



import math






def  UpperCAmelCase__    (    lowercase__   ) ->      int:

						if not isinstance(_lowerCAmelCase						,       _lowerCAmelCase   ):
												__lowercase					=				F"Input value of [number={number}] must be an integer"
												raise TypeError(_lowerCAmelCase   )

						if number < 1:
												__lowercase					=				F"Input value of [number={number}] must be > 0"
												raise ValueError(_lowerCAmelCase   )
						elif number == 1:
												return 3
						elif number == 2:
												return 5
						else:
												__lowercase					=				int(math.log(number // 3						,       2   )   ) + 2

												__lowercase					=				[3, 5]
												__lowercase					=				2
												__lowercase					=				3
												for block in range(1						,       _lowerCAmelCase   ):
																		for _ in range(_lowerCAmelCase   ):
																								proth_list.append(2 ** (block + 1) + proth_list[proth_index - 1]   )
																								proth_index += 1
																		increment *= 2

						return proth_list[number - 1]


if __name__ == "__main__":
			import doctest

			doctest.testmod()

			for number in range(11):
						UpperCamelCase__ =						0
						try:
									UpperCamelCase__ =						proth(number)
						except ValueError:
									print(F"""ValueError: there is no {number}th Proth number""")
									continue

						print(F"""The {number}th Proth number: {value}""")










from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import Features, Value
from .base import TaskTemplate
@dataclass(frozen=_UpperCAmelCase			)
class 			_lowerCAmelCase   ( _UpperCAmelCase			):






			"""simple docstring"""





			lowercase__      :  str      =			field(default="""summarization"""    ,					metadata={"""include_in_asdict_even_if_is_default""": True}			)
			lowercase__      :  ClassVar[Features]      =			Features({"""text""": Value("""string"""			)}			)
			lowercase__      :  ClassVar[Features]      =			Features({"""summary""": Value("""string"""			)}			)
			lowercase__      :  str      =			"text"
			lowercase__      :  str      =			"summary"





			@property
			def 		snake_case__			(				self	:       List[Any]   )						->					Dict[str, str]:
									"""simple docstring"""







									return {self.text_column: "text", self.summary_column: "summary"}





