KGSS - Maximum Sum


You are given a sequence A[1], A[2], ..., A[N] ( 0 ≤ A[i] ≤ 10^8 , 2 ≤ N ≤ 10^5 ). There are two types of operations and they are defined as follows:

Update:

This will be indicated in the input by a 'U' followed by space and then two integers i and x.

U i x, 1 ≤ i ≤ N, and x, 0 ≤ x ≤ 10^8.

This operation sets the value of A[i] to x.

Query:

This will be indicated in the input by a 'Q' followed by a single space and then two integers i and j.

Q x y, 1 ≤ x < y ≤ N.

You must find i and j such that x ≤ i, j ≤ y and i != j, such that the sum A[i]+A[j] is maximized. Print the sum A[i]+A[j].

Input

The first line of input consists of an integer N representing the length of the sequence. Next line consists of N space separated integers A[i]. Next line contains an integer Q, Q ≤ 10^5, representing the number of operations. Next Q lines contain the operations.

Output

Output the maximum sum mentioned above, in a separate line, for each Query.

Example

Input:
5
1 2 3 4 5
6
Q 2 4
Q 2 5
U 1 6
Q 1 5
U 1 7
Q 1 5

Output:
7
9
11
12

Warning: large Input/Output data, be careful with certain languages

hide comments
amar_shukla1: 2020-05-18 13:30:23

easy question,But it took me 2 hours and I understood that my implementation was shit.

abhishek_251: 2020-04-29 10:43:31

0.06

fighter_4: 2020-04-26 07:16:20

just little bit tricky,but can be done easily ,, one go ,in 0.06 :D,

pas7582128: 2019-12-26 07:47:43

This one is easiest segment tree problem. Best for newbies.

urielguz33: 2019-12-26 02:53:47

Nice problem. You can use a priority queue for getting the greatest and second greatest :)

ashik_01: 2019-12-07 08:09:27

nice one!

farazradfar125: 2019-12-03 06:27:26

AC on first try

deadly_sec: 2019-10-06 18:15:10

AC IN ONE GO.

chirayu_555: 2019-08-20 11:33:42

AC in single go..!! A must practice problem for segment trees.

nitish1603: 2019-06-24 20:01:05

AC in one go >> awsm problem learnt segment tree


Added by:Swarnaprakash
Date:2009-01-10
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:Kurukshetra 09 OPC