
from __future__ import annotations

from decimal import Decimal

from numpy import array


def 						UpperCAmelCase      (     a_						)		->     list[list[float]]:







				"""simple docstring"""



				__A             =			Decimal

				# Check if the provided matrix has 2 rows and 2 columns
				# since this implementation only works for 2x2 matrices
				if len(a_						) == 2 and len(matrix[0]						) == 2 and len(matrix[1]						) == 2:
								# Calculate the determinant of the matrix
								__A             =			float(
								    d(matrix[0][0]						) * d(matrix[1][1]						) - d(matrix[1][0]						) * d(matrix[0][1]						)						)
								if determinant == 0:
												raise ValueError("This matrix has no inverse."						)

								# Creates a copy of the matrix with swapped positions of the elements
								__A             =			[[0.0, 0.0], [0.0, 0.0]]
								__A      ,							__A             =			matrix[1][1], matrix[0][0]
								__A      ,							__A             =			-matrix[1][0], -matrix[0][1]

								# Calculate the inverse of the matrix
								return [
								    [(float(d(a_						)						) / determinant) or 0.0 for n in row] for row in swapped_matrix
								]
				elif (
				    len(a_						) == 3
				    and len(matrix[0]						) == 3
				    and len(matrix[1]						) == 3
				    and len(matrix[2]						) == 3
				):
								# Calculate the determinant of the matrix using Sarrus rule
								__A             =			float(
								    (
								        (d(matrix[0][0]						) * d(matrix[1][1]						) * d(matrix[2][2]						))
								        + (d(matrix[0][1]						) * d(matrix[1][2]						) * d(matrix[2][0]						))
								        + (d(matrix[0][2]						) * d(matrix[1][0]						) * d(matrix[2][1]						))
								    )
								    - (
								        (d(matrix[0][2]						) * d(matrix[1][1]						) * d(matrix[2][0]						))
								        + (d(matrix[0][1]						) * d(matrix[1][0]						) * d(matrix[2][2]						))
								        + (d(matrix[0][0]						) * d(matrix[1][2]						) * d(matrix[2][1]						))
								    )						)
								if determinant == 0:
												raise ValueError("This matrix has no inverse."						)

								# Creating cofactor matrix
								__A             =			[
								    [d(0.0						), d(0.0						), d(0.0						)],
								    [d(0.0						), d(0.0						), d(0.0						)],
								    [d(0.0						), d(0.0						), d(0.0						)],
								]
								__A             =			(d(matrix[1][1]						) * d(matrix[2][2]						)) - (
								    d(matrix[1][2]						) * d(matrix[2][1]						)
								)
								__A             =			-(
								    (d(matrix[1][0]						) * d(matrix[2][2]						)) - (d(matrix[1][2]						) * d(matrix[2][0]						))
								)
								__A             =			(d(matrix[1][0]						) * d(matrix[2][1]						)) - (
								    d(matrix[1][1]						) * d(matrix[2][0]						)
								)
								__A             =			-(
								    (d(matrix[0][1]						) * d(matrix[2][2]						)) - (d(matrix[0][2]						) * d(matrix[2][1]						))
								)
								__A             =			(d(matrix[0][0]						) * d(matrix[2][2]						)) - (
								    d(matrix[0][2]						) * d(matrix[2][0]						)
								)
								__A             =			-(
								    (d(matrix[0][0]						) * d(matrix[2][1]						)) - (d(matrix[0][1]						) * d(matrix[2][0]						))
								)
								__A             =			(d(matrix[0][1]						) * d(matrix[1][2]						)) - (
								    d(matrix[0][2]						) * d(matrix[1][1]						)
								)
								__A             =			-(
								    (d(matrix[0][0]						) * d(matrix[1][2]						)) - (d(matrix[0][2]						) * d(matrix[1][0]						))
								)
								__A             =			(d(matrix[0][0]						) * d(matrix[1][1]						)) - (
								    d(matrix[0][1]						) * d(matrix[1][0]						)
								)

								# Transpose the cofactor matrix (Adjoint matrix)
								__A             =			array(a_						)
								for i in range(3						):
												for j in range(3						):
																__A             =			cofactor_matrix[j][i]

        # Inverse of the matrix using the formula (1/determinant) * adjoint matrix
								__A             =			array(a_						)
								for i in range(3						):
												for j in range(3						):
																inverse_matrix[i][j] /= d(a_						)

