[pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

Author: pre-commit-ci[bot]

dynamic_programming/lucas_function.py

@@ -1,28 +1,29 @@
-#Giving the output 
+# Giving the output
 def lucas_func(n):
-    #PREDFINING THE VALUES
+    # PREDFINING THE VALUES
     a = 2
     b = 1
-    
+
     if n == 0:
         return a
- 
-    # GENERATING THE NUMBER 
+
+    # GENERATING THE NUMBER
     for i in range(2, n + 1):
         c = a + b
         a = b
         b = c
-    
+
     return b
-    
-# USER INPUT 
+
+
+# USER INPUT
 n = int(input("Enter the position n to find the nth Lucas Number: "))
 print(f"The {n}th Lucas Number is: {lucas_func(n)}")
 
 """
 
-THE OUTPUT:- 
+THE OUTPUT:-
 Enter the position n to find the nth Lucas Number: 6
 The 6th Lucas Number is: 18
 
-"""
+"""

maths/area.py

@@ -270,17 +270,17 @@ def area_of_parabola(x,a,b,c):
     """
     Area under the parabola y = 1x² + 0x + 0 from x = 0 to x = 2 is 2.666666666666667
     """
- return a * x**2 + b * x + c 
+ return a * x**2 + b * x + c
 
  def area_under_parabola(a, b, c, x1, x2):
      area, _ = quad(parabola, x1, x2, args=(a, b, c))
      return area
-  #example usage 
+  #example usage
   a = 1
-  b = 0 
+  b = 0
   c = 0
  x1 = 0
- x2 = 2 
+ x2 = 2
 
 area = area_under_parabola(a, b, c, x1, x2)
 print(f"Area under the parabola y = {a}x² + {b}x + {c} from x = {x1} to x = {x2} is {area}")