'''simple docstring'''





def       lowerCAmelCase_							(   snake_case_			:					int     )       -> int:


     '''simple docstring'''




     UpperCAmelCase_			       =  0
     while num > 0:
          digit_sum += num % 10
          num //= 10
     return digit_sum





def       lowerCAmelCase_							(   snake_case_			:					int = 1_00     )       -> int:


     '''simple docstring'''




     UpperCAmelCase_			       =  1
     UpperCAmelCase_			       =  2

     for i in range(2   ,       max_n + 1     ):
          UpperCAmelCase_			       =  pre_numerator
          UpperCAmelCase_			       =  2 * i // 3 if i % 3 == 0 else 1
          UpperCAmelCase_			       =  cur_numerator
          UpperCAmelCase_			       =  e_cont * pre_numerator + temp

     return sum_digits(snake_case_     )


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











"""simple docstring"""






from __future__ import annotations






def      lowercase__ (					lowerCAmelCase__   :			int			)    ->			list[int]:



			'''simple docstring'''
			a__  :	Tuple		 =			[True] * limit
			a__  :	Tuple		 =			False
			a__  :	int		 =			False
			a__  :	Tuple		 =			True

			for i in range(3							,			int(limit**0.5 + 1			)							,			2			):
						a__  :	int		 =			i * 2
						while index < limit:
									a__  :	Union[str, Any]		 =			False
									a__  :	int		 =			index + i

			a__  :	str		 =			[2]

			for i in range(3							,			lowerCAmelCase__							,			2			):
						if is_prime[i]:
									primes.append(lowerCAmelCase__			)

			return primes






def      lowercase__ (					lowerCAmelCase__   :			int = 1_0_0_0_0_0_0			)    ->			int:



			'''simple docstring'''
			a__  :	List[Any]		 =			prime_sieve(lowerCAmelCase__			)
			a__  :	int		 =			0
			a__  :	str		 =			0

			for i in range(len(lowerCAmelCase__			)			):
						for j in range(i + length							,			len(lowerCAmelCase__			)			):
									a__  :	List[str]		 =			sum(primes[i:j]			)
									if sol >= ceiling:
												break

									if sol in primes:
												a__  :	Tuple		 =			j - i
												a__  :	Union[str, Any]		 =			sol

			return largest


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