From 91b6ee63993357a3407a86a377749b7dae0db812 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Thu, 15 Oct 2020 17:04:06 -0400
Subject: [PATCH 01/37] Create distance_formula.py

---
 maths/distance_formula.py | 15 +++++++++++++++
 1 file changed, 15 insertions(+)
 create mode 100644 maths/distance_formula.py

diff --git a/maths/distance_formula.py b/maths/distance_formula.py
new file mode 100644
index 000000000000..4155eacef683
--- /dev/null
+++ b/maths/distance_formula.py
@@ -0,0 +1,15 @@
+def distance_formula(x1,y1,x2,y2):
+    """
+    Calculate the distance between the two coordinates (x1,y1) and (x2,y2).
+    >>> distance_formula(0, 0, 2, 2)
+      2.8284271247461903
+    >>> distance_formula(1, 0, 5, 2)
+      4.47213595499958
+    >>> distance_formula(0, 0, 5, 0)
+      5.0
+    """
+    return ((y2-y1) ** 2  + (x2-x1) ** 2) ** (1/2)
+
+
+if __name__ == "__main__":
+  print(distance_formula(0,0,2,2))

From eb044a3178a2c78b8d0706267e549d923fdcfd23 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Thu, 15 Oct 2020 17:18:56 -0400
Subject: [PATCH 02/37] Remove whitespace

---
 maths/distance_formula.py | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/maths/distance_formula.py b/maths/distance_formula.py
index 4155eacef683..1f1128bb14e4 100644
--- a/maths/distance_formula.py
+++ b/maths/distance_formula.py
@@ -2,11 +2,11 @@ def distance_formula(x1,y1,x2,y2):
     """
     Calculate the distance between the two coordinates (x1,y1) and (x2,y2).
     >>> distance_formula(0, 0, 2, 2)
-      2.8284271247461903
+    2.8284271247461903
     >>> distance_formula(1, 0, 5, 2)
-      4.47213595499958
+    4.47213595499958
     >>> distance_formula(0, 0, 5, 0)
-      5.0
+    5.0
     """
     return ((y2-y1) ** 2  + (x2-x1) ** 2) ** (1/2)
 

From 861ce33cce4546ce807b7acd63aa710773157d1e Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Thu, 15 Oct 2020 17:25:01 -0400
Subject: [PATCH 03/37] Update distance_formula.py

---
 maths/distance_formula.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/maths/distance_formula.py b/maths/distance_formula.py
index 1f1128bb14e4..936e248dcbb3 100644
--- a/maths/distance_formula.py
+++ b/maths/distance_formula.py
@@ -12,4 +12,4 @@ def distance_formula(x1,y1,x2,y2):
 
 
 if __name__ == "__main__":
-  print(distance_formula(0,0,2,2))
+    print(distance_formula(0,0,2,2))

From 9102f3e99b0fb6b928a8c37321046fa77c0af7ce Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Thu, 15 Oct 2020 17:31:07 -0400
Subject: [PATCH 04/37] Update distance_formula.py

---
 maths/distance_formula.py | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/maths/distance_formula.py b/maths/distance_formula.py
index 936e248dcbb3..dec448b9bce0 100644
--- a/maths/distance_formula.py
+++ b/maths/distance_formula.py
@@ -1,4 +1,4 @@
-def distance_formula(x1,y1,x2,y2):
+def distance_formula(x1, y1, x2, y2):
     """
     Calculate the distance between the two coordinates (x1,y1) and (x2,y2).
     >>> distance_formula(0, 0, 2, 2)
@@ -8,8 +8,8 @@ def distance_formula(x1,y1,x2,y2):
     >>> distance_formula(0, 0, 5, 0)
     5.0
     """
-    return ((y2-y1) ** 2  + (x2-x1) ** 2) ** (1/2)
+    return ((y2 - y1) ** 2  + (x2 - x1) ** 2) ** (1 / 2)
 
 
 if __name__ == "__main__":
-    print(distance_formula(0,0,2,2))
+    print(distance_formula(0, 0, 2, 2))

From 2cd354bf707c5af703f2f08b03dc6f50b087c6e4 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Thu, 15 Oct 2020 17:34:06 -0400
Subject: [PATCH 05/37] Update distance_formula.py

