





from __future__ import annotations

from typing import TypedDict



class    _SCREAMING_SNAKE_CASE						(	__SCREAMING_SNAKE_CASE    ):







 '''simple docstring'''
 lowercase_		=			42
 lowercase_		=			42





def      lowerCAmelCase_ (       __a		)     ->		list[str]:







  """simple docstring"""





  if not isinstance(__a	,    __a		):
    raise TypeError("The parameter s type must be str."		)

  return [s[i:] + s[:i] for i in range(len(__a		)		)]





def      lowerCAmelCase_ (       __a		)     ->		BWTTransformDict:







  """simple docstring"""





  if not isinstance(__a	,    __a		):
    raise TypeError("The parameter s type must be str."		)
  if not s:
    raise ValueError("The parameter s must not be empty."		)

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





def      lowerCAmelCase_ (       __a	,    __a		)     ->		str:







  """simple docstring"""





  if not isinstance(__a	,    __a		):
    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__:      Tuple			  =int(__a		)
  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(__a		):
    raise ValueError(
        "The parameter idx_original_string must be lower than" " len(bwt_string)."		)

  lowerCamelCase__:      List[str]			  =[""] * len(__a		)
  for _ in range(len(__a		)		):
    for i in range(len(__a		)		):
      lowerCamelCase__:      List[str]			  =bwt_string[i] + ordered_rotations[i]
    ordered_rotations.sort()
  return ordered_rotations[idx_original_string]


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





def      lowerCAmelCase_ (       __a		)     ->		bool:







  """simple docstring"""





  if 1 < number < 4:
    # 2 and 3 are primes
    return True
  elif number < 2 or number % 2 == 0 or number % 3 == 0:
    # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
    return False

  # All primes number are in format of 6k +/- 1
  for i in range(5	,    int(math.sqrt(__a		) + 1		)	,    6		):
    if number % i == 0 or number % (i + 2) == 0:
      return False
  return True





def      lowerCAmelCase_ (       )     ->		str:







  """simple docstring"""





  lowerCamelCase__:      Optional[int]			  =2
  while True:
    if is_prime(__a		):
      yield num
    num += 1





def      lowerCAmelCase_ (       __a = 10001		)     ->		int:







  """simple docstring"""





  return next(itertools.islice(prime_generator()	,    nth - 1	,    __a		)		)


if __name__ == "__main__":
     print(f'{solution() = }')

