


from __future__ import annotations

import math







def 						lowerCamelCase(   a__	,a__):

				'''simple docstring'''





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

				'''simple docstring'''





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







def 						lowerCamelCase(   a__	,a__):

				'''simple docstring'''





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







def 						lowerCamelCase(   a__):

				'''simple docstring'''





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

				_SCREAMING_SNAKE_CASE			  =len(__snake_case)
				_SCREAMING_SNAKE_CASE			  =matrix_length // 2

				_SCREAMING_SNAKE_CASE			  =[[a[i][j] for j in range(__snake_case	,__snake_case)] for i in range(__snake_case)]
				_SCREAMING_SNAKE_CASE			  =[
				    [a[i][j] for j in range(__snake_case	,__snake_case)] for i in range(__snake_case	,__snake_case)
				]

				_SCREAMING_SNAKE_CASE			  =[[a[i][j] for j in range(__snake_case)] for i in range(__snake_case)]
				_SCREAMING_SNAKE_CASE			  =[[a[i][j] for j in range(__snake_case)] for i in range(__snake_case	,__snake_case)]

				return top_left, top_right, bot_left, bot_right







def 						lowerCamelCase(   a__):

				'''simple docstring'''





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







def 						lowerCamelCase(   a__):

				'''simple docstring'''





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







def 						lowerCamelCase(   a__	,a__):

				'''simple docstring'''





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

				_SCREAMING_SNAKE_CASE  ,				_SCREAMING_SNAKE_CASE  ,				_SCREAMING_SNAKE_CASE  ,				_SCREAMING_SNAKE_CASE			  =split_matrix(__snake_case)
				_SCREAMING_SNAKE_CASE  ,				_SCREAMING_SNAKE_CASE  ,				_SCREAMING_SNAKE_CASE  ,				_SCREAMING_SNAKE_CASE			  =split_matrix(__snake_case)

				_SCREAMING_SNAKE_CASE			  =actual_strassen(__snake_case	,matrix_subtraction(__snake_case	,__snake_case))
				_SCREAMING_SNAKE_CASE			  =actual_strassen(matrix_addition(__snake_case	,__snake_case)	,__snake_case)
				_SCREAMING_SNAKE_CASE			  =actual_strassen(matrix_addition(__snake_case	,__snake_case)	,__snake_case)
				_SCREAMING_SNAKE_CASE			  =actual_strassen(__snake_case	,matrix_subtraction(__snake_case	,__snake_case))
				_SCREAMING_SNAKE_CASE			  =actual_strassen(matrix_addition(__snake_case	,__snake_case)	,matrix_addition(__snake_case	,__snake_case))
				_SCREAMING_SNAKE_CASE			  =actual_strassen(matrix_subtraction(__snake_case	,__snake_case)	,matrix_addition(__snake_case	,__snake_case))
				_SCREAMING_SNAKE_CASE			  =actual_strassen(matrix_subtraction(__snake_case	,__snake_case)	,matrix_addition(__snake_case	,__snake_case))

				_SCREAMING_SNAKE_CASE			  =matrix_addition(matrix_subtraction(matrix_addition(__snake_case	,__snake_case)	,__snake_case)	,__snake_case)
				_SCREAMING_SNAKE_CASE			  =matrix_addition(__snake_case	,__snake_case)
				_SCREAMING_SNAKE_CASE			  =matrix_addition(__snake_case	,__snake_case)
				_SCREAMING_SNAKE_CASE			  =matrix_subtraction(matrix_subtraction(matrix_addition(__snake_case	,__snake_case)	,__snake_case)	,__snake_case)

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







def 						lowerCamelCase(   a__	,a__):

				'''simple docstring'''





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

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

				_SCREAMING_SNAKE_CASE			  =max(*__snake_case	,*__snake_case)
				_SCREAMING_SNAKE_CASE			  =int(math.pow(2	,math.ceil(math.loga(__snake_case))))
				_SCREAMING_SNAKE_CASE			  =matrixa
				_SCREAMING_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	,__snake_case):
								if i < dimensiona[0]:
												for _ in range(dimensiona[1]	,__snake_case):
																new_matrixa[i].append(0)
								else:
												new_matrixa.append([0] * maxim)
								if i < dimensiona[0]:
												for _ in range(dimensiona[1]	,__snake_case):
																new_matrixa[i].append(0)
								else:
												new_matrixa.append([0] * maxim)

				_SCREAMING_SNAKE_CASE			  =actual_strassen(__snake_case	,__snake_case)

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


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



from datetime import datetime

import matplotlib.pyplot as plt
import torch







def 						lowerCamelCase(   a__):
				for param in module.parameters():
								_SCREAMING_SNAKE_CASE			  =False







def 						lowerCamelCase(   ):
				_SCREAMING_SNAKE_CASE			  ='''cuda''' if torch.cuda.is_available() else '''cpu'''
				if torch.backends.mps.is_available() and torch.backends.mps.is_built():
								_SCREAMING_SNAKE_CASE			  ='''mps'''
				if device == "mps":
								print(
								    '''WARNING: MPS currently doesn\'t seem to work, and messes up backpropagation without any visible torch'''
								    ''' errors. I recommend using CUDA on a colab notebook or CPU instead if you\'re facing inexplicable issues'''
								    ''' with generations.''')
				return device







def 						lowerCamelCase(   a__):
				_SCREAMING_SNAKE_CASE			  =plt.imshow(a__)
				fig.axes.get_xaxis().set_visible(a__)
				fig.axes.get_yaxis().set_visible(a__)
				plt.show()







def 						lowerCamelCase(   ):
				_SCREAMING_SNAKE_CASE			  =datetime.now()
				_SCREAMING_SNAKE_CASE			  =current_time.strftime('''%H:%M:%S''')
				return timestamp