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
AMIT KUMAR MAURYA: 2013-08-02 11:49:48

got the answer!!! thumbs up

ROHIT KUMAR: 2013-08-01 17:45:56

its done aftr 2 months...
nice prob :)

vids: 2013-08-01 09:46:21

I am getting compilation error bcoz of sqrt(n), and header file, 'math'. what is the header file for sqrt, in c++.

vaibhav kumar: 2013-07-31 16:25:45

[code removed]

wrong answer help plese !!!!!!

"Notes:
1. Don't post any source code here."

Last edit: 2013-07-31 17:45:14
vids: 2013-07-29 07:08:34

I coded this problem, and got the same solution also. Still it is saying 'wrong answer'.

Last edit: 2013-07-29 07:08:58
rishi: 2013-07-27 08:20:53

the greeks have the answer

Mostafa 36a2: 2013-07-26 14:20:01

@mohamed gouda : your algorithm
checks every number between m and n
with a O(n) test
if m==1000000 and n==1010000
you have to do 10000*1000000 cycle :P
and this is too long .
try your code on this case:
1
100000000 100100000

Mohamed Gouda : 2013-07-23 04:31:19

i keep getting TLE i don't no why can somebody help , this is my code
( code removed :) )

Last edit: 2013-07-27 05:13:45
innovolt: 2013-07-18 15:42:28

finally seive works run in 5.63s

paes marca: 2013-07-18 13:55:12

compilation error
gcc-4.3 -c -O2 -x ada prog.ada
prog.ada:1:01: compilation unit expected
prog.ada:3:29: illegal character, replaced by "("
prog.ada:5:49: illegal character, replaced by "("
prog.ada:7:23: == should be =
why!


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