This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma optimize("Ofast")
//#pragma optimize("unroll-loops")
//#pragma traget("avx,avx2")
#include <iostream>
#include <cmath>
#include <algorithm>
#include <stdio.h>
#include <cstdint>
#include <cstring>
#include <string>
#include <cstdlib>
#include <vector>
#include <bitset>
#include <map>
#include <queue>
#include <ctime>
#include <stack>
#include <set>
#include <list>
#include <random>
#include <deque>
#include <functional>
#include <iomanip>
#include <sstream>
#include <fstream>
#include <complex>
#include <numeric>
#include <cassert>
#include <array>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <thread>
typedef long long ll;
typedef long double ld;
#define el '\n'
#define ff first
#define ss second
#define pb push_back
#define pf push_front
#define popb pop_back
#define popf pop_front
#define point pair <ll, ll>
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
using namespace std;
const ll INF = 2e18 + 10;
const ll inf = 2e9 + 10;
const ll N = 5e5 + 10;
const ll mod = 1e9 + 7;
const ll K = 200;
const ll LOG = 16;
ll a[N], t[4 * N], lazy[4 * N], mx[4 * N], ans[N];
vector <point> Q[N];
vector <ll> gr[N];
void build(ll v, ll tl, ll tr) {
if (tl == tr) {
t[v] = a[tl];
mx[v] = -INF;
return;
}
ll tm = (tl + tr) >> 1;
build(v << 1, tl, tm);
build(v << 1 | 1, tm + 1, tr);
t[v] = max(t[v << 1], t[v << 1 | 1]);
mx[v] = -INF;
}
void push(ll v) {
mx[v << 1] = max(mx[v << 1], t[v << 1] + lazy[v]);
mx[v << 1 | 1] = max(mx[v << 1 | 1], t[v << 1 | 1] + lazy[v]);
lazy[v << 1] = max(lazy[v << 1], lazy[v]);
lazy[v << 1 | 1] = max(lazy[v << 1 | 1], lazy[v]);
lazy[v] = 0;
}
void upd(ll v, ll tl, ll tr, ll l, ll r, ll val) {
if (l > tr || r < tl || r < l)
return;
if (l <= tl && r >= tr) {
mx[v] = max(mx[v], t[v] + val);
lazy[v] = val;
return;
}
push(v);
ll tm = (tl + tr) >> 1;
upd(v << 1, tl, tm, l, r, val);
upd(v << 1 | 1, tm + 1, tr, l, r, val);
mx[v] = max(mx[v << 1], mx[v << 1 | 1]);
}
ll get(ll v, ll tl, ll tr, ll l, ll r) {
if (l > tr || r < tl || r < l)
return -INF;
if (l <= tl && r >= tr)
return mx[v];
push(v);
ll tm = (tl + tr) >> 1;
return max(get(v << 1, tl, tm, l, r),
get(v << 1 | 1, tm + 1, tr, l, r));
}
void solve() {
ll n;
cin >> n;
for (ll i = 1; i <= n; i++)
cin >> a[i];
build(1, 1, n);
ll q;
cin >> q;
for (ll i = 0; i < q; i++) {
ll l, r;
cin >> l >> r;
Q[l].pb({r, i});
}
stack <ll> st;
for (ll i = 1; i <= n; i++) {
while (!st.empty() && a[st.top()] < a[i]) {
gr[st.top()].pb(i);
st.pop();
}
if (!st.empty())
gr[st.top()].pb(i);
st.push(i);
}
for (ll i = n; i >= 1; i--) {
for (ll v : gr[i])
upd(1, 1, n, v + v - i, n, a[i] + a[v]);
for (point cur : Q[i])
ans[cur.ss] = get(1, 1, n, i, cur.ff);
}
for (ll i = 0; i < q; i++)
cout << ans[i] << el;
return;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int tests = 1;
//cin >> tests;
while (tests--)
solve();
return 0;
}
/*
*/
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