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


hide comments
Rafa³ Leszko: 2012-08-02 23:32:20

There should be no newline at the end!
That was my problem, I kept on getting WA, because I put newline at the end.

lovelotus: 2012-07-27 18:24:25

my code works correctly here, but am getting WA... can u pls clarify the o/p format..?

got AC... had made a small fault..

Last edit: 2012-07-27 21:16:56
Hawk_3: 2012-04-20 13:06:51

take care to set counters to initial values after printing one 'impossible'!

Ashraf Samhouri: 2012-04-20 06:12:57

I've tried billion of times, @$@#% it was that i wasn't clearing the priority queue every time! :/

Pranjali Pratik: 2012-03-29 09:14:33

is there a problem with the o/p format? my code works fine but shows WA here on spoj..

Siarhei Khamenka: 2012-02-24 21:40:55

Why is it in classical set ?

nixeagle: 2011-10-31 19:07:21

Additional test case to watch out for is:

1 1
1

Where you should output
Scenario #i:
1

flareneos: 2011-10-02 20:27:16

Greedy ftw! :D

Jagat Sastry P: 2011-08-09 16:12:23

Java users using Scanner and getting TLE, instead of nextInt use nextLine and parse the line for ints.

SARIH Mohamed: 2011-07-27 09:03:22

some test cases (Scenarios):

150 6
45 12 32 65 48 25
Scenario #1:
3
500 20
65 48 52 19 32 25 65 74 85 12 36 25 99 150 42 46 4 6 7 0
Scenario #2:
6
1 5
45 18 3 2 6
Scenario #3:
1
999 5
125 451 323 169 5
Scenario #4:
4

Last edit: 2011-07-27 09:03:47

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