

from __future__ import annotations

import math





def       __lowerCamelCase			(				UpperCamelCase__     ,							UpperCamelCase__   ):







							'''simple docstring'''






							if len(UpperCamelCase__   ) != 2 or len(a[0]   ) != 2 or len(UpperCamelCase__   ) != 2 or len(b[0]   ) != 2:
														raise Exception('Matrices are not 2x2'   )
							snake_case_           =					[
							    [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			(				UpperCamelCase__     ,							UpperCamelCase__   ):







							'''simple docstring'''






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





def       __lowerCamelCase			(				UpperCamelCase__     ,							UpperCamelCase__   ):







							'''simple docstring'''






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





def       __lowerCamelCase			(				UpperCamelCase__   ):







							'''simple docstring'''






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

							snake_case_           =					len(UpperCamelCase__   )
							snake_case_           =					matrix_length // 2

							snake_case_           =					[[a[i][j] for j in range(UpperCamelCase__     ,							UpperCamelCase__   )] for i in range(UpperCamelCase__   )]
							snake_case_           =					[
							    [a[i][j] for j in range(UpperCamelCase__     ,							UpperCamelCase__   )] for i in range(UpperCamelCase__     ,							UpperCamelCase__   )
							]

							snake_case_           =					[[a[i][j] for j in range(UpperCamelCase__   )] for i in range(UpperCamelCase__   )]
							snake_case_           =					[[a[i][j] for j in range(UpperCamelCase__   )] for i in range(UpperCamelCase__     ,							UpperCamelCase__   )]

							return top_left, top_right, bot_left, bot_right





def       __lowerCamelCase			(				UpperCamelCase__   ):







							'''simple docstring'''






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





def       __lowerCamelCase			(				UpperCamelCase__   ):







							'''simple docstring'''






							print('\n'.join(str(UpperCamelCase__   ) for line in matrix   )   )





def       __lowerCamelCase			(				UpperCamelCase__     ,							UpperCamelCase__   ):







							'''simple docstring'''






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

							snake_case_       ,					snake_case_       ,					snake_case_       ,					snake_case_           =					split_matrix(UpperCamelCase__   )
							snake_case_       ,					snake_case_       ,					snake_case_       ,					snake_case_           =					split_matrix(UpperCamelCase__   )

							snake_case_           =					actual_strassen(UpperCamelCase__     ,							matrix_subtraction(UpperCamelCase__     ,							UpperCamelCase__   )   )
							snake_case_           =					actual_strassen(matrix_addition(UpperCamelCase__     ,							UpperCamelCase__   )     ,							UpperCamelCase__   )
							snake_case_           =					actual_strassen(matrix_addition(UpperCamelCase__     ,							UpperCamelCase__   )     ,							UpperCamelCase__   )
							snake_case_           =					actual_strassen(UpperCamelCase__     ,							matrix_subtraction(UpperCamelCase__     ,							UpperCamelCase__   )   )
							snake_case_           =					actual_strassen(matrix_addition(UpperCamelCase__     ,							UpperCamelCase__   )     ,							matrix_addition(UpperCamelCase__     ,							UpperCamelCase__   )   )
							snake_case_           =					actual_strassen(matrix_subtraction(UpperCamelCase__     ,							UpperCamelCase__   )     ,							matrix_addition(UpperCamelCase__     ,							UpperCamelCase__   )   )
							snake_case_           =					actual_strassen(matrix_subtraction(UpperCamelCase__     ,							UpperCamelCase__   )     ,							matrix_addition(UpperCamelCase__     ,							UpperCamelCase__   )   )

							snake_case_           =					matrix_addition(matrix_subtraction(matrix_addition(UpperCamelCase__     ,							UpperCamelCase__   )     ,							UpperCamelCase__   )     ,							UpperCamelCase__   )
							snake_case_           =					matrix_addition(UpperCamelCase__     ,							UpperCamelCase__   )
							snake_case_           =					matrix_addition(UpperCamelCase__     ,							UpperCamelCase__   )
							snake_case_           =					matrix_subtraction(matrix_subtraction(matrix_addition(UpperCamelCase__     ,							UpperCamelCase__   )     ,							UpperCamelCase__   )     ,							UpperCamelCase__   )

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





def       __lowerCamelCase			(				UpperCamelCase__     ,							UpperCamelCase__   ):







							'''simple docstring'''






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

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

							snake_case_           =					max(*UpperCamelCase__     ,							*UpperCamelCase__   )
							snake_case_           =					int(math.pow(2     ,							math.ceil(math.loga(UpperCamelCase__   )   )   )   )
							snake_case_           =					matrixa
							snake_case_           =					matrixa

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

							snake_case_           =					actual_strassen(UpperCamelCase__     ,							UpperCamelCase__   )

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


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







# NOTE: This file is deprecated and will be removed in a future version.
# It only exists so that temporarely `from diffusers.pipelines import DiffusionPipeline` works
from ...utils import deprecate
from ..controlnet.multicontrolnet import MultiControlNetModel  # noqa: F401
from ..controlnet.pipeline_controlnet import StableDiffusionControlNetPipeline  # noqa: F401


deprecate(
    """stable diffusion controlnet""",
    """0.22.0""",
    """Importing `StableDiffusionControlNetPipeline` or `MultiControlNetModel` from diffusers.pipelines.stable_diffusion.pipeline_stable_diffusion_controlnet is deprecated. Please import `from diffusers import StableDiffusionControlNetPipeline` instead.""",
    standard_warn=False,
    stacklevel=3,
)




