Prime string check

A string is a prime string when both its length and the sum of the ASCII codes of its characters are prime numbers. Print Yes or No.

Reported in: Capgemini (2026 batch) (memory-based)

Input

One line: the string (no spaces).

Output

Yes or No.

Constraints

1 ≤ length ≤ 1000.

Example 1

Input:
ad

Output:
Yes

Example 2

Input:
abc

Output:
No

Hint: Write one is_prime function and use it twice.

All coding practice