---
 maths/distance_formula.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/maths/distance_formula.py b/maths/distance_formula.py
index dec448b9bce0..2d7e6a51d7d8 100644
--- a/maths/distance_formula.py
+++ b/maths/distance_formula.py
@@ -8,7 +8,7 @@ def distance_formula(x1, y1, x2, y2):
     >>> distance_formula(0, 0, 5, 0)
     5.0
     """
-    return ((y2 - y1) ** 2  + (x2 - x1) ** 2) ** (1 / 2)
+    return ((y2 - y1) ** 2 + (x2 - x1) ** 2) ** (1 / 2)
 
 
 if __name__ == "__main__":

From 36f90ae3e6ea04556d900474874d93322807ba37 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Fri, 16 Oct 2020 09:54:46 -0400
Subject: [PATCH 06/37] Generalize

---
 maths/distance_formula.py | 23 +++++++++++++++--------
 1 file changed, 15 insertions(+), 8 deletions(-)

diff --git a/maths/distance_formula.py b/maths/distance_formula.py
index 2d7e6a51d7d8..0774ca909d86 100644
--- a/maths/distance_formula.py
+++ b/maths/distance_formula.py
@@ -1,15 +1,22 @@
-def distance_formula(x1, y1, x2, y2):
+import numpy as np
+
+def euclidean_distance(v1, v2) -> int:
     """
-    Calculate the distance between the two coordinates (x1,y1) and (x2,y2).
-    >>> distance_formula(0, 0, 2, 2)
+    Calculate the distance between the two the endpoints of two vectors, v1 and v2.
+    >>> euclidean_distance(np.array([0, 0]), np.array([2, 2]))
     2.8284271247461903
-    >>> distance_formula(1, 0, 5, 2)
-    4.47213595499958
-    >>> distance_formula(0, 0, 5, 0)
+    >>> euclidean_distance(np.array([0, 0, 0]), np.array([2, 2, 2]))
+    3.4641016151377544
+    >>> euclidean_distance(np.array([1, 2, 3, 4]), np.array([5, 6, 7, 8]))
     5.0
     """
-    return ((y2 - y1) ** 2 + (x2 - x1) ** 2) ** (1 / 2)
+    sumSquared = 0 
+    for i in range(len(v1)):
+        sumSquared += (v1[i] - v2[i]) ** 2
 
+    return sumSquared ** (1 / 2)
 
 if __name__ == "__main__":
-    print(distance_formula(0, 0, 2, 2))
+    point = np.array([1, 2, 3, 4])
+    point2 = np.array([5, 6, 7, 8])
+    print(euclidean_distance(point, point2))   

From 9186ba98598c85ecf1edb7b382e4128352a9e61e Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Fri, 16 Oct 2020 09:57:11 -0400
Subject: [PATCH 07/37] Grammar mistake

---
 maths/distance_formula.py | 3 +--
 1 file changed, 1 insertion(+), 2 deletions(-)

diff --git a/maths/distance_formula.py b/maths/distance_formula.py
index 0774ca909d86..8e0a340f0714 100644
--- a/maths/distance_formula.py
+++ b/maths/distance_formula.py
@@ -2,7 +2,7 @@
 
 def euclidean_distance(v1, v2) -> int:
     """
-    Calculate the distance between the two the endpoints of two vectors, v1 and v2.
+    Calculate the distance between the two = endpoints of two vectors, v1 and v2.
     >>> euclidean_distance(np.array([0, 0]), np.array([2, 2]))
     2.8284271247461903
     >>> euclidean_distance(np.array([0, 0, 0]), np.array([2, 2, 2]))
@@ -13,7 +13,6 @@ def euclidean_distance(v1, v2) -> int:
     sumSquared = 0 
     for i in range(len(v1)):
         sumSquared += (v1[i] - v2[i]) ** 2
-
     return sumSquared ** (1 / 2)
 
 if __name__ == "__main__":

From 4dd283a39826ff6bd989179ef0f79723f763af18 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Fri, 16 Oct 2020 10:04:11 -0400
Subject: [PATCH 08/37] Rename distance_formula.py to euclidean_distance.py

---
 maths/{distance_formula.py => euclidean_distance.py} | 0
 1 file changed, 0 insertions(+), 0 deletions(-)
 rename maths/{distance_formula.py => euclidean_distance.py} (100%)

diff --git a/maths/distance_formula.py b/maths/euclidean_distance.py
similarity index 100%
rename from maths/distance_formula.py
rename to maths/euclidean_distance.py

