



'''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


lowerCAmelCase	:		Any				=   logging.get_logger(__name__)

lowerCAmelCase	:		Optional[Any]				=   {
    '''facebook/data2vec-vision-base-ft''': (
        '''https://huggingface.co/facebook/data2vec-vision-base-ft/resolve/main/config.json'''
    ),
}






class 					UpperCAmelCase__	(		UpperCamelCase__      ):
					a      :     Dict        =							"""data2vec-vision"""



					def __init__(    self			,				UpperCamelCase=768			,				UpperCamelCase=12			,				UpperCamelCase=12			,				UpperCamelCase=3072			,				UpperCamelCase="gelu"			,				UpperCamelCase=0.0			,				UpperCamelCase=0.0			,				UpperCamelCase=0.02			,				UpperCamelCase=1E-12			,				UpperCamelCase=224			,				UpperCamelCase=16			,				UpperCamelCase=3			,				UpperCamelCase=False			,				UpperCamelCase=False			,				UpperCamelCase=False			,				UpperCamelCase=False			,				UpperCamelCase=0.1			,				UpperCamelCase=0.1			,				UpperCamelCase=True			,				UpperCamelCase=[3, 5, 7, 11]			,				UpperCamelCase=[1, 2, 3, 6]			,				UpperCamelCase=True			,				UpperCamelCase=0.4			,				UpperCamelCase=256			,				UpperCamelCase=1			,				UpperCamelCase=False			,				UpperCamelCase=255			,				**UpperCamelCase			,				)     ->			Any:
						super().__init__(**UpperCamelCase     )

						__lowerCAmelCase												=  hidden_size
						__lowerCAmelCase												=  num_hidden_layers
						__lowerCAmelCase												=  num_attention_heads
						__lowerCAmelCase												=  intermediate_size
						__lowerCAmelCase												=  hidden_act
						__lowerCAmelCase												=  hidden_dropout_prob
						__lowerCAmelCase												=  attention_probs_dropout_prob
						__lowerCAmelCase												=  initializer_range
						__lowerCAmelCase												=  layer_norm_eps

						__lowerCAmelCase												=  image_size
						__lowerCAmelCase												=  patch_size
						__lowerCAmelCase												=  num_channels
						__lowerCAmelCase												=  use_mask_token
						__lowerCAmelCase												=  use_absolute_position_embeddings
						__lowerCAmelCase												=  use_relative_position_bias
						__lowerCAmelCase												=  use_shared_relative_position_bias
						__lowerCAmelCase												=  layer_scale_init_value
						__lowerCAmelCase												=  drop_path_rate
						__lowerCAmelCase												=  use_mean_pooling
						# decode head attributes (semantic segmentation)
						__lowerCAmelCase												=  out_indices
						__lowerCAmelCase												=  pool_scales
						# auxiliary head attributes (semantic segmentation)
						__lowerCAmelCase												=  use_auxiliary_head
						__lowerCAmelCase												=  auxiliary_loss_weight
						__lowerCAmelCase												=  auxiliary_channels
						__lowerCAmelCase												=  auxiliary_num_convs
						__lowerCAmelCase												=  auxiliary_concat_input
						__lowerCAmelCase												=  semantic_loss_ignore_index






class 					UpperCAmelCase__	(		UpperCamelCase__      ):
					a      :     str        =							version.parse("""1.11"""      )



					@property
					def        UpperCAmelCase_ (    self     )     ->			Mapping[str, Mapping[int, str]]:
						return OrderedDict(
						    [
						        ("pixel_values", {0: "batch", 1: "num_channels", 2: "height", 3: "width"}),
						    ]     )



					@property
					def        UpperCAmelCase_ (    self     )     ->			float:
						return 1E-4




'''simple docstring'''



from __future__ import annotations

import math



def   __lowerCAmelCase					(							lowerCamelCase   :						list				,		lowerCamelCase   :						list					):






	'''simple docstring'''




	if len(lowerCamelCase					) != 2 or len(a[0]					) != 2 or len(lowerCamelCase					) != 2 or len(b[0]					) != 2:
		raise Exception("Matrices are not 2x2"					)
	__lowerCAmelCase												=  [
	    [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   __lowerCAmelCase					(							lowerCamelCase   :						list				,		lowerCamelCase   :						list					):






	'''simple docstring'''




	return [
	    [matrix_a[row][col] + matrix_b[row][col] for col in range(len(matrix_a[row]					)					)]
	    for row in range(len(lowerCamelCase					)					)
	]



def   __lowerCAmelCase					(							lowerCamelCase   :						list				,		lowerCamelCase   :						list					):






	'''simple docstring'''




	return [
	    [matrix_a[row][col] - matrix_b[row][col] for col in range(len(matrix_a[row]					)					)]
	    for row in range(len(lowerCamelCase					)					)
	]



def   __lowerCAmelCase					(							lowerCamelCase   :						list					):






	'''simple docstring'''




	if len(lowerCamelCase					) % 2 != 0 or len(a[0]					) % 2 != 0:
		raise Exception("Odd matrices are not supported!"					)

