


class    UpperCamelCase    :


   '''simple docstring'''







   def __init__(   self      ,							UpperCamelCase_						):
        lowercase_				:Tuple       			=				data
        lowercase_				:List[str]       			=				42
        lowercase_				:Optional[Any]       			=				42




def 			UpperCamelCase			(					_a						)    ->							None:
     '''simple docstring'''





     lowercase_				:str       			=				0
     lowercase_				:List[Any]       			=				x




def 			UpperCamelCase			(					_a				,						_a						)    ->							None:
     '''simple docstring'''





     lowercase_			,					lowercase_				:List[Any]       			=				find_set(a_						), find_set(a_						)
     if x == y:
          return

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




def 			UpperCamelCase			(					_a						)    ->							Node:
     '''simple docstring'''





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




def 			UpperCamelCase			(					_a						)    ->							set:
     '''simple docstring'''





     lowercase_				:Optional[Any]       			=				({0, 1, 2}, {3, 4, 5})
     for s in sets:
          if node.data in s:
               return s
     lowercase_				:str       			=				f"{node.data} is not in {sets}"
     raise ValueError(a_						)




def 			UpperCamelCase			(					)    ->							None:
     '''simple docstring'''





     lowercase_				:Any       			=				[Node(a_						) for i in range(6						)]
     for v in vertex:
          make_set(a_						)

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


if __name__ == "__main__":
   test_disjoint_set()









import math
def      lowerCamelCase					(						a_	)	->			Dict:
							lowerCAmelCase_										=     0
							if n % 2 == 0:
														count += 1
														while n % 2 == 0:
																					lowerCAmelCase_										=     int(n / 2	)
    # the n input value must be odd so that
    # we can skip one element (ie i += 2)

							lowerCAmelCase_										=     3

							while i <= int(math.sqrt(a_	)	):
														if n % i == 0:
																					count += 1
																					while n % i == 0:
																												lowerCAmelCase_										=     int(n / i	)
														lowerCAmelCase_										=     i + 2

							# this condition checks the prime
							# number n is greater than 2

							if n > 2:
														count += 1
							return count


if __name__ == "__main__":
		lowerCamelCase_						     =  5_1_2_4_2_1_8_3
		print(f'''The number of distinct prime factors is/are {exact_prime_factor_count(n)}''')
		print(f'''The value of log(log(n)) is {math.log(math.log(n)):.4f}''')



