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
5
Warning: 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
Santosh: 2013-03-13 22:12:29

What the hell? I guess the maximum limit of m,n is 10^10 instead of 10^9. My codes work only if I assume the maximum limit to be 10^10 !!

himanshu tyagi: 2013-03-13 22:12:29

sir in my computer time limit is satisfied
but here not why?

himanshu tyagi: 2013-03-13 22:12:29

sir how can i reduce my time limit

pbd: 2013-03-13 22:12:29

<snip>
what is wrong

Last edit: 2023-05-27 18:26:53
Saikat Guha: 2013-03-13 22:12:29

it would be best if spoj gave their own ide or prescribe some well known ide

Ouditchya Sinha: 2013-03-13 22:12:29

Finally Solved It!!! My 100th on SPOJ. :) Learnt a lot of things by solving this question, @Adam Dzedzej, thank you for making this problem.

mroovka: 2013-03-13 22:12:29

Is n really <= 1000000000 in test cases?
On my PC program runs well.
Here I'm getting SIGSEGV, but with n <=1e9 any pointer in my program should work inside declarred arays...
Any suggestion?

kuru: 2013-03-13 22:12:29

I have tested my solution on Pentium MMX 200MHz (much slower than this machine) and computing time was < 0.1s. Why do I always recieve timeout from SPOJ?

fawaz ibrahim: 2013-03-13 22:12:29

I Always have the message "Time Limit Exceeded" , how to solve this???

Gaurab Dey: 2013-03-13 22:12:29

I am totally new to SPOJ, can any once help me with the code submission i am getting compilation error because of file name and public class name mismatch in JAVA after submission. Even if i try to upload the *.java file with the same naming as the public class name.


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