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.


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.


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.


1 1
3 2
2 3 2
1 3 2


hide comments
arpitscoding: 2016-08-26 19:34:08

SORRRTTTTT!!! Then multiply.

Sarvajeet Suman: 2016-07-31 15:09:59

Rearrangement_inequality, That's all you need.

hassanarif63: 2016-06-10 06:52:00

AC_in _1_go

get_right_jr: 2016-06-07 14:41:21

the EASIEST problem I've ever solved!!!

code0monkey1: 2016-06-06 23:52:15

Apparently the Maximum Match dating serive (MMDS) has not done it's job properly , so you need to sort them according to hotness yourself

manish3749: 2016-05-23 11:54:24

just cozz this prblm is related to hot models, u will put it into classic, dude its the easiest tht i have ever solved in spoj

sayedathar11: 2016-05-05 17:57:57

apart for sorting arrays pay careful attention to constraints of array size got 2 wa's because of that :)

shirish_heller: 2016-05-03 08:49:03

but its written that MMDS has done its job...i should not sort arrays then..rt?

rayhan50001: 2016-04-28 21:47:08

simple problem... AC in 1st Go

Christian López: 2016-04-19 20:36:27

Mi solución número 20.

Last edit: 2016-04-19 20:36:50

Added by:Matthew Reeder
Time limit:0.970s
Source limit:30000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS NODEJS PERL 6
Resource:Al-Khawarizm 2006