From 01a1ea9c78d9c41a8f53663ba5615cc76eca476c Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Fri, 16 Oct 2020 10:10:41 -0400
Subject: [PATCH 09/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 8e0a340f0714..1be268f8312e 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -2,17 +2,17 @@
 
 def euclidean_distance(v1, v2) -> int:
     """
-    Calculate the distance between the two = endpoints of two vectors, v1 and v2.
+    Calculate the distance between the two = endpoints of two vectors, v1 and v2. v1 and v2 must be the same length.
     >>> euclidean_distance(np.array([0, 0]), np.array([2, 2]))
     2.8284271247461903
     >>> euclidean_distance(np.array([0, 0, 0]), np.array([2, 2, 2]))
     3.4641016151377544
     >>> euclidean_distance(np.array([1, 2, 3, 4]), np.array([5, 6, 7, 8]))
-    5.0
+    8.0
     """
     sumSquared = 0 
     for i in range(len(v1)):
-        sumSquared += (v1[i] - v2[i]) ** 2
+        sumSquared += (v1[i] - v1[i]) ** 2
     return sumSquared ** (1 / 2)
 
 if __name__ == "__main__":

From 0451a5b5b436d25fc06f6ba9fd738f559840facf Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Fri, 16 Oct 2020 10:24:57 -0400
Subject: [PATCH 10/37] v1 - > v2

---
 maths/euclidean_distance.py | 11 ++++++-----
 1 file changed, 6 insertions(+), 5 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 1be268f8312e..488f7d0d177a 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -2,7 +2,7 @@
 
 def euclidean_distance(v1, v2) -> int:
     """
-    Calculate the distance between the two = endpoints of two vectors, v1 and v2. v1 and v2 must be the same length.
+    Calculate the distance between the two = endpoints of two vectors, v1 and v2.
     >>> euclidean_distance(np.array([0, 0]), np.array([2, 2]))
     2.8284271247461903
     >>> euclidean_distance(np.array([0, 0, 0]), np.array([2, 2, 2]))
@@ -10,12 +10,13 @@ def euclidean_distance(v1, v2) -> int:
     >>> euclidean_distance(np.array([1, 2, 3, 4]), np.array([5, 6, 7, 8]))
     8.0
     """
+
     sumSquared = 0 
     for i in range(len(v1)):
-        sumSquared += (v1[i] - v1[i]) ** 2
+        sumSquared += (v2[i] - v1[i]) ** 2
     return sumSquared ** (1 / 2)
 
 if __name__ == "__main__":
-    point = np.array([1, 2, 3, 4])
-    point2 = np.array([5, 6, 7, 8])
-    print(euclidean_distance(point, point2))   
+    point = np.array([2, 2])
+    point2 = np.array([0, 0])
+    print(euclidean_distance(point, point2))

From 3940049dc2ad9d34b5280e3acd9fa26c79ab156e Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Fri, 16 Oct 2020 13:48:04 -0400
Subject: [PATCH 11/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 488f7d0d177a..7038b1de9b6c 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -1,6 +1,6 @@
 import numpy as np
 
-def euclidean_distance(v1, v2) -> int:
+def euclidean_distance(v1, v2) -> double:
     """
     Calculate the distance between the two = endpoints of two vectors, v1 and v2.
     >>> euclidean_distance(np.array([0, 0]), np.array([2, 2]))

From de643925cd7fed99ac8dd01ac0cd4d2306770c02 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Sun, 18 Oct 2020 21:41:58 -0400
Subject: [PATCH 12/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 17 +++++++++--------
 1 file changed, 9 insertions(+), 8 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 7038b1de9b6c..86f0a096850c 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -1,20 +1,21 @@
 import numpy as np
+from typing import Union, List, Tuple
 
-def euclidean_distance(v1, v2) -> double:
+Vector = Union[List[float], List[int], Tuple[float], Tuple[int], np.ndarray]
+VectorOut = Union[np.float64, int, float]
+
+def euclidean_distance(vector_1: Vector, vector_2: Vector) -> VectorOut:
     """
-    Calculate the distance between the two = endpoints of two vectors, v1 and v2.
-    >>> euclidean_distance(np.array([0, 0]), np.array([2, 2]))
+    Calculate the distance between the two endpoints of two vectors. A vector is defined as a list, tuple, or numpy 1D array.
     2.8284271247461903
     >>> euclidean_distance(np.array([0, 0, 0]), np.array([2, 2, 2]))
     3.4641016151377544
     >>> euclidean_distance(np.array([1, 2, 3, 4]), np.array([5, 6, 7, 8]))
     8.0
+    >>> euclidean_distance([1, 2, 3, 4], [5, 6, 7, 8])
+    8.0
     """
-
-    sumSquared = 0 
-    for i in range(len(v1)):
-        sumSquared += (v2[i] - v1[i]) ** 2
-    return sumSquared ** (1 / 2)
+    return np.sqrt(np.sum((np.asarray(vector_1) - np.asarray(vector_2))**2))
 
 if __name__ == "__main__":
     point = np.array([2, 2])

