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
joe_erwaa: 2018-09-08 18:35:18

would anyone please tell me what sieve is? i'm new for SPOJ

noob_101: 2018-09-07 20:07:10

finally got the solution in python

aj_254: 2018-09-04 19:38:18

finally got AC!! after 23 TLE.same logic of python works in c++ and in python its tle .

anant6025: 2018-09-03 22:19:53

I tried Sieve of Eratosthenes--->TLE
Then tried Sieve of Atkins--->TLE
Then tried the basic less then sqrt(upper limit) approach---->Still wondering how did i get an AC

Last edit: 2018-09-03 22:20:14
contrevien: 2018-09-03 15:59:11

Description says "between", however the second sample test case contradicts this.

dragost_305: 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

mittalyash: 2018-08-29 20:13:52

time limit exceeded.. means?

rajiv2605: 2018-08-26 20:50:26

The classical O(n2) solution gets accepted but segmented sieve shows TLE.. How is it even possible?

p_vishnu: 2018-08-26 12:57:28

why isn't sieve working??

ani1107: 2018-08-24 21:45:13

Guys this is not a fair problem of checking the optimal solution!!


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