#include<bits/stdc++.h>
#define int long long
#define ii pair<int, int>
using namespace std;
const int N = 5e5 + 5,
          oo = 1e16;
int n, q;
int a[N];
vector<ii> query[N];
struct Node {
  int ab, c, opt;
};
void maximize(int &x, int y) { x = max(x, y); }
struct SegmentTree {
  Node T[N << 2];
  int lz[N << 2];
  void build(int s, int l, int r) {
    if(l == r) {
      T[s] = {-oo, a[l], -oo};
      return;
    }
    int mid = l + r >> 1;
    build(s << 1, l, mid); build(s << 1 | 1, mid + 1, r);
    T[s].c = max(T[s << 1].c, T[s << 1 | 1].c);
    T[s].ab = T[s].opt = -oo;
  }
  void push(int s, int l, int r) {
    if(lz[s] == 0) return;
    int x = lz[s]; lz[s] = 0;
    maximize(T[s << 1].ab, x); maximize(T[s << 1 | 1].ab, x);
    maximize(T[s << 1].opt, x + T[s << 1].c); maximize(T[s << 1 | 1].opt, x + T[s << 1 | 1].c);
    maximize(lz[s << 1], x); maximize(lz[s << 1 | 1], x);
  }
  void upd(int s, int l, int r, int u, int v, int x) {
    if(r < u || l > v) return;
    if(l >= u && r <= v) {
      T[s].ab = max(T[s].ab, x);
      T[s].opt = max(T[s].opt, T[s].c + x);
      lz[s] = max(lz[s], x);
      return;
    }
    int mid = l + r >> 1;
    push(s, l, r);
    upd(s << 1, l, mid, u, v, x); upd(s << 1 | 1, mid + 1, r, u, v, x);
    T[s].ab = max(T[s << 1].ab, T[s << 1 | 1].ab);
    T[s].c = max(T[s << 1].c, T[s << 1 | 1].c);
    T[s].opt = max(T[s << 1].opt, T[s << 1 | 1].opt);
  }
  int get(int s, int l, int r, int u, int v) {
    if(r < u || l > v) return -oo;
    if(l >= u && r <= v) return T[s].opt;
    int mid = l + r >> 1;
    push(s, l, r);
    return max(get(s << 1, l, mid, u, v), get(s << 1 | 1, mid + 1, r, u, v));
  }
} it;
int32_t main() {
  cin.tie(0)->sync_with_stdio(0);
  if(fopen("task.inp", "r")) {
    freopen("task.inp", "r", stdin);
    freopen("task.out", "w", stdout);
  }
  cin >> n;
  for(int i = 1; i <= n; ++i) cin >> a[i];
  it.build(1, 1, n);
  cin >> q;
  for(int i = 1; i <= q; ++i) {
    int l, r; cin >> l >> r;
    query[l].emplace_back(r, i);
  }
  auto update = [&](int i, int j) {
    int value = a[i] + a[j];
    it.upd(1, 1, n, 2 * j - i, n, value);
  };
  stack<int> st;
  vector<int> ans(q + 1);
  for(int i = n; i; --i) {
    while(st.size() && a[st.top()] <= a[i]) update(i, st.top()), st.pop();
    if(st.size()) update(i, st.top());
    for(auto [r, idx] : query[i]) ans[idx] = it.get(1, 1, n, i, r);
    st.push(i);
  }
  for(int i = 1; i <= q; ++i) cout << ans[i] << '\n';
}
Compilation message (stderr)
jumps.cpp: In function 'int32_t main()':
jumps.cpp:73:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   73 |     freopen("task.inp", "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
jumps.cpp:74:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   74 |     freopen("task.out", "w", stdout);
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