

'''simple docstring'''
from ....configuration_utils import PretrainedConfig
from ....utils import logging


_snake_case     =  logging.get_logger(__name__)

_snake_case     =  {
    'CarlCochet/trajectory-transformer-halfcheetah-medium-v2': (
        'https://huggingface.co/CarlCochet/trajectory-transformer-halfcheetah-medium-v2/resolve/main/config.json'
    ),
    # See all TrajectoryTransformer models at https://huggingface.co/models?filter=trajectory_transformer
}


class    a__  (							A__  ):
   _SCREAMING_SNAKE_CASE    :     Dict	       =							'trajectory_transformer'
   _SCREAMING_SNAKE_CASE    :     str	       =							['past_key_values']
   _SCREAMING_SNAKE_CASE    :     Optional[Any]	       =							{
       'hidden_size': 'n_embd',
       'num_attention_heads': 'n_head',
       'num_hidden_layers': 'n_layer',
   }


   def __init__( self			,				_UpperCamelCase=100			,				_UpperCamelCase=5			,				_UpperCamelCase=1			,				_UpperCamelCase=1			,				_UpperCamelCase=249			,				_UpperCamelCase=6			,				_UpperCamelCase=17			,				_UpperCamelCase=25			,				_UpperCamelCase=4			,				_UpperCamelCase=4			,				_UpperCamelCase=128			,				_UpperCamelCase=0.1			,				_UpperCamelCase=0.1			,				_UpperCamelCase=0.1			,				_UpperCamelCase=0.0_0_0_6			,				_UpperCamelCase=512			,				_UpperCamelCase=0.0_2			,				_UpperCamelCase=1E-1_2			,				_UpperCamelCase=1			,				_UpperCamelCase=True			,				_UpperCamelCase=1			,				_UpperCamelCase=50256			,				_UpperCamelCase=50256			,				**_UpperCamelCase			,				):





      """simple docstring"""





      _lowercase			:      int			     =   vocab_size
      _lowercase			:      str			     =   action_weight
      _lowercase			:      Dict			     =   reward_weight
      _lowercase			:      Optional[int]			     =   value_weight
      _lowercase			:      List[Any]			     =   max_position_embeddings
      _lowercase			:      int			     =   block_size
      _lowercase			:      Optional[Any]			     =   action_dim
      _lowercase			:      Union[str, Any]			     =   observation_dim
      _lowercase			:      int			     =   transition_dim
      _lowercase			:      int			     =   learning_rate
      _lowercase			:      int			     =   n_layer
      _lowercase			:      int			     =   n_head
      _lowercase			:      List[Any]			     =   n_embd
      _lowercase			:      Optional[int]			     =   embd_pdrop
      _lowercase			:      Dict			     =   attn_pdrop
      _lowercase			:      List[str]			     =   resid_pdrop
      _lowercase			:      Optional[Any]			     =   initializer_range
      _lowercase			:      Any			     =   layer_norm_eps
      _lowercase			:      Optional[int]			     =   kaiming_initializer_range
      _lowercase			:      Dict			     =   use_cache
      super().__init__(pad_token_id=UpperCamelCase_			,				bos_token_id=UpperCamelCase_			,				eos_token_id=UpperCamelCase_			,				**UpperCamelCase_  )










'''simple docstring'''
from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt


def 			a      (			__a   )  ->	bool:



					'''simple docstring'''






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


def 			a      (			__a ,					__a ,					__a ,					__a ,					__a ,					__a   )  ->	tuple[int, 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(__a ,					__a   )
					top //= hcf
					bottom //= hcf
					return top, bottom


def 			a      (			__a = 35   )  ->	int:



					'''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__   :int												= x_num * y_den + x_den * y_num
																									UpperCamelCase__   :Any												= x_den * y_den
																									UpperCamelCase__   :Tuple												= 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=2
																									UpperCamelCase__   :List[str]												= (
																									    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__   :Any												= int(sqrt(__a   )   )
																														UpperCamelCase__   :Optional[int]												= int(sqrt(__a   )   )
																														UpperCamelCase__   :int												= 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__   :Tuple												= x_num * y_num
																									UpperCamelCase__   :Union[str, Any]												= x_den * y_num + x_num * y_den
																									UpperCamelCase__   :List[str]												= gcd(__a ,					__a   )
																									z_num //= hcf
																									z_den //= hcf
																									if 0 < z_num < z_den <= order:
																														UpperCamelCase__   :Union[str, 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__   :Tuple												= (
																									    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__   :Any												= int(sqrt(__a   )   )
																														UpperCamelCase__   :Dict												= 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   )

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

					return total.denominator + total.numerator


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