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

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

hide comments
2012-07-22 10:15:06 RAaTS
plzz help me.............as my solution giving correct answers to all the test cases........my question id is 7356883
2012-07-05 01:34:30 StupidGuy
MergeSort worked fine here :)
2012-04-07 09:19:13 Aradhya
:O what the f.. by bubble sort it gotAC.. and by my heap sort it gives wrong answer
2012-02-08 23:22:08 Hélder Moreira
http://ideone.com/snip
I used this but for some reason it says wrong answer. Any help?

Last edit: 2022-06-23 20:52:55
2012-02-04 20:55:50 Ajay Gupta
can i have some more test cases pls...i'm getting it correct on my machine but shows
sigsegv error
help pls!!!
2011-12-06 10:00:18 Baskara Nur Patria
please give me some test case, runs well on my computer, but still getting WA
2011-04-04 04:50:52 Mark Fulbright
Yes, you must maximize the sum of the hotness bonds for the couples by changing the pairs if necessary.
© Spoj.com. All Rights Reserved. Spoj uses Sphere Engine™ © by Sphere Research Labs.