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
appuk: 2020-09-09 18:10:27

Getting a tle when using sieve...
even in cpp

Last edit: 2020-09-09 20:05:06
madhusurisetti: 2020-09-09 11:27:14

solved it with common lisp!!!

dharan1011: 2020-09-06 15:30:36

Easy one. AC ⭐️

david_lodianto: 2020-09-06 06:36:02

used sieve, and it always gives segmentation fault after 46349, any idea what I should do?

parth_cp_n0ob: 2020-08-28 08:19:02

I used Segmented Sieves but it give a time limit exceeded error. Is there a better way to do it?

eyepatch020: 2020-08-17 19:02:17

just return false if divisible by 2

hary_roger2001: 2020-08-13 16:08:25

my standard input is empty,what should i do

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 !!


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