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
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.

nilanjanspoj: 2020-06-24 21:36:21

With the easiest possible solution for this problem, you can get it passed using C or CPP with slower time complexity, 1 - 3 sec. But I've done it using an algorithm(I'll not tell you, go Google it) and the runtime was 0.01 sec. The most efficient solutions are even less than 0.01s they are effectively less than 0.00s. So don't use simple logic. Go and do some research.

Last edit: 2020-06-24 21:38:06
murtuz: 2020-06-24 19:18:03

Python3 TLE Prime Logic (TLE) convert it to C++ and it will get accepted like a charm.! Shows just how important C++ in CP.!

nilanjanspoj: 2020-06-22 08:10:18

After I submitted my problem it says "time limit exceeded". Then I clicked on "ideone it". And after running in ideone I saw that it's taking less than 0s to run. Still my answer not getting accepted.

rits_rabart02: 2020-06-22 05:49:25

it says wrong answer but where to look which is the wrong one in python 3.7
in Atom its giving correct answer

Anyone help

[NG]: Don't post code in comments; vide the notes at the bottom of the page. Also, your solution is bruteforce and wouldn't pass even if it gave correct answers.

Last edit: 2020-06-22 06:53:10
tenshikn: 2020-06-20 22:19:53

All the time getting time limit exceeded with python. Even with segmented sieve smh


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