

"""simple docstring"""





def   _A  (  UpperCamelCase_     :       list,			UpperCamelCase_     :       list)	->						float:
   '''simple docstring'''


   _validate_point(UpperCamelCase_)
   _validate_point(UpperCamelCase_)
   if len(UpperCamelCase_) != len(UpperCamelCase_):
      raise ValueError("Both points must be in the same n-dimensional space")

   return float(sum(abs(a - b) for a, b in zip(UpperCamelCase_,			UpperCamelCase_)))




def   _A  (  UpperCamelCase_     :       list[float])	->						None:
   '''simple docstring'''


   if point:
      if isinstance(UpperCamelCase_,			UpperCamelCase_):
         for item in point:
            if not isinstance(UpperCamelCase_,			(int, float)):
               __lowercase								=						(
                   "Expected a list of numbers as input, found "
                   F"""{type(UpperCamelCase_).__name__}"""
               )
               raise TypeError(UpperCamelCase_)
      else:
         __lowercase								=						F"""Expected a list of numbers as input, found {type(UpperCamelCase_).__name__}"""
         raise TypeError(UpperCamelCase_)
   else:
      raise ValueError("Missing an input")




def   _A  (  UpperCamelCase_     :       list,			UpperCamelCase_     :       list)	->						float:
   '''simple docstring'''


   _validate_point(UpperCamelCase_)
   _validate_point(UpperCamelCase_)
   if len(UpperCamelCase_) != len(UpperCamelCase_):
      raise ValueError("Both points must be in the same n-dimensional space")

   return float(sum(abs(x - y) for x, y in zip(UpperCamelCase_,			UpperCamelCase_)))


if __name__ == "__main__":
   import doctest

   doctest.testmod()








'''simple docstring'''

class   __lowerCAmelCase						:  # Public class to implement a graph





      '''simple docstring'''






      def __init__(self    :    int   ,						UpperCamelCase    :    int   ,						UpperCamelCase    :    int   ,						UpperCamelCase    :    list[list[bool]] ):

             '''simple docstring'''







             lowercase__      			= row
             lowercase__      			= col
             lowercase__      			= graph



      def       UpperCamelCase__		(self    :    Optional[int]   ,						UpperCamelCase    :    int   ,						UpperCamelCase    :    int   ,						UpperCamelCase    :    list[list[bool]] ):

             '''simple docstring'''







             return (
                 0 <= i < self.ROW
                 and 0 <= j < self.COL
                 and not visited[i][j]
                 and self.graph[i][j]
             )



      def       UpperCamelCase__		(self    :    int   ,						UpperCamelCase    :    int   ,						UpperCamelCase    :    int   ,						UpperCamelCase    :    list[list[bool]] ):

             '''simple docstring'''







             lowercase__      			= [-1, -1, -1, 0, 0, 1, 1, 1]  # Coordinate order
             lowercase__      			= [-1, 0, 1, -1, 1, -1, 0, 1]
             lowercase__      			= True  # Make those cells visited
             for k in range(8 ):
                    if self.is_safe(i + row_nbr[k]   ,						j + col_nbr[k]   ,						UpperCamelCase ):
                           self.diffs(i + row_nbr[k]   ,						j + col_nbr[k]   ,						UpperCamelCase )






      def       UpperCamelCase__		(self    :    Dict ):  # And finally, count all islands.

             '''simple docstring'''







             lowercase__      			= [[False for j in range(self.COL )] for i in range(self.ROW )]
             lowercase__      			= 0
             for i in range(self.ROW ):
                    for j in range(self.COL ):
                           if visited[i][j] is False and self.graph[i][j] == 1:
                                  self.diffs(UpperCamelCase   ,						UpperCamelCase   ,						UpperCamelCase )
                                  count += 1
             return count




