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
rohit_mahale: 2019-10-07 06:28:56

Ac in one go

pankajnegi_113: 2019-09-27 17:56:09

AC in one GO !

ashu0404: 2019-09-01 18:14:53

Question is poorly formatted. It says that MMDS has done its job and our task is to calculate the sum of hotness of couples that MMDS has paired but in actual, we have to form such pairs so that the sum of hotness of all pairs becomes maximum.

emtiaz_001: 2019-08-23 09:55:18

Ac in first go!!!!!!!!

rikilg: 2019-07-18 13:24:15

AC in one go

umop_apisdn: 2019-07-16 07:28:15

This question is still very ambiguous. Although it states that " MMDS has done its job and your job is to find the sum of hotness bonds for all the couples that MMDS has proposed.", you are expected to form the pairings yourself and find the sum of the bonds for these pairings.

So for example, if you have:
males: 5, 1, 3
females: 7, 8, 6

You are not just calculating the sums of the pairs in order of input.

utkarsh_2010: 2019-07-09 10:13:21

AC in one go

imambungo: 2019-07-04 04:41:58

It seems like MMDS wasn't done their job properly.

vurise18: 2019-06-26 19:43:45

idk, getting a sigsegv error.

akasaransh: 2019-06-26 10:35:55

"AC in one go!!"


Added by:Matthew Reeder
Date:2006-10-29
Time limit:0.970s
Source limit:30000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:Al-Khawarizm 2006