code: 
  
  
  
  """simple docstring"""
  
  
  
  
  import math
  
  def 		__snake_case		(   SCREAMING_SNAKE_CASE__			:		int       ):
  
  
  
  
  
       '''simple docstring'''
  
       if number == 0:
            _UpperCAmelCase    :			Optional[int]              =					"Zero"
            return words
       else:
            _UpperCAmelCase    :			List[str]              =					math.logaa(SCREAMING_SNAKE_CASE__       )
            _UpperCAmelCase    :			Optional[Any]              =					digits + 1
            _UpperCAmelCase    :			Optional[int]              =					{}
            _UpperCAmelCase    :			List[Any]              =					""
            _UpperCAmelCase    :			List[Any]              =					"One"
            _UpperCAmelCase    :			Dict              =					"Two"
            _UpperCAmelCase    :			Dict              =					"Three"
            _UpperCAmelCase    :			List[str]              =					"Four"
            _UpperCAmelCase    :			int              =					"Five"
            _UpperCAmelCase    :			List[Any]              =					"Six"
            _UpperCAmelCase    :			Optional[int]              =					"Seven"
            _UpperCAmelCase    :			Optional[int]              =					"Eight"
            _UpperCAmelCase    :			Dict              =					"Nine"
  
            _UpperCAmelCase    :			Any              =					{}
            _UpperCAmelCase    :			Optional[int]              =					""
            _UpperCAmelCase    :			int              =					"Twenty"
            _UpperCAmelCase    :			List[Any]              =					"Thirty"
            _UpperCAmelCase    :			Optional[Any]              =					"Forty"
            _UpperCAmelCase    :			int              =					"Fifty"
            _UpperCAmelCase    :			Dict              =					"Sixty"
            _UpperCAmelCase    :			List[str]              =					"Seventy"
            _UpperCAmelCase    :			Optional[int]              =					"Eighty"
            _UpperCAmelCase    :			int              =					"Ninety"
  
            _UpperCAmelCase    :			int              =					{}
            _UpperCAmelCase    :			Dict              =					"Ten"
            _UpperCAmelCase    :			Optional[Any]              =					"Eleven"
            _UpperCAmelCase    :			Dict              =					"Twelve"
            _UpperCAmelCase    :			str              =					"Thirteen"
            _UpperCAmelCase    :			Tuple              =					"Fourteen"
            _UpperCAmelCase    :			Any              =					"Fifteen"
            _UpperCAmelCase    :			Union[str, Any]              =					"Sixteen"
            _UpperCAmelCase    :			str              =					"Seventeen"
            _UpperCAmelCase    :			int              =					"Eighteen"
            _UpperCAmelCase    :			Optional[Any]              =					"Nineteen"
  
            _UpperCAmelCase    :			int              =					{}
            _UpperCAmelCase    :			List[str]              =					"Hundred,"
            _UpperCAmelCase    :			Optional[int]              =					"Thousand,"
            _UpperCAmelCase    :			List[str]              =					"Lakh,"
            _UpperCAmelCase    :			List[Any]              =					"Crore,"
  
            _UpperCAmelCase    :			Any              =					number
            _UpperCAmelCase    :			Any              =					""
            _UpperCAmelCase    :			int              =					0
            _UpperCAmelCase    :			List[str]              =					int(SCREAMING_SNAKE_CASE__       )
            while counter < digits:
                 _UpperCAmelCase    :			int              =					temp_num % 10
                 if counter % 2 == 0:
                      _UpperCAmelCase    :			Optional[int]              =					""
                      if counter in placevalue and current != 0:
                           _UpperCAmelCase    :			Tuple              =					placevalue[counter]
                      if counter == 2:
                           _UpperCAmelCase    :			Any              =					singles[current] + addition + words
                      elif counter == 0:
                           if ((temp_num % 100) // 10) == 1:
                                _UpperCAmelCase    :			Optional[Any]              =					teens[current] + addition + words
                                _UpperCAmelCase    :			int              =					temp_num // 10
                                counter += 1
                           else:
                                _UpperCAmelCase    :			str              =					singles[current] + addition + words
  
