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
metalmachine13:
20200326 13:40:19
No one cares about your AC in one go 

shifalitayal:
20200319 07:30:50
easy...priority queue can also be used... 

mukulstriker:
20200318 04:52:36
test casse is passing but WA is showing


srt100:
20200225 06:28:13
AC in one GO!! 

iitmind:
20200108 18:00:51
Wrong statement Last edit: 20200108 18:02:44 

saurabh_negi:
20191226 14:42:44
MMDS hasn't done the job properly. So, now you gotta finish that work. Last edit: 20191226 14:43:18 

thiyagumessi:
20191208 18:01:23
Thank you realme72 and @mrmajumder 

bohot_hard_123:
20191207 11:54:16
finally i am able to write AC in one go . yesss 

realme72:
20191110 07:12:40
sort the hotness of men and women.


mrmajumder:
20191108 14:54:28
DON'T TRUST MMDS

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 