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gufengyi06's Question
Computer Science
Posted 4 months ago

3. A powerful method in control flow is recursion. A function acts recursively if it calls itself while being
executed. This is often useful when a large computation can be reduced to the same calculation on smaller
parts.
Here's an example:
def count_down(n)
if n > 0:
print(n)
count_down(n-1)
elif n ==0:
print('Boom!')
This function counts down from a given integer, and then prints Boom when it gets to zero.
Use recursion to write a function that returns n!, where
2.1.
n!=n.(n-1).(n- . - 2) .
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Answer from Sia
Posted 4 months ago
Explanation
The student is asking for a recursive function to calculate the factorial of a number nn.
Step-by-step Instruction
The function should call itself with a decremented value of nn until it reaches 1
Define concrete use cases and testing cases for the function: When the function is called with a positive integer, it should return the factorial of that integer


Here is the code to achieve this:

python
python
Time Complexity
The time complexity of the recursive factorial function is O(n)O(n) because it makes nn recursive calls.
Space Complexity
The space complexity is also O(n)O(n) due to the nn recursive calls that add to the call stack.

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