From 5a092eb8b480c512fd46284d9069e094b4e5812d Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Sun, 18 Oct 2020 21:46:15 -0400
Subject: [PATCH 13/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 86f0a096850c..6b75d4648718 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -15,9 +15,9 @@ def euclidean_distance(vector_1: Vector, vector_2: Vector) -> VectorOut:
     >>> euclidean_distance([1, 2, 3, 4], [5, 6, 7, 8])
     8.0
     """
-    return np.sqrt(np.sum((np.asarray(vector_1) - np.asarray(vector_2))**2))
+    return np.sqrt(np.sum((np.asarray(vector_1) - np.asarray(vector_2)) ** 2))
 
 if __name__ == "__main__":
     point = np.array([2, 2])
-    point2 = np.array([0, 0])
-    print(euclidean_distance(point, point2))
+    point_2 = np.array([0, 0])
+    print(euclidean_distance(point, point_2))

From b5152b23f15622feca7515fb69ffb13e6dc84ed3 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Sun, 18 Oct 2020 21:51:20 -0400
Subject: [PATCH 14/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 5 ++++-
 1 file changed, 4 insertions(+), 1 deletion(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 6b75d4648718..857b24b9ed18 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -4,9 +4,11 @@
 Vector = Union[List[float], List[int], Tuple[float], Tuple[int], np.ndarray]
 VectorOut = Union[np.float64, int, float]
 
+
 def euclidean_distance(vector_1: Vector, vector_2: Vector) -> VectorOut:
     """
-    Calculate the distance between the two endpoints of two vectors. A vector is defined as a list, tuple, or numpy 1D array.
+    Calculate the distance between the two endpoints of two vectors.
+    A vector is defined as a list, tuple, or numpy 1D array.
     2.8284271247461903
     >>> euclidean_distance(np.array([0, 0, 0]), np.array([2, 2, 2]))
     3.4641016151377544
@@ -17,6 +19,7 @@ def euclidean_distance(vector_1: Vector, vector_2: Vector) -> VectorOut:
     """
     return np.sqrt(np.sum((np.asarray(vector_1) - np.asarray(vector_2)) ** 2))
 
+
 if __name__ == "__main__":
     point = np.array([2, 2])
     point_2 = np.array([0, 0])

From a1b9a868b5bdac9295ae1d84a0835130ea825e79 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Sun, 18 Oct 2020 21:54:55 -0400
Subject: [PATCH 15/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 1 +
 1 file changed, 1 insertion(+)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 857b24b9ed18..f36d97bffe3d 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -1,6 +1,7 @@
 import numpy as np
 from typing import Union, List, Tuple
 
+
 Vector = Union[List[float], List[int], Tuple[float], Tuple[int], np.ndarray]
 VectorOut = Union[np.float64, int, float]
 

From ac0ff3781b231dff513048ebc761c4fa79691170 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Sun, 18 Oct 2020 21:58:11 -0400
Subject: [PATCH 16/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index f36d97bffe3d..02c87345a48a 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -1,6 +1,6 @@
-import numpy as np
-from typing import Union, List, Tuple
+from typing import List, Tuple, Union
 
+import numpy as np
 
 Vector = Union[List[float], List[int], Tuple[float], Tuple[int], np.ndarray]
 VectorOut = Union[np.float64, int, float]

From 6dad371109e657bf37c2654e80b18e92d27abb7d Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Mon, 19 Oct 2020 11:27:25 -0400
Subject: [PATCH 17/37] Update maths/euclidean_distance.py

Co-authored-by: Christian Clauss <cclauss@me.com>
---
 maths/euclidean_distance.py | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 02c87345a48a..fc7cd70a990d 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -1,8 +1,8 @@
-from typing import List, Tuple, Union
+from typing import Iterable, Union
 
 import numpy as np
 
-Vector = Union[List[float], List[int], Tuple[float], Tuple[int], np.ndarray]
+Vector = Union[Iterable[float], Iterable[int], np.ndarray]
 VectorOut = Union[np.float64, int, float]
 
 

