FASHION  Fashion Shows
A fashion show rates participants according to their level of hotness. Two different fashion shows were organized, one for men and the other for women. A date for the third is yet to be decided ;) .
Now the results of both fashion shows are out. The participants of both the fashion shows have decided to date each other, but as usual they have difficuly in choosing their partners. The Maximum Match dating serive (MMDS) comes to their rescue and matches them in such a way that that maximizes the hotness bonds for all couples.
If a man has been rated at hotness level x and a women at hotness level y, the value of their hotness bond is x*y.
Both fashion shows contain N participants each. MMDS has done its job and your job is to find the sum of hotness bonds for all the couples that MMDS has proposed.
Input
The first line of the input contains an integer t, the number of test cases. t test cases follow.
Each test case consists of 3 lines:
 The first line contains a single integer N (1 <= N <= 1000).
 The second line contains N integers separated by single spaces denoting the hotness levels of the men.
 The third line contains N integers separated by single spaces denoting the hotness levels of the women.
All hotness ratings are on a scale of 0 to 10.
Output
For each test case output a single line containing a single integer denoting the sum of the hotness bonds for all pairs that MMDS has proposed.
Example
Input: 2 2 1 1 3 2 3 2 3 2 1 3 2 Output: 5 15
hide comments
raj:
20140107 11:27:58
my code runs correctly on ideone but on spoj it gives run time error i.e. SIGABRT.


Ankit Jain:
20140102 09:56:04
just work out a simple example on paper...and you will be able to deduce the logic :) 

shivam mitra:
20131229 15:59:09
what is the limit for the test cases t?? urgent required 

anonymous:
20131109 18:09:19
The phrasing is terrible. Couldn't figure without trial and error whether it is my job to find the best pairing, or it is implied that the best pairing is already given in the input. Last edit: 20131109 18:10:13 

abilash:
20130820 14:58:47
compiles and runs perfectly on code blocks and ideone, but shows wrong answer. any help??


pika_pika:
20130808 18:59:02
python WA, C++ AC but the same logic how... seen this first time.. :( 

Ranjan Kumar Singh:
20130721 06:57:30
SPOJ has not clarified the question.....actually the sum has to be maximized nd it will be accepted.....but whoever made this question is foolish....


Dragan MarkoviĆ¦:
20130621 18:22:29
You need hotter people in your sample case... 

Alien:
20130608 03:13:31
EASY1 , but question does not clarify the sorting ...for maximizing the sum 

aar:
20130607 19:38:21
MMDS has not done its job.. 
Added by:  Matthew Reeder 
Date:  20061029 
Time limit:  1s 
Source limit:  30000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  AlKhawarizm 2006 