                      else:
                           _UpperCAmelCase    :			Tuple              =					doubles[current] + addition + words
  
                 else:
                      if counter == 1:
                           if current == 1:
                                _UpperCAmelCase    :			Dict              =					teens[number % 10] + words
                           else:
                                _UpperCAmelCase    :			Dict              =					""
                                if counter in placevalue:
                                     _UpperCAmelCase    :			Tuple              =					placevalue[counter]
                                _UpperCAmelCase    :			Dict              =					doubles[current] + addition + words
                      else:
                           _UpperCAmelCase    :			int              =					""
                           if counter in placevalue:
                                if current == 0 and ((temp_num % 100) // 10) == 0:
                                     _UpperCAmelCase    :			Tuple              =					""
                                else:
                                     _UpperCAmelCase    :			Optional[int]              =					placevalue[counter]
                           if ((temp_num % 100) // 10) == 1:
                                _UpperCAmelCase    :			Dict              =					teens[current] + addition + words
                                _UpperCAmelCase    :			List[str]              =					temp_num // 10
                                counter += 1
                           else:
                                _UpperCAmelCase    :			List[str]              =					singles[current] + addition + words
                 counter += 1
                 _UpperCAmelCase    :			Union[str, Any]              =					temp_num // 10
       return words
  
  
  if __name__ == "__main__":
   import doctest
  
   doctest.testmod()
  
style_context: 
  
  
  
  """simple docstring"""
  
  
  
  
  _lowerCAmelCase       :      str							=							{
      "0": 1,
      "1": 1,
      "2": 2,
      "3": 6,
      "4": 24,
      "5": 1_20,
      "6": 7_20,
      "7": 50_40,
      "8": 4_03_20,
      "9": 36_28_80,
  }
  
  _lowerCAmelCase       :      Optional[int]							=							{1_45: 1_45}
  
  _lowerCAmelCase       :      int							=							{
      1_45: 0,
      1_69: 3,
      3_63_01: 3,
      14_54: 3,
      8_71: 2,
      4_53_61: 2,
      8_72: 2,
  }
  
  def 		__snake_case		(   SCREAMING_SNAKE_CASE__			:		int       )						->     int:
  
  
  
  
  
       '''simple docstring'''
  
       if n in CACHE_SUM_DIGIT_FACTORIALS:
            return CACHE_SUM_DIGIT_FACTORIALS[n]
       _UpperCAmelCase    :			Dict              =					sum(DIGIT_FACTORIALS[let] for let in str(SCREAMING_SNAKE_CASE__       )       )
       _UpperCAmelCase    :			Any              =					ret
       return ret
  
  def 		__snake_case		(   SCREAMING_SNAKE_CASE__			:		int		,						SCREAMING_SNAKE_CASE__			:		set | None = None       )						->     int:
  
  
  
  
  
       '''simple docstring'''
  
       _UpperCAmelCase    :			Dict              =					previous or set()
       if n in CHAIN_LENGTH_CACHE:
            return CHAIN_LENGTH_CACHE[n]
       _UpperCAmelCase    :			Dict              =					sum_digit_factorials(SCREAMING_SNAKE_CASE__       )
       if next_number in previous:
            _UpperCAmelCase    :			List[str]              =					0
            return 0
       else:
            previous.add(SCREAMING_SNAKE_CASE__       )
            _UpperCAmelCase    :			str              =					1 + chain_length(SCREAMING_SNAKE_CASE__		,						SCREAMING_SNAKE_CASE__       )
            _UpperCAmelCase    :			str              =					ret
            return ret
  
  def 		__snake_case		(   SCREAMING_SNAKE_CASE__			:		int = 60		,						SCREAMING_SNAKE_CASE__			:		int = 1_000_000       )						->     int:
  
  
  
  
  
       '''simple docstring'''
  
       return sum(1 for i in range(1		,						SCREAMING_SNAKE_CASE__       ) if chain_length(SCREAMING_SNAKE_CASE__       ) == num_terms       )
  
  
  if __name__ == "__main__":
   print(F"{solution() = }")
  