SPOJ Problem Set (classical) 1043. Can you answer these queries I Problem code: GSS1

You are given a sequence A[1], A[2], ..., A[N] . ( |A[i]| ≤ 15007 , 1 ≤ N ≤ 50000 ). A query is defined as follows:
Query(x,y) = Max { a[i]+a[i+1]+...+a[j] ; x ≤ i ≤ j ≤ y }.
Given M queries, your program must output the results of these queries.

Input

• The first line of the input file contains the integer N.
• In the second line, N numbers follow.
• The third line contains the integer M.
• M lines follow, where line i contains 2 numbers xi and yi.

Output

Your program should output the results of the M queries, one query per line.

Example

Input:
3 
-1 2 3
1
1 2
Output:
2

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Added by:	Nguyen Dinh Tu
Date:	2006-11-01
Time limit:	1s-2s
Source limit:	5000B
Languages:	All except: CLOJ ERL F# JS PERL 6 TECS