

"""simple docstring"""






from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt



def   lowercase_	(    _lowercase       :		int	):




					'''simple docstring'''






					UpperCAmelCase			:   int      =				int(number**0.5	)
					return number == sq * sq



def   lowercase_	(    _lowercase       :		int							,      _lowercase       :		int							,      _lowercase       :		int							,      _lowercase       :		int							,      _lowercase       :		int							,      _lowercase       :		int	):




					'''simple docstring'''






					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(_lowercase							,      _lowercase	)
					top //= hcf
					bottom //= hcf
					return top, bottom



def   lowercase_	(    _lowercase       :		int = 35	):




					'''simple docstring'''






					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			:   List[str]      =				x_num * y_den + x_den * y_num
																									UpperCAmelCase			:   str      =				x_den * y_den
																									UpperCAmelCase			:   Optional[Any]      =				gcd(_lowercase							,      _lowercase	)
																									z_num //= hcf
																									z_den //= hcf
																									if 0 < z_num < z_den <= order:
																														UpperCAmelCase			:   Optional[Any]      =				add_three(
																														    _lowercase							,      _lowercase							,      _lowercase							,      _lowercase							,      _lowercase							,      _lowercase	)
																														unique_s.add(_lowercase	)

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

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

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

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

					return total.denominator + total.numerator


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





"""simple docstring"""






from ...configuration_utils import PretrainedConfig
from ...utils import logging


snake_case_   :   List[Any]        =       logging.get_logger(__name__)

snake_case_   :   List[Any]        =       {
    """RWKV/rwkv-4-169m-pile""": """https://huggingface.co/RWKV/rwkv-4-169m-pile/resolve/main/config.json""",
    """RWKV/rwkv-4-430m-pile""": """https://huggingface.co/RWKV/rwkv-4-430m-pile/resolve/main/config.json""",
    """RWKV/rwkv-4-1b5-pile""": """https://huggingface.co/RWKV/rwkv-4-1b5-pile/resolve/main/config.json""",
    """RWKV/rwkv-4-3b-pile""": """https://huggingface.co/RWKV/rwkv-4-3b-pile/resolve/main/config.json""",
    """RWKV/rwkv-4-7b-pile""": """https://huggingface.co/RWKV/rwkv-4-7b-pile/resolve/main/config.json""",
    """RWKV/rwkv-4-14b-pile""": """https://huggingface.co/RWKV/rwkv-4-14b-pile/resolve/main/config.json""",
    """RWKV/rwkv-raven-1b5""": """https://huggingface.co/RWKV/rwkv-raven-1b5/resolve/main/config.json""",
    """RWKV/rwkv-raven-3b""": """https://huggingface.co/RWKV/rwkv-raven-3b/resolve/main/config.json""",
    """RWKV/rwkv-raven-7b""": """https://huggingface.co/RWKV/rwkv-raven-7b/resolve/main/config.json""",
    """RWKV/rwkv-raven-14b""": """https://huggingface.co/RWKV/rwkv-raven-14b/resolve/main/config.json""",
}







class       snake_case__  ( lowerCAmelCase_     ):
			SCREAMING_SNAKE_CASE__     				=						'''rwkv'''
			SCREAMING_SNAKE_CASE__     				=						{'''max_position_embeddings''': '''context_length'''}







			def __init__(			self			: int			,  lowercase			: Optional[Any]=5_02_77			,  lowercase			: Union[str, Any]=10_24			,  lowercase			: Union[str, Any]=40_96			,  lowercase			: List[str]=32			,  lowercase			: str=None			,  lowercase			: Tuple=None			,  lowercase			: Dict=1E-5			,  lowercase			: Any=0			,  lowercase			: List[Any]=0			,  lowercase			: int=6			,  lowercase			: Dict=False			,  lowercase			: Dict=True			,  **lowercase			: Optional[Any]			,  ):





								'''simple docstring'''



								UpperCAmelCase			:   Optional[int]      =				vocab_size
								UpperCAmelCase			:   List[str]      =				context_length
								UpperCAmelCase			:   Optional[Any]      =				hidden_size
								UpperCAmelCase			:   List[Any]      =				num_hidden_layers
								UpperCAmelCase			:   Union[str, Any]      =				attention_hidden_size if attention_hidden_size is not None else hidden_size
								UpperCAmelCase			:   List[Any]      =				intermediate_size if intermediate_size is not None else 4 * hidden_size
								UpperCAmelCase			:   Tuple      =				layer_norm_epsilon
								UpperCAmelCase			:   Optional[int]      =				rescale_every
								UpperCAmelCase			:   Tuple      =				use_cache

								UpperCAmelCase			:   Union[str, Any]      =				bos_token_id
								UpperCAmelCase			:   Optional[int]      =				eos_token_id

								super().__init__(
								    tie_word_embeddings=lowercase			,  bos_token_id=lowercase			,  eos_token_id=lowercase			,  **lowercase  )


