PTIME - Prime Time
For your math homework this week your teacher gave you five large numbers and asked you to find their prime factors. However these numbers aren't nearly large enough for someone with knowledge of programming like yourself. So you decide to take the factorial of each of these numbers. Recall that N! (N factorial) is the product of the integers from 1 through N (inclusive). It’s your job now to create a program to help you do your homework.
Input
Each test case contains a number N (2 ≤ N ≤ 10000).
Output
The output should contain a line representing the prime factorization of the factorial given number, which should be of the form: p1^e1 * p2^e2 * ... * pk^ek where p1, p2, ... pk are the distinct prime factors of the factorial of the given number in increasing order, and e1, e2, ... ek are their exponents.
Example
Input: 10 Output: 2^8 * 3^4 * 5^2 * 7^1
hide comments
Deepak Singh Tomar:
2015-07-10 09:05:56
de polignac's :) |
|
Devashish:
2015-06-26 09:22:05
My 50th! :) Nice problem and must try for factorisation and prime finding. |
|
Dushyant Singh:
2015-06-19 14:15:17
Got 3 RE then i read Kid Algorist's comment. Thanks Kid Algorist. :-) I think limit of N is upto 10007 and as some comments say you don't have to read till EOF i.e. there is only one input. However EOF program will also give AC. |
|
jaikishan:
2015-06-18 12:02:04
accepted in 1 go! Last edit: 2015-06-18 12:02:38 |
|
TUSHAR SINGHAL:
2015-06-10 16:34:28
awesome problem :-) |
|
Madhav:
2015-02-12 13:59:09
done! |
|
kbt:
2015-01-17 20:07:00
easy problem. a stupid syntactic error caused me one wa
|
|
kbt:
2015-01-17 16:37:18
@bhargav parsi we should use the EOF concept
|
|
Bhargav Parsi:
2015-01-17 15:14:58
no. of test cases is not mentioned?
|
|
Adarsh kumar:
2014-12-03 05:47:30
Don't forget to give spaces in output format .. Costed me 3 WA ..
|
Added by: | Amlesh Jayakumar |
Date: | 2012-06-19 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 |
Resource: | DWITE Programming Contest 2012 (Own Problem) |