Adaptive Fibonacci Sequence Generator

Adaptive algorithms adjust their behavior based on the input data. This challenge asks you to implement an adaptive algorithm for generating Fibonacci numbers. The algorithm should dynamically adjust its approach (iterative vs. recursive) based on the requested number of Fibonacci numbers to generate, optimizing for performance.

Problem Description

You are tasked with creating a function adaptive_fibonacci(n) that generates the first n Fibonacci numbers. The function should intelligently choose between an iterative and a recursive approach to Fibonacci generation.

• For small values of n (n <= 10), use a recursive approach. Recursion is often more readable for small problems.
• For larger values of n (n > 10), use an iterative approach. Iteration is generally more efficient for larger sequences, avoiding the overhead of recursive function calls.

The function should return a list containing the first n Fibonacci numbers. The Fibonacci sequence starts with 0 and 1.

Key Requirements:

• The function must handle n = 0 correctly, returning an empty list.
• The function must handle n = 1 correctly, returning [0].
• The function must handle n = 2 correctly, returning [0, 1].
• The function must be efficient for both small and large values of n.
• The function must be well-documented and readable.

Examples

Example 1:

Input: 5
Output: [0, 1, 1, 2, 3]
Explanation: The first 5 Fibonacci numbers are 0, 1, 1, 2, and 3.  The recursive approach is used because n <= 10.

Example 2:

Input: 20
Output: [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181]
Explanation: The first 20 Fibonacci numbers are generated. The iterative approach is used because n > 10.

Example 3:

Input: 0
Output: []
Explanation:  An empty list is returned when n is 0.

Constraints

• n will be a non-negative integer.
• n will be between 0 and 1000 (inclusive).
• The function should execute within a reasonable time limit (e.g., less than 1 second for n = 1000). While not strictly enforced, performance is a consideration.
• The Fibonacci numbers should be integers.

Notes

• Consider the trade-offs between recursion and iteration in terms of performance and readability.
• Think about how to efficiently implement the iterative Fibonacci sequence generation.
• The adaptive nature of the algorithm is key – it should dynamically choose the best approach based on the input.
• Clear and concise code is highly valued. Use comments to explain your logic.