PRIME1 - Prime Generator
Peter wants to generate some prime numbers for his cryptosystem. Help him! Your task is to generate all prime numbers between two given numbers!
Input
The input begins with the number t of test cases in a single line (t<=10). In each of the next t lines there are two numbers m and n (1 <= m <= n <= 1000000000, n-m<=100000) separated by a space.
Output
For every test case print all prime numbers p such that m <= p <= n, one number per line, test cases separated by an empty line.
Example
Input: 2 1 10 3 5 Output: 2 3 5 7 3 5Warning: large Input/Output data, be careful with certain languages (though most should be OK if the algorithm is well designed)
Information
After cluster change, please consider PRINT as a more challenging problem.hide comments
Dan:
2013-03-13 22:12:29
By definition, a prime number is
|
|
:D:
2013-03-13 22:12:29
Please move your code to the forum (probem set archive section). Comments are no place for the whole programs, your spoiling it for others! |
|
Alca:
2013-03-13 22:12:29
I use Miller-Robbin( O(log n) )
|
|
superpollo:
2013-03-13 22:12:29
maybe the condition n-m<=100000 might be used to increase efficiency... ? |
|
Rakib Ansary Saikot:
2013-03-13 22:12:29
Another idea is to use an Erathostenes sieve that doesn't store some numbers that are certainly not prime. For example, you can store 30 numbers in one byte: only 30n+1, 30n+n+7, 30n+11, 30n+13, 30n+17, 30n+19, 30n+23 and 30n+29 can be prime. You can expand this idea to 32 bits for maximum performance.
|
|
Diogo F. S. Ramos:
2013-03-13 22:12:29
Two main advices from whom who just beat it:
|
|
Jargon:
2013-03-13 22:12:29
@jgomo3
|
|
Kacper Wikie³:
2013-03-13 22:12:29
Chinese Primary test is too slow;
|
|
anonymous:
2013-03-13 22:12:29
abhirut, find the biggest bound (n), and save all the primes from 2 -> n somewhere
|
|
Krzysztof Kosiñski:
2013-03-13 22:12:29
Miller-Rabin can do this, but only in compiled languages. Other languages are too slow. You need to use an experimental result described
|
Added by: | Adam Dzedzej |
Date: | 2004-05-01 |
Time limit: | 6s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: NODEJS PERL6 |