RPLN - Negative Score

Orianna is a great swimmer and she's going to a swimming competition this month and needs your help as she is highly paranoic about the results of the competition.

The competition consists in some sort of evaluations, every judge makes a score and, based on that score and the score of other contestants she will get a score belonging to her results, those scores are final, meaning that will not change in the competition.

Orianna requires this solution with urgency, she is getting evaluated on a lot of ways and she is very worried about her results, so she wants to know what is the worst score from an evaluation A to other evaluation B inclusive.

Input

The first line of the test data will start with an integer T representing the T test cases, then, T cases will follow, each of the cases starts with two integers N and Q, denoting the number of evaluations Orianna had, then, N integers will follow denoting the score on each evaluation, after that, Q queries will begin, each query consist on two integers A and B.

Output

You must output the string “Scenario #i:“, a blank line and then the result of each query, remember, Orianna is interested on the worst score from evaluation A to evaluation B inclusive.

Example

Input:
2
5 3
1 2 3 4 5
1 5
1 3
2 4
5 3
1 -2 -4 3 -5
1 5
1 3
2 4

Output:
Scenario #1:
1
1
2
Scenario #2:
-5
-4
-4

Constraints

  • 1 <= T <= 100

Small input (30%):

  • 1 <= N <= 1,000
  • 1 <= Q <= 1,000
  • -10^9 <= Ni <= 10^9
  • 1 <= A <= B <= N

Large input (70%):

  • 1 <= N <= 100,000
  • 1 <= Q <= 100,000
  • -10^9 <= Ni <= 10^9
  • 1 <= A <= B <= N

Solutions rejudged due to weak test cases.


Added by:david_8k
Date:2012-06-22
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Own Problem used for the RPL contest

hide comments
2016-05-19 21:39:11 gohanssj9
So segment tree and fast i/o gives me 0.78s, Any idea on how to reduce this time?
2016-01-18 13:42:44
just use an unordered_map for the segtree, and ios::sync_with_stdio(0) for fast i/o
2015-11-11 09:55:13
really good problem...
segmented tree :-)
2015-09-03 22:42:23 SANDEEP KUMAR
Took all array sizes in 10^5,got AC(1.22s) using sparse table and using scanf and printf.
2014-10-17 13:11:52 Luis Manuel D�az Bar�n
Solved using RMQ Sparse Table.
2014-07-29 15:43:55 ||N0VICE||
first problem solved using segment trees :)
use of scanf,printf is recommended

Last edit: 2014-07-29 15:44:31
2013-11-18 18:13:49 aristofanis
@RAHUL, @Krypt Pen, I think that WA is sent after your program is tested is all test cases, so you cannot be sure that it is failing at the 9th test case...
2013-09-19 06:17:59 Gitu
The question taught me that (l+r)/2 is calculated slower than (l+r)>>1
2013-08-30 10:34:57 Smit Mehta
Use fast I/O for 9th case.
2013-08-15 03:07:59 govihuu
same algorithm C++ accepted, python runtime error (NZEC). I think input isn't orderliness.
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