Sum Of Squares

Write a function sum_of_squares(numbers) that takes a list of numbers and returns the sum of their squares. An empty list gives 0. Use a comprehension rather than an explicit loop.

Example

sum_of_squares([1, 2, 3])  ->  14

Your task

Implement this function:

def sum_of_squares(numbers: list):

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: numbers.

Example

Input

[1, 2, 3]

Output

14