




from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload



class    lowercase_		:



						def __init__(			self	:   Dict					,							snake_case__	:   Collection[float] | None = None  ):

								"""simple docstring"""

								if components is None:
										SCREAMING_SNAKE_CASE_					      =							[]
								SCREAMING_SNAKE_CASE_					      =							list(snake_case__  )



						def __len__(			self	:   Union[str, Any]  ):

								"""simple docstring"""

								return len(self.__components  )



						def __str__(			self	:   Optional[Any]  ):

								"""simple docstring"""

								return "(" + ",".join(map(snake_case__					,							self.__components  )  ) + ")"



						def __add__(			self	:   int					,							snake_case__	:   Vector  ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_					      =							len(self  )
								if size == len(snake_case__  ):
										SCREAMING_SNAKE_CASE_					      =							[self.__components[i] + other.component(snake_case__  ) for i in range(snake_case__  )]
										return Vector(snake_case__  )
								else:
										raise Exception('must have the same size'  )



						def __sub__(			self	:   List[str]					,							snake_case__	:   Vector  ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_					      =							len(self  )
								if size == len(snake_case__  ):
										SCREAMING_SNAKE_CASE_					      =							[self.__components[i] - other.component(snake_case__  ) for i in range(snake_case__  )]
										return Vector(snake_case__  )
								else:  # error case
										raise Exception('must have the same size'  )



						@overload
						def __mul__(			self	:   Tuple					,							snake_case__	:   float  ):

								"""simple docstring"""

								...



						@overload
						def __mul__(			self	:   List[Any]					,							snake_case__	:   Vector  ):

								"""simple docstring"""

								...



						def __mul__(			self	:   str					,							snake_case__	:   float | Vector  ):

								"""simple docstring"""

								if isinstance(snake_case__					,							(float, int)  ):
										SCREAMING_SNAKE_CASE_					      =							[c * other for c in self.__components]
										return Vector(snake_case__  )
								elif isinstance(snake_case__					,							snake_case__  ) and len(self  ) == len(snake_case__  ):
										SCREAMING_SNAKE_CASE_					      =							len(self  )
										SCREAMING_SNAKE_CASE_					      =							[self.__components[i] * other.component(snake_case__  ) for i in range(snake_case__  )]
										return sum(snake_case__  )
								else:  # error case
										raise Exception('invalid operand!'  )



						def 	__a					(			self	:   Union[str, Any]  ):

								"""simple docstring"""

								return Vector(self.__components  )



						def 	__a					(			self	:   Any					,							snake_case__	:   int  ):

								"""simple docstring"""

								if isinstance(snake_case__					,							snake_case__  ) and -len(self.__components  ) <= i < len(self.__components  ):
										return self.__components[i]
								else:
										raise Exception('index out of range'  )



						def 	__a					(			self	:   int					,							snake_case__	:   int					,							snake_case__	:   float  ):

								"""simple docstring"""

								assert -len(self.__components  ) <= pos < len(self.__components  )
								SCREAMING_SNAKE_CASE_					      =							value



						def 	__a					(			self	:   Dict  ):

								"""simple docstring"""

								if len(self.__components  ) == 0:
										raise Exception('Vector is empty'  )
								SCREAMING_SNAKE_CASE_					      =							[c**2 for c in self.__components]
								return math.sqrt(sum(snake_case__  )  )






						def 	__a					(			self	:   Optional[int]					,							snake_case__	:   Vector					,							snake_case__	:   bool = False  ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_					      =							self * other
								SCREAMING_SNAKE_CASE_					      =							self.euclidean_length() * other.euclidean_length()
								if deg:
										return math.degrees(math.acos(num / den  )  )
								else:
										return math.acos(num / den  )


def 					_a							(					lowerCAmelCase )->	Vector:
		assert isinstance(lowerCAmelCase    ,						lowerCAmelCase )
		return Vector([0] * dimension )


def 					_a							(					lowerCAmelCase    ,						lowerCAmelCase )->	Vector:
		assert isinstance(lowerCAmelCase    ,						lowerCAmelCase ) and (isinstance(lowerCAmelCase    ,						lowerCAmelCase ))
		SCREAMING_SNAKE_CASE_					      =							[0] * dimension
		SCREAMING_SNAKE_CASE_					      =							1
		return Vector(lowerCAmelCase )