From 36185ab0b4597dec1347f7485f1c038bf0009ed0 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Tue, 20 Oct 2020 11:14:22 -0400
Subject: [PATCH 18/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 1 +
 1 file changed, 1 insertion(+)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index fc7cd70a990d..4be5a5e8ce4a 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -10,6 +10,7 @@ def euclidean_distance(vector_1: Vector, vector_2: Vector) -> VectorOut:
     """
     Calculate the distance between the two endpoints of two vectors.
     A vector is defined as a list, tuple, or numpy 1D array.
+    >>> euclidean_distance(np.array([0, 0), np.array([2, 2]))
     2.8284271247461903
     >>> euclidean_distance(np.array([0, 0, 0]), np.array([2, 2, 2]))
     3.4641016151377544

From d69c65faf768bdc46c844beb9fbcbbffd5f24f8c Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Tue, 20 Oct 2020 11:16:20 -0400
Subject: [PATCH 19/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 4be5a5e8ce4a..af83eadd6692 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -10,7 +10,7 @@ def euclidean_distance(vector_1: Vector, vector_2: Vector) -> VectorOut:
     """
     Calculate the distance between the two endpoints of two vectors.
     A vector is defined as a list, tuple, or numpy 1D array.
-    >>> euclidean_distance(np.array([0, 0), np.array([2, 2]))
+    >>> euclidean_distance((0, 0), (2, 2))
     2.8284271247461903
     >>> euclidean_distance(np.array([0, 0, 0]), np.array([2, 2, 2]))
     3.4641016151377544

From 68635e29b4b9fae26b92b11f0cb90edd044601dd Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Wed, 21 Oct 2020 12:40:01 -0400
Subject: [PATCH 20/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 19 ++++++++++++++++++-
 1 file changed, 18 insertions(+), 1 deletion(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index af83eadd6692..35ec30dec81d 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -21,7 +21,24 @@ def euclidean_distance(vector_1: Vector, vector_2: Vector) -> VectorOut:
     """
     return np.sqrt(np.sum((np.asarray(vector_1) - np.asarray(vector_2)) ** 2))
 
-
+def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
+    """
+    Calculate the distance between the two endpoints of two vectors without numpy.
+    A vector is defined as a list, tuple, or numpy 1D array.
+    >>> euclidean_distance((0, 0), (2, 2))
+    2.8284271247461903
+    >>> euclidean_distance(np.array([0, 0, 0]), np.array([2, 2, 2]))
+    3.4641016151377544
+    >>> euclidean_distance(np.array([1, 2, 3, 4]), np.array([5, 6, 7, 8]))
+    8.0
+    >>> euclidean_distance([1, 2, 3, 4], [5, 6, 7, 8])
+    8.0
+    """
+    the_sum = 0
+    for i in range(len(vector_1)):
+            the_sum += (vector_2[i] - vector_1[i]) ** 2
+        return sumSquared ** (1 / 2)
+    
 if __name__ == "__main__":
     point = np.array([2, 2])
     point_2 = np.array([0, 0])

From aedcb59830404dc65f6701da2214366a73543dab Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Wed, 21 Oct 2020 12:43:02 -0400
Subject: [PATCH 21/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 1 +
 1 file changed, 1 insertion(+)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 35ec30dec81d..4b476d6da7be 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -39,6 +39,7 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
             the_sum += (vector_2[i] - vector_1[i]) ** 2
         return sumSquared ** (1 / 2)
     
+    
 if __name__ == "__main__":
     point = np.array([2, 2])
     point_2 = np.array([0, 0])

From 0581677a2df0b4ac4b073660940eaba51f0e0dc8 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Wed, 21 Oct 2020 12:45:03 -0400
Subject: [PATCH 22/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 4 ----
 1 file changed, 4 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 4b476d6da7be..308e9581fcd4 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -27,10 +27,6 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
     A vector is defined as a list, tuple, or numpy 1D array.
     >>> euclidean_distance((0, 0), (2, 2))
     2.8284271247461903
-    >>> euclidean_distance(np.array([0, 0, 0]), np.array([2, 2, 2]))
-    3.4641016151377544
-    >>> euclidean_distance(np.array([1, 2, 3, 4]), np.array([5, 6, 7, 8]))
-    8.0
     >>> euclidean_distance([1, 2, 3, 4], [5, 6, 7, 8])
     8.0
     """

From a278402bc662cd1dd82174e1963528091ea41440 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Wed, 21 Oct 2020 12:49:59 -0400
Subject: [PATCH 23/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 308e9581fcd4..5644c648c02a 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -34,8 +34,8 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
     for i in range(len(vector_1)):
             the_sum += (vector_2[i] - vector_1[i]) ** 2
         return sumSquared ** (1 / 2)
-    
-    
+
+
 if __name__ == "__main__":
     point = np.array([2, 2])
     point_2 = np.array([0, 0])

