

'''simple docstring'''
from __future__ import annotations







def       _A	(			snake_case  )    ->			set[int]:
			_lowercase    :   Any      =     {1}
			_lowercase    :   Optional[int]      =     [1]
			for _ in range(2	,							depth + 1  ):
						_lowercase    :   str      =     [*previous_coefficients, 0]
						_lowercase    :   Optional[int]      =     [0, *previous_coefficients]
						_lowercase    :   List[Any]      =     []
						for x, y in zip(snake_case_	,							snake_case_  ):
									coefficients.add(x + y  )
									previous_coefficients.append(x + y  )
			return coefficients







def       _A	(			snake_case  )    ->			set[int]:
			_lowercase    :   List[str]      =     set()
			for number in unique_coefficients:
						_lowercase    :   List[str]      =     2
						_lowercase    :   Optional[Any]      =     number
						while divisor**2 <= copy_number:
									_lowercase    :   str      =     0
									while copy_number % divisor == 0:
												copy_number //= divisor
												multiplicity += 1
									if multiplicity >= 2:
												non_squarefrees.add(snake_case_  )
												break
									divisor += 1

			return unique_coefficients.difference(snake_case_  )







def       _A	(			snake_case = 51  )    ->			int:
			_lowercase    :   Tuple      =     get_pascal_triangle_unique_coefficients(snake_case_  )
			_lowercase    :   Optional[Any]      =     get_squarefrees(snake_case_  )
			return sum(snake_case_  )


if __name__ == "__main__":
				print(F'''{solution() = }''')









'''simple docstring'''
class      a__						:


   def __init__(				self    ,       _UpperCamelCase						):





      """simple docstring"""





      _lowercase    :   Tuple      =     data
      _lowercase    :   int
      _lowercase    :   Node







def       _A	(			snake_case  )    ->			None:
   _lowercase    :   Any      =     0
   _lowercase    :   str      =     x







def       _A	(			snake_case	,							snake_case  )    ->			None:
   _lowercase  ,   _lowercase    :   Any      =     find_set(snake_case  ), find_set(snake_case  )
   if x == y:
      return

   elif x.rank > y.rank:
      _lowercase    :   Dict      =     x
   else:
      _lowercase    :   Optional[int]      =     y
      if x.rank == y.rank:
         y.rank += 1







def       _A	(			snake_case  )    ->			Node:
   if x != x.parent:
      _lowercase    :   Optional[int]      =     find_set(x.parent  )
   return x.parent







def       _A	(			snake_case  )    ->			set:
   _lowercase    :   Any      =     ({0, 1, 2}, {3, 4, 5})
   for s in sets:
      if node.data in s:
         return s
   _lowercase    :   List[Any]      =     F'''{node.data} is not in {sets}'''
   raise ValueError(snake_case  )







def       _A	(			)    ->			None:
   _lowercase    :   Union[str, Any]      =     [Node(snake_case  ) for i in range(6  )]
   for v in vertex:
      make_set(snake_case  )

   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(snake_case  ).isdisjoint(find_python_set(snake_case  )  ):
            assert find_set(snake_case  ) != find_set(snake_case  )
         else:
            assert find_set(snake_case  ) == find_set(snake_case  )


if __name__ == "__main__":
    test_disjoint_set()






