What is the Fibonacci sequence and its complexity analysis?
An example of an AI chatbot conversation about Fibonacci sequence and its complexity analysis.
What is the Fibonacci sequence?
The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1.
Can you explain how to calculate Fibonacci numbers?
Sure! You can calculate Fibonacci numbers using recursion, iteration, or even using Binet's formula for direct computation.
What is the time complexity of the recursive method?
The time complexity of the naive recursive method is O(2^n), which is inefficient for large n due to repeated calculations.
Are there more efficient ways to compute Fibonacci numbers?
Yes, using dynamic programming or matrix exponentiation can reduce the time complexity to O(n) or even O(log n).
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