class 							_SCREAMING_SNAKE_CASE:
   def __init__(    self							,     lowerCAmelCase_    )	->Dict:
        a  :    List[str]				=						data
        a  :    str				=						42
        a  :    Optional[Any]				=						42







def 	UpperCAmelCase       (		lowerCAmelCase_       )	->	None:
     a  :    Dict				=						0
     a  :    List[Any]				=						x







def 	UpperCAmelCase       (		lowerCAmelCase_						,      lowerCAmelCase_       )	->	None:
     a			,							a  :    Optional[int]				=						find_set(_UpperCamelCase       ), find_set(_UpperCamelCase       )
     if x == y:
          return

     elif x.rank > y.rank:
          a  :    Optional[int]				=						x
     else:
          a  :    Union[str, Any]				=						y
          if x.rank == y.rank:
               y.rank += 1







def 	UpperCAmelCase       (		lowerCAmelCase_       )	->	Node:







     if x != x.parent:
          a  :    Optional[Any]				=						find_set(x.parent       )
     return x.parent







def 	UpperCAmelCase       (		lowerCAmelCase_       )	->	set:
     a  :    Dict				=						({0, 1, 2}, {3, 4, 5})
     for s in sets:
          if node.data in s:
               return s
     a  :    str				=						f"""{node.data} is not in {sets}"""
     raise ValueError(_UpperCamelCase       )







def 	UpperCAmelCase       (		)	->	None:
     a  :    Any				=						[Node(_UpperCamelCase       ) for i in range(6       )]
     for v in vertex:
          make_set(_UpperCamelCase       )

     union_set(vertex[0]						,      vertex[1]       )
     union_set(vertex[1]						,      vertex[2]       )
     union_set(vertex[3]						,      vertex[4]       )
     union_set(vertex[3]						,      vertex[5]       )

     for nodea in vertex:
          for nodea in vertex:
               if find_python_set(_UpperCamelCase       ).isdisjoint(find_python_set(_UpperCamelCase       )       ):
                    assert find_set(_UpperCamelCase       ) != find_set(_UpperCamelCase       )
               else:
                    assert find_set(_UpperCamelCase       ) == find_set(_UpperCamelCase       )


if __name__ == "__main__":
  test_disjoint_set()
from __future__ import annotations







def 	UpperCAmelCase       (		lowerCAmelCase_						,      lowerCAmelCase_						,      lowerCAmelCase_						,      )	->	list[float | int]:
     if not all((nth_term, start_term_a, common_ratio_r)       ):
          return []
     a  :    list[float | int]				=						[]
     a  :    str				=						1
     a  :    Dict				=						common_ratio_r
     for _ in range(int(lowerCAmelCase_       )       ):
          if not series:
               series.append(lowerCAmelCase_       )
          else:
               power += 1
               series.append(float(start_term_a * multiple       )       )
               a  :    Dict				=						pow(float(lowerCAmelCase_       )						,      lowerCAmelCase_       )
     return series


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  UpperCAmelCase							   =      float(input("""Enter the last number (n term) of the Geometric Series"""))
  UpperCAmelCase							   =      float(input("""Enter the starting term (a) of the Geometric Series"""))
  UpperCAmelCase							   =      float(
      input("""Enter the common ratio between two terms (r) of the Geometric Series""")
  )
  print("""Formula of Geometric Series => a + ar + ar^2 ... +ar^n""")
  print(geometric_series(nth_term, start_term_a, common_ratio_r))