diff --git a/DIRECTORY.md b/DIRECTORY.md
index f0f494e7a3b41aaf046c97ffa71bcbd255341d7d..6f14f74fd0f7344b502bc473b56d775c3afe84ef 100644
--- a/DIRECTORY.md
+++ b/DIRECTORY.md
@@ -340,6 +340,8 @@
   * [Astar](https://github.com/TheAlgorithms/Python/blob/master/machine_learning/astar.py)
   * [Data Transformations](https://github.com/TheAlgorithms/Python/blob/master/machine_learning/data_transformations.py)
   * [Decision Tree](https://github.com/TheAlgorithms/Python/blob/master/machine_learning/decision_tree.py)
+  * Forecasting
+    * [Run](https://github.com/TheAlgorithms/Python/blob/master/machine_learning/forecasting/run.py)
   * [Gaussian Naive Bayes](https://github.com/TheAlgorithms/Python/blob/master/machine_learning/gaussian_naive_bayes.py)
   * [Gradient Boosting Regressor](https://github.com/TheAlgorithms/Python/blob/master/machine_learning/gradient_boosting_regressor.py)
   * [Gradient Descent](https://github.com/TheAlgorithms/Python/blob/master/machine_learning/gradient_descent.py)
@@ -630,6 +632,8 @@
     * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_036/sol1.py)
   * Problem 037
     * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_037/sol1.py)
+  * Problem 038
+    * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_038/sol1.py)
   * Problem 039
     * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_039/sol1.py)
   * Problem 040
@@ -716,7 +720,6 @@
     * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_234/sol1.py)
   * Problem 551
     * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_551/sol1.py)
-  * [Validate Solutions](https://github.com/TheAlgorithms/Python/blob/master/project_euler/validate_solutions.py)
 
 ## Quantum
   * [Deutsch Jozsa](https://github.com/TheAlgorithms/Python/blob/master/quantum/deutsch_jozsa.py)
diff --git a/maths/ceil.py b/maths/ceil.py
index ac86798a357f53127b236927ffcdff348699b1eb..97578265c1a9738136a998d277a9f09f6e210960 100644
--- a/maths/ceil.py
+++ b/maths/ceil.py
@@ -1,3 +1,8 @@
+"""
+https://en.wikipedia.org/wiki/Floor_and_ceiling_functions
+"""
+
+
 def ceil(x) -> int:
     """
     Return the ceiling of x as an Integral.
@@ -10,9 +15,7 @@ def ceil(x) -> int:
     ...     in (1, -1, 0, -0, 1.1, -1.1, 1.0, -1.0, 1_000_000_000))
     True
     """
-    return (
-        x if isinstance(x, int) or x - int(x) == 0 else int(x + 1) if x > 0 else int(x)
-    )
+    return int(x) if x - int(x) <= 0 else int(x) + 1
 
 
 if __name__ == "__main__":
diff --git a/maths/floor.py b/maths/floor.py
index 41bd5ecb3cd7eafec23346ee504cb48045012fe7..482250f5e59e97978d8c8fe122b7dc8c067bbe4f 100644
--- a/maths/floor.py
+++ b/maths/floor.py
@@ -1,18 +1,19 @@
+"""
+https://en.wikipedia.org/wiki/Floor_and_ceiling_functions
+"""
+
+
 def floor(x) -> int:
     """
     Return the floor of x as an Integral.
-
     :param x: the number
     :return: the largest integer <= x.
-
     >>> import math
     >>> all(floor(n) == math.floor(n) for n
     ...     in (1, -1, 0, -0, 1.1, -1.1, 1.0, -1.0, 1_000_000_000))
     True
     """
-    return (
-        x if isinstance(x, int) or x - int(x) == 0 else int(x) if x > 0 else int(x - 1)
-    )
+    return int(x) if x - int(x) >= 0 else int(x) - 1
 
 
 if __name__ == "__main__":