#include<bits/stdc++.h>
#define taskname "A"
using namespace std;
const int lim = 5e5 + 5;
const int INF = 1e9;
template<class T>void maximize(T& a, T b){
if(a < b){
a = b;
}
}
int n, q, a[lim];
namespace sub1{
void solve(){
for(int _ = 0; _ < q; _++){
int l, r, ans = 0;
cin >> l >> r;
for(int i = l; i < r; i++){
for(int j = i + 1; j < r; j++){
for(int k = r; k > j; k--){
if(k - j < j - i){
break;
}
maximize(ans, a[i] + a[j] + a[k]);
}
}
}
cout << ans << "\n";
}
}
}
namespace sub2{
void solve(){
vector<vector<int>>range_max(n + 1, vector<int>(n + 1)), dp(n + 1, vector<int>(n + 1));
for(int i = 1; i <= n; i++){
range_max[i][i] = a[i];
for(int j = i + 1; j <= n; j++){
range_max[i][j] = max(range_max[i][j - 1], a[j]);
}
}
for(int i = n; i > 2; i--){
dp[i - 2][i] = a[i] + a[i - 1] + a[i - 2];
}
for(int len = 3; len < n; len++){
for(int r = n; r > len; r--){
int l = r - len;
dp[l][r] = max(max(dp[l][r - 1], dp[l + 1][r]), a[l] + a[r] + range_max[l + 1][l + (len >> 1)]);
}
}
for(int _ = 0; _ < q; _++){
int l, r;
cin >> l >> r;
cout << dp[l][r] << "\n";
}
}
}
namespace sub3{
const int lim = 2e5 + 5;
int log_v[lim], spt[lim][18];
int get_max(int l, int r){
if(l > r){
return -1;
}
int k = log_v[r - l + 1];
return max(spt[l][k], spt[r - (1 << k) + 1][k]);
}
void solve(){
log_v[0] = -1;
for(int i = 1; i <= n; i++){
log_v[i] = log_v[i >> 1] + 1;
spt[i][0] = a[i];
}
for(int j = 1; j < 18; 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]);
}
}
vector<int>right_max(n + 1);
stack<int>st;
for(int i = n; i > 0; st.push(i--)){
while(!st.empty() && a[st.top()] < a[i]){
st.pop();
}
right_max[i] = (st.empty() ? -1 : st.top());
}
int l, r, ans = 0;
cin >> l >> r;
vector<int>suf(n + 2, -INF);
for(int i = r; i >= l; i--){
suf[i] = max(suf[i + 1], a[i]);
}
for(int i = l; i < r; i++){
int x = i + 1;
while(true){
int T = (x << 1) - i;
if(T > r){
break;
}
maximize(ans, a[i] + a[x] + suf[T]);
if(get_max(i + 1, x - 1) >= a[i]){
break;
}
if((x = right_max[x]) == -1){
break;
}
}
}
cout << ans << "\n";
}
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
if(fopen(taskname".inp", "r")){
freopen(taskname".inp", "r", stdin);
}
cin >> n;
for(int i = 1; i <= n; i++){
cin >> a[i];
}
cin >> q;
if(n <= 100 && q <= 100){
sub1::solve();
}
else if(n <= 5000){
sub2::solve();
}
else if(n <= 200000 && q == 1){
sub3::solve();
}
}
Compilation message (stderr)
jumps.cpp: In function 'int main()':
jumps.cpp:113:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
113 | freopen(taskname".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
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