Logic Visualizer | Python

Fibonacci Sequence Recursive Calculation Visualization

Explanation of a recursive function to calculate Fibonacci sequence and visualization of its calculation up to the 10th element.


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Prompt

def fibonacci(n):
    if n <= 1:
        return n
    else:
        return fibonacci(n-1) + fibonacci(n-2)

for i in range(10):
    print(fibonacci(i))

Answer

Visual Representation of Fibonacci Sequence Calculation

Pseudocode:

function fibonacci(n)
    if n is less than or equal to 1
        return n
    else
        return fibonacci(n-1) + fibonacci(n-2)

for i in range(10)
    print fibonacci(i)

Flow of Logic:

  1. The fibonacci function takes an integer n as input.
  2. If n is less than or equal to 1, it returns n.
  3. Otherwise, it recursively calls the fibonacci function for n-1 and n-2, and returns the sum of the results.
  4. Within a loop from 0 to 9 (range of 10), the fibonacci function is called for each iteration.
  5. The result of the fibonacci function for each i is printed.

Annotations:

  • The function recursively calculates the Fibonacci sequence.
  • The base case is when n is less than or equal to 1, returning n.
  • Each call reduces n by 1 and 2 respectively, summing the results.
  • The loop iterates from 0 to 9, printing the Fibonacci numbers.

This visualization simplifies the recursive nature of the Fibonacci sequence calculation and illustrates the sequential computation of Fibonacci numbers up to the 10th element.

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Description

Explanation of a recursive function to calculate Fibonacci sequence and visualization of its calculation up to the 10th element.

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