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
dileep32: 2020-02-17 18:38:37

yes, time limit is constant for all languages , i used sqrt and odd number method got accepted.

asimmahmood88: 2020-02-13 05:45:55

my code is running fine on ideone but here my submission isnt being accepted. I am getting "runtime error (NZEC)". Can someone help me please

vibavari: 2020-02-10 16:34:33

My sample case is giving the correct output in idone, no extra spaces or extra lines. but its giving wrong answer while i submit it in SPOJ. Please help

tushar_dhote: 2020-01-29 13:19:48

AC in 1st attempt. XD

dchhitarka: 2020-01-25 10:43:30

My code(Python3) is working fine on ideone.com and everywhere else but its showing time limit exceeded when I submit it. Can anyone help me?

cmao: 2020-01-22 23:58:50

thanks @nadstratosfer. I will not give up on this simple question and will solve it in python :)

nadstratosfer: 2020-01-22 12:02:38

cmao, TL is the same for all languages indeed but majority of problems can be solved in Python when correct algorithm is used and the code is free of redundancies. Here, TL is more than enough:

https://www.spoj.com/ranks/PRIME1/lang=PYTH%203.2.3

Dig up an older comment of mine here for longer story about taking on C limits with Python. Welcome to SPOJ and good luck.

cmao: 2020-01-22 03:08:16

good explanation:
https://www.geeksforgeeks.org/<-------------------snip--->

=(Francky)=> Please don't spoil in comments. Use forum for those kind of links, or codes. Please read the notes below before posting a comment.

Last edit: 2020-01-22 21:07:06
cmao: 2020-01-22 02:58:33

same code is running fine in c++ with exactly same logic but in Python 3 it is throwing me TLE. I am using sqrt logic both in c++ and Python and not sieve algorithm. Does this mean that SPOJ time limits are the same irrespective of languages used? That would be terrible. anyone else able to solve Prime problem with python 3, without sieve with sqrt and achieved success?

Last edit: 2020-01-22 02:59:20
ericwen46: 2020-01-16 08:30:05

Is there anyone using the swift programming language?


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