





"""simple docstring"""


from __future__ import annotations

from typing import TypedDict



class      __SCREAMING_SNAKE_CASE    (						_UpperCamelCase   ):







  '''simple docstring'''


  SCREAMING_SNAKE_CASE__							:str
  SCREAMING_SNAKE_CASE__							:int





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




def 					lowercase__    (					lowercase_		,lowercase_			)					->		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      :	str						=       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      :	Dict						=       [""] * len(lowercase_			)
      for _ in range(len(lowercase_			)			):
            for i in range(len(lowercase_			)			):
                  _UpperCamelCase      :	str						=       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"""


def 					lowercase__    (					lowercase_			)					->		set:




      """simple docstring"""

      _UpperCamelCase      :	Union[str, Any]						=       set()
      # edges = list of graph's edges
      _UpperCamelCase      :	Union[str, Any]						=       get_edges(lowercase_			)

      # While there are still elements in edges list, take an arbitrary edge
      # (from_node, to_node) and add his extremity to chosen_vertices and then
      # remove all arcs adjacent to the from_node and to_node
      while edges:
            _UpperCamelCase,  _UpperCamelCase      :	str						=       edges.pop()
            chosen_vertices.add(lowercase_			)
            chosen_vertices.add(lowercase_			)
            for edge in edges.copy():
                  if from_node in edge or to_node in edge:
                        edges.discard(lowercase_			)
      return chosen_vertices




def 					lowercase__    (					lowercase_			)					->		set:




      """simple docstring"""

      _UpperCamelCase      :	List[str]						=       set()
      for from_node, to_nodes in graph.items():
            for to_node in to_nodes:
                  edges.add((from_node, to_node)			)
      return edges


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  # graph = {0: [1, 3], 1: [0, 3], 2: [0, 3, 4], 3: [0, 1, 2], 4: [2, 3]}
  # print(f"Matching vertex cover:\n{matching_min_vertex_cover(graph)}")
