


import math

def       lowercase_		(		_A			:    int						):

      """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       lowercase_		(		_A			:    int = 10001						):

      """simple docstring"""




      try:
            lowerCamelCase__		:				List[str]    =  int(_A						)
      except (TypeError, ValueError):
            raise TypeError("Parameter nth must be int or castable to int."						) from None
      if nth <= 0:
            raise ValueError("Parameter nth must be greater than or equal to one."						)
      lowerCamelCase__		:				list[int]    =  []
      lowerCamelCase__		:				int    =  2
      while len(_A						) < nth:
            if is_prime(_A						):
                  primes.append(_A						)
                  num += 1
            else:
                  num += 1
      return primes[len(_A						) - 1]


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






from __future__ import annotations

from typing import Any

def       lowercase_		(		_A			:    list[Any]						):

      """simple docstring"""




      create_state_space_tree(_A    ,					[]    ,					0						)

def       lowercase_		(		_A			:    list[Any]    ,					_A			:    list[Any]    ,					_A			:    int						):

      """simple docstring"""




      if index == len(_A						):
            print(_A						)
            return

      create_state_space_tree(_A    ,					_A    ,					index + 1						)
      current_subsequence.append(sequence[index]						)
      create_state_space_tree(_A    ,					_A    ,					index + 1						)
      current_subsequence.pop()


if __name__ == "__main__":
    A      :    list[Any]		=					[3, 1, 2, 4]
    generate_all_subsequences(seq)

    seq.clear()
    seq.extend(["A", "B", "C"])
    generate_all_subsequences(seq)