From e12d80735e153d3a3d97ae0688840949059ce0c4 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Wed, 21 Oct 2020 12:53:06 -0400
Subject: [PATCH 24/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 5644c648c02a..da6fdcf5a583 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -32,8 +32,8 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
     """
     the_sum = 0
     for i in range(len(vector_1)):
-            the_sum += (vector_2[i] - vector_1[i]) ** 2
-        return sumSquared ** (1 / 2)
+        the_sum += (vector_2[i] - vector_1[i]) ** 2
+    return sumSquared ** (1 / 2)
 
 
 if __name__ == "__main__":

From 3ea94fa8ef2e3d7db2324bfd7fb585b117b87155 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Wed, 21 Oct 2020 12:56:03 -0400
Subject: [PATCH 25/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 1 +
 1 file changed, 1 insertion(+)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index da6fdcf5a583..3257d08fcaad 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -21,6 +21,7 @@ def euclidean_distance(vector_1: Vector, vector_2: Vector) -> VectorOut:
     """
     return np.sqrt(np.sum((np.asarray(vector_1) - np.asarray(vector_2)) ** 2))
 
+
 def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
     """
     Calculate the distance between the two endpoints of two vectors without numpy.

From 21bba6af27234882e7db73ac06c88e9f0e272af0 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Wed, 21 Oct 2020 12:59:40 -0400
Subject: [PATCH 26/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 3257d08fcaad..94e383cd7cbb 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -34,7 +34,7 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
     the_sum = 0
     for i in range(len(vector_1)):
         the_sum += (vector_2[i] - vector_1[i]) ** 2
-    return sumSquared ** (1 / 2)
+    return the_sum ** (1 / 2)
 
 
 if __name__ == "__main__":

From 39e0b46e1546d8fde3f55d0072ad69a17eb62bde Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Sun, 25 Oct 2020 16:34:25 -0400
Subject: [PATCH 27/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 14 +++++++++++---
 1 file changed, 11 insertions(+), 3 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 94e383cd7cbb..a49386adb4d0 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -37,7 +37,15 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
     return the_sum ** (1 / 2)
 
 
+def benchmark() -> None:
+    """
+    Benchmark
+    """
+    from timeit import timeit
+    print(timeit("euclidean_distance_no_np([1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4], [5, 6, 7, 8, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4])", setup="from __main__ import euclidean_distance_no_np", number = 10000))
+    print(timeit("euclidean_distance([1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4], [5, 6, 7, 8, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4])", setup="from __main__ import euclidean_distance", number = 10000))
+
+
+
 if __name__ == "__main__":
-    point = np.array([2, 2])
-    point_2 = np.array([0, 0])
-    print(euclidean_distance(point, point_2))
+    benchmark()

From 0531471e268c5aa123ff63baad7ed09374caedef Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Sun, 25 Oct 2020 16:36:57 -0400
Subject: [PATCH 28/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 16 ++++++++++++++--
 1 file changed, 14 insertions(+), 2 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index a49386adb4d0..b182a3bedbd4 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -42,9 +42,21 @@ def benchmark() -> None:
     Benchmark
     """
     from timeit import timeit
-    print(timeit("euclidean_distance_no_np([1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4], [5, 6, 7, 8, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4])", setup="from __main__ import euclidean_distance_no_np", number = 10000))
-    print(timeit("euclidean_distance([1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4], [5, 6, 7, 8, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4])", setup="from __main__ import euclidean_distance", number = 10000))
 
+    print(
+        timeit(
+            "euclidean_distance_no_np([1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4], [5, 6, 7, 8, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4])",
+            setup="from __main__ import euclidean_distance_no_np",
+            number=10000,
+        )
+    )
+    print(
+        timeit(
+            "euclidean_distance([1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4], [5, 6, 7, 8, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4])",
+            setup="from __main__ import euclidean_distance",
+            number=10000,
+        )
+    )
 
 
 if __name__ == "__main__":

From 764f07cfc7a9aa60c5a4708c375d4385ab7682f0 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Sun, 25 Oct 2020 16:40:06 -0400
Subject: [PATCH 29/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 28 ++++++++++++++++++++++++++--
 1 file changed, 26 insertions(+), 2 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index b182a3bedbd4..43077445cc92 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -45,14 +45,38 @@ def benchmark() -> None:
 
     print(
         timeit(
-            "euclidean_distance_no_np([1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4], [5, 6, 7, 8, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4])",
+            "euclidean_distance_no_np([1, 2, 3, 4, 1, 2, 3, 4, 1, 2,
+            3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1,
+            2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3,
+            4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2,
+            3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1,
+            2, 3, 4], [5, 6, 7, 8, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4])",
             setup="from __main__ import euclidean_distance_no_np",
             number=10000,
         )
     )
     print(
         timeit(
-            "euclidean_distance([1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4], [5, 6, 7, 8, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4])",
+            "euclidean_distance([1, 2, 3, 4, 1, 2, 3, 4, 1, 2,
+            3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1,
+            2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3,
+            4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2,
+            3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1,
+            2, 3, 4], [5, 6, 7, 8, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
+            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4])",
             setup="from __main__ import euclidean_distance",
             number=10000,
         )

