






'''simple docstring'''





def      __lowercase					( snake_case ):







				"""simple docstring"""






				__magic_name__		:Optional[int]        =      len(snake_case )
				__magic_name__		:Tuple        =      len(matrix[0] )
				__magic_name__		:Optional[Any]        =      min(snake_case,  snake_case )

				for row in range(snake_case ):
								# Check if diagonal element is not zero
								if matrix[row][row] != 0:
												# Eliminate all the elements below the diagonal
												for col in range(row + 1,  snake_case ):
																__magic_name__		:Tuple        =      matrix[col][row] / matrix[row][row]
																for i in range(snake_case,  snake_case ):
																				matrix[col][i] -= multiplier * matrix[row][i]
								else:
												# Find a non-zero diagonal element to swap rows
												__magic_name__		:List[Any]        =      True
												for i in range(row + 1,  snake_case ):
																if matrix[i][row] != 0:
																				__magic_name__		:Optional[Any]        =      matrix[i], matrix[row]
																				__magic_name__		:Any        =      False
																				break
												if reduce:
																rank -= 1
																for i in range(snake_case ):
																				__magic_name__		:Tuple        =      matrix[i][rank]

            # Reduce the row pointer by one to stay on the same row
												row -= 1

				return rank


if __name__ == "__main__":
					import doctest

					doctest.testmod()














from typing import List

from .keymap import KEYMAP, get_character

def      __lowercase					( snake_case ):







				"""simple docstring"""






				def decorator(snake_case ):
								__magic_name__		:int        =      getattr(snake_case,  '''handle_key''',  [] )
								handle += [key]
								setattr(snake_case,  '''handle_key''',  snake_case )
								return func

				return decorator

def      __lowercase					( *snake_case ):







				"""simple docstring"""






				def decorator(snake_case ):
								__magic_name__		:Union[str, Any]        =      getattr(snake_case,  '''handle_key''',  [] )
								handle += keys
								setattr(snake_case,  '''handle_key''',  snake_case )
								return func

				return decorator
class 						lowerCamelCase_				(      lowerCamelCase ):







				def __new__(						cls       ,					__lowerCAmelCase       ,					__lowerCAmelCase       ,					__lowerCAmelCase     ):
								"""simple docstring"""
								__magic_name__		:Optional[int]        =      super().__new__(cls       ,					__lowerCAmelCase       ,					__lowerCAmelCase       ,					__lowerCAmelCase     )
								if not hasattr(__lowerCAmelCase       ,					'''key_handler'''     ):
												setattr(__lowerCAmelCase       ,					'''key_handler'''       ,					{}     )
								setattr(__lowerCAmelCase       ,					'''handle_input'''       ,					KeyHandler.handle_input     )

								for value in attrs.values():
												__magic_name__		:Dict        =      getattr(__lowerCAmelCase       ,					'''handle_key'''       ,					[]     )
												for key in handled_keys:
																__magic_name__		:List[Any]        =      value
								return new_cls







				@staticmethod
				def 			A	(						cls     ):
								"""simple docstring"""
								__magic_name__		:Tuple        =      get_character()
								if char != KEYMAP["undefined"]:
												__magic_name__		:Dict        =      ord(__lowerCAmelCase     )
								__magic_name__		:str        =      cls.key_handler.get(__lowerCAmelCase     )
								if handler:
												__magic_name__		:Optional[Any]        =      char
												return handler(cls     )
								else:
												return None







def      __lowercase					( cls ):







				"""simple docstring"""






				return KeyHandler(cls.__name__,  cls.__bases__,  cls.__dict__.copy() )






