It seems the problem statement you intended to share is missing (the image/content didn’t load properly). Could you please clearly describe the problem you need help with—including details like the task to perform, input format, output requirements, and any examples? Once you provide these details, I can write an efficient Python function to solve it and explain the solution thoroughly.

For example, if your problem was something like "Calculate the factorial of a non-negative integer", here’s how I’d respond:
Problem: Compute the factorial of a given non-negative integer (n) (where (0! =1), (n! =n\times(n-1)\times\ldots\times1)).

Python Function:

def factorial(n):
    if n ==0:
        return 1
    result = 1
    for i in range(1, n+1):
        result *=i
    return result

Explanation:

• Base case: (0!) is 1 by definition.
• For (n>0), iterate from 1 to (n) and multiply all numbers together to get the factorial. This runs in (O(n)) time (linear) and uses (O(1)) extra space (constant), making it efficient for typical input sizes.

Example Usage:

print(factorial(5))  # Output:120
print(factorial(0))  # Output:1

Share your actual problem, and I’ll tailor the solution accordingly!

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