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
Shidhu : 2016-07-20 20:40:45

unbelievable !!!!
Solved at 0.01s by Segmented Sieve :)

binari: 2016-07-18 23:19:42

Use segmented sieve, as said by the comments.. but documents on the net may not tell it easily, so you have to understand and implement it yourself. It took me for 2 days (about 10 hours) to understand it.

rishabh_1997: 2016-07-13 08:53:35

Very nice question, first learnt sieve, Runtime Error.
Then converted into segmented sieve, AC. :)

wolf_01: 2016-07-12 08:27:49

I used Rabin–Miller primality test for solving this question in python

Sumant Mann: 2016-07-04 12:59:25

anybody solved this question in python?

shahzin: 2016-06-29 23:51:45

Use Segmented Sieve of Eratosthenes

sriram8500: 2016-06-27 18:49:06

thangaram:: You just use sqrt or log inloops that reduces the loop iteration greatly

thangaram: 2016-06-27 15:07:47

it shows TIME LIMIT EXCEEDED even though it runs at less than 6s in ideone.com for larger intervals.

joist: 2016-06-26 05:07:58

ain't time limit too long for such a short algorithm? i think for most computers it should work within fraction of seconds.

mycode_123: 2016-06-23 13:41:35

use segmented sieve,,,,and u wil AC it!!!


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