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
manxmaniac: 2020-08-08 09:18:11

segmented sieve makes it a charm

asaati_7: 2020-08-07 14:25:04

I've applied sieve, duration of the program with m=1 n=100001 10 times lasts for 0.56 s for me and I still get time limit exceeded. Any hint? (Python)

update:
just found out that it's impossible to solve it with Python on SPOJ, always TLE will appear. Same methods in Java or CPP work just fine.

[NG]: How does your solution do with L = 999900000, R = 1000000000, 10 times?
https://www.spoj.com/ranks/PRIME1/lang=PYTH%203.2.3

Last edit: 2020-08-07 21:51:19
snorlexx: 2020-07-30 06:26:05

My Program works flawlessly in NetBeans (JAVA) , still it's showing as WA , please help !!

evanzo: 2020-07-24 04:29:17

i am a beginner and i dont even know where to start from

sohelr360: 2020-07-21 06:50:09

Finaly ! i have managed to write code that works in 0.00 ms.
Hint: use faster io in c++.

Last edit: 2020-07-21 06:52:00
vishesh_jha17: 2020-07-10 16:02:02

I have a error of Standard input is empty what I need to do?

sajin_amin02: 2020-07-01 07:11:14

segmented sieve is more interesting than the normal sieve

n0va5trik3r: 2020-06-27 10:46:30

I got the algorithm but I am getting Run Time Error in Python 3.7.
edit: Okay I got it. The hint is that you should sieve it ;)

Last edit: 2020-06-27 10:54:06
tyagikeshav30: 2020-06-25 15:13:29

it took only 30 sec with very simple approach

ip_nandwani: 2020-06-24 22:05:19

Please can anyone can provide me with the solution in c++, as my code always gets TLE(time limit exceeded) error.


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