This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// oooo
/*
har chi delet mikhad bebar ~
gitar o ba khodet nabar! ~
;Amoo_Hasan;
*/
#include<bits/stdc++.h>
//#pragma GCC optimize("O3,no-stack-protector,unroll-loops")
//#pragma GCC target("avx2,fma")
using namespace std;
typedef long long ll;
typedef long double ld;
#define Sz(x) int((x).size())
#define All(x) (x).begin(), (x).end()
#define wtf(x) cout<<#x <<" : " <<x <<endl
#define endl '\n'
constexpr ll inf = 1e18, N = 1e6 + 10, mod = 1e9 + 7, pr = 1000696969;
int a[N], lm[N], rm[N], ansl[N], ansr[N], ans[N];
pair<int, int> p[N];
vector<int> query[N], st[N];
struct node {
int ans, lz, mx = 0;
node() {
ans = lz = mx = 0;
}
} x[N << 2];
void build(int l, int r, int v) {
if(r - l < 2) {
x[v].mx = a[l];
return;
}
int mid = (l + r) >> 1;
build(l, mid, 2 * v);
build(mid, r, 2 * v + 1);
x[v].mx = max(x[2 * v].mx, x[2 * v + 1].mx);
}
void put(int l, int r, int v) {
x[2 * v].ans = max(x[2 * v].ans, x[v].lz + x[2 * v].mx);
x[2 * v].lz = max(x[2 * v].lz, x[v].lz);
x[2 * v + 1].ans = max(x[2 * v + 1].ans, x[v].lz + x[2 * v + 1].mx);
x[2 * v + 1].lz = max(x[2 * v + 1].lz, x[v].lz);
}
void change(int l, int r, int s, int e, int val, int v) {
if(r <= s || l >= e) return;
if(l >= s && r <= e) {
x[v].lz = max(x[v].lz, val);
x[v].ans = max(x[v].ans, val + x[v].mx);
return;
}
int mid = (l + r) / 2;
put(l, r, v);
change(l, mid, s, e, val, 2 * v);
change(mid, r, s, e, val, 2 * v + 1);
x[v].ans = max(x[v].lz + x[v].mx, max(x[2 * v].ans, x[2 * v + 1].ans));
}
int get(int l, int r, int s, int e, int v) {
if(r <= s || l >= e) return 0;
if(l >= s && r <= e) return x[v].ans;
put(l, r, v);
int mid = (l + r) >> 1;
return max(get(l, mid, s, e, 2 * v), get(mid, r, s, e, 2 * v + 1));
}
int main() {
ios :: sync_with_stdio(0), cin.tie(0);
int n; cin >>n;
for(int i = 0; i < n; i++) {
cin >>a[i];
}
int q; cin >>q;
for(int i = 0; i < q; i++) {
cin >>p[i].first >>p[i].second;
p[i].first--, p[i].second--;
query[p[i].first].push_back(i);
}
vector<int> vc;
for(int i = 0; i < n; i++) {
while(!vc.empty() && a[vc.back()] < a[i]) vc.pop_back();
if(vc.empty()) lm[i] = -1;
else lm[i] = vc.back();
vc.push_back(i);
}
vc.clear();
for(int i = n - 1; i >= 0; i--) {
while(!vc.empty() && a[vc.back()] < a[i]) vc.pop_back();
if(vc.empty()) rm[i] = n;
else rm[i] = vc.back();
vc.push_back(i);
}
build(0, n, 1);
for(int i = n - 1; i >= 0; i--) {
if(rm[i] != n) {
int ind = rm[i] + (rm[i] - i);
if(ind < n)
change(0, n, ind, n, a[i] + a[rm[i]], 1);
}
for(auto j : st[i]) {
change(0, n, j + (j - i), n, a[i] + a[j], 1);
}
if(lm[i] != -1) {
int ind = i + (i - lm[i]);
if(ind < n) {
st[lm[i]].push_back(i);
}
}
for(auto j : query[i]) {
ans[j] = get(0, n, p[j].first, p[j].second + 1, 1);
}
}
for(int i = 0; i < q; i++) cout<<ans[i] <<endl;
return 0;
}
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