Prime checking

A number is considered prime if it’s only divisible by itself and by 1 (exactly two numbers).

Implement a function is_prime(n) that would return True if n is prime and False otherwise.

The input contains a single integer n (1 ≤ n ≤ ).

The program should print Yes if n is prime and No otherwise.

Input

Output

7

Yes

1

No

8

No

5

Yes

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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