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
pk:
20150515 12:23:37
AC in one go.. :) 

Gustav:
20150424 16:04:49
The description is misguiding.


hareesh:
20150409 06:32:17
Go for Hashing Last edit: 20150409 07:58:07 

shatakshi:
20150408 08:19:34
My solution is giving TLE when using sort function and bubble sort. Please help. 

Justin Roberts:
20150402 00:36:05
I feel embarrassed that I was hindered by the pitfall that the other Python users seem to have been. Probably wouldn't have happened if I hadn't been lazy and had made my own sort method. 

tushar aggarwal:
20150319 12:16:55
easy one 

sarkarshuvojit:
20150307 23:40:27
MMDS's irresponsible actions costed me a WA _


arjunmayilvaganan:
20150213 12:54:58
"MMDS has done its job..."


eren_coding:
20150202 00:16:46
doesnt work for python


gohanssj9:
20150115 20:42:07
AC in one go!

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 