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
kaala: 2022-05-28 07:17:53

If you are getting TLE error . Use segmented Sieve method (though there are two more method, segmented sieve is easy to understand).
You can refer to "cp-algorithm" prime number section.

siddartha321: 2022-05-26 15:07:45

its not fair.Getting time limited exceeded

pydev234: 2022-05-26 14:03:13

Why Time limit exceeding is showing?

sammessi2k123: 2022-05-03 06:50:58

it is quick at ideone but when i submit it the result is time limit exceeded :(

jaynezx: 2022-04-28 19:58:54

Why is it giving TLE!

mojoee: 2022-04-27 08:07:10

i also have time limit issues... tried to run only till sqrt, only run odd numbers, but still get TLE!!
PS: Even use Sieve of Eratosthenes, but still get TLE in python

Last edit: 2022-04-27 09:38:49
juho_l: 2022-04-23 09:49:30

Same problem as with others. Gives time limit exceeded even though the algorithm itself runs locally in few milliseconds. Since this requres potentially printing _hundreds_ of lines into console, almost all of the execution time is spent in printing. I wonder does it play a role here too?

Last edit: 2022-04-23 09:53:12
mursalatul: 2022-04-17 22:24:16

dont know why its giving TLE.

zinfx_09: 2022-03-15 01:34:27

LETS GO I DID IT!!

quarkeby3: 2022-02-27 19:32:36

use Segmented sieve


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