#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
#define ff first
#define ss second
#define sz(v) (int)v.size()
#define all(v) v.begin(), v.end()
#define filter(v) v.resize(unique(all(v)) - v.begin())
#define dbg(x) "[" #x " = " << (x) << "]"
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template<typename T> bool maximize(T &a, T b) {
if(a < b) {
a = b;
return true;
}else return false;
}
template<typename T> bool minimize(T &a, T b) {
if(a > b) {
a = b;
return true;
}else return false;
}
template<typename T> T rnd(T a, T b) {
return uniform_int_distribution<T>(a, b)(rng);
}
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<long long, int> pli;
typedef pair<long long, long long> pll;
typedef unsigned int uint;
const int N = 5e5 + 3;
int n, q;
uint a[N];
pii queries[N];
namespace subtask_1 {
bool valid() {
return n <= 100 && q <= 100;
}
void deeto() {
for(int t = 1; t <= q; t++) {
int l, r; tie(l, r) = queries[t];
uint answer = 0;
for(int i = l; i <= r; i++) {
for(int j = i + 1; j <= r; j++) {
for(int k = 2 * j - i; k <= r; k++) {
maximize(answer, a[i] + a[j] + a[k]);
}
}
}
cout << answer << endl;
}
}
}
namespace subtask_2 {
bool valid() {
return n <= 5e3;
}
const int N = 5e3 + 3;
const int LOG = 14;
uint spt[N][LOG];
uint dp[N][N];
uint getMax(int l, int r) {
int b = 31 - __builtin_clz(r - l + 1);
return max(spt[l][b], spt[r - (1 << b) + 1][b]);
}
void deeto() {
for(int i = 1; i <= n; i++) spt[i][0] = a[i];
for(int j = 1; j < LOG; j++) for(int i = 1; i + (1 << j) - 1 <= n; i++)
spt[i][j] = max(spt[i][j - 1], spt[i + (1 << (j - 1))][j - 1]);
for(int length = 3; length <= n; length++) {
for(int i = 1; i + length - 1 <= n; i++) {
int j = i + length - 1;
if(length == 3) dp[i][j] = 1LL * a[i] + a[j] + a[i + 1];
else {
dp[i][j] = max({
dp[i + 1][j],
dp[i][j - 1],
a[i] + a[j] + getMax(i + 1, (i + j) / 2)
});
}
}
}
for(int t = 1; t <= q; t++) {
int l, r; tie(l, r) = queries[t];
cout << dp[l][r] << endl;
}
}
}
namespace subtask_4 {
bool valid() {
return true;
}
struct Node {
uint xy, z, best;
Node (uint xy = 0, uint z = 0, uint best = 0) : xy(xy), z(z), best(best) {}
friend Node merge(Node a, Node b) {
return Node(
max(a.xy, b.xy),
max(a.z, b.z),
max({a.best, b.best, a.xy + b.z})
);
}
};
template<const int N> struct SegmentTree {
int n;
Node st[N << 2];
void init(int _n) {n = _n;}
void updateXY(int id, int l, int r, int p, uint value) {
if(l == r) {
maximize(st[id].xy, value);
maximize(st[id].best, st[id].xy + st[id].z);
return void();
}
int mid = (l + r) >> 1;
if(p <= mid) updateXY(id << 1, l, mid, p, value);
else updateXY(id << 1 | 1, mid + 1, r, p, value);
st[id] = merge(st[id << 1], st[id << 1 | 1]);
}
void updateZ(int id, int l, int r, int p, uint value) {
if(l == r) {
st[id].z = value;
st[id].best = st[id].xy + st[id].z;
return void();
}
int mid = (l + r) >> 1;
if(p <= mid) updateZ(id << 1, l, mid, p, value);
else updateZ(id << 1 | 1, mid + 1, r, p, value);
st[id] = merge(st[id << 1], st[id << 1 | 1]);
}
Node get(int id, int l, int r, int u, int v) {
if(r < u || v < l) return Node();
if(u <= l && r <= v) return st[id];
int mid = (l + r) >> 1;
return merge(get(id << 1, l, mid, u, v), get(id << 1 | 1, mid + 1, r, u, v));
}
};
uint answer[N];
SegmentTree<N> st;
vector<pii> candidates[N], ask[N];
void addCandidate(int x, int y) {
// cout << x << " " << y << endl;
if(2 * y - x <= n)
candidates[x].emplace_back(2 * y - x, a[x] + a[y]);
}
void deeto() {
stack<uint> stk;
for(int i = n; i >= 1; i--) {
while(!stk.empty() && a[stk.top()] < a[i]) {
addCandidate(i, stk.top());
stk.pop();
}
if(!stk.empty()) addCandidate(i, stk.top());
stk.push(i);
}
for(int i = 1; i <= q; i++) {
int l, r; tie(l, r) = queries[i];
ask[l].emplace_back(r, i);
}
st.init(n);
for(int i = n; i >= 1; i--) {
for(pair<int, uint> it : candidates[i])
st.updateXY(1, 1, n, it.first, it.second);
st.updateZ(1, 1, n, i, a[i]);
for(pii it : ask[i]) {
answer[it.second] = st.get(1, 1, n, i, it.first).best;
}
}
for(int i = 1; i <= q; i++) {
cout << answer[i] << endl;
}
}
}
void process() {
if(subtask_1::valid()) return subtask_1::deeto();
if(subtask_2::valid()) return subtask_2::deeto();
if(subtask_4::valid()) return subtask_4::deeto();
}
void input() {
cin >> n;
for(int i = 1; i <= n; i++) {
cin >> a[i];
}
cin >> q;
for(int i = 1; i <= q; i++) {
cin >> queries[i].first >> queries[i].second;
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
#define task "Deeto"
if(fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int testcase = 1; // cin >> testcase;
for(int i = 1; i <= testcase; i++) {
input();
process();
}
cerr << "Saa, watashtachi no deeto hajimemashou" << endl;
cerr << "Atarashii kiseki wo koko kara hajimeru shining place nee mou ichido kimi to..." << endl;
return 0;
}
/*
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*/
