Higher-Order Functions

Problem Statement

Use map, filter, and reduce to process data.

Background

Python provides functional programming tools:

• map(func, iterable) - apply function to each element
• filter(func, iterable) - keep elements where func returns True
• reduce(func, iterable) - combine elements pairwise (from functools)

Your Task

Write a function process_numbers(numbers) that applies various higher-order functions.

Output Format

Return a dictionary with:

• "doubled": All numbers doubled (use map)
• "evens": Only even numbers (use filter)
• "product": Product of all numbers (use reduce)
• "sum_of_squares": Sum of squared numbers (use map+reduce)