


'''simple docstring'''


from __future__ import annotations

from typing import TypedDict





class     lowercase__  (						_snake_case					):





							'''simple docstring'''


							A_							:      str
							A_							:      int







def 			snake_case_   (  SCREAMING_SNAKE_CASE__     ):







				"""simple docstring"""





				if not isinstance(SCREAMING_SNAKE_CASE__							,      SCREAMING_SNAKE_CASE__     ):
								raise TypeError("""The parameter s type must be str."""     )

				return [s[i:] + s[:i] for i in range(len(SCREAMING_SNAKE_CASE__     )     )]







def 			snake_case_   (  SCREAMING_SNAKE_CASE__     ):







				"""simple docstring"""





				if not isinstance(SCREAMING_SNAKE_CASE__							,      SCREAMING_SNAKE_CASE__     ):
								raise TypeError("""The parameter s type must be str."""     )
				if not s:
								raise ValueError("""The parameter s must not be empty."""     )

				_SCREAMING_SNAKE_CASE :       Dict     		=      all_rotations(SCREAMING_SNAKE_CASE__     )
				rotations.sort()  # sort the list of rotations in alphabetically order
				# make a string composed of the last char of each rotation
				_SCREAMING_SNAKE_CASE :       BWTTransformDict     		=      {
				    "bwt_string": "".join([word[-1] for word in rotations]     ),
				    "idx_original_string": rotations.index(SCREAMING_SNAKE_CASE__     ),
				}
				return response







def 			snake_case_   (  SCREAMING_SNAKE_CASE__							,      SCREAMING_SNAKE_CASE__     ):







				"""simple docstring"""





				if not isinstance(SCREAMING_SNAKE_CASE__							,      SCREAMING_SNAKE_CASE__     ):
								raise TypeError("""The parameter bwt_string type must be str."""     )
				if not bwt_string:
								raise ValueError("""The parameter bwt_string must not be empty."""     )
				try:
								_SCREAMING_SNAKE_CASE :       List[str]     		=      int(SCREAMING_SNAKE_CASE__     )
				except ValueError:
								raise TypeError(
								    """The parameter idx_original_string type must be int or passive"""
								    """ of cast to int."""     )
				if idx_original_string < 0:
								raise ValueError("""The parameter idx_original_string must not be lower than 0."""     )
				if idx_original_string >= len(SCREAMING_SNAKE_CASE__     ):
								raise ValueError(
								    """The parameter idx_original_string must be lower than""" """ len(bwt_string)."""     )

				_SCREAMING_SNAKE_CASE :       Union[str, Any]     		=      [""""""] * len(SCREAMING_SNAKE_CASE__     )
				for _ in range(len(SCREAMING_SNAKE_CASE__     )     ):
								for i in range(len(SCREAMING_SNAKE_CASE__     )     ):
												_SCREAMING_SNAKE_CASE :       Union[str, Any]     		=      bwt_string[i] + ordered_rotations[i]
								ordered_rotations.sort()
				return ordered_rotations[idx_original_string]


if __name__ == "__main__":
				UpperCAmelCase_		:   Any							   =		'Provide a string that I will generate its BWT transform: '
				UpperCAmelCase_		:   Optional[int]							   =		input(entry_msg).strip()
				UpperCAmelCase_		:   str							   =		bwt_transform(s)
				print(
				    F"Burrows Wheeler transform for string '{s}' results "
				    F"in '{result['bwt_string']}'"
				)
				UpperCAmelCase_		:   Optional[int]							   =		reverse_bwt(result['bwt_string'], result['idx_original_string'])
				print(
				    F"Reversing Burrows Wheeler transform for entry '{result['bwt_string']}' "
				    F"we get original string '{original_string}'"
				)








'''simple docstring'''


def 			snake_case_   (  SCREAMING_SNAKE_CASE__     ):







				"""simple docstring"""





				_SCREAMING_SNAKE_CASE :       str     		=      0
				for ch in input_str:
								_SCREAMING_SNAKE_CASE :       Optional[Any]     		=      ord(SCREAMING_SNAKE_CASE__     )
								_SCREAMING_SNAKE_CASE :       Union[str, Any]     		=      pow(2							,      SCREAMING_SNAKE_CASE__     )

								# If we already turned on bit for current character's unicode
								if bitmap >> ch_unicode & 1 == 1:
												return False
								bitmap |= ch_bit_index_on
				return True


if __name__ == "__main__":
				import doctest

				doctest.testmod()