From 3d0cd8e4862d17379c2b770217b8c1d37cf54bcb Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Sun, 25 Oct 2020 16:45:14 -0400
Subject: [PATCH 30/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 29 +++--------------------------
 1 file changed, 3 insertions(+), 26 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 43077445cc92..6703a08dbc95 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -40,43 +40,20 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
 def benchmark() -> None:
     """
     Benchmark
+    The numpy takes longer than the non numpy for smaller vectors, but as the dimension increases, the numpy is much faster
     """
     from timeit import timeit
 
     print(
         timeit(
-            "euclidean_distance_no_np([1, 2, 3, 4, 1, 2, 3, 4, 1, 2,
-            3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1,
-            2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3,
-            4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2,
-            3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1,
-            2, 3, 4], [5, 6, 7, 8, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4])",
+            "euclidean_distance_no_np([1, 2, 3], [4, 5, 6])",
             setup="from __main__ import euclidean_distance_no_np",
             number=10000,
         )
     )
     print(
         timeit(
-            "euclidean_distance([1, 2, 3, 4, 1, 2, 3, 4, 1, 2,
-            3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1,
-            2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3,
-            4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2,
-            3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1,
-            2, 3, 4], [5, 6, 7, 8, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4,
-            1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4])",
+            "euclidean_distance([1, 2, 3], [4, 5, 6])",
             setup="from __main__ import euclidean_distance",
             number=10000,
         )

From 78d46445680b31e08a596c0e07cf0875cb4e9059 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Sun, 25 Oct 2020 16:47:59 -0400
Subject: [PATCH 31/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 6703a08dbc95..7d65b2c9bc66 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -40,7 +40,8 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
 def benchmark() -> None:
     """
     Benchmark
-    The numpy takes longer than the non numpy for smaller vectors, but as the dimension increases, the numpy is much faster
+    The numpy takes longer than the non numpy for smaller vectors, but as
+    the dimension increases, the numpy is much faster
     """
     from timeit import timeit
 

From aad0d3a75e0579f29174e0b5d72193a5dc4f3ea7 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Thu, 26 Nov 2020 23:35:32 -0500
Subject: [PATCH 32/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 13 ++++---------
 1 file changed, 4 insertions(+), 9 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 7d65b2c9bc66..00f3dd41987a 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -26,22 +26,17 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
     """
     Calculate the distance between the two endpoints of two vectors without numpy.
     A vector is defined as a list, tuple, or numpy 1D array.
-    >>> euclidean_distance((0, 0), (2, 2))
+    >>> euclidean_distance_no_np((0, 0), (2, 2))
     2.8284271247461903
-    >>> euclidean_distance([1, 2, 3, 4], [5, 6, 7, 8])
+    >>> euclidean_distance_no_np([1, 2, 3, 4], [5, 6, 7, 8])
     8.0
     """
-    the_sum = 0
-    for i in range(len(vector_1)):
-        the_sum += (vector_2[i] - vector_1[i]) ** 2
-    return the_sum ** (1 / 2)
+    return sum([(y - x) ** 2 for (y, x) in list(zip(vector_1, vector_2))]) 
 
 
 def benchmark() -> None:
     """
-    Benchmark
-    The numpy takes longer than the non numpy for smaller vectors, but as
-    the dimension increases, the numpy is much faster
+    Benchmarks
     """
     from timeit import timeit
 

From 4a082548527fe484384f5006281ed4040c0da068 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Thu, 26 Nov 2020 23:39:07 -0500
Subject: [PATCH 33/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 00f3dd41987a..d615a429d2fa 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -31,7 +31,7 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
     >>> euclidean_distance_no_np([1, 2, 3, 4], [5, 6, 7, 8])
     8.0
     """
-    return sum([(y - x) ** 2 for (y, x) in list(zip(vector_1, vector_2))]) 
+    return sum([(y - x) ** 2 for (y, x) in list(zip(vector_1, vector_2))])
 
 
 def benchmark() -> None:

