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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
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) |
hide comments
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2016-06-14 21:35:46 AD
Easy one ! Simple trial division will do. :D |
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2016-05-21 10:40:05
De Polignac's :) learnt something new! |
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2016-04-05 23:50:26
wow such a nice ques nD i got AC in 0.0 sec !!!!! :P |
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2016-04-05 19:13:17 hanstan
Care the limit is for N more than 10000... Finally AC 0.00s |
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2016-04-03 22:58:15
lolypop question |
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2016-02-21 09:15:27 rccroshan1
The spaces costed me 1 WA. |
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2016-02-20 03:09:18
Nice question for sieve practice. |
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2015-10-24 01:21:27
I had a runtime error (SIGSEGV), I think it ment I was using too much memory, took me a few attempts to realize. |
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2015-10-19 20:06:12
Nice question.... :) |
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2015-08-16 16:22:56 SangKuan
ac with 0.0 sec |