'''simple docstring'''

from __future__ import annotations

from typing import TypedDict







class 				_lowercase     (				UpperCAmelCase__			):


 '''simple docstring'''






 _SCREAMING_SNAKE_CASE     :       str
 _SCREAMING_SNAKE_CASE     :       int







def      UpperCamelCase_						(					snake_case_       :       str      )					->     list[str]:






 '''simple docstring'''

 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      UpperCamelCase_						(					snake_case_       :       str      )					->     BWTTransformDict:






 '''simple docstring'''

 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."""      )

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







def      UpperCamelCase_						(					snake_case_       :       str						,		snake_case_       :       int      )					->     str:






 '''simple docstring'''

 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:
  __lowerCAmelCase											=						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)."""      )

 __lowerCAmelCase											=						[""""""] * len(snake_case_      )
 for _ in range(len(snake_case_      )      ):
  for i in range(len(snake_case_      )      ):
   __lowerCAmelCase											=						bwt_string[i] + ordered_rotations[i]
  ordered_rotations.sort()
 return ordered_rotations[idx_original_string]


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

from dataclasses import dataclass







@dataclass
class 				_lowercase     :


 '''simple docstring'''






 _SCREAMING_SNAKE_CASE     :       float
 _SCREAMING_SNAKE_CASE     :       TreeNode | None      	=					None
 _SCREAMING_SNAKE_CASE     :       TreeNode | None      	=					None







def      UpperCamelCase_						(					snake_case_       :       TreeNode | None      )					->     bool:






 '''simple docstring'''

 def is_valid_tree(snake_case_       :       TreeNode | None      ) -> bool:
  if node is None:
   return True

  if not isinstance(snake_case_						,		snake_case_      ):
   return False

  try:
   float(node.data      )
  except (TypeError, ValueError):
   return False

  return is_valid_tree(node.left      ) and is_valid_tree(node.right      )

 if not is_valid_tree(snake_case_      ):
  raise ValueError(
      """Each node should be type of TreeNode and data should be float."""      )

 def is_binary_search_tree_recursive_check(
     snake_case_       :       TreeNode | None						,		snake_case_       :       float						,		snake_case_       :       float      ) -> bool:

  if node is None:
   return True

  return (
      left_bound < node.data < right_bound
      and is_binary_search_tree_recursive_check(node.left						,		snake_case_						,		node.data      )
      and is_binary_search_tree_recursive_check(
          node.right						,		node.data						,		snake_case_      )
  )

 return is_binary_search_tree_recursive_check(snake_case_						,		-float("""inf"""      )						,		float("""inf"""      )      )


if __name__ == "__main__":
 import doctest

 doctest.testmod()






