STAMPS - Stamps

Everybody hates Raymond. He’s the largest stamp collector on planet earth and because of that he always makes fun of all the others at the stamp collector parties. Fortunately everybody loves Lucy, and she has a plan. She secretly asks her friends whether they could lend her some stamps, so that she can embarrass Raymond by showing an even larger collection than his. Raymond is so sure about his superiority that he always tells how many stamps he’ll show. And since Lucy knows how many she owns, she knows how many more she needs. She also knows how many friends would lend her some stamps and how many each would lend. But she’s like to borrow from as few friends as possible and if she needs too many then she’d rather not do it at all. Can you tell her the minimum number of friends she needs to borrow from?

Input

The first line contains the number of scenarios. Each scenario describes one collectors party and its first line tells you how many stamps (from 1 to 1000000) Lucy needs to borrow and how many friends (from 1 to 1000) offer her some stamps. In a second line you’ll get the number of stamps (from 1 to 10000) each of her friends is offering.

Output

The output for every scenario begins with a line containing “Scenario #i:”, where i is the number of the scenario starting at 1. Then print a single line with the minimum number of friends Lucy needs to borrow stamps from. If it’s impossible even if she borrows everything from everybody, write impossible. Terminate the output for the scenario with a blank line.

Example

Input:
3
100 6
13 17 42 9 23 57
99 6
13 17 42 9 23 57
1000 3
314 159 265

Output:
Scenario #1:
3

Scenario #2:
2

Scenario #3:
impossible


Added by:Daniel Gómez Didier
Date:2008-11-17
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO
Resource:2007 - Circuito de Maratones ACIS / REDIS

hide comments
2013-04-15 02:47:04 Risyanggi Azmi Faizin
useless formatting

edit>> sorry for repost, but it really does

Last edit: 2013-04-15 02:48:11
2013-03-23 11:00:02 Nishant Gupta
AC at first attempt
2013-02-15 23:10:01 :D
I'm pretty sure you're not. I checked and regular judge is used. That means whitespaces are ignored and only non-white sequences from output compared.
2013-02-15 22:18:39 reggaeguitar
Please get rid of the useless formatting, I'm pretty sure that's why I keep getting WA
2013-01-23 11:58:08 game24s
TLE
2012-12-29 05:49:30 Akb
not printing a blank line b/w testcases and printing "Impossible" costed 5 WAs.... :D
2012-11-03 06:14:00 Aniket Kumar
useless formatting ....


Last edit: 2012-11-03 06:15:22
2012-09-19 21:01:23 Ankit Chaudhary
what is the need of such formatted output??????
2012-09-01 06:14:14 anuj kumar
Got WA coz of a mere :...
@problem setters why u increase useless complexity in the problems by adding useless formatting in the output....
2012-08-28 15:58:32 kamalesh
got AC at first attempt itself...
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