#include<bits/stdc++.h>
using namespace std;
using ll = int;
using ld = long double;
const ll N = 5e5 + 5;
const ll mod = 1e9 + 7;
#define bit(x,y) ((x >> y) & 1)
ll a[N];
struct segtree
{
ll n;
ll b[N * 4];
ll c[N * 4];
ll d[N * 4];
ll lz[N * 4];
void build(ll n)
{
this->n = n;
build(0,1,n);
}
void build(ll x, ll l, ll r)
{
if(l == r)
{
b[x] = a[l];
}else
{
ll mid = (l + r) / 2;
build(x * 2 + 1,l,mid);
build(x * 2 + 2,mid + 1,r);
b[x] = max(b[x * 2 + 1],b[x * 2 + 2]);
}
}
void udt(ll l, ll r, ll v)
{
udt(0,1,n,l,r,v);
}
void push(ll x)
{
if(lz[x] == 0) return;
ll x1 = x * 2 + 1;
ll x2 = x1 + 1;
ll v = lz[x];
lz[x] = 0;
c[x1] = max(c[x1],v);
d[x1] = max(d[x1],b[x1] + c[x1]);
c[x2] = max(c[x2],v);
d[x2] = max(d[x2],b[x2] + c[x2]);
lz[x1] = max(lz[x1],v);
lz[x2] = max(lz[x2],v);
}
void udt(ll x, ll l, ll r, ll s, ll e, ll v)
{
if(e < l || r < s) return;
if(s <= l && r <= e)
{
c[x] = max(c[x],v);
d[x] = max(d[x],c[x] + b[x]);
lz[x] = max(lz[x],v);
return;
}
ll mid = (l + r) / 2;
push(x);
udt(x * 2 + 1,l,mid,s,e,v);
udt(x * 2 + 2,mid + 1,r,s,e,v);
d[x] = max(d[x * 2 + 1],d[x * 2 + 2]);
}
ll get(ll l, ll r)
{
return get(0,1,n,l,r);
}
ll get(ll x, ll l, ll r, ll s, ll e)
{
if(e < l || r < s) return 0;
if(s <= l && r <= e) return d[x];
ll mid = (l + r) / 2;
push(x);
return max(get(x * 2 + 1,l,mid,s,e),get(x * 2 + 2,mid + 1,r,s,e));
}
};
segtree f;
vector<ll> b[N];
vector<pair<ll,ll>> qr[N];
vector<pair<ll,ll>> haha[N];
ll ans[N];
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
ll n,q;
ll i,j;
cin >> n;
for(i = 1;i <= n;i++) cin >> a[i];
stack<ll> st;
for(i = 1;i <= n;i++)
{
while(!st.empty() && a[st.top()] <= a[i])
{
b[i].push_back(st.top());
st.pop();
}
if(!st.empty()) b[i].push_back(st.top());
st.push(i);
}
f.build(n);
cin >> q;
for(i = 1;i <= q;i++)
{
ll l,r;
cin >> l >> r;
qr[l].push_back({r,i});
}
for(i = 1;i <= n;i++)
{
for(auto t : b[i])
{
ll t2 = 2 * i - t;
if(t2 <= n) haha[t].push_back({t2,a[i] + a[t]});
}
}
for(i = n;i >= 1;i--)
{
for(auto tmp : haha[i])
{
f.udt(tmp.first,n,tmp.second);
}
for(auto tmp : qr[i])
{
ans[tmp.second] = f.get(i,tmp.first);
}
}
for(i = 1;i <= q;i++) cout << ans[i] << "\n";
}
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