
import math






def        lowerCamelCase__    (    __lowerCAmelCase  :  List[str]    ):




			"""simple docstring"""


			return sum(int(snake_case__    ) for digit in str(snake_case__    )    )






def        lowerCamelCase__    (    __lowerCAmelCase  :  str = 30    ):




			"""simple docstring"""


			lowerCAmelCase_      =     []
			for digit in range(2   ,							100    ):
						for power in range(2   ,							100    ):
									lowerCAmelCase_      =     int(math.pow(snake_case__   ,							snake_case__    )    )
									if digit == digit_sum(snake_case__    ):
												digit_to_powers.append(snake_case__    )

			digit_to_powers.sort()
			return digit_to_powers[n - 1]


if __name__ == "__main__":
		print(solution())





class      _lowerCAmelCase :




				def __init__( self					)    ->				None:
							# numbermap keys are the number and its values are lists of indexes sorted
							# in ascending order
							lowerCAmelCase_      =     {}
							# indexmap keys are an index and it's values are the number at that index
							lowerCAmelCase_      =     {}




				def 					__a						( self    ,    _UpperCamelCase    ,    _UpperCamelCase					)    ->				list[int]:
							if isinstance(_UpperCamelCase    ,    (range, str)					):
										lowerCAmelCase_      =     list(_UpperCamelCase					)
							elif not isinstance(_UpperCamelCase    ,    _UpperCamelCase					):
										raise TypeError(
										    "binary_search_delete() only accepts either a list, range or str"					)

							lowerCAmelCase_      =     0
							lowerCAmelCase_      =     len(_UpperCamelCase					) - 1

							while low <= high:
										lowerCAmelCase_      =     (low + high) // 2
										if array[mid] == item:
													array.pop(_UpperCamelCase					)
													return array
										elif array[mid] < item:
													lowerCAmelCase_      =     mid + 1
										else:
													lowerCAmelCase_      =     mid - 1
							raise ValueError(
							    "Either the item is not in the array or the array was unsorted"					)




				def 					__a						( self    ,    _UpperCamelCase    ,    _UpperCamelCase					)    ->				list[int]:
							if isinstance(_UpperCamelCase    ,    (range, str)					):
										lowerCAmelCase_      =     list(_UpperCamelCase					)
							elif not isinstance(_UpperCamelCase    ,    _UpperCamelCase					):
										raise TypeError(
										    "binary_search_insert() only accepts either a list, range or str"					)

							lowerCAmelCase_      =     0
							lowerCAmelCase_      =     len(_UpperCamelCase					) - 1

							while low <= high:
										lowerCAmelCase_      =     (low + high) // 2
										if array[mid] == index:
													# If the item already exists in the array,
													# insert it after the existing item
													array.insert(mid + 1    ,    _UpperCamelCase					)
													return array
										elif array[mid] < index:
													lowerCAmelCase_      =     mid + 1
										else:
													lowerCAmelCase_      =     mid - 1

        # If the item doesn't exist in the array, insert it at the appropriate position
							array.insert(_UpperCamelCase    ,    _UpperCamelCase					)
							return array




				def 					__a						( self    ,    _UpperCamelCase    ,    _UpperCamelCase					)    ->				None:
							# Remove previous index
							if index in self.indexmap:
										lowerCAmelCase_      =     self.indexmap[index]
										if len(self.numbermap[n]					) == 1:
													del self.numbermap[n]
										else:
													lowerCAmelCase_      =     self.binary_search_delete(self.numbermap[n]    ,    _UpperCamelCase					)

        # Set new index
							lowerCAmelCase_      =     number

							# Number not seen before or empty so insert number value
							if number not in self.numbermap:
										lowerCAmelCase_      =     [index]

							# Here we need to perform a binary search insertion in order to insert
							# The item in the correct place
							else:
										lowerCAmelCase_      =     self.binary_search_insert(
										    self.numbermap[number]    ,    _UpperCamelCase					)




				def 					__a						( self    ,    _UpperCamelCase					)    ->				int:
							return self.numbermap.get(_UpperCamelCase    ,    [-1]					)[0]


if __name__ == "__main__":
			import doctest

			doctest.testmod()



