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
akhileshsoni96: 2017-01-01 10:30:42

Hint:Use segmented sieve for this

anouriel: 2016-12-31 21:42:33


why limit exceed?

Last edit: 2016-12-31 21:47:40
mitch97: 2016-12-29 21:49:57

Time limit exceeded, what am I supposed to do now ?

shreeshiv: 2016-12-26 10:58:56

in which way we have to take input ?
first "m" or "n".

zealsham: 2016-12-25 23:46:47

i dont really get the input logic

erkbai_kubatov: 2016-12-24 12:02:02

i have the same problem

silentserpent: 2016-12-23 12:45:56

I am getting run time error, SIGABRT! I don't know what that is!

rohit9934: 2016-12-15 18:36:23

how to know in which line error is occured if it shows compilation error

code0monkey1: 2016-12-11 15:55:09

can be done by the naive (find factors till sqrt(n) ) method ... but it's better to learn the segmented sieve to optimize it

Last edit: 2016-12-11 15:56:05
mckay93: 2016-12-04 15:21:42

if (time limit exceeded) your program is running not enough fast. test your program with max possible values
if (runtime error) your program has unhandled exceptions


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