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

Use segmented sieve explained on this link http://programmingpraxis.com/2010/02/05/segmented-sieve-of-eratosthenes/

Neha Kumari: 2013-03-13 22:12:29

if we are using sieve how can it be done without taking an array of size 1000000000,
plz giv sm hint

Mr. Rook: 2013-03-13 22:12:29

@keshav as far as i know if you allocate an array of size int(1000000) if gives runtime error in many compiler maybe thats y u r getting.
correct me if i am wrong :)

next thing donot post your codes here

Last edit: 2012-05-30 07:16:18
Max: 2013-03-13 22:12:29

<snip>
can someone please tell why it gets a runtime error when I sumbit? Works just fine here

Last edit: 2023-05-27 18:29:46
ronak poddar: 2013-03-13 22:12:29

getting WA again and again...unable to debug...plz help...my code is <snip>

Last edit: 2023-05-27 18:31:00
Mads: 2013-03-13 22:12:29

Hi when i run my program on local computer it works and generates the right results and when i test it on Ideone.com it gets the green light and generates the correct results.

But when i run it on SPOJ i get NZEC error. What is the problem?

Sorry no code because it says comment to long but the code is in JAVA.

Ali Abdallah Awad: 2013-03-13 22:12:29

I Hate Time limit executed :(

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

with input
2
1000 2000
100 200

i get
time: 0.02s
mem: 2860 kB

and still time limit exc. ;-(

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

<No code in the comments>

Last edit: 2012-12-07 08:40:03
Abhishek Joshi: 2013-03-13 22:12:29

can somebody please tell me why the submission id 7001755 is giving a TLE I am using sieve of erastothenes.


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