PRIME1 - Prime Generator

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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.

Added by:Adam Dzedzej
Date:2004-05-01
Time limit:6s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel Pentium G860 3GHz)
Languages:All except: NODEJS PERL 6

hide comments
adityavasistha: 2015-08-30 17:35:29

showing time out

revolt33: 2015-08-30 11:27:16

finally did it, took me 3 days to solve... :P

apprentiz: 2015-08-28 07:52:59

working fine with codeblocks within time limit.
here it is showing timeout.

magma1983: 2015-08-26 19:57:55

Sample correct in ideone, Python.
In SPOJ:
-Time exceeded in Python 2.7.10
-Wrong answer in Python 3.4

satylogin: 2015-08-25 08:50:51

the same problem is happening with me

aloysiusabreo: 2015-08-24 13:19:38

working fine on ideone and codechef ide. shows runtime error on submission. any ideas?

vtaneja: 2015-08-24 10:29:07

I am getting timeout...
For input:
1
999900000 1000000000

My functionality including printing timing is: 1515 ms.
I am trying to find out input set of the problem. Does anyone have any knowledge of the input set?

Tanvi: 2015-08-23 14:05:28

getting SIGSEGV error. My code is working fine on Ideone. What should I do?

raj23659: 2015-08-21 15:51:58

what size should we choose for arrays?

silentguardian: 2015-08-17 18:12:08

What causes a SIGABRT error?I tried submitting a sieve of eratosthenes solution.