Maurice Tutor

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About Maurice Tutor

Levels Tought:
Elementary,Middle School,High School,College,University,PHD

Expertise:
Algebra,Applied Sciences See all
Algebra,Applied Sciences,Biology,Calculus,Chemistry,Economics,English,Essay writing,Geography,Geology,Health & Medical,Physics,Science Hide all
Teaching Since: May 2017
Last Sign in: 398 Weeks Ago, 1 Day Ago
Questions Answered: 66690
Tutorials Posted: 66688

Education

  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

Experience

  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 17 Sep 2017 My Price 8.00

number theory course

Being in love with number theory, Johnny decided to take a number theory course. On the first day, he was challenged by his teacher with the following problem: given a number N, compute the product of its positive divisors. Johnny is desperate to impress his new teacher so he asks you for help.

 

In this problem, the divisors of N do not include the number N itself. For example, if N=12, the divisors of N (excluding N) are 1, 2, 3, 4, and 6. Thus, the product of divisors is 1x2x3x4x6=144. Since the result may be very large, if the result has more than 4 decimal digits, Johnny only needs to compute the last 4 digits of it.

 

Input

 

The first line contains t, the number of test cases (about 300,000). Then t test cases follow.

 

Each test case contains a single integer N (1 = N = 500,000) whose product of divisors needs to be computed.

 

Output

 

For each test case, print a single line containing the corresponding result of that test case.

 

Example

Input 6 3 4 12 25 957 10000 Output 1 2 144 5 7493 0000

Answers

Maurice Tutor
(5)
Status NEW Posted 17 Sep 2017 12:09 PM My Price 8.00

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