





'''simple docstring'''






import importlib
import os
import sys


# This is required to make the module import works (when the python process is running from the root of the repo)
sys.path.append(".")



def        UpperCamelCase__		(						__magic_name__  :   Optional[Any]      )				->			str:
 '''simple docstring'''






 snake_case__     :					List[str]    =  test_file.split(os.path.sep      )
 if components[0:2] != ["tests", "models"]:
  raise ValueError(
      """`test_file` should start with `tests/models/` (with `/` being the OS specific path separator). Got """
      f"{test_file} instead."      )
 snake_case__     :					Tuple    =  components[-1]
 if not test_fn.endswith("""py"""      ):
  raise ValueError(f"`test_file` should be a python file. Got {test_fn} instead."      )
 if not test_fn.startswith("""test_modeling_"""      ):
  raise ValueError(
      f"`test_file` should point to a file name of the form `test_modeling_*.py`. Got {test_fn} instead."      )

 snake_case__     :					Optional[Any]    =  components[:-1] + [test_fn.replace(""".py"""		,       """"""      )]
 snake_case__     :					List[str]    =  """.""".join(__magic_name__      )

 return test_module_path



def        UpperCamelCase__		(						__magic_name__  :   Optional[int]      )				->			Dict:
 '''simple docstring'''






 snake_case__     :					str    =  get_module_path(__magic_name__      )
 snake_case__     :					Optional[Any]    =  importlib.import_module(__magic_name__      )

 return test_module



def        UpperCamelCase__		(						__magic_name__  :   str      )				->			Optional[Any]:
 '''simple docstring'''






 snake_case__     :					Any    =  []
 snake_case__     :					Any    =  get_test_module(__magic_name__      )
 for attr in dir(__magic_name__      ):
  if attr.endswith("""ModelTester"""      ):
   tester_classes.append(getattr(__magic_name__		,       __magic_name__      )      )

    # sort with class names
 return sorted(__magic_name__		,       key=lambda __magic_name__      : x.__name__      )



def        UpperCamelCase__		(						__magic_name__  :   Any      )				->			Optional[int]:
 '''simple docstring'''






 snake_case__     :					Union[str, Any]    =  []
 snake_case__     :					Union[str, Any]    =  get_test_module(__magic_name__      )
 for attr in dir(__magic_name__      ):
  snake_case__     :					List[str]    =  getattr(__magic_name__		,       __magic_name__      )
  # (TF/Flax)ModelTesterMixin is also an attribute in specific model test module. Let's exclude them by checking
  # `all_model_classes` is not empty (which also excludes other special classes).
  snake_case__     :					Any    =  getattr(__magic_name__		,       """all_model_classes"""		,       []      )
  if len(__magic_name__      ) > 0:
   test_classes.append(__magic_name__      )

    # sort with class names
 return sorted(__magic_name__		,       key=lambda __magic_name__      : x.__name__      )



def        UpperCamelCase__		(						__magic_name__  :   Optional[int]      )				->			List[str]:
 '''simple docstring'''






 snake_case__     :					Optional[Any]    =  get_test_classes(__magic_name__      )
 snake_case__     :					Union[str, Any]    =  set()
 for test_class in test_classes:
  model_classes.update(test_class.all_model_classes      )

 # sort with class names
 return sorted(__magic_name__		,       key=lambda __magic_name__      : x.__name__      )



def        UpperCamelCase__		(						__magic_name__  :   str      )				->			Optional[Any]:
 '''simple docstring'''






 snake_case__     :					Optional[int]    =  test_class()
 if hasattr(__magic_name__		,       """setUp"""      ):
  test.setUp()

 snake_case__     :					List[Any]    =  None
 if hasattr(__magic_name__		,       """model_tester"""      ):
  # `(TF/Flax)ModelTesterMixin` has this attribute default to `None`. Let's skip this case.
  if test.model_tester is not None:
   snake_case__     :					Optional[Any]    =  test.model_tester.__class__

 return model_tester



def        UpperCamelCase__		(						__magic_name__  :   List[Any]		,       __magic_name__  :   int      )				->			Dict:
 '''simple docstring'''






 snake_case__     :					List[str]    =  get_test_classes(__magic_name__      )

 snake_case__     :					str    =  []
 for test_class in test_classes:
  if model_class in test_class.all_model_classes:
   target_test_classes.append(__magic_name__      )