From 017eb7311db6da919b358dca907d528a7ec49ce8 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Thu, 26 Nov 2020 23:45:41 -0500
Subject: [PATCH 34/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index d615a429d2fa..73220ad213fd 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -31,7 +31,7 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
     >>> euclidean_distance_no_np([1, 2, 3, 4], [5, 6, 7, 8])
     8.0
     """
-    return sum([(y - x) ** 2 for (y, x) in list(zip(vector_1, vector_2))])
+    return sum([(y - x) ** 2 for (y, x) in list(zip(vector_1, vector_2))]) ** (1 / 2)
 
 
 def benchmark() -> None:

From f16b2bbf42b27f45ec5eb4387199184d413681ec Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Thu, 26 Nov 2020 23:50:01 -0500
Subject: [PATCH 35/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 13 +++++++------
 1 file changed, 7 insertions(+), 6 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index 73220ad213fd..b36efaf85d58 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -34,27 +34,28 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
     return sum([(y - x) ** 2 for (y, x) in list(zip(vector_1, vector_2))]) ** (1 / 2)
 
 
-def benchmark() -> None:
+if __name__ == "__main__":
+  def benchmark() -> None:
     """
     Benchmarks
     """
     from timeit import timeit
-
+    print("Without Numpy")
     print(
         timeit(
             "euclidean_distance_no_np([1, 2, 3], [4, 5, 6])",
-            setup="from __main__ import euclidean_distance_no_np",
             number=10000,
+            globals=globals()
         )
     )
+    print("With Numpy")
     print(
         timeit(
             "euclidean_distance([1, 2, 3], [4, 5, 6])",
-            setup="from __main__ import euclidean_distance",
             number=10000,
+            globals=globals()
         )
     )
 
 
-if __name__ == "__main__":
-    benchmark()
+  benchmark()

From 8e83ae685cdfe17027a3312aa088f03126a117fa Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Thu, 26 Nov 2020 23:55:14 -0500
Subject: [PATCH 36/37] Update euclidean_distance.py

---
 maths/euclidean_distance.py | 43 +++++++++++++++++++------------------
 1 file changed, 22 insertions(+), 21 deletions(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index b36efaf85d58..f4cac89005ff 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -35,27 +35,28 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
 
 
 if __name__ == "__main__":
-  def benchmark() -> None:
-    """
-    Benchmarks
-    """
-    from timeit import timeit
-    print("Without Numpy")
-    print(
-        timeit(
-            "euclidean_distance_no_np([1, 2, 3], [4, 5, 6])",
-            number=10000,
-            globals=globals()
+
+    def benchmark() -> None:
+        """
+        Benchmarks
+        """
+        from timeit import timeit
+
+        print("Without Numpy")
+        print(
+            timeit(
+                "euclidean_distance_no_np([1, 2, 3], [4, 5, 6])",
+                number=10000,
+                globals=globals(),
+            )
         )
-    )
-    print("With Numpy")
-    print(
-        timeit(
-            "euclidean_distance([1, 2, 3], [4, 5, 6])",
-            number=10000,
-            globals=globals()
+        print("With Numpy")
+        print(
+            timeit(
+                "euclidean_distance([1, 2, 3], [4, 5, 6])",
+                number=10000,
+                globals=globals(),
+            )
         )
-    )
-
 
-  benchmark()
+    benchmark()

From ccdd50e7700a67ea1835d0fd76c1c14733c66304 Mon Sep 17 00:00:00 2001
From: Andrew <54547089+ac-tam@users.noreply.github.com>
Date: Fri, 27 Nov 2020 09:29:11 -0500
Subject: [PATCH 37/37] Update maths/euclidean_distance.py

Co-authored-by: Christian Clauss <cclauss@me.com>
---
 maths/euclidean_distance.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/maths/euclidean_distance.py b/maths/euclidean_distance.py
index f4cac89005ff..6e0da6370219 100644
--- a/maths/euclidean_distance.py
+++ b/maths/euclidean_distance.py
@@ -31,7 +31,7 @@ def euclidean_distance_no_np(vector_1: Vector, vector_2: Vector) -> VectorOut:
     >>> euclidean_distance_no_np([1, 2, 3, 4], [5, 6, 7, 8])
     8.0
     """
-    return sum([(y - x) ** 2 for (y, x) in list(zip(vector_1, vector_2))]) ** (1 / 2)
+    return sum((v1 - v2) ** 2 for v1, v2 in zip(vector_1, vector_2)) ** (1 / 2)
 
 
 if __name__ == "__main__":