PON - Prime or Not


Given the number, you are to answer the question: "Is it prime?"

Solutions to this problem can be submitted in C, C++, Pascal, Perl, Python, Ruby, Lisp, Hask, Ocaml, Prolog, Whitespace, Brainf**k and Intercal only.

Input

t – the number of test cases, then t test cases follows. [t <= 500]
Each line contains one integer: N [2 <= N <= 2^63-1]

Output

For each test case output string "YES" if given number is prime and "NO" otherwise.

Example

Input:
5
2
3
4
5
6

Output:
YES
YES
NO
YES
NO

hide comments
vishwanath_26: 2017-10-24 21:12:29

Test cases may contain Carmichael numbers so use Miller Rabin

wisdommm: 2017-10-04 09:55:40

You need use both quick_pow and quick_multiply.

amulyagaur: 2017-07-25 11:25:37

accepted in 0.02 sec with only 2 iterations in fermat's test

musfiq_mridha: 2017-06-17 16:20:38

Is it solvable only using sieve with optimazation?

Last edit: 2017-06-17 16:20:53
kspoj: 2017-06-10 09:35:01

Guys, I've tried using Miller Rabin test as suggested, but my code's failing in this test case :
10
5915587277
1500450271
3267000013
5754853343
4093082899
9576890767
3628273133
2860486313
5463458053
3367900313

all are primes, but my code is showing NO for some of these.
Could you please tell me what I should look out for.

( I'm using 500 iterations BTW)

Last edit: 2017-06-10 09:35:25
rohit9934: 2017-05-08 16:02:07

The only thing that can screw you up is overflow WA

caohoangtung: 2017-04-01 19:50:06

First time using Miller Rabin :D learnt alot

nilabja16180: 2017-03-25 15:41:52

20 iteration gives 0.15 sec, 100 iteration produces result in 0.74 sec, 1000 iteration produces result in 7.84 sec!

epsilonalpha: 2017-03-14 20:49:32

0.05s with 7-base deterministic Miller Rabin and 0.09s with 12-base deterministic Miller Rabin in C++. :)

thinkwise: 2017-02-22 17:52:36

Ohh man why i am getting tle man


Added by:Roman Sol
Date:2005-01-24
Time limit:21s
Source limit:5000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ADA95 ASM32 BASH CSHARP CLPS D ERL FORTRAN ICON JAVA JS-RHINO LUA NEM NICE PHP PIKE ST
Resource:ZCon 2005