



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


UpperCamelCase__    =						logging.get_logger(__name__)

UpperCamelCase__    =						{
    "edbeeching/decision-transformer-gym-hopper-medium": (
        "https://huggingface.co/edbeeching/decision-transformer-gym-hopper-medium/resolve/main/config.json"
    ),
    # See all DecisionTransformer models at https://huggingface.co/models?filter=decision_transformer
}
class 			_lowerCAmelCase   ( _UpperCAmelCase			):






			"""simple docstring"""





			lowercase__      :  Tuple      =			"""decision_transformer"""
			lowercase__      :  Any      =			["""past_key_values"""]
			lowercase__      :  Tuple      =			{
			    """max_position_embeddings""": """n_positions""",
			    """num_attention_heads""": """n_head""",
			    """num_hidden_layers""": """n_layer""",
			}





			def __init__(				self	:       Union[str, Any]			,     lowercase	:       str=17			,     lowercase	:       List[str]=4			,     lowercase	:       Optional[int]=128			,     lowercase	:       Union[str, Any]=4_096			,     lowercase	:       List[str]=True			,     lowercase	:       List[str]=1			,     lowercase	:       List[Any]=1_024			,     lowercase	:       Optional[int]=3			,     lowercase	:       str=1			,     lowercase	:       List[str]=None			,     lowercase	:       Optional[int]="relu"			,     lowercase	:       Dict=0.1			,     lowercase	:       List[str]=0.1			,     lowercase	:       Optional[Any]=0.1			,     lowercase	:       Tuple=1E-5			,     lowercase	:       List[str]=0.02			,     lowercase	:       List[str]=True			,     lowercase	:       List[str]=True			,     lowercase	:       Tuple=50_256			,     lowercase	:       Tuple=50_256			,     lowercase	:       Dict=False			,     lowercase	:       Tuple=False			,     **lowercase	:       Optional[Any]			,     )						->					Dict:
									"""simple docstring"""







									__lowercase					=				state_dim
									__lowercase					=				act_dim
									__lowercase					=				hidden_size
									__lowercase					=				max_ep_len
									__lowercase					=				action_tanh
									__lowercase					=				vocab_size
									__lowercase					=				n_positions
									__lowercase					=				n_layer
									__lowercase					=				n_head
									__lowercase					=				n_inner
									__lowercase					=				activation_function
									__lowercase					=				resid_pdrop
									__lowercase					=				embd_pdrop
									__lowercase					=				attn_pdrop
									__lowercase					=				layer_norm_epsilon
									__lowercase					=				initializer_range
									__lowercase					=				scale_attn_weights
									__lowercase					=				use_cache
									__lowercase					=				scale_attn_by_inverse_layer_idx
									__lowercase					=				reorder_and_upcast_attn

									__lowercase					=				bos_token_id
									__lowercase					=				eos_token_id

									super().__init__(bos_token_id=__lowerCAmelCase			,     eos_token_id=__lowerCAmelCase			,     **__lowerCAmelCase   )










from __future__ import annotations

from collections.abc import Callable

UpperCamelCase__ =						list[list[float | int]]






def  UpperCAmelCase__    (    lowercase__						,       lowercase__   ) ->      Matrix:
						__lowercase					=				len(lowercase__   )
						__lowercase					=				[[0 for _ in range(size + 1   )] for _ in range(lowercase__   )]
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42

						for row in range(lowercase__   ):
												for col in range(lowercase__   ):
																		__lowercase					=				matrix[row][col]

												__lowercase					=				vector[row][0]

						__lowercase					=				0
						__lowercase					=				0
						while row < size and col < size:
												# pivoting
												__lowercase					=				max((abs(augmented[rowa][col]   ), rowa) for rowa in range(lowercase__						,       lowercase__   )   )[
												    1
												]
												if augmented[pivot_row][col] == 0:
																		col += 1
																		continue
												else:
																		__lowercase	,			__lowercase					=				augmented[pivot_row], augmented[row]

												for rowa in range(row + 1						,       lowercase__   ):
																		__lowercase					=				augmented[rowa][col] / augmented[row][col]
																		__lowercase					=				0
																		for cola in range(col + 1						,       size + 1   ):
																								augmented[rowa][cola] -= augmented[row][cola] * ratio

												row += 1
												col += 1

						# back substitution
						for col in range(1						,       lowercase__   ):
												for row in range(lowercase__   ):
																		__lowercase					=				augmented[row][col] / augmented[col][col]
																		for cola in range(lowercase__						,       size + 1   ):
																								augmented[row][cola] -= augmented[col][cola] * ratio

    # round to get rid of numbers like 2.000000000000004
						return [
						    [round(augmented[row][size] / augmented[row][row]						,       10   )] for row in range(lowercase__   )
						]






def  UpperCAmelCase__    (    lowercase__   ) ->      Callable[[int], int]:
						__lowercase					=				len(lowercase__   )
						__lowercase					=				[[0 for _ in range(lowercase__   )] for _ in range(lowercase__   )]
						__lowercase					=				[[0] for _ in range(lowercase__   )]
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42

						for x_val, y_val in enumerate(lowercase__   ):
												for col in range(lowercase__   ):
																		__lowercase					=				(x_val + 1) ** (size - col - 1)
												__lowercase					=				y_val

						__lowercase					=				solve(lowercase__						,       lowercase__   )

						def interpolated_func(lowercase__   ) -> int:
												return sum(
												    round(coeffs[x_val][0]   ) * (var ** (size - x_val - 1))
												    for x_val in range(lowercase__   )   )

						return interpolated_func






def  UpperCAmelCase__    (    lowercase__   ) ->      int:
						return (
						    1
						    - variable
						    + variable**2
						    - variable**3
						    + variable**4
						    - variable**5
						    + variable**6
						    - variable**7
						    + variable**8
						    - variable**9
						    + variable**10
						)






def  UpperCAmelCase__    (    lowercase__ = question_function						,       lowercase__ = 10   ) ->      int:
						__lowercase					=				[func(lowercase__   ) for x_val in range(1						,       order + 1   )]

						__lowercase					=				[
						    interpolate(data_points[:max_coeff]   ) for max_coeff in range(1						,       order + 1   )
						]

						__lowercase					=				0
						__lowercase					=				42
						__lowercase					=				42

						for poly in polynomials:
												__lowercase					=				1
												while func(lowercase__   ) == poly(lowercase__   ):
																		x_val += 1

												ret += poly(lowercase__   )

						return ret


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





