


'''simple docstring'''






lowercase							=[0, 2, 4, 6, 8]
lowercase							=[1, 3, 5, 7, 9]





def lowerCamelCase__      (						__lowerCamelCase	:							int	,   __lowerCamelCase	:							int	,   __lowerCamelCase	:							list[int]	,   __lowerCamelCase	:							int							):







   '''simple docstring'''




   if remaining_length == 0:
      if digits[0] == 0 or digits[-1] == 0:
         return 0

      for i in range(length // 2 - 1	,   -1	,   -1							):
         remainder += digits[i] + digits[length - i - 1]

         if remainder % 2 == 0:
            return 0

         remainder //= 1_0

      return 1

   if remaining_length == 1:
      if remainder % 2 == 0:
         return 0

      _UpperCAmelCase       :       Union[str, Any]							   =0
      for digit in range(1_0							):
         _UpperCAmelCase       :       str							   =digit
         result += reversible_numbers(
             0	,   (remainder + 2 * digit) // 1_0	,   __lowerCamelCase	,   __lowerCamelCase							)
      return result

   _UpperCAmelCase       :       Optional[Any]							   =0
   for digita in range(1_0							):
      _UpperCAmelCase       :       Any							   =digita

      if (remainder + digita) % 2 == 0:
         _UpperCAmelCase       :       Optional[int]							   =ODD_DIGITS
      else:
         _UpperCAmelCase       :       Union[str, Any]							   =EVEN_DIGITS

      for digita in other_parity_digits:
         _UpperCAmelCase       :       int							   =digita
         result += reversible_numbers(
             remaining_length - 2	,   (remainder + digita + digita) // 1_0	,   __lowerCamelCase	,   __lowerCamelCase	,   )
   return result





def lowerCamelCase__      (						__lowerCamelCase	:							int = 9							):







   '''simple docstring'''




   _UpperCAmelCase       :       Optional[int]							   =0
   for length in range(1	,   max_power + 1							):
      result += reversible_numbers(__lowerCamelCase	,   0	,   [0] * length	,   __lowerCamelCase							)
   return result


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





'''simple docstring'''






def lowerCamelCase__      (						__lowerCamelCase	:							int	,   __lowerCamelCase	:							list[int]	,   __lowerCamelCase	:							int							):







   '''simple docstring'''




   def count_of_possible_combinations(__lowerCamelCase	:							int							) -> int:
      if target < 0:
         return 0
      if target == 0:
         return 1
      return sum(count_of_possible_combinations(target - item							) for item in array							)

   return count_of_possible_combinations(__lowerCamelCase							)





def lowerCamelCase__      (						__lowerCamelCase	:							int	,   __lowerCamelCase	:							list[int]	,   __lowerCamelCase	:							int							):







   '''simple docstring'''




   def count_of_possible_combinations_with_dp_array(
       __lowerCamelCase	:							int	,   __lowerCamelCase	:							list[int]							) -> int:
      if target < 0:
         return 0
      if target == 0:
         return 1
      if dp_array[target] != -1:
         return dp_array[target]
      _UpperCAmelCase       :       str							   =sum(
          count_of_possible_combinations_with_dp_array(target - item	,   __lowerCamelCase							)
          for item in array							)
      _UpperCAmelCase       :       Optional[Any]							   =answer
      return answer

   _UpperCAmelCase       :       int							   =[-1] * (target + 1)
   return count_of_possible_combinations_with_dp_array(__lowerCamelCase	,   __lowerCamelCase							)





def lowerCamelCase__      (						__lowerCamelCase	:							int	,   __lowerCamelCase	:							list[int]	,   __lowerCamelCase	:							int							):







   '''simple docstring'''




   _UpperCAmelCase       :       Tuple							   =[0] * (target + 1)
   _UpperCAmelCase       :       Dict							   =1

   for i in range(1	,   target + 1							):
      for j in range(__lowerCamelCase							):
         if i - array[j] >= 0:
            dp_array[i] += dp_array[i - array[j]]

   return dp_array[target]


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 lowercase							=3
 lowercase							=5
 lowercase							=[1, 2, 5]
 print(combination_sum_iv(n, array, target))

