

"""simple docstring"""


from __future__ import annotations

import math






def     a__    (    __SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )	->	list:
		if len(__SCREAMING_SNAKE_CASE ) != 2 or len(a[0] ) != 2 or len(__SCREAMING_SNAKE_CASE ) != 2 or len(b[0] ) != 2:
				raise Exception("Matrices are not 2x2" )
		__lowerCAmelCase:       Tuple          =			[
		    [a[0][0] * b[0][0] + a[0][1] * b[1][0], a[0][0] * b[0][1] + a[0][1] * b[1][1]],
		    [a[1][0] * b[0][0] + a[1][1] * b[1][0], a[1][0] * b[0][1] + a[1][1] * b[1][1]],
		]
		return new_matrix






def     a__    (    __SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )	->	Optional[int]:
		return [
		    [matrix_a[row][col] + matrix_b[row][col] for col in range(len(matrix_a[row] ) )]
		    for row in range(len(__SCREAMING_SNAKE_CASE ) )
		]






def     a__    (    __SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )	->	Optional[Any]:
		return [
		    [matrix_a[row][col] - matrix_b[row][col] for col in range(len(matrix_a[row] ) )]
		    for row in range(len(__SCREAMING_SNAKE_CASE ) )
		]






def     a__    (    __SCREAMING_SNAKE_CASE )	->	tuple[list, list, list, list]:
		if len(__SCREAMING_SNAKE_CASE ) % 2 != 0 or len(a[0] ) % 2 != 0:
				raise Exception("Odd matrices are not supported!" )

		__lowerCAmelCase:       Dict          =			len(__SCREAMING_SNAKE_CASE )
		__lowerCAmelCase:       int          =			matrix_length // 2

		__lowerCAmelCase:       int          =			[[a[i][j] for j in range(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )] for i in range(__SCREAMING_SNAKE_CASE )]
		__lowerCAmelCase:       List[Any]          =			[
		    [a[i][j] for j in range(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )] for i in range(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )
		]

		__lowerCAmelCase:       str          =			[[a[i][j] for j in range(__SCREAMING_SNAKE_CASE )] for i in range(__SCREAMING_SNAKE_CASE )]
		__lowerCAmelCase:       List[Any]          =			[[a[i][j] for j in range(__SCREAMING_SNAKE_CASE )] for i in range(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )]

		return top_left, top_right, bot_left, bot_right






def     a__    (    __SCREAMING_SNAKE_CASE )	->	tuple[int, int]:
		return len(__SCREAMING_SNAKE_CASE ), len(matrix[0] )






def     a__    (    __SCREAMING_SNAKE_CASE )	->	None:
		print("\n".join(str(__SCREAMING_SNAKE_CASE ) for line in matrix ) )






def     a__    (    __SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )	->	list:
		if matrix_dimensions(__SCREAMING_SNAKE_CASE ) == (2, 2):
				return default_matrix_multiplication(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )

		__lowerCAmelCase      , __lowerCAmelCase      , __lowerCAmelCase      , __lowerCAmelCase:       Any          =			split_matrix(__SCREAMING_SNAKE_CASE )
		__lowerCAmelCase      , __lowerCAmelCase      , __lowerCAmelCase      , __lowerCAmelCase:       int          =			split_matrix(__SCREAMING_SNAKE_CASE )

		__lowerCAmelCase:       Dict          =			actual_strassen(__SCREAMING_SNAKE_CASE					, matrix_subtraction(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE ) )
		__lowerCAmelCase:       Union[str, Any]          =			actual_strassen(matrix_addition(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )					, __SCREAMING_SNAKE_CASE )
		__lowerCAmelCase:       int          =			actual_strassen(matrix_addition(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )					, __SCREAMING_SNAKE_CASE )
		__lowerCAmelCase:       Optional[Any]          =			actual_strassen(__SCREAMING_SNAKE_CASE					, matrix_subtraction(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE ) )
		__lowerCAmelCase:       str          =			actual_strassen(matrix_addition(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )					, matrix_addition(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE ) )
		__lowerCAmelCase:       List[str]          =			actual_strassen(matrix_subtraction(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )					, matrix_addition(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE ) )
		__lowerCAmelCase:       Any          =			actual_strassen(matrix_subtraction(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )					, matrix_addition(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE ) )

