


from __future__ import annotations

from typing import TypedDict






class     UpperCAmelCase__       (					A_		):



    """simple docstring"""






    UpperCAmelCase__						:		str
    UpperCAmelCase__						:		int

def 						_UpperCAmelCase				(			SCREAMING_SNAKE_CASE__			:					str				):
     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 						_UpperCAmelCase				(			SCREAMING_SNAKE_CASE__			:					str				):
     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.'				)

     __UpperCamelCase    							=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
     __UpperCamelCase    							={
         "bwt_string": "".join([word[-1] for word in rotations]				),
         "idx_original_string": rotations.index(SCREAMING_SNAKE_CASE__				),
     }
     return response

def 						_UpperCAmelCase				(			SCREAMING_SNAKE_CASE__			:					str			,     SCREAMING_SNAKE_CASE__			:					int				):
     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:
          __UpperCamelCase    							=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).'				)

     __UpperCamelCase    							=[''] * len(SCREAMING_SNAKE_CASE__				)
     for _ in range(len(SCREAMING_SNAKE_CASE__				)				):
          for i in range(len(SCREAMING_SNAKE_CASE__				)				):
               __UpperCamelCase    							=bwt_string[i] + ordered_rotations[i]
          ordered_rotations.sort()
     return ordered_rotations[idx_original_string]


if __name__ == "__main__":
   _A		       =						'Provide a string that I will generate its BWT transform: '
   _A		       =						input(entry_msg).strip()
   _A		       =						bwt_transform(s)
   print(
       f"""Burrows Wheeler transform for string '{s}' results """
       f"""in '{result['bwt_string']}'"""
   )
   _A		       =						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 				lowerCAmelCase_   (	_lowerCamelCase:   list					):
		if any(not isinstance(_lowerCamelCase       ,      _lowerCamelCase					) or x < 0 for x in sequence					):
				raise TypeError("""Sequence must be list of non-negative integers"""					)
		for _ in range(len(_lowerCamelCase					)					):
				for i, (rod_upper, rod_lower) in enumerate(zip(_lowerCamelCase       ,      sequence[1:]					)					):
						if rod_upper > rod_lower:
								sequence[i] -= rod_upper - rod_lower
								sequence[i + 1] += rod_upper - rod_lower
		return sequence


if __name__ == "__main__":
						assert bead_sort([5, 4, 3, 2, 1]) == [1, 2, 3, 4, 5]
						assert bead_sort([7, 9, 4, 3, 5]) == [3, 4, 5, 7, 9]