





'''simple docstring'''

from __future__ import annotations

from typing import TypedDict
class 							__lowerCAmelCase	(       __magic_name__					):






       """simple docstring"""
       _snake_case      :	str
       _snake_case      :	int







def    a__							(							lowercase   :	str )						->						list[str]:





     """simple docstring"""

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

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







def    a__							(							lowercase   :	str )						->						BWTTransformDict:





     """simple docstring"""

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

     _UpperCamelCase							       =			all_rotations(lowercase )
     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(lowercase ),
     }
     return response







def    a__							(							lowercase   :	str,   lowercase   :	int )						->						str:





     """simple docstring"""

     if not isinstance(lowercase,   lowercase ):
          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(lowercase )
     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(lowercase ):
          raise ValueError(
              '''The parameter idx_original_string must be lower than''' ''' len(bwt_string).''' )

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


if __name__ == "__main__":
   lowercase__		:     List[str]			=							'Provide a string that I will generate its BWT transform: '
   lowercase__		:     Optional[int]			=							input(entry_msg).strip()
   lowercase__		:     Dict			=							bwt_transform(s)
   print(
       F"""Burrows Wheeler transform for string '{s}' results """
       F"""in '{result['bwt_string']}'"""
   )
   lowercase__		:     Optional[Any]			=							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    a__							(							lowercase   :	int,   lowercase   :	int,   lowercase   :	int )						->						float:





     """simple docstring"""

     _UpperCamelCase							       =			(num_of_terms / 2) * (2 * first_term + (num_of_terms - 1) * common_diff)
     # formula for sum of series
     return total







def    a__							(							)						->						Tuple:





     """simple docstring"""

     print(sum_of_series(1,   1,   10 ) )


if __name__ == "__main__":
   import doctest

   doctest.testmod()