        # Calculate the inverse of the matrix
								return [[float(d(a_						)						) or 0.0 for n in row] for row in inverse_matrix]
				raise ValueError("Please provide a matrix of size 2x2 or 3x3."						)


import copy
import re





class 							UpperCAmelCase				:




	'''simple docstring'''





	snake_case_    =					"hp"
	snake_case_    =					{}
	snake_case_    =					None






	@classmethod
	def     UpperCamelCase_  (	cls :			Dict							,A :			Dict							,A :			Any			):
					__A             =			prefix
					__A             =			defaults
					cls.build_naming_info()






	@staticmethod
	def     UpperCamelCase_  (	A :			Dict							,A :			int			):
					if len(A			) == 0:
									return ""
					__A             =			None
					if any(char.isdigit() for char in word			):
									raise Exception(f'''Parameters should not contain numbers: \'{word}\' contains a number'''			)
					if word in info["short_word"]:
									return info["short_word"][word]
					for prefix_len in range(1							,len(A			) + 1			):
									__A             =			word[:prefix_len]
									if prefix in info["reverse_short_word"]:
													continue
									else:
													__A             =			prefix
													break

					if short_word is None:
									# Paranoid fallback
									def int_to_alphabetic(A :			str			):
													__A             =			""
													while integer != 0:
																	__A             =			chr(ord("A"			) + integer % 10			) + s
																	integer //= 10
													return s

									__A             =			0
									while True:
													__A             =			word + "#" + int_to_alphabetic(A			)
													if sword in info["reverse_short_word"]:
																	continue
													else:
																	__A             =			sword
																	break

					__A             =			short_word
					__A             =			word
					return short_word






	@staticmethod
	def     UpperCamelCase_  (	A :			int							,A :			Tuple			):
					__A             =			param_name.split("_"			)

					__A             =			[TrialShortNamer.shortname_for_word(A							,A			) for word in words]

					# We try to create a separatorless short name, but if there is a collision we have to fallback
					# to a separated short name
					__A             =			["", "_"]

					for separator in separators:
									__A             =			separator.join(A			)
									if shortname not in info["reverse_short_param"]:
													__A             =			shortname
													__A             =			param_name
													return shortname

					return param_name






	@staticmethod
	def     UpperCamelCase_  (	A :			Optional[Any]							,A :			Tuple			):
					__A             =			TrialShortNamer.shortname_for_key(A							,A			)
					__A             =			short_name
					__A             =			param_name






	@classmethod
	def     UpperCamelCase_  (	cls :			Dict			):
					if cls.NAMING_INFO is not None:
									return

					__A             =			{
					    "short_word": {},
					    "reverse_short_word": {},
					    "short_param": {},
					    "reverse_short_param": {},
					}

					__A             =			list(cls.DEFAULTS.keys()			)

					for k in field_keys:
									cls.add_new_param_name(A							,A			)

					__A             =			info






	@classmethod
	def     UpperCamelCase_  (	cls :			Dict							,A :			List[str]			):
					cls.build_naming_info()
					assert cls.PREFIX is not None
					__A             =			[copy.copy(cls.PREFIX			)]

					for k, v in params.items():
									if k not in cls.DEFAULTS:
													raise Exception(f'''You should provide a default value for the param name {k} with value {v}'''			)
									if v == cls.DEFAULTS[k]:
													# The default value is not added to the name
													continue

									__A             =			cls.NAMING_INFO["short_param"][k]

									if isinstance(A							,A			):
													__A             =			1 if v else 0

									__A             =			"" if isinstance(A							,(int, float)			) else "-"
									__A             =			f'''{key}{sep}{v}'''
									name.append(A			)

					return "_".join(A			)







	@classmethod
	def     UpperCamelCase_  (	cls :			Tuple							,A :			Tuple			):
					__A             =			repr[len(cls.PREFIX			) + 1 :]
					if repr == "":
									__A             =			[]
					else:
									__A             =			repr.split("_"			)

					__A             =			{}

					for value in values:
									if "-" in value:
													__A      ,							__A             =			value.split("-"			)
									else:
													__A             =			re.sub("[0-9.]"							,""							,A			)
													__A             =			float(re.sub("[^0-9.]"							,""							,A			)			)

									__A             =			cls.NAMING_INFO["reverse_short_param"][p_k]

									__A             =			p_v

					for k in cls.DEFAULTS:
									if k not in parameters:
													__A             =			cls.DEFAULTS[k]

					return parameters
