From 9104cb812c16fdcbaf1ecf02120981130687f2e9 Mon Sep 17 00:00:00 2001
From: shellhub <shellhub.me@gmail.com>
Date: Tue, 8 Jun 2021 16:51:44 +0800
Subject: [PATCH 1/2] sum of factorial

---
 maths/sum_of_factorial.py | 62 +++++++++++++++++++++++++++++++++++++++
 1 file changed, 62 insertions(+)
 create mode 100644 maths/sum_of_factorial.py

diff --git a/maths/sum_of_factorial.py b/maths/sum_of_factorial.py
new file mode 100644
index 0000000..d1d3605
--- /dev/null
+++ b/maths/sum_of_factorial.py
@@ -0,0 +1,62 @@
+def sum_of_factorial(number: int) -> int:
+    """
+    >>> sum_of_factorial(0)
+    0
+    >>> sum_of_factorial(1)
+    1
+    >>> sum_of_factorial(2)
+    3
+    >>> sum_of_factorial(5)
+    153
+    """
+    sum_factorial = 0
+    factorial = 1
+    for i in range(1, number + 1):
+        factorial *= i
+        sum_factorial = sum_factorial + factorial
+
+    return sum_factorial
+
+
+def sum_of_factorial_circle_plus_recursion(number: int) -> int:
+    """
+    >>> sum_of_factorial_circle_plus_recursion(0)
+    0
+    >>> sum_of_factorial_circle_plus_recursion(1)
+    1
+    >>> sum_of_factorial_circle_plus_recursion(2)
+    3
+    >>> sum_of_factorial_circle_plus_recursion(5)
+    153
+    """
+    sum_factorial = 0
+    from math import factorial
+    for i in range(1, number + 1):
+        sum_factorial += factorial(i)
+    return sum_factorial
+
+
+def sum_of_factorial_pure_recursion(number: int) -> int:
+    """
+    >>> sum_of_factorial_pure_recursion(0)
+    0
+    >>> sum_of_factorial_pure_recursion(1)
+    1
+    >>> sum_of_factorial_pure_recursion(2)
+    3
+    >>> sum_of_factorial_pure_recursion(5)
+    153
+    """
+    if number == 1 or number == 0:
+        return number  # 1! or 0!
+    elif number == 2:
+        return 3  # 1! + 2!
+    else:
+        return sum_of_factorial_pure_recursion(number - 1) + (
+                    sum_of_factorial_pure_recursion(number - 1) - sum_of_factorial_pure_recursion(number - 2)) * number
+
+
+if __name__ == "__main__":
+    from doctest import testmod
+
+    testmod()

From 739332f5bbccb42fac9f162550e2c04b2e40ce94 Mon Sep 17 00:00:00 2001
From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Date: Tue, 8 Jun 2021 08:52:39 +0000
Subject: [PATCH 2/2] Formatted with psf/black

---
 maths/sum_of_factorial.py | 11 +++++++++--
 1 file changed, 9 insertions(+), 2 deletions(-)

diff --git a/maths/sum_of_factorial.py b/maths/sum_of_factorial.py
index d1d3605..4f19a00 100644
--- a/maths/sum_of_factorial.py
+++ b/maths/sum_of_factorial.py
@@ -31,6 +31,7 @@ def sum_of_factorial_circle_plus_recursion(number: int) -> int:
     """
     sum_factorial = 0
     from math import factorial
+
     for i in range(1, number + 1):
         sum_factorial += factorial(i)
     return sum_factorial
@@ -52,8 +53,14 @@ def sum_of_factorial_pure_recursion(number: int) -> int:
     elif number == 2:
         return 3  # 1! + 2!
     else:
-        return sum_of_factorial_pure_recursion(number - 1) + (
-                    sum_of_factorial_pure_recursion(number - 1) - sum_of_factorial_pure_recursion(number - 2)) * number
+        return (
+            sum_of_factorial_pure_recursion(number - 1)
+            + (
+                sum_of_factorial_pure_recursion(number - 1)
+                - sum_of_factorial_pure_recursion(number - 2)
+            )
+            * number
+        )
 
 
 if __name__ == "__main__":