
'''simple docstring'''

from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload






class  A  :





	def __init__(       self      :							Dict   ,				__magic_name__      :							Collection[float] | None = None				):


				"""simple docstring"""

				if components is None:
							lowerCAmelCase__										=				[]
				lowerCAmelCase__										=				list(__magic_name__				)





	def __len__(       self      :							Optional[Any]				):


				"""simple docstring"""

				return len(self.__components				)





	def __str__(       self      :							Optional[Any]				):


				"""simple docstring"""

				return "(" + ",".join(map(__magic_name__   ,				self.__components				)				) + ")"





	def __add__(       self      :							Dict   ,				__magic_name__      :							Vector				):


				"""simple docstring"""

				lowerCAmelCase__										=				len(self				)
				if size == len(__magic_name__				):
							lowerCAmelCase__										=				[self.__components[i] + other.component(__magic_name__				) for i in range(__magic_name__				)]
							return Vector(__magic_name__				)
				else:
							raise Exception("must have the same size"				)





	def __sub__(       self      :							Tuple   ,				__magic_name__      :							Vector				):


				"""simple docstring"""

				lowerCAmelCase__										=				len(self				)
				if size == len(__magic_name__				):
							lowerCAmelCase__										=				[self.__components[i] - other.component(__magic_name__				) for i in range(__magic_name__				)]
							return Vector(__magic_name__				)
				else:  # error case
							raise Exception("must have the same size"				)





	@overload
	def __mul__(       self      :							Optional[Any]   ,				__magic_name__      :							float				):


				"""simple docstring"""

				...





	@overload
	def __mul__(       self      :							Union[str, Any]   ,				__magic_name__      :							Vector				):


				"""simple docstring"""

				...





	def __mul__(       self      :							Union[str, Any]   ,				__magic_name__      :							float | Vector				):


				"""simple docstring"""

				if isinstance(__magic_name__   ,				(float, int)				):
							lowerCAmelCase__										=				[c * other for c in self.__components]
							return Vector(__magic_name__				)
				elif isinstance(__magic_name__   ,				__magic_name__				) and len(self				) == len(__magic_name__				):
							lowerCAmelCase__										=				len(self				)
							lowerCAmelCase__										=				[self.__components[i] * other.component(__magic_name__				) for i in range(__magic_name__				)]
							return sum(__magic_name__				)
				else:  # error case
							raise Exception("invalid operand!"				)





	def 				__SCREAMING_SNAKE_CASE	(       self      :							Optional[int]				):


				"""simple docstring"""

				return Vector(self.__components				)





	def 				__SCREAMING_SNAKE_CASE	(       self      :							Dict   ,				__magic_name__      :							int				):


				"""simple docstring"""

				if isinstance(__magic_name__   ,				__magic_name__				) and -len(self.__components				) <= i < len(self.__components				):
							return self.__components[i]
				else:
							raise Exception("index out of range"				)





	def 				__SCREAMING_SNAKE_CASE	(       self      :							int   ,				__magic_name__      :							int   ,				__magic_name__      :							float				):


				"""simple docstring"""

				assert -len(self.__components				) <= pos < len(self.__components				)
				lowerCAmelCase__										=				value





	def 				__SCREAMING_SNAKE_CASE	(       self      :							Union[str, Any]				):


				"""simple docstring"""

				if len(self.__components				) == 0:
							raise Exception("Vector is empty"				)
				lowerCAmelCase__										=				[c**2 for c in self.__components]
				return math.sqrt(sum(__magic_name__				)				)







	def 				__SCREAMING_SNAKE_CASE	(       self      :							List[Any]   ,				__magic_name__      :							Vector   ,				__magic_name__      :							bool = False				):


				"""simple docstring"""

				lowerCAmelCase__										=				self * other
				lowerCAmelCase__										=				self.euclidean_length() * other.euclidean_length()
				if deg:
							return math.degrees(math.acos(num / den				)				)
				else:
							return math.acos(num / den				)







def 	A  (   UpperCamelCase_       :  int   )       ->							Vector:







			'''simple docstring'''



			assert isinstance(UpperCamelCase_    ,						UpperCamelCase_   )
			return Vector([0] * dimension   )







def 	A  (   UpperCamelCase_       :  int    ,						UpperCamelCase_       :  int   )       ->							Vector:







			'''simple docstring'''



			assert isinstance(UpperCamelCase_    ,						UpperCamelCase_   ) and (isinstance(UpperCamelCase_    ,						UpperCamelCase_   ))
			lowerCAmelCase__										=				[0] * dimension
			lowerCAmelCase__										=				1
			return Vector(UpperCamelCase_   )







def 	A  (   UpperCamelCase_       :  float    ,						UpperCamelCase_       :  Vector    ,						UpperCamelCase_       :  Vector   )       ->							Vector:







			'''simple docstring'''



			assert (
			    isinstance(UpperCamelCase_    ,						UpperCamelCase_   )
			    and isinstance(UpperCamelCase_    ,						UpperCamelCase_   )
			    and (isinstance(UpperCamelCase_    ,						(int, float)   ))
			)
			return x * scalar + y







def 	A  (   UpperCamelCase_       :  int    ,						UpperCamelCase_       :  int    ,						UpperCamelCase_       :  int   )       ->							Vector:







			'''simple docstring'''



			random.seed(UpperCamelCase_   )
			lowerCAmelCase__										=				[random.randint(UpperCamelCase_    ,						UpperCamelCase_   ) for _ in range(UpperCamelCase_   )]
			return Vector(UpperCamelCase_   )






class  A  :





	def __init__(       self      :							Dict   ,				__magic_name__      :							list[list[float]]   ,				__magic_name__      :							int   ,				__magic_name__      :							int				):


				"""simple docstring"""

				lowerCAmelCase__										=				matrix
				lowerCAmelCase__										=				w
				lowerCAmelCase__										=				h





	def __str__(       self      :							str				):


				"""simple docstring"""

				lowerCAmelCase__										=				""
				for i in range(self.__height				):
							ans += "|"
							for j in range(self.__width				):
										if j < self.__width - 1:
													ans += str(self.__matrix[i][j]				) + ","
										else:
													ans += str(self.__matrix[i][j]				) + "|\n"
				return ans





	def __add__(       self      :							int   ,				__magic_name__      :							Matrix				):


				"""simple docstring"""

				if self.__width == other.width() and self.__height == other.height():
							lowerCAmelCase__										=				[]
							for i in range(self.__height				):
										lowerCAmelCase__										=				[
										    self.__matrix[i][j] + other.component(__magic_name__   ,				__magic_name__				)
										    for j in range(self.__width				)
										]
										matrix.append(__magic_name__				)
							return Matrix(__magic_name__   ,				self.__width   ,				self.__height				)
				else:
							raise Exception("matrix must have the same dimension!"				)





	def __sub__(       self      :							Dict   ,				__magic_name__      :							Matrix				):


				"""simple docstring"""

				if self.__width == other.width() and self.__height == other.height():
							lowerCAmelCase__										=				[]
							for i in range(self.__height				):
										lowerCAmelCase__										=				[
										    self.__matrix[i][j] - other.component(__magic_name__   ,				__magic_name__				)
										    for j in range(self.__width				)
										]
										matrix.append(__magic_name__				)
							return Matrix(__magic_name__   ,				self.__width   ,				self.__height				)
				else:
							raise Exception("matrices must have the same dimension!"				)





	@overload
	def __mul__(       self      :							Optional[Any]   ,				__magic_name__      :							float				):


				"""simple docstring"""

				...





