = max val to update children with
};
int n;
vector<int> v;
vector<Node> tree;
SegmTree(const vector<int> v_) : n(v_.size()), v(v_), tree(4 * n) {
Build(0, 0, n - 1);
}
void Recalc(int node) {
tree[node].val = max(tree[2 * node + 1].val, tree[2 * node + 2].val);
}
void Build(int node, int left, int right) {
if (left == right) {
tree[node].maxv = v[left];
tree[node].val = v[left];
tree[node].lazy = 0;
return;
}
int mid = left + (right - left) / 2;
Build(2 * node + 1, left, mid);
Build(2 * node + 2, mid + 1, right);
tree[node].maxv = max(tree[2 * node + 1].maxv, tree[2 * node + 2].maxv);
Recalc(node);
}
void Propagate(int node, int len) {
if (len == 1) return;
for (int son : {2 * node + 1, 2 * node + 2}) {
tree[son].lazy = max(tree[son].lazy, tree[node].lazy);
tree[son].val = max(tree[son].val, tree[son].maxv + tree[son].lazy);
}
}
void Update(int node, int left, int right, int x, int y, int val) {
Propagate(node, right - left + 1);
if (x <= left && right <= y) {
tree[node].val = max(tree[node].val, tree[node].maxv + val);
tree[node].lazy = max(tree[node].lazy, val);
// dbg() "Am setat: " << name(left) name(right) name(tree[node].val) endl;
return;
}
int mid = left + (right - left) / 2;
if (x <= mid)
Update(2 * node + 1, left, mid, x, y, val);
if (mid < y)
Update(2 * node + 2, mid + 1, right, x, y, val);
Recalc(node);
}
int Query(int node, int left, int right, int x, int y) {
Propagate(node, right - left + 1);
if (x <= left && right <= y) {
return tree[node].val;
}
int mid = left + (right - left) / 2;
int ret = 0;
if (x <= mid)
ret = max(ret, Query(2 * node + 1, left, mid, x, y));
if (mid < y)
ret = max(ret, Query(2 * node + 2, mid + 1, right, x, y));
Recalc(node);
return ret;
}
void Update(int l, int r, int val) {
if (l > r) return;
// dbg() "U: " << name(l) name(r) name(val) endl;
Update(0, 0, n - 1, l, r, val);
}
int Query(int l, int r) {
// dbg() "Q: " << name(l) name(r) endl;
return Query(0, 0, n - 1, l, r);
}
};
vector<vector<int>> GetAdd(const vector<int> &v) {
int n = v.size();
vector<int> stk = {-1}, lft(n), rgt(n);
for (int i = 0; i < n; ++i) {
while (stk.size() > 1 && v[stk.back()] < v[i]) {
rgt[stk.back()] = i;
stk.pop_back();
}
lft[i] = stk.back();
stk.emplace_back(i);
}
while (stk.size() > 1) {
rgt[stk.back()] = n;
stk.pop_back();
}
vector<vector<int>> to_add(n);
for (int i = 0; i < n; ++i) {
if (lft[i] != -1) {
to_add[lft[i]].emplace_back(i);
}
if (rgt[i] != n) {
to_add[i].emplace_back(rgt[i]);
}
}
return to_add;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
int n; cin >> n;
vector<int> v(n);
for (int &x : v) {
cin >> x;
}
int q; cin >> q;
vector<vector<pair<int, int>>> qrs(n);
for (int i = 0; i < q; ++i) {
int l, r; cin >> l >> r; --l, --r;
qrs[l].emplace_back(r, i);
}
auto to_add = GetAdd(v);
SegmTree tree(v);
vector<int> ans(q);
for (int l = n - 1; l >= 0; --l) {
for (int &x : to_add[l]) {
tree.Update(x + x - l, n - 1, v[l] + v[x]);
}
for (auto &p : qrs[l]) {
ans[p.second] = tree.Query(l, p.first);
}
}
for (int &x : ans) {
cout << x << '\n';
}
}
