KOPC12A  K12  Building Construction
Given N buildings of height h1,h2,h3...hn, the objective is to make every building has equal height. This can be done by removing bricks from a building or adding some bricks to a building.Removing a brick or adding a brick is done at certain cost which will be given along with the heights of the buildings.Find the minimal cost at which you can make the buildings look beautiful by reconstructing the buildings such that the N buildings satisfy
h1=h2=h3=..=hn=k ( k can be any number).
For convenience, all buildings are considered to be vertical piles of bricks, which are of same dimensions.
Input
The first line of input contains an integer T which denotes number of test cases .This will be followed by 3*T lines , 3 lines per test case. The first line of each test case contains an integer n and the second line contains n integers which denotes the heights of the buildings [h1,h2,h3....hn] and the third line contains n integers [c1,c2,c3...cn] which denotes the cost of adding or removing one unit of brick from the corresponding building.
T<=15;n<=10000;0<=Hi<=10000;0<=Ci<=10000;
Output
The output must contain T lines each line corresponding to a testcase.
Example
Input:
1 3 1 2 3 10 100 1000 Output:
120
hide comments
SUBHAJIT GORAI:
20160316 08:12:57
elegant O(n) solution ...no need of binary or ternary search 

Deepak :
20160303 21:21:35
ternary search.. :) 

sharif ullah:
20160218 21:22:40
re constructing !!!!!!!!!!!!!


mkmostafa:
20150824 00:43:42
two words: ternary search 

ANKIT TAPARIA:
20150624 18:55:29
Easy using binary search!!! 

jonty007:
20150205 11:58:16
2


lucky:
20141227 15:12:29
what is the order of this??? 

Ayush Vatsa:
20141020 21:09:59
learnt a lot....nice question


zicowa:
20140627 18:39:51
i think it would be a good problem if constraints are well assigned these two statements are non meaningfull to my senses H==0 and cost==0 :( 

Alex Abbas:
20140320 04:29:57
I actually enjoyed solving this, we need more original problems like this..

Added by:  Radhakrishnan Venkataramani 
Date:  20120131 
Time limit:  0.139s0.665s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All 
Resource:  Own 