#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;
typedef pair<int,int> pi;
typedef pair<ll,ll> pl;
typedef pair<db,db> pd;
typedef vector<int> vi;
typedef vector<bool> vb;
typedef vector<ll> vl;
typedef vector<db> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
#define mp make_pair
#define f first
#define s second
#define sz(x) (int)(x).size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)
const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INF = 1e18;
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1};
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
template<class T> bool ckmin(T& a, const T& b) {
return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) {
return a < b ? a = b, 1 : 0; }
constexpr int pct(int x) { return __builtin_popcount(x); }
constexpr int bits(int x) { return 31-__builtin_clz(x); } // floor(log2(x))
ll cdiv(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll fdiv(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down
ll half(ll x) { return fdiv(x,2); }
template<class T, class U> T fstTrue(T lo, T hi, U f) {
// note: if (lo+hi)/2 is used instead of half(lo+hi) then this will loop infinitely when lo=hi
hi ++; assert(lo <= hi); // assuming f is increasing
while (lo < hi) { // find first index such that f is true
T mid = half(lo+hi);
f(mid) ? hi = mid : lo = mid+1;
}
return lo;
}
template<class T, class U> T lstTrue(T lo, T hi, U f) {
lo --; assert(lo <= hi); // assuming f is decreasing
while (lo < hi) { // find first index such that f is true
T mid = half(lo+hi+1);
f(mid) ? lo = mid : hi = mid-1;
}
return lo;
}
template<class T> void remDup(vector<T>& v) {
sort(all(v)); v.erase(unique(all(v)),end(v)); }
// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);
template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }
template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }
// TO_STRING
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
str ts(bool b) {
#ifdef LOCAL
return b ? "true" : "false";
#else
return ts((int)b);
#endif
}
template<class A> str ts(complex<A> c) {
stringstream ss; ss << c; return ss.str(); }
str ts(vector<bool> v) {
str res = "{"; F0R(i,sz(v)) res += char('0'+v[i]);
res += "}"; return res; }
template<size_t SZ> str ts(bitset<SZ> b) {
str res = ""; F0R(i,SZ) res += char('0'+b[i]);
return res; }
template<class A, class B> str ts(pair<A,B> p);
template<class T> str ts(T v) { // containers with begin(), end()
#ifdef LOCAL
bool fst = 1; str res = "{";
for (const auto& x: v) {
if (!fst) res += ", ";
fst = 0; res += ts(x);
}
res += "}"; return res;
#else
bool fst = 1; str res = "";
for (const auto& x: v) {
if (!fst) res += " ";
fst = 0; res += ts(x);
}
return res;
#endif
}
template<class A, class B> str ts(pair<A,B> p) {
#ifdef LOCAL
return "("+ts(p.f)+", "+ts(p.s)+")";
#else
return ts(p.f)+" "+ts(p.s);
#endif
}
// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) {
pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) {
pr(h); if (sizeof...(t)) pr(" "); ps(t...); }
// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
cerr << ts(h); if (sizeof...(t)) cerr << ", ";
DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL, chk -> fake assert
#define dbg(...) cerr << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#define chk(...) if (!(__VA_ARGS__)) cerr << "Line(" << __LINE__ << ") -> function(" \
<< __FUNCTION__ << ") -> CHK FAILED: (" << #__VA_ARGS__ << ")" << "\n", exit(0);
#else
#define dbg(...) 0
#define chk(...) 0
#endif
// FILE I/O
void setIn(str s) { freopen(s.c_str(),"r",stdin); }
void setOut(str s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { cin.tie(0)->sync_with_stdio(0); }
void setIO(str s = "") {
unsyncIO();
// cin.exceptions(cin.failbit);
// throws exception when do smth illegal
// ex. try to read letter into int
if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}
/**
* Description: 1D range increment and sum query.
