This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define ll long long
#define fi first
#define se second
#define sz(x) (int)x.size()
#define ALL(v) v.begin(),v.end()
#define MASK(k) (1LL << (k))
#define BIT(x, i) (((x) >> (i)) & 1)
#define oo (ll)1e18
#define INF (ll)1e9
#define MOD (ll)(1e9 + 7)
using namespace std;
template<class T1, class T2>
bool maximize(T1 &a, T2 b){if(a < b){a = b; return true;} return false;}
template<class T1, class T2>
bool minimize(T1 &a, T2 b){if(a > b){a = b; return true;} return false;}
template<class T1, class T2>
void add(T1 &a, T2 b){a += b; if(a >= MOD) a -= MOD;}
template<class T1, class T2>
void sub(T1 &a, T2 b){a -= b; if(a < 0) a += MOD;}
template<class T>
void cps(T &v){sort(ALL(v)); v.resize(unique(ALL(v)) - v.begin());}
struct seg{
vector<ll> a, b, laz;
int n;
seg(int _n = 0){
n = _n;
a.resize(n * 4 + 3, 0);
b.resize(n * 4 + 3, 0);
laz.resize(n * 4 + 3, 0);
}
void build(int val[], int i, int l, int r){
if(l == r){
a[i] = val[l];
b[i] = val[l];
return;
}
int m = (l + r) >> 1;
build(val, i * 2, l, m);
build(val, i * 2 + 1, m + 1, r);
a[i] = max(a[i * 2], a[i * 2 + 1]);
b[i] = max(b[i * 2], b[i * 2 + 1]);
}
void push(int i){
maximize(laz[i * 2], laz[i]);
maximize(laz[i * 2 + 1], laz[i]);
maximize(b[i * 2], a[i * 2] + laz[i]);
maximize(b[i * 2 + 1], a[i * 2 + 1] + laz[i]);
}
void upd(int i, int l, int r, int u, int v, ll c){
if(r < u || v < l) return;
if(u <= l && r <= v){
maximize(laz[i], c);
maximize(b[i], a[i] + c);
return;
}
push(i);
int m = (l + r) >> 1;
upd(i * 2, l, m, u, v, c);
upd(i * 2 + 1, m + 1, r, u, v, c);
b[i] = max(b[i * 2], b[i * 2 + 1]);
}
ll get(int i, int l, int r, int u, int v){
if(r < u || v < l) return 0;
if(u <= l && r <= v) return b[i];
push(i);
int m = (l + r) >> 1;
return max(get(i * 2, l, m, u, v), get(i * 2 + 1, m + 1, r, u, v));
}
};
const int MAX = 5e5 + 10;
int N, Q;
int a[MAX];
ll ans[MAX];
vector<int> change[MAX];
vector<pair<int, int>> ask[MAX];
void solve(){
cin >> N;
for(int i=1; i<=N; i++){
cin >> a[i];
}
seg it(N);
it.build(a, 1, 1, N);
stack<int> st;
for(int i=N; i>=1; i--){
while(sz(st)){
change[i].push_back(st.top());
if(a[st.top()] > a[i]) break;
st.pop();
}
st.push(i);
}
cin >> Q;
for(int i=1; i<=Q; i++){
int l, r;
cin >> l >> r;
ask[l].push_back({r, i});
}
for(int i=N; i>=1; i--){
for(int x: change[i]){
if(x * 2 - i <= N){
it.upd(1, 1, N, x * 2 - i, N, a[i] + a[x]);
}
}
for(auto o: ask[i]){
ans[o.se] = it.get(1, 1, N, i, o.fi);
}
}
for(int i=1; i<=Q; i++){
cout << ans[i] << '\n';
}
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
// freopen("task.inp", "r", stdin);
// freopen("task.out", "w", stdout);
int t = 1;
// cin >> t;
while(t--){
solve();
}
return 0;
}
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