CADYDIST  Candy Distribution
Alice is a teacher that loves her students. As the school year reaches its end, she wants to reward all her students with candies for all their hard work.
Since each of her classes is unique, she decided she’ll give a different kind of candy for each class, and in order to avoid students being mad at others in their class, she wants to make things fair by giving all students in the same class the same kind of candy.
Happily, she went to the candy shop, and fortunately found out that it had N different types of candy, exactly the same number of classes of students she taught!
Looking at the prices and paying close attention to the number of students in each class, Alice noted that she could save some money by assigning the types of candy to certain classes. Because she’s a teacher, her income is not that big and saving money is very important to her, so she asked you to write a program to determine the least amount of money she must spend.
Input
Each test case consists of three lines. The first line contains a positive integer N (1 ≤ N ≤ 100000). The second line contains N integers C_{i}, the i^{th} integer indicates the number of students in Alice’s ith class. The third and last line also contains N integers P_{i} the i^{th} integer indicates the price of the i^{th} type of candy (1 ≤ C_{i}, P_{i} ≤ 100000).
The input ends with a line consisting of a 0, which indicates end of input.
Output
For each test case, output a line containing the least amount of money Alice must spend.
Example
Input: 4
1 1 1 1
2 2 2 2
5
10 80 37 22 109
6 8 8 20 15
0 Output: 8
2120
hide comments
kass_97:
20170114 18:33:36
Simple sorting, take unsigned long values and do the magic......killed it in 0.07 sec 

Rajat Sharma:
20160717 20:50:51
Java : used long and Buffered reader. figured in hours


vaibhav138:
20160626 03:02:43
Use array of long long int,


Francky:
20160624 15:10:23
Constraints are correct, if you think they're not, then you need to learn why your WA code got WA !!!


vineetpratik:
20160624 14:30:47
the constraints in this question are wrong, YOU HAVE BEEN WARNED!


suraj:
20160619 10:31:36
use long long int for each type 

aru_674:
20160606 18:46:07
why do they give wrong constraints......ci and pi are to be taken long long 

mkfeuhrer:
20160530 17:56:17
long long ...... stl :) AC in one go :) 

rayhan50001:
20160428 20:53:07
use long long it cost me 2 WA,, simple sort as & des & normal multiplication. 

pvsmpraveen:
20160202 14:58:48
simple STL :) 
Added by:  Paulo Costa 
Date:  20120119 
Time limit:  0.301s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All 
Resource:  ITA  Brazilian ICPC Training Camp, JanFeb/2012 