FACT0 - Integer Factorization (15 digits)
This is a problem to test the robustness of your Integer Factorization algorithm.
Given some integers, you need to factor them into product of prime numbers.
The largest integer given in the input file has 15 digits. FACT1 is a harder version of this problem (the numbers are larger).
You may need to use a general factorization algorithm since no special numbers (e.g. Fermat numbers) are considered when designing the input data.
Input
There are several numbers given, each one in a line.
The input ends with a number 0.
The number of test cases is about 10.
Output
For each number, print in a line the factorization of it. See examples below for the output format.
Example
Input: 3111989 13091989 77145199750673 0 Output: 317^1 9817^1 17^2 89^1 509^1 328439^1 234884407^1
hide comments
nahid_007:
2017-05-19 07:54:30
easy problem.. go through divisor count by using prime factorization
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manas0008:
2016-03-12 18:14:42
Trial division method have been given ac.
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minhthai:
2016-01-20 11:07:26
you can ac with bruteforce in java :) |
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Vishal:
2015-10-17 09:25:07
week test cases |
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i_am_looser:
2015-05-26 09:17:34
Used optimized sieve ........... Got accepted ........... I think polard rho is for FACT1 ............. |
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Rishab Banerjee:
2015-04-11 15:28:49
no need for seive or polard-rho just use simple brute force also if 993960000099397 10 times gives tle dont worry your code still might work |
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Lehar:
2015-04-07 16:40:46
For those getting TLE using sieve(naive way), try using bitwise sieve. |
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Madhav:
2015-04-04 20:33:46
trial division works!! |
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karan:
2015-03-30 17:05:13
finally ac :') |
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Takanori MAEHARA:
2015-02-17 23:35:51
What should be the output for 1?
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Added by: | Jimmy |
Date: | 2009-10-08 |
Time limit: | 1.138s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ERL NODEJS PERL6 VB.NET |