Dsa Recursion Factorial

In this tutorial, you'll learn about How to Fix Factorial Recursion Errors. We cover key concepts, practical examples, and best practices.

Fix factorial recursion errors when base case returns 0 instead of 1 causing all results to be 0.

Quick Fix

Wrong

def fact(n):
    if n==0: return 0  # WRONG
    return n*fact(n-1)

Base case 0! = 0. 0*anything = 0. All results become 0.

Right

def fact(n):
    if n<=1: return 1
    return n*fact(n-1)

fact(5)=120, fact(0)=1. O(n) time, O(n) recursion stack.

Prevention

Base case: 0! = 1 and 1! = 1. Recurrence: n! = n * (n-1)!.

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