def 					_a							(					lowerCAmelCase    ,						lowerCAmelCase    ,						lowerCAmelCase )->	Vector:
		assert (
		    isinstance(lowerCAmelCase    ,						lowerCAmelCase )
		    and isinstance(lowerCAmelCase    ,						lowerCAmelCase )
		    and (isinstance(lowerCAmelCase    ,						(int, float) ))
		)
		return x * scalar + y


def 					_a							(					lowerCAmelCase    ,						lowerCAmelCase    ,						lowerCAmelCase )->	Vector:
		random.seed(lowerCAmelCase )
		SCREAMING_SNAKE_CASE_					      =							[random.randint(lowerCAmelCase    ,						lowerCAmelCase ) for _ in range(lowerCAmelCase )]
		return Vector(lowerCAmelCase )



class    lowercase_		:



						def __init__(			self	:   Dict					,							snake_case__	:   list[list[float]]					,							snake_case__	:   int					,							snake_case__	:   int  ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_					      =							matrix
								SCREAMING_SNAKE_CASE_					      =							w
								SCREAMING_SNAKE_CASE_					      =							h



						def __str__(			self	:   Optional[Any]  ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_					      =							''
								for i in range(self.__height  ):
										ans += "|"
										for j in range(self.__width  ):
												if j < self.__width - 1:
														ans += str(self.__matrix[i][j]  ) + ","
												else:
														ans += str(self.__matrix[i][j]  ) + "|\n"
								return ans



						def __add__(			self	:   Dict					,							snake_case__	:   Matrix  ):

								"""simple docstring"""

								if self.__width == other.width() and self.__height == other.height():
										SCREAMING_SNAKE_CASE_					      =							[]
										for i in range(self.__height  ):
												SCREAMING_SNAKE_CASE_					      =							[
												    self.__matrix[i][j] + other.component(snake_case__					,							snake_case__  )
												    for j in range(self.__width  )
												]
												matrix.append(snake_case__  )
										return Matrix(snake_case__					,							self.__width					,							self.__height  )
								else:
										raise Exception('matrix must have the same dimension!'  )



						def __sub__(			self	:   int					,							snake_case__	:   Matrix  ):

								"""simple docstring"""

								if self.__width == other.width() and self.__height == other.height():
										SCREAMING_SNAKE_CASE_					      =							[]
										for i in range(self.__height  ):
												SCREAMING_SNAKE_CASE_					      =							[
												    self.__matrix[i][j] - other.component(snake_case__					,							snake_case__  )
												    for j in range(self.__width  )
												]
												matrix.append(snake_case__  )
										return Matrix(snake_case__					,							self.__width					,							self.__height  )
								else:
										raise Exception('matrices must have the same dimension!'  )



						@overload
						def __mul__(			self	:   List[Any]					,							snake_case__	:   float  ):

								"""simple docstring"""

								...



						@overload
						def __mul__(			self	:   Optional[Any]					,							snake_case__	:   Vector  ):

								"""simple docstring"""

								...



						def __mul__(			self	:   Optional[int]					,							snake_case__	:   float | Vector  ):

								"""simple docstring"""

								if isinstance(snake_case__					,							snake_case__  ):  # matrix-vector
										if len(snake_case__  ) == self.__width:
												SCREAMING_SNAKE_CASE_					      =							zero_vector(self.__height  )
												for i in range(self.__height  ):
														SCREAMING_SNAKE_CASE_					      =							[
														    self.__matrix[i][j] * other.component(snake_case__  )
														    for j in range(self.__width  )
														]
														ans.change_component(snake_case__					,							sum(snake_case__  )  )
												return ans
										else:
												raise Exception(
												    'vector must have the same size as the '
												    'number of columns of the matrix!'  )
								elif isinstance(snake_case__					,							(int, float)  ):  # matrix-scalar
										SCREAMING_SNAKE_CASE_					      =							[
										    [self.__matrix[i][j] * other for j in range(self.__width  )]
										    for i in range(self.__height  )
										]
										return Matrix(snake_case__					,							self.__width					,							self.__height  )
								return None



						def 	__a					(			self	:   Union[str, Any]  ):

								"""simple docstring"""

								return self.__height



						def 	__a					(			self	:   str  ):

								"""simple docstring"""

								return self.__width



						def 	__a					(			self	:   Optional[Any]					,							snake_case__	:   int					,							snake_case__	:   int  ):

