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
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.

orkhan_az: 2019-10-02 05:33:17

Why it writing time limit ? I pass all self test by code it done succesfull
I dont understand which test give a wrong answear? i am write fast and stable algoritme to find all prime numbers in diapazone beetween 2 ....10000000/ How can i see failed test?

Last edit: 2019-10-04 07:51:09
krishna_siva_: 2019-09-29 07:37:07

@uri_12 I know right, tried it in Python 3, PyPy and C++, and only C++ worked. They really need to adjust their time limits.

hetp111: 2019-09-27 14:15:47

no need for segmented seive.

bihari_kid: 2019-09-25 15:12:27

apply segmented sieve algorithm

srinathsekar: 2019-09-17 20:00:48

I'm getting TLE 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