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
mswarp: 2020-06-20 12:48:08

Is it not possible to answer this question using C? My code keeps exceeding the time limit

rd_240999: 2020-06-10 18:04:48

Last edit: 2020-06-10 18:08:56
sidmaxx_007: 2020-06-10 06:07:11

I am getting runtime error. I am using brute force in python. I also tried using the sieve of eratosthene but I am still getting runtime error. Is there any more efficient algorithm for python users?

[NG]: There are several approaches that can get AC with Python in fraction of the TL. Your code is getting CE not RE, ensure your IDE replaces tabs with spaces correctly.

Last edit: 2020-06-11 03:35:04
b_subhashish: 2020-06-03 09:07:25

I'm getting time exceeded warning when compiled on C . Any one help me!!!

crazybali: 2020-05-31 14:30:12

I'm not getting the question clearly.
those inputs and outputs are different with respect to the question.

purveshmakode: 2020-05-29 17:43:00

If you try your Python3 (time limit exceeded) code in C++, you won't get that error.

tenshikn: 2020-05-27 19:14:58

Someone please explain using segmented sieve

osborne_17: 2020-05-26 16:14:05

getting runtime error

vaibhav_19: 2020-05-25 16:32:11

see dassatyaki's comment it's true.

krishp: 2020-05-24 21:51:28

.17 seconds PYTHON3

=(Francky)=> 0.03s to be beaten https://www.spoj.com/ranks/PRIME1/lang=PYTH%203.2.3

Last edit: 2020-05-25 08:39:39

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