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
jovice786: 2017-12-28 17:29:10

TLE ?? even after using sieve,,,please help

sansairama: 2017-12-25 17:04:45

Time limit exceeded any solution??

pk159pk: 2017-12-24 04:45:25

just take care of large input and use SIEVE algo to make it run in O(N).

Last edit: 2017-12-24 04:46:04
linyu203: 2017-12-22 19:11:08

Something about TLE, if your algorithm does it with filter or screen method with O(n) memory cost (n means the largest number inputted), that may mean you use too much MEM, try other methods with lower time effect, but O(1) memory cost, will be accepted.

amitkr100: 2017-12-19 22:11:49

Make Seive for 1-10^6 then extract and store all prime numbers, Now if you need prime >10^6 use stored prime numbers.

aishwarya100: 2017-12-19 14:52:50

Time limit exceeded!

namanruhela03: 2017-12-14 15:23:49

i don't understand it will always showing TLE again and again ???

mrinaal007: 2017-12-11 16:11:14

The code is compiled correctly but TLE is coming out of the blue!

utsav807: 2017-12-10 14:47:36

On ide its running successfully under allowed time limit and memory limit, however on submission its showing time limit exceeded.

aman9d: 2017-12-08 15:45:36

TLE what to do


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