



from ..utils import DummyObject, requires_backends


class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )




class  _lowercase				(metaclass=a_ ):
				'''simple docstring'''







				lowercase__				  =  ["""vision"""]

				def __init__(	self       ,	*snake_case__       ,	**snake_case__      ):

									'''simple docstring'''


									requires_backends(self       ,	["vision"]      )







from __future__ import annotations



def 				_lowerCAmelCase      (_lowerCAmelCase):
					UpperCamelCase_											=				{1}
					UpperCamelCase_											=				[1]
					for _ in range(2				,		depth + 1):
										UpperCamelCase_											=				[*previous_coefficients, 0]
										UpperCamelCase_											=				[0, *previous_coefficients]
										UpperCamelCase_											=				[]
										for x, y in zip(_lowerCAmelCase				,		_lowerCAmelCase):
															coefficients.add(x + y)
															previous_coefficients.append(x + y)
					return coefficients



def 				_lowerCAmelCase      (_lowerCAmelCase):
					UpperCamelCase_											=				set()
					for number in unique_coefficients:
										UpperCamelCase_											=				2
										UpperCamelCase_											=				number
										while divisor**2 <= copy_number:
															UpperCamelCase_											=				0
															while copy_number % divisor == 0:
																				copy_number //= divisor
																				multiplicity += 1
															if multiplicity >= 2:
																				non_squarefrees.add(_lowerCAmelCase)
																				break
															divisor += 1

					return unique_coefficients.difference(_lowerCAmelCase)



def 				_lowerCAmelCase      (_lowerCAmelCase = 51):
					UpperCamelCase_											=				get_pascal_triangle_unique_coefficients(_lowerCAmelCase)
					UpperCamelCase_											=				get_squarefrees(_lowerCAmelCase)
					return sum(_lowerCAmelCase)


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