* Source: USACO Counting Haybales
* Verification: SPOJ Horrible
*/
template<int SZ> struct LazySeg {
static_assert(pct(SZ) == 1); // SZ must be power of 2
const ll ID = -INF;
ll lazy[2*SZ];
pl seg[2*SZ];
ll maxval[2*SZ];
LazySeg() {
F0R(i,2*SZ){
lazy[i] = ID;
maxval[i] = 0;
seg[i] = mp(0, ID);
}
}
void push(int ind, int L, int R) { /// modify values for current node
if(maxval[ind]+lazy[ind] >= seg[ind].f+seg[ind].s){
seg[ind] = mp(maxval[ind], lazy[ind]);
}
if (L != R) F0R(i,2) ckmax(lazy[2*ind+i], lazy[ind]); /// prop to children
lazy[ind] = ID;
} // recalc values for current node
void pull(int ind) {
maxval[ind] = max(maxval[2*ind], maxval[2*ind+1]);
if(seg[2*ind].f+seg[2*ind].s >= seg[2*ind+1].f+seg[2*ind+1].s){
seg[ind] = seg[2*ind];
}
else seg[ind] = seg[2*ind+1];
}
void build(vl A) {
for(int i = 1; i < sz(A); i++){
maxval[i+SZ] = A[i];
}
ROF(i,1,SZ) pull(i);
}
void upd(int lo,int hi,ll inc,int ind=1,int L=0, int R=SZ-1) {
push(ind,L,R); if (hi < L || R < lo) return;
if (lo <= L && R <= hi) {
lazy[ind] = inc; push(ind,L,R); return; }
int M = (L+R)/2; upd(lo,hi,inc,2*ind,L,M);
upd(lo,hi,inc,2*ind+1,M+1,R); pull(ind);
}
ll query(int lo, int hi, int ind=1, int L=0, int R=SZ-1) {
push(ind,L,R); if (lo > R || L > hi) return ID;
if (lo <= L && R <= hi) return seg[ind].f+seg[ind].s;
int M = (L+R)/2;
return max(query(lo,hi,2*ind,L,M),query(lo,hi,2*ind+1,M+1,R));
}
};
const int mx = 500005;
int N;
ll A[mx];
int Q;
int L[mx];
int R[mx];
ll ans[mx];
LazySeg<524288> lseg;
int main() {
setIO();
cin >> N;
set<int> inds;
vpi vals;
vl init;
init.pb(0);
for(int i = 1; i <= N; i++){
cin >> A[i];
vals.pb(mp(A[i], i));
init.pb(A[i]);
}
lseg.build(init);
sort(vals.rbegin(), vals.rend());
vector<pair<pi, ll>> upds;
for(auto u: vals){
auto it = inds.lb(u.s);
if(it != inds.end()){
int ind = *it;
upds.pb(mp(mp(u.s, 2*ind-u.s), A[u.s]+A[ind]));
}
if(it != inds.begin()){
int ind = *(prev(it));
upds.pb(mp(mp(ind, 2*u.s-ind), A[ind]+A[u.s]));
}
inds.ins(u.s);
}
sort(upds.rbegin(), upds.rend());
cin >> Q;
vpi queries;
for(int i = 1; i <= Q; i++){
cin >> L[i] >> R[i];
queries.pb(mp(L[i], i));
}
sort(queries.rbegin(), queries.rend());
int curupd = 0;
for(auto u: queries){
int qL = L[u.s];
int qR = R[u.s];
while(curupd < sz(upds)){
if(upds[curupd].f.s > N){
curupd++;
continue;
}
if(upds[curupd].f.f < qL){
break;
}
int l = upds[curupd].f.s;
lseg.upd(l, N, upds[curupd].s);
curupd++;
}
ans[u.s] = lseg.query(qL, qR);
}
for(int i = 1; i <= Q; i++){
ps(ans[i]);
}
// you should actually read the stuff at the bottom
}
/* stuff you should look for
* int overflow, array bounds
* special cases (n=1?)
* do smth instead of nothing and stay organized
* WRITE STUFF DOWN
*/