	@overload
	def __mul__(       self      :							Optional[Any]   ,				__magic_name__      :							Vector				):


				"""simple docstring"""

				...





	def __mul__(       self      :							Optional[int]   ,				__magic_name__      :							float | Vector				):


				"""simple docstring"""

				if isinstance(__magic_name__   ,				__magic_name__				):  # matrix-vector
							if len(__magic_name__				) == self.__width:
										lowerCAmelCase__										=				zero_vector(self.__height				)
										for i in range(self.__height				):
													lowerCAmelCase__										=				[
													    self.__matrix[i][j] * other.component(__magic_name__				)
													    for j in range(self.__width				)
													]
													ans.change_component(__magic_name__   ,				sum(__magic_name__				)				)
										return ans
							else:
										raise Exception(
										    "vector must have the same size as the "
										    "number of columns of the matrix!"				)
				elif isinstance(__magic_name__   ,				(int, float)				):  # matrix-scalar
							lowerCAmelCase__										=				[
							    [self.__matrix[i][j] * other for j in range(self.__width				)]
							    for i in range(self.__height				)
							]
							return Matrix(__magic_name__   ,				self.__width   ,				self.__height				)
				return None





	def 				__SCREAMING_SNAKE_CASE	(       self      :							int				):


				"""simple docstring"""

				return self.__height





	def 				__SCREAMING_SNAKE_CASE	(       self      :							Any				):


				"""simple docstring"""

				return self.__width





	def 				__SCREAMING_SNAKE_CASE	(       self      :							Optional[int]   ,				__magic_name__      :							int   ,				__magic_name__      :							int				):


				"""simple docstring"""

				if 0 <= x < self.__height and 0 <= y < self.__width:
							return self.__matrix[x][y]
				else:
							raise Exception("change_component: indices out of bounds"				)





	def 				__SCREAMING_SNAKE_CASE	(       self      :							Dict   ,				__magic_name__      :							int   ,				__magic_name__      :							int   ,				__magic_name__      :							float				):


				"""simple docstring"""

				if 0 <= x < self.__height and 0 <= y < self.__width:
							lowerCAmelCase__										=				value
				else:
							raise Exception("change_component: indices out of bounds"				)





	def 				__SCREAMING_SNAKE_CASE	(       self      :							Dict   ,				__magic_name__      :							int   ,				__magic_name__      :							int				):


				"""simple docstring"""

				if self.__height != self.__width:
							raise Exception("Matrix is not square"				)
				lowerCAmelCase__										=				self.__matrix[:x] + self.__matrix[x + 1 :]
				for i in range(len(__magic_name__				)				):
							lowerCAmelCase__										=				minor[i][:y] + minor[i][y + 1 :]
				return Matrix(__magic_name__   ,				self.__width - 1   ,				self.__height - 1				).determinant()





	def 				__SCREAMING_SNAKE_CASE	(       self      :							Any   ,				__magic_name__      :							int   ,				__magic_name__      :							int				):


				"""simple docstring"""

				if self.__height != self.__width:
							raise Exception("Matrix is not square"				)
				if 0 <= x < self.__height and 0 <= y < self.__width:
							return (-1) ** (x + y) * self.minor(__magic_name__   ,				__magic_name__				)
				else:
							raise Exception("Indices out of bounds"				)







	def 				__SCREAMING_SNAKE_CASE	(       self      :							Optional[Any]				):


				"""simple docstring"""

				if self.__height != self.__width:
							raise Exception("Matrix is not square"				)
				if self.__height < 1:
							raise Exception("Matrix has no element"				)
				elif self.__height == 1:
							return self.__matrix[0][0]
				elif self.__height == 2:
							return (
							    self.__matrix[0][0] * self.__matrix[1][1]
							    - self.__matrix[0][1] * self.__matrix[1][0]
							)
				else:
							lowerCAmelCase__										=				[
							    self.__matrix[0][y] * self.cofactor(0   ,				__magic_name__				) for y in range(self.__width				)
							]
							return sum(__magic_name__				)







def 	A  (   UpperCamelCase_       :  int   )       ->							Matrix:







