"""simple docstring"""







from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt
def   __UpperCAmelCase    (   UpperCAmelCase_   :    int  )							->      bool:

	'''simple docstring'''





	__snake_case      :							int						=			int(number**0.5  )
	return number == sq * sq
def   __UpperCAmelCase    (   UpperCAmelCase_   :    int      ,							UpperCAmelCase_   :    int      ,							UpperCAmelCase_   :    int      ,							UpperCAmelCase_   :    int      ,							UpperCAmelCase_   :    int      ,							UpperCAmelCase_   :    int  )							->      tuple[int, int]:

	'''simple docstring'''





	__snake_case      :							int						=			x_num * y_den * z_den + y_num * x_den * z_den + z_num * x_den * y_den
	__snake_case      :							int						=			x_den * y_den * z_den
	__snake_case      :							int						=			gcd(UpperCAmelCase_      ,							UpperCAmelCase_  )
	top //= hcf
	bottom //= hcf
	return top, bottom
def   __UpperCAmelCase    (   UpperCAmelCase_   :    int = 35  )							->      int:

	'''simple docstring'''





	__snake_case      :							set						=			set()
	__snake_case      :							int
	__snake_case      :							Fraction						=			Fraction(0  )
	__snake_case      :							tuple[int, int]

	for x_num in range(1      ,							order + 1  ):
		for x_den in range(x_num + 1      ,							order + 1  ):
			for y_num in range(1      ,							order + 1  ):
				for y_den in range(y_num + 1      ,							order + 1  ):
					# n=1
					__snake_case      :							Optional[Any]						=			x_num * y_den + x_den * y_num
					__snake_case      :							Union[str, Any]						=			x_den * y_den
					__snake_case      :							Union[str, Any]						=			gcd(UpperCAmelCase_      ,							UpperCAmelCase_  )
					z_num //= hcf
					z_den //= hcf
					if 0 < z_num < z_den <= order:
						__snake_case      :							Union[str, Any]						=			add_three(
						    UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_  )
						unique_s.add(UpperCAmelCase_  )

					# n=2
					__snake_case      :							Tuple						=			(
					    x_num * x_num * y_den * y_den + x_den * x_den * y_num * y_num
					)
					__snake_case      :							Any						=			x_den * x_den * y_den * y_den
					if is_sq(UpperCAmelCase_  ) and is_sq(UpperCAmelCase_  ):
						__snake_case      :							List[str]						=			int(sqrt(UpperCAmelCase_  )  )
						__snake_case      :							Optional[Any]						=			int(sqrt(UpperCAmelCase_  )  )
						__snake_case      :							Tuple						=			gcd(UpperCAmelCase_      ,							UpperCAmelCase_  )
						z_num //= hcf
						z_den //= hcf
						if 0 < z_num < z_den <= order:
							__snake_case      :							int						=			add_three(
							    UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_  )
							unique_s.add(UpperCAmelCase_  )

                    # n=-1
					__snake_case      :							int						=			x_num * y_num
					__snake_case      :							Any						=			x_den * y_num + x_num * y_den
					__snake_case      :							Tuple						=			gcd(UpperCAmelCase_      ,							UpperCAmelCase_  )
					z_num //= hcf
					z_den //= hcf
					if 0 < z_num < z_den <= order:
						__snake_case      :							Tuple						=			add_three(
						    UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_  )
						unique_s.add(UpperCAmelCase_  )

					# n=2
					__snake_case      :							Dict						=			x_num * x_num * y_num * y_num
					__snake_case      :							List[str]						=			(
					    x_den * x_den * y_num * y_num + x_num * x_num * y_den * y_den
					)
					if is_sq(UpperCAmelCase_  ) and is_sq(UpperCAmelCase_  ):
						__snake_case      :							Tuple						=			int(sqrt(UpperCAmelCase_  )  )
						__snake_case      :							Dict						=			int(sqrt(UpperCAmelCase_  )  )
						__snake_case      :							Union[str, Any]						=			gcd(UpperCAmelCase_      ,							UpperCAmelCase_  )
						z_num //= hcf
						z_den //= hcf
						if 0 < z_num < z_den <= order:
							__snake_case      :							Union[str, Any]						=			add_three(
							    UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_      ,							UpperCAmelCase_  )
							unique_s.add(UpperCAmelCase_  )

	for num, den in unique_s:
		total += Fraction(UpperCAmelCase_      ,							UpperCAmelCase_  )

	return total.denominator + total.numerator


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






"""simple docstring"""







import warnings

from ...utils import logging
from .image_processing_clip import CLIPImageProcessor


_a					:					Dict=			logging.get_logger(__name__)

class 		UpperCamelCase      (   lowercase						):



				def __init__(self    :				List[str]     ,  *_A    :				Dict     ,  **_A    :				Optional[Any])   ->     None:
					warnings.warn(
					    'The class CLIPFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please'
					    ' use CLIPImageProcessor instead.'     ,  _A     ,  )
					super().__init__(*_A     ,  **_A)





