CANDY - Candy I

Jennifer is a teacher in the first year of a primary school. She has gone for a trip with her class today. She has taken a packet of candies for each child. Unfortunately, the sizes of the packets are not the same.

Jennifer is afraid that each child will want to have the biggest packet of candies and this will lead to quarrels or even fights among children. She wants to avoid this. Therefore, she has decided to open all the packets, count the candies in each packet and move some candies from bigger packets to smaller ones so that each packet will contain the same number of candies. The question is how many candies she has to move.

Input specification

The input file consists of several blocks of data. Each block starts with the number of candy packets N (1<= N <=10000) followed by N integers (each less than 1000) in separate lines, giving the number of candies in each packet. After the last block of data there is the number -1.

Output specification

The output file should contain one line with the smallest number of moves for each block of data. One move consists of taking one candy from a packet and putting it into another one. If it is not possible to have the same number of candies in each packet, output the number -1.

Example

Input file:
5
1
1
1
1
6
2
3
4
-1

Output file:
4
-1

Added by:Fudan University Problem Setters
Date:2007-12-01
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: C99 ERL JS-RHINO
Resource:IPSC 1999

hide comments
2021-11-20 13:46:24
@wolverine777 no need to read the whole desc jst read his comment
2021-05-24 07:44:48
AC after 2 wrong submissions
2021-04-03 15:32:19
I'm a little confused isn't the answer to test case 3 because it won't be equal division so you are left with 3,3,2,2,2,3,3,3,3 after moving around all the packets, the biggest move I found was 3.
2021-03-20 01:05:31
badcoder ur are my friend now
2021-01-04 20:23:02
Ans for 10 6 3 3 3 would be 6 I assume?

Last edit: 2021-01-04 20:23:29
2020-08-10 11:17:45
Why tf is it showing TLE?!!
In the ideone it's doing the computation in 0.02s
2020-07-11 21:11:09
@krritik the answer would be

6


explaination
since there are 6 students and the number of candies 30 with teacher

so each students get 5 candies
since 3 student have less than 5 candies so 2 candies each of the 3 students so 6 candies to be distributed
2020-07-02 08:01:42
AC in 10th go,
I am a pro :)
2020-06-19 18:50:35
ac in one go!
2020-05-31 13:14:44
i am a newbiee...still AC in one go
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