								"""simple docstring"""

								if 0 <= x < self.__height and 0 <= y < self.__width:
										return self.__matrix[x][y]
								else:
										raise Exception('change_component: indices out of bounds'  )



						def 	__a					(			self	:   Any					,							snake_case__	:   int					,							snake_case__	:   int					,							snake_case__	:   float  ):

								"""simple docstring"""

								if 0 <= x < self.__height and 0 <= y < self.__width:
										SCREAMING_SNAKE_CASE_					      =							value
								else:
										raise Exception('change_component: indices out of bounds'  )



						def 	__a					(			self	:   Any					,							snake_case__	:   int					,							snake_case__	:   int  ):

								"""simple docstring"""

								if self.__height != self.__width:
										raise Exception('Matrix is not square'  )
								SCREAMING_SNAKE_CASE_					      =							self.__matrix[:x] + self.__matrix[x + 1 :]
								for i in range(len(snake_case__  )  ):
										SCREAMING_SNAKE_CASE_					      =							minor[i][:y] + minor[i][y + 1 :]
								return Matrix(snake_case__					,							self.__width - 1					,							self.__height - 1  ).determinant()



						def 	__a					(			self	:   int					,							snake_case__	:   int					,							snake_case__	:   int  ):

								"""simple docstring"""

								if self.__height != self.__width:
										raise Exception('Matrix is not square'  )
								if 0 <= x < self.__height and 0 <= y < self.__width:
										return (-1) ** (x + y) * self.minor(snake_case__					,							snake_case__  )
								else:
										raise Exception('Indices out of bounds'  )






						def 	__a					(			self	:   int  ):

								"""simple docstring"""

								if self.__height != self.__width:
										raise Exception('Matrix is not square'  )
								if self.__height < 1:
										raise Exception('Matrix has no element'  )
								elif self.__height == 1:
										return self.__matrix[0][0]
								elif self.__height == 2:
										return (
										    self.__matrix[0][0] * self.__matrix[1][1]
										    - self.__matrix[0][1] * self.__matrix[1][0]
										)
								else:
										SCREAMING_SNAKE_CASE_					      =							[
										    self.__matrix[0][y] * self.cofactor(0					,							snake_case__  ) for y in range(self.__width  )
										]
										return sum(snake_case__  )


def 					_a							(					lowerCAmelCase )->	Matrix:
		SCREAMING_SNAKE_CASE_					      =							[[0] * n for _ in range(lowerCAmelCase )]
		return Matrix(lowerCAmelCase    ,						lowerCAmelCase    ,						lowerCAmelCase )




def 					_a							(					lowerCAmelCase    ,						lowerCAmelCase    ,						lowerCAmelCase    ,						lowerCAmelCase )->	Matrix:
		random.seed(lowerCAmelCase )
		SCREAMING_SNAKE_CASE_					      =							[
		    [random.randint(lowerCAmelCase    ,						lowerCAmelCase ) for _ in range(lowerCAmelCase )] for _ in range(lowerCAmelCase )
		]
		return Matrix(lowerCAmelCase    ,						lowerCAmelCase    ,						lowerCAmelCase )





from typing import Mapping

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxSeqaSeqConfigWithPast
from ...utils import logging


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

SCREAMING_SNAKE_CASE:     Optional[Any]									= {
    '''google/umt5-small''': '''https://huggingface.co/google/umt5-small/resolve/main/config.json''',
    # See all umt5 models at https://huggingface.co/models?filter=umt5
}



class    lowercase_		(SCREAMING_SNAKE_CASE__ ):
						lowerCAmelCase__			      ="umt5"
						lowerCAmelCase__			      =["past_key_values"]



						def __init__(			self	:   Optional[Any]					,							snake_case__	:   Union[str, Any]=25_01_12					,							snake_case__	:   Optional[int]=5_12					,							snake_case__	:   Optional[Any]=64					,							snake_case__	:   str=10_24					,							snake_case__	:   Dict=8					,							snake_case__	:   Union[str, Any]=None					,							snake_case__	:   List[Any]=6					,							snake_case__	:   List[Any]=32					,							snake_case__	:   List[Any]=1_28					,							snake_case__	:   Optional[int]=0.1					,							snake_case__	:   List[str]=1e-6					,							snake_case__	:   Optional[Any]=1.0					,							snake_case__	:   Optional[int]="gated-gelu"					,							snake_case__	:   Any=True					,							snake_case__	:   List[Any]=True					,							snake_case__	:   List[str]="T5Tokenizer"					,							snake_case__	:   List[str]=True					,							snake_case__	:   Tuple=0					,							snake_case__	:   Optional[int]=1					,							snake_case__	:   List[str]=0					,							**snake_case__	:   Any					,							):

