Abs Diff Between Sum And Sum Of Squares

Given two integers, find the absolute difference between their sum and the sum of their squares. Example: a=2, b=3 => 8

Your task

Implement this function:

def abs_diff_between_sum_and_sum_of_squares(a: int, b: int) -> int:

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: a, b.

Example

Input

2
3

Output

8