Prime Check (fast)

MEDIUM · C · 2000ms

A student's program needs to check primality of large numbers efficiently for a cryptography demo Farhan is preparing. Read an integer N. Print "PRIME" or "NOT PRIME". Your check must run in O(sqrt(N)), not O(N).

Input

One integer N.

Output

"PRIME" or "NOT PRIME".

Constraints

2 ≤ N ≤ 10^12

Sample Input

97

Sample Output

PRIME
main.c
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Prime Check (fast) · DIU ContestHub