		__lowerCAmelCase:       Optional[int]          =			matrix_addition(matrix_subtraction(matrix_addition(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )					, __SCREAMING_SNAKE_CASE )					, __SCREAMING_SNAKE_CASE )
		__lowerCAmelCase:       Optional[int]          =			matrix_addition(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )
		__lowerCAmelCase:       Optional[Any]          =			matrix_addition(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )
		__lowerCAmelCase:       Union[str, Any]          =			matrix_subtraction(matrix_subtraction(matrix_addition(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )					, __SCREAMING_SNAKE_CASE )					, __SCREAMING_SNAKE_CASE )

		# construct the new matrix from our 4 quadrants
		__lowerCAmelCase:       Union[str, Any]          =			[]
		for i in range(len(__SCREAMING_SNAKE_CASE ) ):
				new_matrix.append(top_left[i] + top_right[i] )
		for i in range(len(__SCREAMING_SNAKE_CASE ) ):
				new_matrix.append(bot_left[i] + bot_right[i] )
		return new_matrix






def     a__    (    __SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )	->	list:
		if matrix_dimensions(__SCREAMING_SNAKE_CASE )[1] != matrix_dimensions(__SCREAMING_SNAKE_CASE )[0]:
				__lowerCAmelCase:       Any          =			(
				    "Unable to multiply these matrices, please check the dimensions.\n"
				    F"Matrix A: {matrixa}\n"
				    F"Matrix B: {matrixa}"
				)
				raise Exception(__SCREAMING_SNAKE_CASE )
		__lowerCAmelCase:       Union[str, Any]          =			matrix_dimensions(__SCREAMING_SNAKE_CASE )
		__lowerCAmelCase:       Tuple          =			matrix_dimensions(__SCREAMING_SNAKE_CASE )

		if dimensiona[0] == dimensiona[1] and dimensiona[0] == dimensiona[1]:
				return [matrixa, matrixa]

		__lowerCAmelCase:       int          =			max(*__SCREAMING_SNAKE_CASE					, *__SCREAMING_SNAKE_CASE )
		__lowerCAmelCase:       Any          =			int(math.pow(2					, math.ceil(math.loga(__SCREAMING_SNAKE_CASE ) ) ) )
		__lowerCAmelCase:       int          =			matrixa
		__lowerCAmelCase:       Union[str, Any]          =			matrixa

		# Adding zeros to the matrices so that the arrays dimensions are the same and also
		# power of 2
		for i in range(0					, __SCREAMING_SNAKE_CASE ):
				if i < dimensiona[0]:
						for _ in range(dimensiona[1]					, __SCREAMING_SNAKE_CASE ):
								new_matrixa[i].append(0 )
				else:
						new_matrixa.append([0] * maxim )
				if i < dimensiona[0]:
						for _ in range(dimensiona[1]					, __SCREAMING_SNAKE_CASE ):
								new_matrixa[i].append(0 )
				else:
						new_matrixa.append([0] * maxim )

		__lowerCAmelCase:       List[Any]          =			actual_strassen(__SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE )

		# Removing the additional zeros
		for i in range(0					, __SCREAMING_SNAKE_CASE ):
				if i < dimensiona[0]:
						for _ in range(dimensiona[1]					, __SCREAMING_SNAKE_CASE ):
								final_matrix[i].pop()
				else:
						final_matrix.pop()
		return final_matrix


if __name__ == "__main__":
			__A						   =			[
			    [2, 3, 4, 5],
			    [6, 4, 3, 1],
			    [2, 3, 6, 7],
			    [3, 1, 2, 4],
			    [2, 3, 4, 5],
			    [6, 4, 3, 1],
			    [2, 3, 6, 7],
			    [3, 1, 2, 4],
			    [2, 3, 4, 5],
			    [6, 2, 3, 1],
			]
			__A						   =			[[0, 2, 1, 1], [16, 2, 3, 3], [2, 2, 7, 7], [13, 11, 22, 4]]
			print(strassen(matrixa, matrixa))





"""simple docstring"""


from collections import OrderedDict
from typing import Mapping

from packaging import version

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


__A						   =			logging.get_logger(__name__)

__A						   =			{
    "microsoft/beit-base-patch16-224-pt22k": (
        "https://huggingface.co/microsoft/beit-base-patch16-224-pt22k/resolve/main/config.json"
    ),
    # See all BEiT models at https://huggingface.co/models?filter=beit
}





class     snake_case	(				__snake_case  ):
				SCREAMING_SNAKE_CASE_   :      Tuple         =  """beit"""