								"""simple docstring"""

								super().__init__(
								    is_encoder_decoder=snake_case__					,							tokenizer_class=snake_case__					,							tie_word_embeddings=snake_case__					,							pad_token_id=snake_case__					,							eos_token_id=snake_case__					,							decoder_start_token_id=snake_case__					,							**snake_case__					,							)
								SCREAMING_SNAKE_CASE_					      =							vocab_size
								SCREAMING_SNAKE_CASE_					      =							d_model
								SCREAMING_SNAKE_CASE_					      =							d_kv
								SCREAMING_SNAKE_CASE_					      =							d_ff
								SCREAMING_SNAKE_CASE_					      =							num_layers
								SCREAMING_SNAKE_CASE_					      =							(
								    num_decoder_layers if num_decoder_layers is not None else self.num_layers
								)  # default = symmetry
								SCREAMING_SNAKE_CASE_					      =							num_heads
								SCREAMING_SNAKE_CASE_					      =							relative_attention_num_buckets
								SCREAMING_SNAKE_CASE_					      =							relative_attention_max_distance
								SCREAMING_SNAKE_CASE_					      =							dropout_rate
								SCREAMING_SNAKE_CASE_					      =							layer_norm_epsilon
								SCREAMING_SNAKE_CASE_					      =							initializer_factor
								SCREAMING_SNAKE_CASE_					      =							feed_forward_proj
								SCREAMING_SNAKE_CASE_					      =							use_cache

								SCREAMING_SNAKE_CASE_					      =							self.feed_forward_proj.split('-'  )
								SCREAMING_SNAKE_CASE_					      =							act_info[-1]
								SCREAMING_SNAKE_CASE_					      =							act_info[0] == 'gated'

								if len(snake_case__  ) > 1 and act_info[0] != "gated" or len(snake_case__  ) > 2:
										raise ValueError(
										    f'''`feed_forward_proj`: {feed_forward_proj} is not a valid activation function of the dense layer.'''
										    'Please make sure `feed_forward_proj` is of the format `gated-{ACT_FN}` or `{ACT_FN}`, e.g. '
										    '\'gated-gelu\' or \'relu\''  )

								if feed_forward_proj == "gated-gelu":
										SCREAMING_SNAKE_CASE_					      =							'gelu_new'



						@property
						def 	__a					(			self	:   Optional[Any]  ):

								"""simple docstring"""

								return self.d_model



						@property
						def 	__a					(			self	:   Union[str, Any]  ):

								"""simple docstring"""

								return self.num_heads






						@property
						def 	__a					(			self	:   Optional[Any]  ):

								"""simple docstring"""

								return self.num_layers



class    lowercase_		(SCREAMING_SNAKE_CASE__ ):



						@property
						# Copied from transformers.models.t5.configuration_t5.T5OnnxConfig.inputs
						def 	__a					(			self	:   int  ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_					      =							{
								    'input_ids': {0: 'batch', 1: 'encoder_sequence'},
								    'attention_mask': {0: 'batch', 1: 'encoder_sequence'},
								}
								if self.use_past:
										SCREAMING_SNAKE_CASE_					      =							'past_encoder_sequence + sequence'
										SCREAMING_SNAKE_CASE_					      =							{0: 'batch'}
										SCREAMING_SNAKE_CASE_					      =							{0: 'batch', 1: 'past_decoder_sequence + sequence'}
								else:
										SCREAMING_SNAKE_CASE_					      =							{0: 'batch', 1: 'decoder_sequence'}
										SCREAMING_SNAKE_CASE_					      =							{0: 'batch', 1: 'decoder_sequence'}

								if self.use_past:
										self.fill_with_past_key_values_(snake_case__					,							direction='inputs'  )

								return common_inputs



						@property
						# Copied from transformers.models.t5.configuration_t5.T5OnnxConfig.default_onnx_opset
						def 	__a					(			self	:   Union[str, Any]  ):

								"""simple docstring"""

								return 13






						@property
						def 	__a					(			self	:   Dict  ):

								"""simple docstring"""

								return 5e-4