


'''simple docstring'''

def lowerCamelCase    (    lowerCAmelCase       :			list[list[int]]	):





	"""simple docstring"""







	if len(lowerCAmelCase	) == 0 or not all(len(lowerCAmelCase	) == 2 for pair in coordinates	):
		raise ValueError('The program cannot work out a fitting polynomial.'	)

	if len({tuple(lowerCAmelCase	) for pair in coordinates}	) != len(lowerCAmelCase	):
		raise ValueError('The program cannot work out a fitting polynomial.'	)

	__magic_name__ :					Optional[Any]  			=  {x for x, _ in coordinates}
	if len(lowerCAmelCase	) == 1:
		return f'x={coordinates[0][0]}'

	if len(lowerCAmelCase	) != len(lowerCAmelCase	):
		raise ValueError('The program cannot work out a fitting polynomial.'	)

	__magic_name__ :					Tuple  			=  len(lowerCAmelCase	)

	__magic_name__ :					int  			=  0
	__magic_name__ :					list[list[float]]  			=  []
	# put the x and x to the power values in a matrix
	while count_of_line < x:
		__magic_name__ :					Any  			=  0
		__magic_name__ :					Dict  			=  coordinates[count_of_line][0]
		__magic_name__ :					list[float]  			=  []
		while count_in_line < x:
			count_line.append(a ** (x - (count_in_line + 1))	)
			count_in_line += 1
		matrix.append(lowerCAmelCase	)
		count_of_line += 1

	__magic_name__ :					Optional[int]  			=  0
	# put the y values into a vector
	__magic_name__ :					list[float]  			=  []
	while count_of_line < x:
		vector.append(coordinates[count_of_line][1]	)
		count_of_line += 1

	__magic_name__ :					str  			=  0

	while count < x:
		__magic_name__ :					int  			=  0
		while zahlen < x:
			if count == zahlen:
				zahlen += 1
			if zahlen == x:
				break
			__magic_name__ :					Optional[int]  			=  matrix[zahlen][count] / matrix[count][count]
			for counting_columns, item in enumerate(matrix[count]	):
				# manipulating all the values in the matrix
				matrix[zahlen][counting_columns] -= item * bruch
			# manipulating the values in the vector
			vector[zahlen] -= vector[count] * bruch
			zahlen += 1
		count += 1

	__magic_name__ :					Optional[Any]  			=  0
	# make solutions
	__magic_name__ :					list[str]  			=  []
	while count < x:
		solution.append(str(vector[count] / matrix[count][count]	)	)
		count += 1

	__magic_name__ :					Optional[int]  			=  0
	__magic_name__ :					Any  			=  'f(x)='

	while count < x:
		__magic_name__ :					list[str]  			=  solution[count].split('E'	)
		if len(lowerCAmelCase	) > 1:
			__magic_name__ :					Union[str, Any]  			=  f'{remove_e[0]}*10^{remove_e[1]}'
		solved += f'x^{x - (count + 1)}*{solution[count]}'
		if count + 1 != x:
			solved += "+"
		count += 1

	return solved


if __name__ == "__main__":
							print(points_to_polynomial([]))
							print(points_to_polynomial([[]]))
							print(points_to_polynomial([[1, 0], [2, 0], [3, 0]]))
							print(points_to_polynomial([[1, 1], [2, 1], [3, 1]]))
							print(points_to_polynomial([[1, 3], [2, 3], [3, 3]]))
							print(points_to_polynomial([[1, 1], [2, 2], [3, 3]]))
							print(points_to_polynomial([[1, 1], [2, 4], [3, 9]]))
							print(points_to_polynomial([[1, 3], [2, 6], [3, 1_1]]))
							print(points_to_polynomial([[1, -3], [2, -6], [3, -1_1]]))
							print(points_to_polynomial([[1, 5], [2, 2], [3, 9]]))



'''simple docstring'''

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


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

lowerCAmelCase   :Dict								=    {
    '''uw-madison/yoso-4096''': '''https://huggingface.co/uw-madison/yoso-4096/resolve/main/config.json''',
    # See all YOSO models at https://huggingface.co/models?filter=yoso
}
class _lowerCamelCase (		lowercase__							):



		'''simple docstring'''







		A_			:    Optional[Any]   					=       """yoso"""







		def __init__(      self	:		Any						,  _A	:		List[Any]=50265						,  _A	:		Any=768						,  _A	:		List[str]=12						,  _A	:		Dict=12						,  _A	:		Union[str, Any]=3072						,  _A	:		List[Any]="gelu"						,  _A	:		Dict=0.1						,  _A	:		Union[str, Any]=0.1						,  _A	:		Union[str, Any]=4096						,  _A	:		Dict=1						,  _A	:		Tuple=0.02						,  _A	:		Any=1E-12						,  _A	:		Optional[int]="absolute"						,  _A	:		Tuple=True						,  _A	:		Any=9						,  _A	:		Tuple=64						,  _A	:		str=None						,  _A	:		Dict=True						,  _A	:		str=True						,  _A	:		int=1						,  _A	:		Optional[int]=0						,  _A	:		Tuple=2						,  **_A	:		Optional[Any]						,  )						->				Any:
			super().__init__(pad_token_id=_A						,  bos_token_id=_A						,  eos_token_id=_A						,  **_A    )

			__magic_name__ :					List[Any]  			=  vocab_size
			__magic_name__ :					int  			=  max_position_embeddings
			__magic_name__ :					int  			=  hidden_size
			__magic_name__ :					Any  			=  num_hidden_layers
			__magic_name__ :					List[str]  			=  num_attention_heads
			__magic_name__ :					str  			=  intermediate_size
			__magic_name__ :					Any  			=  hidden_act
			__magic_name__ :					Union[str, Any]  			=  hidden_dropout_prob
			__magic_name__ :					str  			=  attention_probs_dropout_prob
			__magic_name__ :					int  			=  initializer_range
			__magic_name__ :					List[Any]  			=  type_vocab_size
			__magic_name__ :					Tuple  			=  layer_norm_eps
			__magic_name__ :					Tuple  			=  position_embedding_type
			__magic_name__ :					Optional[Any]  			=  use_expectation
			__magic_name__ :					Union[str, Any]  			=  hash_code_len
			__magic_name__ :					int  			=  num_hash
			__magic_name__ :					List[Any]  			=  conv_window
			__magic_name__ :					Optional[Any]  			=  use_fast_hash
			__magic_name__ :					int  			=  lsh_backward