'''simple docstring'''






import copy
import re




class    a :



  """simple docstring"""
  __lowerCAmelCase				      =					"""hp"""
  __lowerCAmelCase				      =					{}
  __lowerCAmelCase				      =					None







  @classmethod
  def    lowercase_  (							cls   ,    snake_case_   ,    snake_case_					):

    '''simple docstring'''







    __UpperCAmelCase:					Union[str, Any]		= prefix
    __UpperCAmelCase:					Tuple		= defaults
    cls.build_naming_info()







  @staticmethod
  def    lowercase_  (							snake_case_   ,    snake_case_					):

    '''simple docstring'''







    if len(lowerCamelCase_					) == 0:
      return ""
    __UpperCAmelCase:					Optional[Any]		= None
    if any(char.isdigit() for char in word					):
      raise Exception(F'''Parameters should not contain numbers: \'{word}\' contains a number'''					)
    if word in info["short_word"]:
      return info["short_word"][word]
    for prefix_len in range(1   ,    len(lowerCamelCase_					) + 1					):
      __UpperCAmelCase:					List[str]		= word[:prefix_len]
      if prefix in info["reverse_short_word"]:
        continue
      else:
        __UpperCAmelCase:					Any		= prefix
        break

    if short_word is None:
      # Paranoid fallback
      def int_to_alphabetic(snake_case_					):
        __UpperCAmelCase:					str		= """"""
        while integer != 0:
          __UpperCAmelCase:					Optional[int]		= chr(ord("""A"""					) + integer % 10					) + s
          integer //= 10
        return s

      __UpperCAmelCase:					Union[str, Any]		= 0
      while True:
        __UpperCAmelCase:					List[Any]		= word + """#""" + int_to_alphabetic(lowerCamelCase_					)
        if sword in info["reverse_short_word"]:
          continue
        else:
          __UpperCAmelCase:					List[str]		= sword
          break

    __UpperCAmelCase:					Tuple		= short_word
    __UpperCAmelCase:					int		= word
    return short_word







  @staticmethod
  def    lowercase_  (							snake_case_   ,    snake_case_					):

    '''simple docstring'''







    __UpperCAmelCase:					Dict		= param_name.split("""_"""					)

    __UpperCAmelCase:					Dict		= [TrialShortNamer.shortname_for_word(lowerCamelCase_   ,    lowerCamelCase_					) for word in words]

    # We try to create a separatorless short name, but if there is a collision we have to fallback
    # to a separated short name
    __UpperCAmelCase:					Tuple		= ["""""", """_"""]

    for separator in separators:
      __UpperCAmelCase:					List[Any]		= separator.join(lowerCamelCase_					)
      if shortname not in info["reverse_short_param"]:
        __UpperCAmelCase:					str		= shortname
        __UpperCAmelCase:					List[str]		= param_name
        return shortname

    return param_name







  @staticmethod
  def    lowercase_  (							snake_case_   ,    snake_case_					):

    '''simple docstring'''







    __UpperCAmelCase:					Dict		= TrialShortNamer.shortname_for_key(lowerCamelCase_   ,    lowerCamelCase_					)
    __UpperCAmelCase:					Optional[Any]		= short_name
    __UpperCAmelCase:					int		= param_name







  @classmethod
  def    lowercase_  (							cls					):

    '''simple docstring'''







    if cls.NAMING_INFO is not None:
      return

    __UpperCAmelCase:					Optional[Any]		= {
        """short_word""": {},
        """reverse_short_word""": {},
        """short_param""": {},
        """reverse_short_param""": {},
    }

    __UpperCAmelCase:					Dict		= list(cls.DEFAULTS.keys()					)

    for k in field_keys:
      cls.add_new_param_name(lowerCamelCase_   ,    lowerCamelCase_					)

    __UpperCAmelCase:					Tuple		= info







  @classmethod
  def    lowercase_  (							cls   ,    snake_case_					):

    '''simple docstring'''







    cls.build_naming_info()
    assert cls.PREFIX is not None
    __UpperCAmelCase:					List[Any]		= [copy.copy(cls.PREFIX					)]

    for k, v in params.items():
      if k not in cls.DEFAULTS:
        raise Exception(F'''You should provide a default value for the param name {k} with value {v}'''					)
      if v == cls.DEFAULTS[k]:
        # The default value is not added to the name
        continue

      __UpperCAmelCase:					Dict		= cls.NAMING_INFO["""short_param"""][k]

      if isinstance(lowerCamelCase_   ,    lowerCamelCase_					):
        __UpperCAmelCase:					List[str]		= 1 if v else 0

      __UpperCAmelCase:					Dict		= """""" if isinstance(lowerCamelCase_   ,    (int, float)					) else """-"""
      __UpperCAmelCase:					List[Any]		= F'''{key}{sep}{v}'''
      name.append(lowerCamelCase_					)

    return "_".join(lowerCamelCase_					)







  @classmethod
  def    lowercase_  (							cls   ,    snake_case_					):

    '''simple docstring'''







    __UpperCAmelCase:					int		= repr[len(cls.PREFIX					) + 1 :]
    if repr == "":
      __UpperCAmelCase:					Optional[Any]		= []
    else:
      __UpperCAmelCase:					Union[str, Any]		= repr.split("""_"""					)

    __UpperCAmelCase:					int		= {}

    for value in values:
      if "-" in value:
        __UpperCAmelCase:					List[Any]		= value.split("""-"""					)
      else:
        __UpperCAmelCase:					Union[str, Any]		= re.sub("""[0-9.]"""   ,    """"""   ,    lowerCamelCase_					)
        __UpperCAmelCase:					str		= float(re.sub("""[^0-9.]"""   ,    """"""   ,    lowerCamelCase_					)					)

      __UpperCAmelCase:					Tuple		= cls.NAMING_INFO["""reverse_short_param"""][p_k]

      __UpperCAmelCase:					List[str]		= p_v

    for k in cls.DEFAULTS:
      if k not in parameters:
        __UpperCAmelCase:					Tuple		= cls.DEFAULTS[k]

    return parameters
'''simple docstring'''






import itertools
import math






def  UpperCamelCase__					(					_lowercase    :				int     )							->	bool:

  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(_lowercase     ) + 1     )   ,    6     ):
    if number % i == 0 or number % (i + 2) == 0:
      return False
  return True






def  UpperCamelCase__					(					)							->	Optional[int]:
  __UpperCAmelCase:					Union[str, Any]		= 2
  while True:
    if is_prime(_lowercase     ):
      yield num
    num += 1






def  UpperCamelCase__					(					_lowercase    :				int = 1_0_0_0_1     )							->	int:
  return next(itertools.islice(prime_generator()   ,    nth - 1   ,    _lowercase     )     )


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