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
k3rnel: 2019-11-14 17:58:47

this is a very interesting problem....

r0land0: 2019-11-13 07:22:34

Why I got internal error. Please, could somebody help me?

ashok_shaun: 2019-11-12 12:33:59

dont print extra line for last case!!!

ummihopes: 2019-11-05 14:03:13

how to resolve a runtime error problem in ideone help me resolve it?

zarif_2002: 2019-11-02 07:34:37

segmented sieve

the_deadshot12: 2019-10-28 16:30:38

can anyone post the solution for this question??

rb_spoj: 2019-10-20 00:53:56

In Python3 I tried to vary the inputs i.e. 'm' from 100 to 10(5) and 'n' from 10(4) to 10(6) and observed that if m and n are increased further from 10(5) and 10(6) respectively, the number of primes generated remain same in both cases....Could be because range of int is outranged at this juncture, in Py3.

And becoz of that I got TLE, has anyone got success trying in Py3 ??

atharva12345: 2019-10-16 17:26:22

whats the way to solve this so that i dont get TLE?

eyenine: 2019-10-11 17:56:05

IS sieve of Eratosthenes is necessary to solve this?

technorsh: 2019-10-09 11:33:26

I have test for worst case, it is giving 4.139s but after submitting it's giving exceed time limit.


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