


'''simple docstring'''

import numpy as np
import skfuzzy as fuzz

if __name__ == "__main__":
  # Create universe of discourse in Python using linspace ()
  __a:			Any	       =       np.linspace(start=0, stop=75, num=75, endpoint=True, retstep=False)

  # Create two fuzzy sets by defining any membership function
  # (trapmf(), gbellmf(), gaussmf(), etc).
  __a:			Optional[Any]	       =       [0, 25, 50]
  __a:			Dict	       =       [25, 50, 75]
  __a:			List[Any]	       =       fuzz.membership.trimf(X, abca)
  __a:			Union[str, Any]	       =       fuzz.membership.trimf(X, abca)

  # Compute the different operations using inbuilt functions.
  __a:			Optional[int]	       =       np.ones(75)
  __a:			Any	       =       np.zeros((75,))
  # 1. Union = max(µA(x), µB(x))
  __a:			int	       =       fuzz.fuzzy_or(X, young, X, middle_aged)[1]
  # 2. Intersection = min(µA(x), µB(x))
  __a:			Optional[Any]	       =       fuzz.fuzzy_and(X, young, X, middle_aged)[1]
  # 3. Complement (A) = (1- min(µA(x))
  __a:			List[str]	       =       fuzz.fuzzy_not(young)
  # 4. Difference (A/B) = min(µA(x),(1- µB(x)))
  __a:			str	       =       fuzz.fuzzy_and(X, young, X, fuzz.fuzzy_not(middle_aged)[1])[1]
  # 5. Algebraic Sum = [µA(x) + µB(x) – (µA(x) * µB(x))]
  __a:			Any	       =       young + middle_aged - (young * middle_aged)
  # 6. Algebraic Product = (µA(x) * µB(x))
  __a:			Tuple	       =       young * middle_aged
  # 7. Bounded Sum = min[1,(µA(x), µB(x))]
  __a:			Union[str, Any]	       =       fuzz.fuzzy_and(X, one, X, young + middle_aged)[1]
  # 8. Bounded difference = min[0,(µA(x), µB(x))]
  __a:			List[str]	       =       fuzz.fuzzy_or(X, zero, X, young - middle_aged)[1]

  # max-min composition
  # max-product composition

  # Plot each set A, set B and each operation result using plot() and subplot().
  from matplotlib import pyplot as plt

  plt.figure()

  plt.subplot(4, 3, 1)
  plt.plot(X, young)
  plt.title("""Young""")
  plt.grid(True)

  plt.subplot(4, 3, 2)
  plt.plot(X, middle_aged)
  plt.title("""Middle aged""")
  plt.grid(True)

  plt.subplot(4, 3, 3)
  plt.plot(X, union)
  plt.title("""union""")
  plt.grid(True)

  plt.subplot(4, 3, 4)
  plt.plot(X, intersection)
  plt.title("""intersection""")
  plt.grid(True)

  plt.subplot(4, 3, 5)
  plt.plot(X, complement_a)
  plt.title("""complement_a""")
  plt.grid(True)

  plt.subplot(4, 3, 6)
  plt.plot(X, difference)
  plt.title("""difference a/b""")
  plt.grid(True)

  plt.subplot(4, 3, 7)
  plt.plot(X, alg_sum)
  plt.title("""alg_sum""")
  plt.grid(True)

  plt.subplot(4, 3, 8)
  plt.plot(X, alg_product)
  plt.title("""alg_product""")
  plt.grid(True)

  plt.subplot(4, 3, 9)
  plt.plot(X, bdd_sum)
  plt.title("""bdd_sum""")
  plt.grid(True)

  plt.subplot(4, 3, 10)
  plt.plot(X, bdd_difference)
  plt.title("""bdd_difference""")
  plt.grid(True)

  plt.subplots_adjust(hspace=0.5)
  plt.show()


'''simple docstring'''

class       UpperCAmelCase  :





       '''simple docstring'''



       def __init__(						self			)  ->  List[str]:
        lowercase__    :   Dict						= {}

       def _lowerCAmelCase(						self			)  ->  None:
        print(self.vertex			)
        for i in self.vertex:
         print(__lowerCAmelCase     ,       ''' -> '''     ,       ''' -> '''.join([str(__lowerCAmelCase			) for j in self.vertex[i]]			)			)

       def _lowerCAmelCase(						self     ,       __lowerCAmelCase     ,       __lowerCAmelCase			)  ->  None:
        # check if vertex is already present,
        if from_vertex in self.vertex:
         self.vertex[from_vertex].append(__lowerCAmelCase			)
        else:
         # else make a new vertex
         lowercase__    :   Union[str, Any]						= [to_vertex]

       def _lowerCAmelCase(						self			)  ->  None:
        # visited array for storing already visited nodes
        lowercase__    :   str						= [False] * len(self.vertex			)

        # call the recursive helper function
        for i in range(len(self.vertex			)			):
         if not visited[i]:
          self.dfs_recursive(__lowerCAmelCase     ,       __lowerCAmelCase			)


       def _lowerCAmelCase(						self     ,       __lowerCAmelCase     ,       __lowerCAmelCase			)  ->  None:
        # mark start vertex as visited
        lowercase__    :   List[str]						= True

        print(__lowerCAmelCase     ,       end=''' '''			)

        # Recur for all the vertices that are adjacent to this node
        for i in self.vertex:
         if not visited[i]:
          self.dfs_recursive(__lowerCAmelCase     ,       __lowerCAmelCase			)


if __name__ == "__main__":
  __a:			Optional[Any]	       =       Graph()
  g.add_edge(0, 1)
  g.add_edge(0, 2)
  g.add_edge(1, 2)
  g.add_edge(2, 0)
  g.add_edge(2, 3)
  g.add_edge(3, 3)

  g.print_graph()
  print("""DFS:""")
  g.dfs()

  # OUTPUT:
  # 0  ->  1 -> 2
  # 1  ->  2
  # 2  ->  0 -> 3
  # 3  ->  3
  # DFS:
  #  0 1 2 3

