'''simple docstring'''







from __future__ import annotations

import math


def    lowerCamelCase       (			UpperCAmelCase__				:  list				,						UpperCAmelCase__				:  list		)			->	list:


							'''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'		)
							SCREAMING_SNAKE_CASE__     :Optional[int]						    = [
							    [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__				:  list				,						UpperCAmelCase__				:  list		)			->	List[str]:


							'''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__				:  list				,						UpperCAmelCase__				:  list		)			->	str:


							'''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__				:  list		)			->	tuple[list, list, list, list]:


							'''simple docstring'''






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

							SCREAMING_SNAKE_CASE__     :str						    = len(UpperCAmelCase__		)
							SCREAMING_SNAKE_CASE__     :Optional[Any]						    = matrix_length // 2

							SCREAMING_SNAKE_CASE__     :List[str]						    = [[a[i][j] for j in range(UpperCAmelCase__				,						UpperCAmelCase__		)] for i in range(UpperCAmelCase__		)]
							SCREAMING_SNAKE_CASE__     :Optional[Any]						    = [
							    [a[i][j] for j in range(UpperCAmelCase__				,						UpperCAmelCase__		)] for i in range(UpperCAmelCase__				,						UpperCAmelCase__		)
							]

							SCREAMING_SNAKE_CASE__     :Any						    = [[a[i][j] for j in range(UpperCAmelCase__		)] for i in range(UpperCAmelCase__		)]
							SCREAMING_SNAKE_CASE__     :str						    = [[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__				:  list		)			->	tuple[int, int]:


							'''simple docstring'''






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


def    lowerCamelCase       (			UpperCAmelCase__				:  list		)			->	None:


							'''simple docstring'''






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


def    lowerCamelCase       (			UpperCAmelCase__				:  list				,						UpperCAmelCase__				:  list		)			->	list:


							'''simple docstring'''






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

							SCREAMING_SNAKE_CASE__    ,      SCREAMING_SNAKE_CASE__    ,      SCREAMING_SNAKE_CASE__    ,      SCREAMING_SNAKE_CASE__     :List[str]						    = split_matrix(UpperCAmelCase__		)
							SCREAMING_SNAKE_CASE__    ,      SCREAMING_SNAKE_CASE__    ,      SCREAMING_SNAKE_CASE__    ,      SCREAMING_SNAKE_CASE__     :int						    = split_matrix(UpperCAmelCase__		)

							SCREAMING_SNAKE_CASE__     :Any						    = actual_strassen(UpperCAmelCase__				,						matrix_subtraction(UpperCAmelCase__				,						UpperCAmelCase__		)		)
							SCREAMING_SNAKE_CASE__     :int						    = actual_strassen(matrix_addition(UpperCAmelCase__				,						UpperCAmelCase__		)				,						UpperCAmelCase__		)
							SCREAMING_SNAKE_CASE__     :Any						    = actual_strassen(matrix_addition(UpperCAmelCase__				,						UpperCAmelCase__		)				,						UpperCAmelCase__		)
							SCREAMING_SNAKE_CASE__     :Dict						    = actual_strassen(UpperCAmelCase__				,						matrix_subtraction(UpperCAmelCase__				,						UpperCAmelCase__		)		)
							SCREAMING_SNAKE_CASE__     :List[str]						    = actual_strassen(matrix_addition(UpperCAmelCase__				,						UpperCAmelCase__		)				,						matrix_addition(UpperCAmelCase__				,						UpperCAmelCase__		)		)
							SCREAMING_SNAKE_CASE__     :Any						    = actual_strassen(matrix_subtraction(UpperCAmelCase__				,						UpperCAmelCase__		)				,						matrix_addition(UpperCAmelCase__				,						UpperCAmelCase__		)		)
							SCREAMING_SNAKE_CASE__     :Any						    = actual_strassen(matrix_subtraction(UpperCAmelCase__				,						UpperCAmelCase__		)				,						matrix_addition(UpperCAmelCase__				,						UpperCAmelCase__		)		)

							SCREAMING_SNAKE_CASE__     :Dict						    = matrix_addition(matrix_subtraction(matrix_addition(UpperCAmelCase__				,						UpperCAmelCase__		)				,						UpperCAmelCase__		)				,						UpperCAmelCase__		)
							SCREAMING_SNAKE_CASE__     :int						    = matrix_addition(UpperCAmelCase__				,						UpperCAmelCase__		)
							SCREAMING_SNAKE_CASE__     :List[Any]						    = matrix_addition(UpperCAmelCase__				,						UpperCAmelCase__		)
							SCREAMING_SNAKE_CASE__     :Tuple						    = matrix_subtraction(matrix_subtraction(matrix_addition(UpperCAmelCase__				,						UpperCAmelCase__		)				,						UpperCAmelCase__		)				,						UpperCAmelCase__		)

							# construct the new matrix from our 4 quadrants
							SCREAMING_SNAKE_CASE__     :Optional[int]						    = []
							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__				:  list				,						UpperCAmelCase__				:  list		)			->	list:


							'''simple docstring'''






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

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

							SCREAMING_SNAKE_CASE__     :Any						    = max(*UpperCAmelCase__				,						*UpperCAmelCase__		)
							SCREAMING_SNAKE_CASE__     :List[str]						    = int(math.pow(2				,						math.ceil(math.loga(UpperCAmelCase__		)		)		)		)
							SCREAMING_SNAKE_CASE__     :Optional[int]						    = matrixa
							SCREAMING_SNAKE_CASE__     :Optional[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				,						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		)