				def __init__(	self							:				List[Any]     ,  UpperCamelCase__							:				List[str]=8_1_9_2     ,  UpperCamelCase__							:				Dict=7_6_8     ,  UpperCamelCase__							:				List[str]=1_2     ,  UpperCamelCase__							:				Union[str, Any]=1_2     ,  UpperCamelCase__							:				Dict=3_0_7_2     ,  UpperCamelCase__							:				Optional[int]="gelu"     ,  UpperCamelCase__							:				Tuple=0.0     ,  UpperCamelCase__							:				Tuple=0.0     ,  UpperCamelCase__							:				Union[str, Any]=0.02     ,  UpperCamelCase__							:				Optional[Any]=1e-12     ,  UpperCamelCase__							:				str=2_2_4     ,  UpperCamelCase__							:				str=1_6     ,  UpperCamelCase__							:				Union[str, Any]=3     ,  UpperCamelCase__							:				Optional[int]=False     ,  UpperCamelCase__							:				int=False     ,  UpperCamelCase__							:				Optional[Any]=False     ,  UpperCamelCase__							:				Optional[Any]=False     ,  UpperCamelCase__							:				Dict=0.1     ,  UpperCamelCase__							:				List[Any]=0.1     ,  UpperCamelCase__							:				Any=True     ,  UpperCamelCase__							:				Optional[Any]=[3, 5, 7, 1_1]     ,  UpperCamelCase__							:				Optional[Any]=[1, 2, 3, 6]     ,  UpperCamelCase__							:				Optional[Any]=True     ,  UpperCamelCase__							:				Tuple=0.4     ,  UpperCamelCase__							:				Optional[Any]=2_5_6     ,  UpperCamelCase__							:				Optional[int]=1     ,  UpperCamelCase__							:				Optional[int]=False     ,  UpperCamelCase__							:				Optional[Any]=2_5_5     ,  **UpperCamelCase__							:				Optional[int]     ,  )->   int:



						'''simple docstring'''


						super().__init__(**UpperCamelCase__)

						__lowerCAmelCase:       str          =			vocab_size
						__lowerCAmelCase:       List[Any]          =			hidden_size
						__lowerCAmelCase:       str          =			num_hidden_layers
						__lowerCAmelCase:       Tuple          =			num_attention_heads
						__lowerCAmelCase:       Union[str, Any]          =			intermediate_size
						__lowerCAmelCase:       List[Any]          =			hidden_act
						__lowerCAmelCase:       Optional[Any]          =			hidden_dropout_prob
						__lowerCAmelCase:       List[Any]          =			attention_probs_dropout_prob
						__lowerCAmelCase:       str          =			initializer_range
						__lowerCAmelCase:       Optional[Any]          =			layer_norm_eps

						__lowerCAmelCase:       Any          =			image_size
						__lowerCAmelCase:       Any          =			patch_size
						__lowerCAmelCase:       Union[str, Any]          =			num_channels
						__lowerCAmelCase:       Tuple          =			use_mask_token
						__lowerCAmelCase:       Optional[Any]          =			use_absolute_position_embeddings
						__lowerCAmelCase:       List[Any]          =			use_relative_position_bias
						__lowerCAmelCase:       Optional[Any]          =			use_shared_relative_position_bias
						__lowerCAmelCase:       List[str]          =			layer_scale_init_value
						__lowerCAmelCase:       str          =			drop_path_rate
						__lowerCAmelCase:       str          =			use_mean_pooling
						# decode head attributes (semantic segmentation)
						__lowerCAmelCase:       Optional[Any]          =			out_indices
						__lowerCAmelCase:       Union[str, Any]          =			pool_scales
						# auxiliary head attributes (semantic segmentation)
						__lowerCAmelCase:       List[str]          =			use_auxiliary_head
						__lowerCAmelCase:       Union[str, Any]          =			auxiliary_loss_weight
						__lowerCAmelCase:       Optional[int]          =			auxiliary_channels
						__lowerCAmelCase:       Dict          =			auxiliary_num_convs
						__lowerCAmelCase:       List[Any]          =			auxiliary_concat_input
						__lowerCAmelCase:       str          =			semantic_loss_ignore_index





class     snake_case	(				__snake_case  ):
				SCREAMING_SNAKE_CASE_   :      Optional[Any]         =  version.parse("""1.11"""  )

				@property
				def 							lowercase_     (	self							:				str)->   Mapping[str, Mapping[int, str]]:



						'''simple docstring'''


						return OrderedDict(
						    [
						        ("pixel_values", {0: "batch", 1: "num_channels", 2: "height", 3: "width"}),
						    ])




				@property
				def 							lowercase_     (	self							:				Any)->   float:



						'''simple docstring'''


						return 1e-4


