Prompt
def fibonacci(n):
if n <= 1:
return n
else:
return fibonacci(n-1) + fibonacci(n-2)
n = 10
result = fibonacci(n)
print(result)
Answer
Python Code Visualization using DOT Notation
digraph {
rankdir=TB;
node [shape=box];
fibonacci [label="fibonacci(n)"];
base_case [label="n <= 1\nreturn n"];
recursive_case [label="return fibonacci(n-1) + fibonacci(n-2)"];
fibonacci -> base_case [label="n <= 1"];
fibonacci -> recursive_case [label="n > 1"];
recursive_case -> fibonacci [label="n-1"];
recursive_case -> fibonacci [label="n-2"];
n -> fibonacci;
result -> fibonacci;
fibonacci -> result;
result -> print;
print [label="print(result)"];
}
Main Points:
- The DOT notation visualizes the code structure and relations of the Fibonacci function.
- It shows the base case and the recursive case in the function.
- The function calls itself recursively with
n-1
andn-2
until it reaches the base case. - The code snippet sets
n = 10
, calculates the Fibonacci number forn
, and prints the result.
This visualization helps in understanding the flow of the Fibonacci function and how the recursive calls are made to compute the result for a given input n
.
Description
Illustration of Fibonacci function structure and recursion explained through DOT notation for n = 10, aiding comprehension of recursive calls and result calculation.
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