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 Ci, the ith integer indicates the number of students in Alice’s i-th class. The third and last line also contains N integers Pi the ith integer indicates the price of the ith type of candy (1 ≤ Ci, Pi  ≤ 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

Added by:Paulo Costa
Date:2012-01-19
Time limit:0.301s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:ITA - Brazilian ICPC Training Camp, Jan-Feb/2012

hide comments
2013-08-06 17:50:45 Ayush Vatsa
piece of cake...keep it long long:)
2013-07-23 10:42:03 vb30
used unsigned long long but still gettin sigsegv error please help
2013-07-22 15:02:25 flipster
cakewalk :)
2013-07-13 08:04:04 P_Quantum
use long long instead of int and printf, scanf instead of cout,cin.. :)
2013-06-25 06:39:52 rajul
really irritating !!!!!! evrything was perfect bt had to use printf and scanf.. :D AC at last phew!!
2013-06-07 18:20:35 tamed
<snip>
why i m gettin time limit exceed :(
pls tell me...ihav used long long int also

Last edit: 2023-05-27 20:39:43
2013-06-03 10:52:38 Maged Shalaby
Same thing happened here, read all values in long long int.
2013-05-21 07:44:24 phpMyAdmin
this shouldn't be so .. cout -> printf cin->scanf tle-> ac :P
2013-04-05 22:05:04 যোবায়ের
Whenever stupid people gets WA, the claim something wrong in test data. Test data maintains exactly as given in description, don't look below, use your own calculation about what data type you need to use.
2013-02-25 11:27:17 shadoww
WTF!! 3 WA due to wrong constraints :(
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