## 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
 surya kiran: 2015-08-25 16:13:28 sort the array and multiply easy one :) chiflowmaxx: 2015-08-22 09:05:58 do we need to sort the inputted hotness levels of man and woman ?? in the question it was given that mmds has already sorted them na ....we just have to find thier corresponding products and add them....... Rajat Varshney: 2015-08-04 10:19:19 try CADYDIST after it same concept ranjeetkumar: 2015-07-04 05:29:36 '\n' cause 4 wa...finally ac.. sukriti_verma: 2015-06-30 23:59:55 Ensure sum is long enough. Last edit: 2015-07-01 00:14:35 iammangod96: 2015-06-16 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 0-10; vivek keshore: 2015-05-27 08:47:27 Finally got AC. Silly mistake costed many WA. vivek keshore: 2015-05-27 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: 2015-05-26 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. vivek keshore: 2015-05-26 13:43:11 I am sorting both men and women hotness levels, and then adding the multiplication of hotness. Still wrong answer. What am I missing?

 Added by: Matthew Reeder Date: 2006-10-29 Time limit: 1s Source limit: 30000B Memory limit: 1536MB Cluster: Cube (Intel G860) Languages: All except: ERL JS-RHINO NODEJS PERL6 VB.NET Resource: Al-Khawarizm 2006