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.

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

hide comments
2018-09-03 15:59:11
Description says "between", however the second sample test case contradicts this.
2018-08-31 23:42:40
guys i am getting runtime error
Exception in thread "main" java.lang.NumberFormatException: null
is anyone else is also getting this
2018-08-29 20:13:52
time limit exceeded.. means?
2018-08-26 20:50:26
The classical O(n2) solution gets accepted but segmented sieve shows TLE.. How is it even possible?
2018-08-26 12:57:28
why isn't sieve working??
2018-08-24 21:45:13
Guys this is not a fair problem of checking the optimal solution!!
2018-08-19 17:19:41
even with sieve if i use cout for output time limit exceeded
2018-08-17 10:53:28
guys always check for 1. it should not suppose to be printed and use square n method
2018-08-12 20:17:00
Guys check for 1. I spent a ton of time only to find 1 was showing up as prime. And use sqrt().
2018-08-06 12:15:23
use normal method no need to use sieve or segmented
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