
from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt






def    lowerCamelCase__				(				__lowerCAmelCase  :  int				):




			"""simple docstring"""


			lowerCAmelCase_						=	int(number**0.5				)
			return number == sq * sq






def    lowerCamelCase__				(				__lowerCAmelCase  :  int    ,							__lowerCAmelCase  :  int    ,							__lowerCAmelCase  :  int    ,							__lowerCAmelCase  :  int    ,							__lowerCAmelCase  :  int    ,							__lowerCAmelCase  :  int				):




			"""simple docstring"""


			lowerCAmelCase_						=	x_num * y_den * z_den + y_num * x_den * z_den + z_num * x_den * y_den
			lowerCAmelCase_						=	x_den * y_den * z_den
			lowerCAmelCase_						=	gcd(__lowerCAmelCase    ,							__lowerCAmelCase				)
			top //= hcf
			bottom //= hcf
			return top, bottom






def    lowerCamelCase__				(				__lowerCAmelCase  :  int = 35				):




			"""simple docstring"""


			lowerCAmelCase_						=	set()
			lowerCAmelCase_						=	42
			lowerCAmelCase_						=	Fraction(0				)
			lowerCAmelCase_						=	42

			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
															lowerCAmelCase_						=	x_num * y_den + x_den * y_num
															lowerCAmelCase_						=	x_den * y_den
															lowerCAmelCase_						=	gcd(__lowerCAmelCase    ,							__lowerCAmelCase				)
															z_num //= hcf
															z_den //= hcf
															if 0 < z_num < z_den <= order:
																		lowerCAmelCase_						=	add_three(
																		    __lowerCAmelCase    ,							__lowerCAmelCase    ,							__lowerCAmelCase    ,							__lowerCAmelCase    ,							__lowerCAmelCase    ,							__lowerCAmelCase				)
																		unique_s.add(__lowerCAmelCase				)

															# n=2
															lowerCAmelCase_						=	(
															    x_num * x_num * y_den * y_den + x_den * x_den * y_num * y_num
															)
															lowerCAmelCase_						=	x_den * x_den * y_den * y_den
															if is_sq(__lowerCAmelCase				) and is_sq(__lowerCAmelCase				):
																		lowerCAmelCase_						=	int(sqrt(__lowerCAmelCase				)				)
																		lowerCAmelCase_						=	int(sqrt(__lowerCAmelCase				)				)
																		lowerCAmelCase_						=	gcd(__lowerCAmelCase    ,							__lowerCAmelCase				)
																		z_num //= hcf
																		z_den //= hcf
																		if 0 < z_num < z_den <= order:
																					lowerCAmelCase_						=	add_three(
																					    __lowerCAmelCase    ,							__lowerCAmelCase    ,							__lowerCAmelCase    ,							__lowerCAmelCase    ,							__lowerCAmelCase    ,							__lowerCAmelCase				)
																					unique_s.add(__lowerCAmelCase				)

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

															# n=2
															lowerCAmelCase_						=	x_num * x_num * y_num * y_num
															lowerCAmelCase_						=	(
															    x_den * x_den * y_num * y_num + x_num * x_num * y_den * y_den
															)
															if is_sq(__lowerCAmelCase				) and is_sq(__lowerCAmelCase				):
																		lowerCAmelCase_						=	int(sqrt(__lowerCAmelCase				)				)
																		lowerCAmelCase_						=	int(sqrt(__lowerCAmelCase				)				)
																		lowerCAmelCase_						=	gcd(__lowerCAmelCase    ,							__lowerCAmelCase				)
																		z_num //= hcf
																		z_den //= hcf
																		if 0 < z_num < z_den <= order:
																					lowerCAmelCase_						=	add_three(
																					    __lowerCAmelCase    ,							__lowerCAmelCase    ,							__lowerCAmelCase    ,							__lowerCAmelCase    ,							__lowerCAmelCase    ,							__lowerCAmelCase				)
																					unique_s.add(__lowerCAmelCase				)

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

			return total.denominator + total.numerator


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





from argparse import ArgumentParser

from .add_new_model import AddNewModelCommand
from .add_new_model_like import AddNewModelLikeCommand
from .convert import ConvertCommand
from .download import DownloadCommand
from .env import EnvironmentCommand
from .lfs import LfsCommands
from .pt_to_tf import PTtoTFCommand
from .run import RunCommand
from .serving import ServeCommand
from .user import UserCommands






def    lowerCamelCase__				(				):




			"""simple docstring"""


			lowerCAmelCase_						=	ArgumentParser("Transformers CLI tool"    ,							usage="transformers-cli <command> [<args>]"				)
			lowerCAmelCase_						=	parser.add_subparsers(help="transformers-cli command helpers"				)

			# Register commands
			ConvertCommand.register_subcommand(__lowerCAmelCase				)
			DownloadCommand.register_subcommand(__lowerCAmelCase				)
			EnvironmentCommand.register_subcommand(__lowerCAmelCase				)
			RunCommand.register_subcommand(__lowerCAmelCase				)
			ServeCommand.register_subcommand(__lowerCAmelCase				)
			UserCommands.register_subcommand(__lowerCAmelCase				)
			AddNewModelCommand.register_subcommand(__lowerCAmelCase				)
			AddNewModelLikeCommand.register_subcommand(__lowerCAmelCase				)
			LfsCommands.register_subcommand(__lowerCAmelCase				)
			PTtoTFCommand.register_subcommand(__lowerCAmelCase				)

			# Let's go
			lowerCAmelCase_						=	parser.parse_args()

			if not hasattr(__lowerCAmelCase    ,							"func"				):
						parser.print_help()
						exit(1				)

			# Run
			lowerCAmelCase_						=	args.func(__lowerCAmelCase				)
			service.run()


if __name__ == "__main__":
			main()



