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
David Winiecki: 2014-05-28 07:07:31

The first line is a single number, indicating the number of lines of input that follow.

amala: 2014-05-27 22:54:16

How does one know that the user has finished entering input values? Say he gives just 1 line of input--> 1 3. (Nothing afterwards)How is this handled?

Wasim Thabraze: 2014-05-24 09:44:07

@sourabh sharma ..Use segmented sieve of eratosthenes :)

Akshay Vilekar: 2014-05-24 08:32:08

Can anyone provide hint which data structure I should use ?

PRITHA GANGULY: 2014-05-24 06:09:39

time limit exceeded! :( how do I solve this?

Sourabh Sharma: 2014-05-22 15:47:07

can anyone tell what are the techniques of optimization to avoid time limit problem?
any link ..?help

Kaushal Manna: 2014-05-21 21:23:54

how to reduce the time limit?? anyone...anyidea

Michael Moerschell: 2014-05-21 13:41:52

If there is no output for a testcase (e.g.: 32 33), has the program to print an empty line?
--ans(Francky)--> Judge ignore extra-whitespace, so you can can add an empty line, or not, it doesn't matter. Good luck.

Last edit: 2014-05-21 13:58:57
Michael Moerschell: 2014-05-21 13:40:07

To fix TLE error: http://en.wikipedia.org/wiki/Sieve_of_Eratosthenes

Pratyush Sharan: 2014-05-21 13:11:01

How to remove the time limit exceeded error in C? Can someone post some special test cases here? My code is running perfectly fine .


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