F.A.Q
Hand In Hand
Online Acmers
Problem Archive
Realtime Judge Status
Authors Ranklist
 
     C/C++/Java Exams     
ACM Steps
Go to Job
Contest LiveCast
ICPC@China
Best Coder beta
VIP | STD Contests
    DIY | Web-DIY beta
Author ID 
Password 
 Register new ID

Beautiful Set

Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 719    Accepted Submission(s): 349


Problem Description
I¡¯ve read many problems in my ICPC career, sometimes the meaning of a problem often makes me confused.
When I read a problem more than three times and still can¡¯t get the idea what is the problem saying about, I may become like this

or


I hope you won¡¯t be the above person after you read this problem.
Mr. Zstu and Mr. Hdu get a set of numbers {$A_{1}, A_{2}, ... , A_{n}$}, they have different opinions about the beautiful value of the set.
Mr. Zstu defines the beautiful value like this:
Make the set become a sequence, the beautiful value of the sequence is the sum of all the interval¡¯s gcd(greatest common divisor), and the beautiful value of the set is the sum of the beautiful value of all the possible sequence. For example, set{$1,2,3$} can be six different sequence {$1,2,3$},{$1,3,2$},{$2,1,3$},{$2,3,1$},{$3,1,2$},{$3,2,1$}.


Mr. Hdu defines the beautiful value like this:
For k from 1 to n, choose k numbers of the set, and calculate the gcd of the k numbers. The beautiful value of the k numbers is k * (gcd of the k chosen numbers). The beautiful value of the set is the sum of all of the beautiful value of k numbers.
Which beautiful value is larger, Mr. Zstu and Mr. Hdu invite the judge Mr. Xiasha to help.
Given that both of the value are too big, the stupid Mr. Xiasha mod both of the values by 258280327, so here is the question, which value is bigger after mod operation?

 

Input
There are multiple test cases.
Each test case begins with an integer n$(1 \leq n \leq 100000)$
The next line is n integers $A_{1},A_{2},...,A_{n}$
All of the integers are between 1 and 100000.
 

Output
For each test case, if the beautiful value is equal between Mr. Zstu and Mr. Hdu, output ¡°Equal¡±, followed the beautiful value , otherwise output the person¡¯s name with bigger beautiful value and followed the beautiful value.
 

Sample Input
2 2 3 1 233
 

Sample Output
Mr. Zstu 12 Equal 233
 

Author
ZSTU
 

Source
 

Statistic | Submit | Discuss | Note
Hangzhou Dianzi University Online Judge 3.0
Copyright © 2005-2024 HDU ACM Team. All Rights Reserved.
Designer & Developer : Wang Rongtao LinLe GaoJie GanLu
Total 0.000000(s) query 1, Server time : 2024-04-20 02:54:48, Gzip enabled