from __future__ import annotations

from typing import TypedDict
class     lowerCAmelCase_     (       __lowercase ):
							UpperCAmelCase				   =     42
							UpperCAmelCase				   =     42




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

					return [s[i:] + s[:i] for i in range(len(__snake_case						)						)]
def 					_snake_case	(  __snake_case						):
					if not isinstance(__snake_case  ,     __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(__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(__snake_case						),
					}
					return response
def 					_snake_case	(  __snake_case  ,     __snake_case						):
					if not isinstance(__snake_case  ,     __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(__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(__snake_case						):
										raise ValueError(
										    '''The parameter idx_original_string must be lower than''' ''' len(bwt_string).'''						)

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


if __name__ == "__main__":
					_lowerCAmelCase       =		"Provide a string that I will generate its BWT transform: "
					_lowerCAmelCase       =		input(entry_msg).strip()
					_lowerCAmelCase       =		bwt_transform(s)
					print(
					    f'Burrows Wheeler transform for string \'{s}\' results '
					    f'in \'{result["bwt_string"]}\''
					)
					_lowerCAmelCase       =		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'''




from __future__ import annotations





def 	__lowerCamelCase			(      __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							str      ,    __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							int		)		->  Tuple:  # noqa: E741
   while r - l > 1:
      snake_case 						=   (l + r) // 2
      if v[m] >= key:
         snake_case 						=   m
      else:
         snake_case 						=   m  # noqa: E741
   return r





def 	__lowerCamelCase			(      __lowerCAmelCase       :							list[int]		)		->  int:
   if len(__lowerCAmelCase		) == 0:
      return 0

   snake_case 						=   [0] * len(__lowerCAmelCase		)
   snake_case 						=   1

   snake_case 						=   v[0]

   for i in range(1      ,    len(__lowerCAmelCase		)		):
      if v[i] < tail[0]:
         snake_case 						=   v[i]
      elif v[i] > tail[length - 1]:
         snake_case 						=   v[i]
         length += 1
      else:
         snake_case 						=   v[i]

   return length


if __name__ == "__main__":
 import doctest

 doctest.testmod()

