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The Fibonacci Numbers

Explore the fundamentals of Fibonacci numbers, their recursive formulation, and the challenges of exponential time complexity in naive recursion. Understand the significance of base cases and recursive steps, and prepare to optimize these algorithms for better efficiency.

What are the Fibonacci numbers?

Fibonacci numbers are a series of numbers given by the following set of formulas:

Fib(0)=0Fib(0) = 0

Fib(1)=1Fib(1) = 1

Fib(n)=Fib(n1)+Fib ...