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
rahul_verma:
20150826 22:59:42
nice problem !!!!!!!!


surya kiran:
20150825 16:13:28
sort the array and multiply easy one :)


chiflowmaxx:
20150822 09:05:58
do we need to sort the inputted hotness levels of man and woman ??


Rajat Varshney:
20150804 10:19:19
try CADYDIST after it same concept 

ranjeetkumar:
20150704 05:29:36
'\n' cause 4 wa...finally ac.. 

sukriti_verma:
20150630 23:59:55
Ensure sum is long enough. Last edit: 20150701 00:14:35 

iammangod96:
20150616 20:27:17
If anyone getting WA even after getting all example test cases correct and code seems to be fine then the problem is you might not be considering that rating may be 10 since the scale is from 010; 

vivek keshore:
20150527 08:47:27
Finally got AC. Silly mistake costed many WA. 

vivek keshore:
20150527 08:25:30
@Dushyant, Thank you for replying. I am using Python 2.7, so it is not required to mention any data type, as Python automatically defines and changes the datatype (int, long, float) based on its value. Array size is also correct and sorting also giving proper result. I can't figure out where it is getting wrong. Do you have any special test cases? 

Dushyant Singh:
20150526 17:36:14
@vivek keshore: Maybe your sorting is not correct or you may have taken sum as short which should be int or your array size is less than 1000. 
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 