From 83f185ad29f6e69a8908b5c86efaa88573a6fd86 Mon Sep 17 00:00:00 2001
From: Sourabhyadav09 <146635956+Sourabhyadav09@users.noreply.github.com>
Date: Thu, 30 Oct 2025 01:50:51 +0530
Subject: [PATCH 1/2] Added factorial_recursive.py with doctests and
 descriptive parameter name

---
 maths/factorial_recursive.py | 36 ++++++++++++++++++++++++++++++++++++
 1 file changed, 36 insertions(+)
 create mode 100644 maths/factorial_recursive.py

diff --git a/maths/factorial_recursive.py b/maths/factorial_recursive.py
new file mode 100644
index 000000000000..1aacafeacc11
--- /dev/null
+++ b/maths/factorial_recursive.py
@@ -0,0 +1,36 @@
+"""
+Recursive factorial implementation.
+
+Reference: https://en.wikipedia.org/wiki/Factorial
+"""
+
+def factorial(number: int) -> int:
+    """
+    Calculate the factorial of a non-negative integer recursively.
+
+    Parameters:
+        number (int): A non-negative integer whose factorial is to be calculated.
+
+    Returns:
+        int: The factorial of the input number.
+
+    Raises:
+        ValueError: If the input number is negative.
+
+    Examples:
+        >>> factorial(0)
+        1
+        >>> factorial(1)
+        1
+        >>> factorial(5)
+        120
+    """
+    if number < 0:
+        raise ValueError("number must be non-negative")
+    if number <= 1:
+        return 1
+    return number * factorial(number - 1)
+
+
+if __name__ == "__main__":
+    print(factorial(5))

From 23956feb88a19807e7ffa343d943779afd07bac4 Mon Sep 17 00:00:00 2001
From: "pre-commit-ci[bot]"
 <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Date: Wed, 29 Oct 2025 20:24:54 +0000
Subject: [PATCH 2/2] [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci
---
 maths/factorial_recursive.py | 1 +
 1 file changed, 1 insertion(+)

diff --git a/maths/factorial_recursive.py b/maths/factorial_recursive.py
index 1aacafeacc11..dd7d2b860722 100644
--- a/maths/factorial_recursive.py
+++ b/maths/factorial_recursive.py
@@ -4,6 +4,7 @@
 Reference: https://en.wikipedia.org/wiki/Factorial
 """
 
+
 def factorial(number: int) -> int:
     """
     Calculate the factorial of a non-negative integer recursively.