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NazareAI is redefining the workforce with its Autonomous AI Workforce solution—tackling scalability, cost, and efficiency challenges in one fell swoop. This demo spotlights the Python Programmer AI, a specialized agent engineered to deliver expert-level coding solutions, technical architecture guidance, and implementation best practices for Python-based projects.
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NazareAI Python Programmer provides two types of responses:
Default Mode: Provides detailed explanations along with the code, including:
Code-Only Mode: When users add [CODE ONLY]
at the end of their prompt, it provides:
User: Create a function to calculate Fibonacci numbers recursively
AI: To create a recursive function for calculating Fibonacci numbers, we need to understand that the sequence is defined as:
- F(0) = 0
- F(1) = 1
- For n > 1, F(n) = F(n-1) + F(n-2)
Below is a Python implementation of such a function:
```python
def fibonacci_recursive(n):
"""
Calculate the nth Fibonacci number recursively.
Args:
n (int): The index of the Fibonacci sequence (0-indexed).
Returns:
int: The nth Fibonacci number.
Raises:
ValueError: If n is negative or not an integer.
"""
# Error handling for invalid input
if not isinstance(n, int):
raise TypeError("Input must be an integer.")
if n < 0:
raise ValueError("Input must be a non-negative integer.")
# Base cases
if n == 0:
return 0
elif n == 1:
return 1
# Recursive case
return fibonacci_recursive(n - 1) + fibonacci_recursive(n - 2)
# Example usage with error handling
if __name__ == "__main__":
try:
print(fibonacci_recursive(10)) # Output: 55 (Fibonacci number at index 10)
print(fibonacci_recursive(-5)) # Raises ValueError
except Exception as e:
print("Error:", e)
### Key Technical Notes:
1. **Recursion**: This implementation uses the recursive definition of Fibonacci numbers to calculate each term by adding two preceding terms.
2. **Time Complexity**: The time complexity for calculating `fibonacci_recursive` is exponential, O(2^n), due to its recursive nature and constant space used per
call (`O(n)`). For large inputs, this can lead to performance issues.
3. **Space Complexity**: Space usage is also linear in terms of recursion depth (since each function call has a stack frame).
4. **Memoization or Iteration**: To improve efficiency, consider using memoization or an iterative approach like the "Matrix Exponentiation" method which would
reduce time complexity to O(log n) and space complexity to O(1). Here’s how you could implement it iteratively:
```python
def fibonacci_iterative(n):
if not isinstance(n, int):
raise TypeError("Input must be an integer.")
if n < 0:
raise ValueError("Input must be a non-negative integer.")
# Initialize variables to store previous two Fibonacci numbers
prev1, prev2 = 0, 1
for _ in range(2, n + 1):
curr = prev1 + prev2
prev1 = prev2
prev2 = curr
return curr
# Example usage with error handling remains unchanged.
This iterative approach is more efficient and suitable for larger inputs while retaining the same functionality as your recursive implementation.
User: Create a function to calculate Fibonacci numbers recursively [CODE ONLY]
AI:
```python
def fibonacci_recursive(n):
if not isinstance(n, int):
raise TypeError("Input must be an integer.")
if n < 0:
raise ValueError("Input must be a non-negative integer.")
# Base cases
if n == 0:
return 0
elif n == 1:
return 1
# Recursive case
return fibonacci_recursive(n - 1) + fibonacci_recursive(n - 2)