Asksia AI LOGO

Sia

fuzixin621's Question
Computer Science
Posted 3 months ago
def F(n):
if n == 1: return 1
elif n == 2: return 1
else: return F(n-1) + F(n-2),so f(5) equal to what
Sign in to unlock the answer
Answer from Sia
Posted 3 months ago
python
python
Explanation
The function F is defined to calculate the nth Fibonacci number recursively. The base cases return 1 for the first two numbers in the Fibonacci sequence. For all other cases, the function calls itself with the previous two numbers until it reaches the base cases. The main function tests the F function with two use cases to ensure it works correctly.
Step-by-step Instruction
Include base cases for when n is 1 or 2, returning 1 as per the Fibonacci sequence
For other cases, recursively call F with (n-1) and (n-2) and return their sum
Define the main function to test the F function with specific use cases
Use assert statements to verify the correctness of the F function for known Fibonacci numbers
Time Complexity
The time complexity of the recursive Fibonacci function is exponential, specifically O(2^n), because it makes two recursive calls for each non-base case.
Space Complexity
The space complexity is O(n) due to the maximum depth of the recursion call stack.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages
Strong algorithms that better know you
Early access to new release features
Study Other Question