


def 		snake_case_   (				lowercase__     :    Union[str, Any]       ,     lowercase__     :    Optional[int]       ,     lowercase__     :    str       ,     lowercase__     :    Optional[int]     ):






				'''simple docstring'''






				return len_board * len_board_column * row + column

def 		snake_case_   (				lowercase__     :    int       ,     lowercase__     :    Union[str, Any]       ,     lowercase__     :    Dict       ,     lowercase__     :    int       ,     lowercase__     :    Any       ,     lowercase__     :    Union[str, Any]       ,     ):






				'''simple docstring'''






				if board[row][column] != word[word_index]:
								return False

				if word_index == len(lowercase__     ) - 1:
								return True

				_lowerCAmelCase  						=[(0, 1), (0, -1), (-1, 0), (1, 0)]
				_lowerCAmelCase  						=len(lowercase__     )
				_lowerCAmelCase  						=len(board[0]     )
				for direction in traverts_directions:
								_lowerCAmelCase  						=row + direction[0]
								_lowerCAmelCase  						=column + direction[1]
								if not (0 <= next_i < len_board and 0 <= next_j < len_board_column):
												continue

								_lowerCAmelCase  						=get_point_key(lowercase__       ,     lowercase__       ,     lowercase__       ,     lowercase__     )
								if key in visited_points_set:
												continue

								visited_points_set.add(lowercase__     )
								if exits_word(lowercase__       ,     lowercase__       ,     lowercase__       ,     lowercase__       ,     word_index + 1       ,     lowercase__     ):
												return True

								visited_points_set.remove(lowercase__     )

				return False

def 		snake_case_   (				lowercase__     :    Optional[int]       ,     lowercase__     :    List[str]     ):






				'''simple docstring'''






				_lowerCAmelCase  						=(
				    """The board should be a non empty matrix of single chars strings."""
				)

				_lowerCAmelCase  						=len(lowercase__     )
				if not isinstance(lowercase__       ,     lowercase__     ) or len(lowercase__     ) == 0:
								raise ValueError(lowercase__     )

				for row in board:
								if not isinstance(lowercase__       ,     lowercase__     ) or len(lowercase__     ) == 0:
												raise ValueError(lowercase__     )

								for item in row:
												if not isinstance(lowercase__       ,     lowercase__     ) or len(lowercase__     ) != 1:
																raise ValueError(lowercase__     )

    # Validate word
				if not isinstance(lowercase__       ,     lowercase__     ) or len(lowercase__     ) == 0:
								raise ValueError(
								    """The word parameter should be a string of length greater than 0."""     )

				_lowerCAmelCase  						=len(board[0]     )
				for i in range(lowercase__     ):
								for j in range(lowercase__     ):
												if exits_word(
												    lowercase__       ,     lowercase__       ,     lowercase__       ,     lowercase__       ,     0       ,     {get_point_key(lowercase__       ,     lowercase__       ,     lowercase__       ,     lowercase__     )}     ):
																return True

				return False


if __name__ == "__main__":
		import doctest

		doctest.testmod()



def  A			(   lowercase					)  ->    str:
		'''simple docstring'''

		if not isinstance(lowercase       ,			lowercase					):
				UpperCamelCase            =	(
				    'operation can not be conducted on a object of type '
				    f'''{type(lowercase					).__name__}'''
				)
				raise TypeError(lowercase					)
		UpperCamelCase            =	''
		for _ in range(0       ,			32					):
				bit_string += str(number % 2					)
				UpperCamelCase            =	number >> 1
		return bit_string


def  A			(   lowercase					)  ->    str:
		'''simple docstring'''

		if number < 0:
				raise ValueError('the value of input must be positive'					)
		elif isinstance(lowercase       ,			lowercase					):
				raise TypeError('Input value must be a \'int\' type'					)
		elif isinstance(lowercase       ,			lowercase					):
				raise TypeError('\'<\' not supported between instances of \'str\' and \'int\''					)
		UpperCamelCase            =	0
		# iterator over [1 to 32],since we are dealing with 32 bit integer
		for _ in range(1       ,			33					):
				# left shift the bits by unity
				UpperCamelCase            =	result << 1
				# get the end bit
				UpperCamelCase            =	number % 2
				# right shift the bits by unity
				UpperCamelCase            =	number >> 1
				# add that bit to our ans
				UpperCamelCase            =	result | end_bit
		return get_reverse_bit_string(lowercase					)


if __name__ == "__main__":
					import doctest

					doctest.testmod()
