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
ali_a: 2020-03-27 12:49:11

use trial division method. Run the loop till sqrt of n. No need to use any kind of Sieves for this simple problem.

supriya9: 2020-03-26 06:21:19

when i am running my code in other IDE... my code is correct and giving the correct output but when i submit it here it is displaying time limit exceeded .
someone please help me out of this?

shammya: 2020-03-25 17:42:39

i used Fermat's primality test algorithm which takes O(k*log(n)) to check whether a number is prime or not.
i took k = 20 and got AC with .56 sec.
just iterate from m to n and check whether the number is prime or not .
time complexity O(n*logn).
hope it helps : )

Last edit: 2020-03-25 17:42:59
f20180664: 2020-03-25 14:07:25

Do we have an editorial section on spoj

akarsh777: 2020-03-22 22:15:05

AS SOON AS THE VALUE OF COUNTER IS MORE THAN 1,COME OUT OF LOOP,AC IN ONE GO....THANK ME LATER

Last edit: 2020-03-22 22:15:34
bhavika_99: 2020-03-21 06:19:34

using the usual prime number code with square root will give u the answer.

armitage226: 2020-03-20 16:05:32

how do i take input with a space in between in c++

navin123: 2020-03-18 12:59:01

aparna_15
You need to use segmented sieve to avoid TLE error as the upper bound is more than 10^8.

nathanaxel: 2020-03-18 05:09:39

puede

aparna_15: 2020-03-16 09:36:30

when i am running my code in other ide... my code is correct and giving the correct output but when i submit it here its givng time limit exceeded error.
Can someone help me here?

Last edit: 2020-03-16 09:41:18

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