

from __future__ import annotations

from typing import TypedDict

class   _a					(			snake_case_				):




      """simple docstring"""

      _lowerCamelCase       :			str
      _lowerCamelCase       :			int




def       __snake_case						( __UpperCamelCase	: str    ):



      """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       __snake_case						( __UpperCamelCase	: str    ):



      """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."    )

      A_						  =				all_rotations(__UpperCamelCase    )
      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(__UpperCamelCase    ),
      }
      return response

def       __snake_case						( __UpperCamelCase	: str				,__UpperCamelCase	: int    ):



      """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:
            A_						  =				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)."    )

      A_						  =				[""] * len(__UpperCamelCase    )
      for _ in range(len(__UpperCamelCase    )    ):
            for i in range(len(__UpperCamelCase    )    ):
                  A_						  =				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    :List[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}'"
      )






import numpy as np







def   __lowerCamelCase   (				__a  :np.array       )						->							np.array:






		"""simple docstring"""

		return 1 / (1 + np.exp(-vector       ))







def   __lowerCamelCase   (				__a  :np.array       )						->							np.array:






		"""simple docstring"""

		return vector * sigmoid(1.702 * vector       )


if __name__ == "__main__":
					import doctest

					doctest.testmod()