							SCREAMING_SNAKE_CASE__     :int						    = 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'''







from ...configuration_utils import PretrainedConfig
from ...utils import logging


UpperCamelCase_      	=	logging.get_logger(__name__)

UpperCamelCase_      	=	{
    '''EleutherAI/gpt-neox-20b''': '''https://huggingface.co/EleutherAI/gpt-neox-20b/resolve/main/config.json''',
    # See all GPTNeoX models at https://huggingface.co/models?filter=gpt_neox
}




class _SCREAMING_SNAKE_CASE(							_SCREAMING_SNAKE_CASE					):
						A_			:							Union[str, Any]     		= 'gpt_neox'




						def __init__(    self :       List[str]							,							UpperCamelCase_ :       int=5_04_32							,							UpperCamelCase_ :       Dict=61_44							,							UpperCamelCase_ :       int=44							,							UpperCamelCase_ :       Any=64							,							UpperCamelCase_ :       Optional[int]=2_45_76							,							UpperCamelCase_ :       str="gelu"							,							UpperCamelCase_ :       Tuple=0.25							,							UpperCamelCase_ :       Tuple=1_00_00							,							UpperCamelCase_ :       Tuple=0.0							,							UpperCamelCase_ :       Optional[int]=0.0							,							UpperCamelCase_ :       str=0.1							,							UpperCamelCase_ :       List[Any]=20_48							,							UpperCamelCase_ :       List[str]=0.02							,							UpperCamelCase_ :       Optional[int]=1e-5							,							UpperCamelCase_ :       List[str]=True							,							UpperCamelCase_ :       Optional[Any]=0							,							UpperCamelCase_ :       str=2							,							UpperCamelCase_ :       str=False							,							UpperCamelCase_ :       Union[str, Any]=True							,							UpperCamelCase_ :       Tuple=None							,							**UpperCamelCase_ :       Any							,							)     ->				int:
													super().__init__(bos_token_id=UpperCamelCase_							,							eos_token_id=UpperCamelCase_							,							**UpperCamelCase_      )
													SCREAMING_SNAKE_CASE__     :int						    = vocab_size
													SCREAMING_SNAKE_CASE__     :Optional[Any]						    = max_position_embeddings
													SCREAMING_SNAKE_CASE__     :List[Any]						    = hidden_size
													SCREAMING_SNAKE_CASE__     :Optional[int]						    = num_hidden_layers
													SCREAMING_SNAKE_CASE__     :Dict						    = num_attention_heads
													SCREAMING_SNAKE_CASE__     :Optional[Any]						    = intermediate_size
													SCREAMING_SNAKE_CASE__     :Dict						    = hidden_act
													SCREAMING_SNAKE_CASE__     :Optional[Any]						    = rotary_pct
													SCREAMING_SNAKE_CASE__     :Any						    = rotary_emb_base
													SCREAMING_SNAKE_CASE__     :Dict						    = attention_dropout
													SCREAMING_SNAKE_CASE__     :Tuple						    = hidden_dropout
													SCREAMING_SNAKE_CASE__     :Optional[Any]						    = classifier_dropout
													SCREAMING_SNAKE_CASE__     :Dict						    = initializer_range
													SCREAMING_SNAKE_CASE__     :List[str]						    = layer_norm_eps
													SCREAMING_SNAKE_CASE__     :Optional[Any]						    = use_cache
													SCREAMING_SNAKE_CASE__     :Any						    = tie_word_embeddings
													SCREAMING_SNAKE_CASE__     :List[str]						    = use_parallel_residual
													SCREAMING_SNAKE_CASE__     :int						    = rope_scaling
													self._rope_scaling_validation()

													if self.hidden_size % self.num_attention_heads != 0:
																				raise ValueError(
																				    'The hidden size is not divisble by the number of attention heads! Make sure to update them!'      )




						def      __lowerCamelCase       (    self :       Optional[Any]      )     ->				Union[str, Any]:
													if self.rope_scaling is None:
																				return

													if not isinstance(self.rope_scaling							,							UpperCamelCase_      ) or len(self.rope_scaling      ) != 2:
																				raise ValueError(
																				    '`rope_scaling` must be a dictionary with with two fields, `name` and `factor`, '
																				    f'''got {self.rope_scaling}'''      )
													SCREAMING_SNAKE_CASE__     :Optional[int]						    = self.rope_scaling.get('type'							,							UpperCamelCase_      )
													SCREAMING_SNAKE_CASE__     :Optional[Any]						    = self.rope_scaling.get('factor'							,							UpperCamelCase_      )
													if rope_scaling_type is None or rope_scaling_type not in ["linear", "dynamic"]:
																				raise ValueError(
																				    f'''`rope_scaling`\'s name field must be one of [\'linear\', \'dynamic\'], got {rope_scaling_type}'''      )
													if rope_scaling_factor is None or not isinstance(UpperCamelCase_							,							UpperCamelCase_      ) or rope_scaling_factor <= 1.0:
																				raise ValueError(f'''`rope_scaling`\'s factor field must be an float > 1, got {rope_scaling_factor}'''      )






