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>
using namespace std;
#define pb push_back
#define int long long
#define sz(a) (int)a.size()
using ar2 = array<int,2>;
const int N = (int)1e6+10;
const int INF = (int)1e18;
int n, q, a[N], ans[N];
vector<ar2> v[N], Q[N];
stack<int> S;
struct Data{ int mxSm, mxA, ans;} seg[2*N];
Data comb(Data a, Data b){
Data c;
c.mxSm = max(a.mxSm, b.mxSm);
c.mxA = max(a.mxA, b.mxA);
c.ans = max({a.ans,b.ans,a.mxSm+b.mxA});
return c;
}
void upd(int x, int v, int p=0, int l=1, int r=n){
if(l==r){
seg[p].mxSm = max(seg[p].mxSm, v);
seg[p].mxA = max(seg[p].mxA,a[x]);
seg[p].ans = seg[p].mxSm+seg[p].mxA;
return;
}
int mid = (l+r)/2; int rp = p+2*(mid-l+1);
if(x<=mid) upd(x,v,p+1,l,mid);
else upd(x,v,rp,mid+1,r);
seg[p] = comb(seg[p+1],seg[rp]);
}
Data query(int i, int j, int p=0, int l=1, int r=n){
if(i>r or j<l or i>j) return {-INF,-INF,-INF};
if(i<=l and r<=j) return seg[p];
int mid = (l+r)/2; int rp = p+2*(mid-l+1);
return comb(query(i,j,p+1,l,mid),query(i,j,rp,mid+1,r));
}
int32_t main(){
cin >> n;
for(int i = 1; i <= n; i++) cin >> a[i];
for(int i = n,j; i >= 1; i--){
while(sz(S) and a[S.top()]<a[i])
j = S.top(), v[i].pb({j,a[i]+a[j]}),S.pop();
if(sz(S)) j = S.top(), v[i].pb({j,a[i]+a[j]});
S.push(i);
}
cin >> q;
for(int l,r,i=1; i <= q; i++)
cin >> l >> r, Q[l].pb({r,i});
for(int i = n; i >= 1; i--){
for(auto [j,sum] : v[i]) if(2*j-i<=n) upd(2*j-i,sum);
for(auto [j,ind] : Q[i]) ans[ind] = query(i,j).ans;
}
for(int i = 1; i <= q; i++) cout << ans[i] << "\n";
}
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