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
nagrahari:
20190618 18:54:18
done corrctly in one go


nagrahari:
20190618 18:51:51
done corrctly in one go


shaon_debnath:
20190608 05:41:23
This question is incorrectly stated.It asks to maximize the sum. 

pyskmr:
20190531 15:44:26
this question is wrongly stated.


rushyab:
20190528 15:17:22
Last edit: 20190528 15:24:20 

hetp111:
20190412 15:47:48
too easy... 

medha_08:
20190406 15:01:17
AC in one go! 

md_meraj1319:
20190329 20:08:33
so easy... 

chaubey99:
20190316 18:12:48
The question is not stated correctly, we need to maximize the sum of hotness and not each hotness bond separately.


randomabraham:
20190313 16:12:03
"that MMDS has proposed"  this is wrong, we have to pair them first 
Added by:  Matthew Reeder 
Date:  20061029 
Time limit:  0.970s 
Source limit:  30000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  AlKhawarizm 2006 