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
gautam:
20160403 14:09:39
too easy..ac in one go ;) 

adi_tdkr:
20160403 08:52:22
Sort the array first and then multiply corresponding numbers


ghost_wire:
20160209 19:48:49
can anyone please provide more test case ? 

mayanksat:
20160131 10:14:17
First question with AC in first attempt, you do need to sort the arrays.


thevillager:
20160120 12:08:54
To Max. hotness bond, you first need to sort the arrays. You'll get the correct output from the examples but while submitting you'll get a WA because of that. 

oo7rm:
20151229 19:44:07
sort the arrays first 

vish@1:
20151220 20:37:59
why didn't they mention that MMDS failed in performing its job.. 

HEMANTH SAVASERE:
20151219 12:28:27
Men are cool !!! 

rocode0001:
20151205 15:59:38
Too simple...not worth to be in classical section!!!! 

divyesh_98:
20151112 15:37:20
For people wondering if they have to sort the input or not: MMDS failed at its job so you have to do their job and sort the input. 
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 