






'''simple docstring'''
from __future__ import annotations

from typing import TypedDict


class        _UpperCAmelCase						(		snake_case			):
    __lowerCamelCase:   str
    __lowerCamelCase:   int




def 		__SCREAMING_SNAKE_CASE					(  _UpperCamelCase							):


   """simple docstring"""




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

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




def 		__SCREAMING_SNAKE_CASE					(  _UpperCamelCase							):


   """simple docstring"""




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

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




def 		__SCREAMING_SNAKE_CASE					(  _UpperCamelCase						,		_UpperCamelCase							):


   """simple docstring"""




   if not isinstance(_UpperCamelCase						,		_UpperCamelCase							):
      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:
      lowercase_	:    str           =     int(_UpperCamelCase							)
   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(_UpperCamelCase							):
      raise ValueError(
          "The parameter idx_original_string must be lower than" " len(bwt_string)."							)

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


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

UpperCamelCase__ =			[-10, -5, 0, 5, 5.1, 11, 13, 21, 3, 4, -21, -10, -5, -1, 0]
UpperCamelCase__ =			[-5, 0, 5, 5.1, 11, 13, 21, -1, 4, -1, -10, -5, -1, 0, -1]




def 		__SCREAMING_SNAKE_CASE					(  _UpperCamelCase							):


   """simple docstring"""




   lowercase_	:    str           =     []
   lowercase_	:    List[str]           =     len(_UpperCamelCase							)

   for i in range(_UpperCamelCase							):
      lowercase_	:    float           =     -1
      for j in range(i + 1						,		_UpperCamelCase							):
         if arr[i] < arr[j]:
            lowercase_	:    Union[str, Any]           =     arr[j]
            break
      result.append(_UpperCamelCase							)
   return result




def 		__SCREAMING_SNAKE_CASE					(  _UpperCamelCase							):


   """simple docstring"""




   lowercase_	:    List[str]           =     []
   for i, outer in enumerate(_UpperCamelCase							):
      lowercase_	:    float           =     -1
      for inner in arr[i + 1 :]:
         if outer < inner:
            lowercase_	:    Optional[Any]           =     inner
            break
      result.append(_UpperCamelCase							)
   return result




def 		__SCREAMING_SNAKE_CASE					(  _UpperCamelCase							):


   """simple docstring"""




   lowercase_	:    List[str]           =     len(_UpperCamelCase							)
   lowercase_	:    list[float]           =     []
   lowercase_	:    list[float]           =     [-1] * arr_size

   for index in reversed(range(_UpperCamelCase							)							):
      if stack:
         while stack[-1] <= arr[index]:
            stack.pop()
            if not stack:
               break
      if stack:
         lowercase_	:    Optional[Any]           =     stack[-1]
      stack.append(arr[index]							)
   return result


if __name__ == "__main__":
 from doctest import testmod
 from timeit import timeit

 testmod()
 print(next_greatest_element_slow(arr))
 print(next_greatest_element_fast(arr))
 print(next_greatest_element(arr))

 UpperCamelCase__ =			(
     'from __main__ import arr, next_greatest_element_slow, '
     'next_greatest_element_fast, next_greatest_element'
 )
 print(
     'next_greatest_element_slow():',
     timeit('next_greatest_element_slow(arr)', setup=setup),
 )
 print(
     'next_greatest_element_fast():',
     timeit('next_greatest_element_fast(arr)', setup=setup),
 )
 print(
     '     next_greatest_element():',
     timeit('next_greatest_element(arr)', setup=setup),
 )