			'''simple docstring'''



			lowerCAmelCase__										=				[[0] * n for _ in range(UpperCamelCase_   )]
			return Matrix(UpperCamelCase_    ,						UpperCamelCase_    ,						UpperCamelCase_   )







def 	A  (   UpperCamelCase_       :  int    ,						UpperCamelCase_       :  int    ,						UpperCamelCase_       :  int    ,						UpperCamelCase_       :  int   )       ->							Matrix:







			'''simple docstring'''



			random.seed(UpperCamelCase_   )
			lowerCAmelCase__										=				[
			    [random.randint(UpperCamelCase_    ,						UpperCamelCase_   ) for _ in range(UpperCamelCase_   )] for _ in range(UpperCamelCase_   )
			]
			return Matrix(UpperCamelCase_    ,						UpperCamelCase_    ,						UpperCamelCase_   )







"""simple docstring"""





import argparse
import os
import re


UpperCamelCase_       :    Any						      =			'''src/transformers/models/auto'''


# re pattern that matches mapping introductions:
#    SUPER_MODEL_MAPPING_NAMES = OrderedDict or SUPER_MODEL_MAPPING = OrderedDict
UpperCamelCase_       :    Optional[int]						      =			re.compile(R'''[A-Z_]+_MAPPING(\s+|_[A-Z_]+\s+)=\s+OrderedDict''')
# re pattern that matches identifiers in mappings
UpperCamelCase_       :    Tuple						      =			re.compile(R'''\s*\(\s*"(\S[^"]+)"''')
def 				A_  (__a					, __a = False					):

					'''simple docstring'''





					with open(__a					, "r"					, encoding="utf-8"					) as f:
										A_								=    f.read()

					A_								=    content.split("\n"					)
					A_								=    []
					A_								=    0
					while line_idx < len(__a					):
										if _re_intro_mapping.search(lines[line_idx]					) is not None:
															A_								=    len(re.search(R"^(\s*)\S"					, lines[line_idx]					).groups()[0]					) + 8
															# Start of a new mapping!
															while not lines[line_idx].startswith(" " * indent + "("					):
																				new_lines.append(lines[line_idx]					)
																				line_idx += 1

															A_								=    []
															while lines[line_idx].strip() != "]":
																				# Blocks either fit in one line or not
																				if lines[line_idx].strip() == "(":
																									A_								=    line_idx
																									while not lines[line_idx].startswith(" " * indent + ")"					):
																														line_idx += 1
																									blocks.append("\n".join(lines[start_idx : line_idx + 1]					)					)
																				else:
																									blocks.append(lines[line_idx]					)
																				line_idx += 1

															# Sort blocks by their identifiers
															A_								=    sorted(__a					, key=lambda __a					: _re_identifier.search(__a					).groups()[0]					)
															new_lines += blocks
										else:
															new_lines.append(lines[line_idx]					)
															line_idx += 1

					if overwrite:
										with open(__a					, "w"					, encoding="utf-8"					) as f:
															f.write("\n".join(__a					)					)
					elif "\n".join(__a					) != content:
										return True
def 				A_  (__a = False					):

					'''simple docstring'''





					A_								=    [os.path.join(__a					, __a					) for f in os.listdir(__a					) if f.endswith(".py"					)]
					A_								=    [sort_auto_mapping(__a					, overwrite=__a					) for fname in fnames]

					if not overwrite and any(__a					):
										A_								=    [f for f, d in zip(__a					, __a					) if d]
										raise ValueError(
										    f'The following files have auto mappings that need sorting: {", ".join(__a					)}. Run `make style` to fix'
										    " this."					)


if __name__ == "__main__":
		UpperCamelCase_       :    str						      =			argparse.ArgumentParser()
		parser.add_argument('''--check_only''', action='''store_true''', help='''Whether to only check or fix style.''')
		UpperCamelCase_       :    List[Any]						      =			parser.parse_args()

		sort_all_auto_mappings(not args.check_only)