    # sort with class names
 return sorted(__magic_name__		,       key=lambda __magic_name__      : x.__name__      )



def        UpperCamelCase__		(						__magic_name__  :   List[str]		,       __magic_name__  :   Dict      )				->			Optional[int]:
 '''simple docstring'''






 snake_case__     :					Tuple    =  get_test_classes_for_model(__magic_name__		,       __magic_name__      )

 snake_case__     :					List[Any]    =  []
 for test_class in test_classes:
  snake_case__     :					List[str]    =  get_model_tester_from_test_class(__magic_name__      )
  if tester_class is not None:
   tester_classes.append(__magic_name__      )

    # sort with class names
 return sorted(__magic_name__		,       key=lambda __magic_name__      : x.__name__      )



def        UpperCamelCase__		(						__magic_name__  :   Tuple      )				->			Optional[int]:
 '''simple docstring'''






 snake_case__     :					List[Any]    =  get_test_classes(__magic_name__      )
 snake_case__     :					Union[str, Any]    =  {test_class: get_model_tester_from_test_class(__magic_name__      ) for test_class in test_classes}
 return test_tester_mapping



def        UpperCamelCase__		(						__magic_name__  :   Tuple      )				->			str:
 '''simple docstring'''






 snake_case__     :					Any    =  get_model_classes(__magic_name__      )
 snake_case__     :					str    =  {
     model_class: get_test_classes_for_model(__magic_name__		,       __magic_name__      ) for model_class in model_classes
 }
 return model_test_mapping



def        UpperCamelCase__		(						__magic_name__  :   Dict      )				->			Union[str, Any]:
 '''simple docstring'''






 snake_case__     :					int    =  get_model_classes(__magic_name__      )
 snake_case__     :					Union[str, Any]    =  {
     model_class: get_tester_classes_for_model(__magic_name__		,       __magic_name__      ) for model_class in model_classes
 }
 return model_to_tester_mapping





def        UpperCamelCase__		(						__magic_name__  :   Tuple      )				->			Any:
 '''simple docstring'''






 if isinstance(__magic_name__		,       __magic_name__      ):
  return o
 elif isinstance(__magic_name__		,       __magic_name__      ):
  return o.__name__
 elif isinstance(__magic_name__		,       (list, tuple)      ):
  return [to_json(__magic_name__      ) for x in o]
 elif isinstance(__magic_name__		,       __magic_name__      ):
  return {to_json(__magic_name__      ): to_json(__magic_name__      ) for k, v in o.items()}
 else:
  return o












"""simple docstring"""
from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt

def 							snake_case (  A__		):
			UpperCAmelCase_	:					int     	=   int(number**0.5		)
			return number == sq * sq

def 							snake_case (  A__      ,A__      ,A__      ,A__      ,A__      ,A__		):
			UpperCAmelCase_	:					int     	=   x_num * y_den * z_den + y_num * x_den * z_den + z_num * x_den * y_den
			UpperCAmelCase_	:					int     	=   x_den * y_den * z_den
			UpperCAmelCase_	:					int     	=   gcd(A__      ,A__		)
			top //= hcf
			bottom //= hcf
			return top, bottom

def 							snake_case (  A__ = 35		):
			UpperCAmelCase_	:					set     	=   set()
			UpperCAmelCase_	:					int
			UpperCAmelCase_	:					Fraction     	=   Fraction(0		)
			UpperCAmelCase_	:					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
															UpperCAmelCase_	:					Optional[int]     	=   x_num * y_den + x_den * y_num
															UpperCAmelCase_	:					List[Any]     	=   x_den * y_den
															UpperCAmelCase_	:					Tuple     	=   gcd(A__      ,A__		)
															z_num //= hcf
															z_den //= hcf
															if 0 < z_num < z_den <= order:
																		UpperCAmelCase_	:					int     	=   add_three(
																		    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																		unique_s.add(A__		)

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

                    # n=-1
															UpperCAmelCase_	:					Optional[int]     	=   x_num * y_num
															UpperCAmelCase_	:					Dict     	=   x_den * y_num + x_num * y_den
															UpperCAmelCase_	:					Union[str, Any]     	=   gcd(A__      ,A__		)
															z_num //= hcf
															z_den //= hcf
															if 0 < z_num < z_den <= order:
																		UpperCAmelCase_	:					List[Any]     	=   add_three(
																		    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																		unique_s.add(A__		)

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

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

			return total.denominator + total.numerator


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



