Is Odd Indices Alpha Even Indices Digits

Check if odd-indexed chars are alphabets and even-indexed chars are digits.

Your task

Implement this function:

def is_odd_indices_alpha_and_even_indices_digits(s: str) -> bool:

Write the function only — the arguments are read for you and the return value is printed automatically.

Arguments arrive as one Python literal per line, in this order: s.

Example

Input

'1a2b3c'

Output

True