	__lowerCAmelCase												=  len(lowerCamelCase					)
	__lowerCAmelCase												=  matrix_length // 2

	__lowerCAmelCase												=  [[a[i][j] for j in range(lowerCamelCase				,		lowerCamelCase					)] for i in range(lowerCamelCase					)]
	__lowerCAmelCase												=  [
	    [a[i][j] for j in range(lowerCamelCase				,		lowerCamelCase					)] for i in range(lowerCamelCase				,		lowerCamelCase					)
	]

	__lowerCAmelCase												=  [[a[i][j] for j in range(lowerCamelCase					)] for i in range(lowerCamelCase					)]
	__lowerCAmelCase												=  [[a[i][j] for j in range(lowerCamelCase					)] for i in range(lowerCamelCase				,		lowerCamelCase					)]

	return top_left, top_right, bot_left, bot_right



def   __lowerCAmelCase					(							lowerCamelCase   :						list					):






	'''simple docstring'''




	return len(lowerCamelCase					), len(matrix[0]					)



def   __lowerCAmelCase					(							lowerCamelCase   :						list					):






	'''simple docstring'''




	print("\n".join(str(lowerCamelCase					) for line in matrix					)					)



def   __lowerCAmelCase					(							lowerCamelCase   :						list				,		lowerCamelCase   :						list					):






	'''simple docstring'''




	if matrix_dimensions(lowerCamelCase					) == (2, 2):
		return default_matrix_multiplication(lowerCamelCase				,		lowerCamelCase					)

	__lowerCAmelCase							,       __lowerCAmelCase							,       __lowerCAmelCase							,       __lowerCAmelCase												=  split_matrix(lowerCamelCase					)
	__lowerCAmelCase							,       __lowerCAmelCase							,       __lowerCAmelCase							,       __lowerCAmelCase												=  split_matrix(lowerCamelCase					)

	__lowerCAmelCase												=  actual_strassen(lowerCamelCase				,		matrix_subtraction(lowerCamelCase				,		lowerCamelCase					)					)
	__lowerCAmelCase												=  actual_strassen(matrix_addition(lowerCamelCase				,		lowerCamelCase					)				,		lowerCamelCase					)
	__lowerCAmelCase												=  actual_strassen(matrix_addition(lowerCamelCase				,		lowerCamelCase					)				,		lowerCamelCase					)
	__lowerCAmelCase												=  actual_strassen(lowerCamelCase				,		matrix_subtraction(lowerCamelCase				,		lowerCamelCase					)					)
	__lowerCAmelCase												=  actual_strassen(matrix_addition(lowerCamelCase				,		lowerCamelCase					)				,		matrix_addition(lowerCamelCase				,		lowerCamelCase					)					)
	__lowerCAmelCase												=  actual_strassen(matrix_subtraction(lowerCamelCase				,		lowerCamelCase					)				,		matrix_addition(lowerCamelCase				,		lowerCamelCase					)					)
	__lowerCAmelCase												=  actual_strassen(matrix_subtraction(lowerCamelCase				,		lowerCamelCase					)				,		matrix_addition(lowerCamelCase				,		lowerCamelCase					)					)

	__lowerCAmelCase												=  matrix_addition(matrix_subtraction(matrix_addition(lowerCamelCase				,		lowerCamelCase					)				,		lowerCamelCase					)				,		lowerCamelCase					)
	__lowerCAmelCase												=  matrix_addition(lowerCamelCase				,		lowerCamelCase					)
	__lowerCAmelCase												=  matrix_addition(lowerCamelCase				,		lowerCamelCase					)
	__lowerCAmelCase												=  matrix_subtraction(matrix_subtraction(matrix_addition(lowerCamelCase				,		lowerCamelCase					)				,		lowerCamelCase					)				,		lowerCamelCase					)

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



def   __lowerCAmelCase					(							lowerCamelCase   :						list				,		lowerCamelCase   :						list					):






	'''simple docstring'''




	if matrix_dimensions(lowerCamelCase					)[1] != matrix_dimensions(lowerCamelCase					)[0]:
		__lowerCAmelCase												=  (
		    "Unable to multiply these matrices, please check the dimensions.\n"
		    f'''Matrix A: {matrixa}\n'''
		    f'''Matrix B: {matrixa}'''
		)
		raise Exception(lowerCamelCase					)
	__lowerCAmelCase												=  matrix_dimensions(lowerCamelCase					)
	__lowerCAmelCase												=  matrix_dimensions(lowerCamelCase					)

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

	__lowerCAmelCase												=  max(*lowerCamelCase				,		*lowerCamelCase					)
	__lowerCAmelCase												=  int(math.pow(2				,		math.ceil(math.loga(lowerCamelCase					)					)					)					)
	__lowerCAmelCase												=  matrixa
	__lowerCAmelCase												=  matrixa

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

	__lowerCAmelCase												=  actual_strassen(lowerCamelCase				,		lowerCamelCase					)

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


if __name__ == "__main__":
	lowerCAmelCase	:		Tuple				=   [
	    [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],
	]
	lowerCAmelCase	:		Any				=   [[0, 2, 1, 1], [1_6, 2, 3, 3], [2, 2, 7, 7], [1_3, 1_1, 2_2, 4]]
	print(strassen(matrixa, matrixa))