



from __future__ import annotations

from typing import TypedDict
class 			_snake_case     (   lowercase__):
    UpperCamelCase__			:   str
    UpperCamelCase__			:   int



def __lowerCAmelCase	(       SCREAMING_SNAKE_CASE_					):
   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 __lowerCAmelCase	(       SCREAMING_SNAKE_CASE_					):
   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."					)

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



def __lowerCAmelCase	(       SCREAMING_SNAKE_CASE_  ,					SCREAMING_SNAKE_CASE_					):
   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:
      lowercase__   					=			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)."					)

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


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









from graphs.minimum_spanning_tree_kruskal import kruskal



def __lowerCAmelCase	(       ):
			lowercase__   					=			9
			lowercase__   					=			[
			    [0, 1, 4],
			    [0, 7, 8],
			    [1, 2, 8],
			    [7, 8, 7],
			    [7, 6, 1],
			    [2, 8, 2],
			    [8, 6, 6],
			    [2, 3, 7],
			    [2, 5, 4],
			    [6, 5, 2],
			    [3, 5, 14],
			    [3, 4, 9],
			    [5, 4, 10],
			    [1, 7, 11],
			]

			lowercase__   					=			kruskal(SCREAMING_SNAKE_CASE_  ,					SCREAMING_SNAKE_CASE_					)

			lowercase__   					=			[
			    [7, 6, 1],
			    [2, 8, 2],
			    [6, 5, 2],
			    [0, 1, 4],
			    [2, 5, 4],
			    [2, 3, 7],
			    [0, 7, 8],
			    [3, 4, 9],
			]

			assert sorted(SCREAMING_SNAKE_CASE_					) == sorted(SCREAMING_SNAKE_CASE_					)




