





'''simple docstring'''







from __future__ import annotations

from typing import TypedDict
class 				__SCREAMING_SNAKE_CASE  (lowerCamelCase_      ):






				"""simple docstring"""







				__a            =42
				__a            =42






def  _lowerCamelCase				( lowercase						:      str						)	->	list[str]:
				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  _lowerCamelCase				( lowercase						:      str						)	->	BWTTransformDict:
				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."						)

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






def  _lowerCamelCase				( lowercase						:      str    ,							lowercase						:      int						)	->	str:
				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:
								_a								= 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)."						)

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


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







a__:      Dict									=		{0: [2, 3], 1: [0], 2: [1], 3: [4], 4: []}

a__:      str									=		{0: [1, 2, 3], 1: [2], 2: [0], 3: [4], 4: [5], 5: [3]}


def 	UpperCamelCase__(       UpperCamelCase__			:       dict[int, list[int]] ,     UpperCamelCase__			:       int ,     UpperCamelCase__			:       list[bool]  )->list[int]:
       A__											=						True
       A__											=						[]

       for neighbour in graph[vert]:
              if not visited[neighbour]:
                     order += topology_sort(UpperCamelCase__ ,     UpperCamelCase__ ,     UpperCamelCase__  )

       order.append(UpperCamelCase__  )

       return order


def 	UpperCamelCase__(       UpperCamelCase__			:       dict[int, list[int]] ,     UpperCamelCase__			:       int ,     UpperCamelCase__			:       list[bool]  )->list[int]:
       A__											=						True
       A__											=						[vert]

       for neighbour in reversed_graph[vert]:
              if not visited[neighbour]:
                     component += find_components(UpperCamelCase__ ,     UpperCamelCase__ ,     UpperCamelCase__  )

       return component


def 	UpperCamelCase__(       UpperCamelCase__			:       dict[int, list[int]]  )->list[list[int]]:
       A__											=						len(UpperCamelCase__  ) * [False]
       A__											=						{vert: [] for vert in range(len(UpperCamelCase__  )  )}

       for vert, neighbours in graph.items():
              for neighbour in neighbours:
                     reversed_graph[neighbour].append(UpperCamelCase__  )

       A__											=						[]
       for i, was_visited in enumerate(UpperCamelCase__  ):
              if not was_visited:
                     order += topology_sort(UpperCamelCase__ ,     UpperCamelCase__ ,     UpperCamelCase__  )

       A__											=						[]
       A__											=						len(UpperCamelCase__  ) * [False]

       for i in range(len(UpperCamelCase__  )  ):
              A__											=						order[len(UpperCamelCase__  ) - i - 1]
              if not visited[vert]:
                     A__											=						find_components(UpperCamelCase__ ,     UpperCamelCase__ ,     UpperCamelCase__  )
                     components_list.append(UpperCamelCase__  )

       return components_list





