


from __future__ import annotations

import math


def       _snake_case     (  A				,					A )		->					List[str]:






							if len(UpperCamelCase__ ) != 2 or len(a[0] ) != 2 or len(UpperCamelCase__ ) != 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       _snake_case     (  A				,					A )		->					Optional[int]:
							return [
							    [matrix_a[row][col] + matrix_b[row][col] for col in range(len(matrix_a[row] ) )]
							    for row in range(len(UpperCamelCase__ ) )
							]


def       _snake_case     (  A				,					A )		->					List[str]:
							return [
							    [matrix_a[row][col] - matrix_b[row][col] for col in range(len(matrix_a[row] ) )]
							    for row in range(len(UpperCamelCase__ ) )
							]


def       _snake_case     (  A )		->					Union[str, Any]:






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

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

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

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

							return top_left, top_right, bot_left, bot_right


def       _snake_case     (  A )		->					Optional[Any]:
							return len(UpperCamelCase__ ), len(matrix[0] )


def       _snake_case     (  A )		->					Optional[int]:
							print('''\n'''.join(str(UpperCamelCase__ ) for line in matrix ) )


def       _snake_case     (  A				,					A )		->					List[str]:






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

							lowerCAmelCase__     ,      lowerCAmelCase__     ,      lowerCAmelCase__     ,      lowerCAmelCase__      =			split_matrix(UpperCamelCase__ )
							lowerCAmelCase__     ,      lowerCAmelCase__     ,      lowerCAmelCase__     ,      lowerCAmelCase__      =			split_matrix(UpperCamelCase__ )

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

							lowerCAmelCase__      =			matrix_addition(matrix_subtraction(matrix_addition(UpperCamelCase__				,					UpperCamelCase__ )				,					UpperCamelCase__ )				,					UpperCamelCase__ )
							lowerCAmelCase__      =			matrix_addition(UpperCamelCase__				,					UpperCamelCase__ )
							lowerCAmelCase__      =			matrix_addition(UpperCamelCase__				,					UpperCamelCase__ )
							lowerCAmelCase__      =			matrix_subtraction(matrix_subtraction(matrix_addition(UpperCamelCase__				,					UpperCamelCase__ )				,					UpperCamelCase__ )				,					UpperCamelCase__ )

							# construct the new matrix from our 4 quadrants
							lowerCAmelCase__      =			[]
							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       _snake_case     (  A				,					A )		->					List[Any]:






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

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

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

							lowerCAmelCase__      =			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					       =							[
		    [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					       =							[[0, 2, 1, 1], [16, 2, 3, 3], [2, 2, 7, 7], [13, 11, 22, 4]]
		print(strassen(matrixa, matrixa))



'''simple docstring'''






import jax.numpy as jnp

from ...utils import logging
from ..ta.modeling_flax_ta import FlaxTaEncoderModel, FlaxTaForConditionalGeneration, FlaxTaModel
from .configuration_mta import MTaConfig


__UpperCAmelCase					       =							logging.get_logger(__name__)

__UpperCAmelCase					       =							'''T5Config'''


def       _snake_case     (  A				,					A				,					A )		->					jnp.ndarray:
							lowerCAmelCase__      =			jnp.zeros_like(A )
							lowerCAmelCase__      =			shifted_input_ids.at[:, 1:].set(input_ids[:, :-1] )
							lowerCAmelCase__      =			shifted_input_ids.at[:, 0].set(A )

							lowerCAmelCase__      =			jnp.where(shifted_input_ids == -100				,					A				,					A )
							return shifted_input_ids




class 	a__       (							a__						):





							'''simple docstring'''






							lowercase__    :     int					=   "mt5"
							lowercase__    :     Dict					=   MTaConfig




class 	a__       (							a__						):





							'''simple docstring'''






							lowercase__    :     int					=   "mt5"
							lowercase__    :     Any					=   MTaConfig




class 	a__       (							a__						):





							'''simple docstring'''






							lowercase__    :     Union[str, Any]					=   "mt5"
							lowercase__    :     Tuple					=   MTaConfig