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Java Primality Test

A prime number is a natural number greater than 1 whose only positive divisors are 1 and itself. For example, the first six prime numbers are 2, 3, 5, 7, 11, and 13.

Given a large integer, n, use the Java BigInteger class' isProbablePrime method to determine and print whether it's prime or not prime.

Input Format

A single line containing an integer, n (the number to be checked).

Constraints

  • n contains at most digits.

Output Format

If n is a prime number, print prime; otherwise, print not prime.

Sample Input

13

##v Sample Output

prime

Explanation

The only positive divisors of 13 are 1 and 13, so we print prime.