



"""simple docstring"""


import itertools

def 					_lowerCAmelCase (  lowercase_		):
						return (
						    int(''.join(combination[0:2]		)		) * int(''.join(combination[2:5]		)		)
						    == int(''.join(combination[5:9]		)		)
						) or (
						    int(''.join(combination[0]		)		) * int(''.join(combination[1:5]		)		)
						    == int(''.join(combination[5:9]		)		)
						)

def 					_lowerCAmelCase (  ):
						return sum(
						    {
						        int(''.join(pandigital[5:9]		)		)
						        for pandigital in itertools.permutations('123456789'		)
						        if is_combination_valid(lowercase_		)
						    }		)


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











'''simple docstring'''





import math
from decimal import Decimal, getcontext


def 					UpperCamelCase						(	snake_case = 4_00_00_00 ):




   '''simple docstring'''

   try:
      SCREAMING_SNAKE_CASE__      :					List[Any]							    =			int(snake_case )
   except (TypeError, ValueError):
      raise TypeError('''Parameter n must be int or castable to int.''' )
   if n <= 0:
      raise ValueError('''Parameter n must be greater than or equal to one.''' )
   SCREAMING_SNAKE_CASE__      :					Optional[int]							    =			1_00
   SCREAMING_SNAKE_CASE__      :					int							    =			(Decimal(5 ) ** Decimal(0.5 ) + 1) / Decimal(2 )

   SCREAMING_SNAKE_CASE__      :					int							    =			(math.floor(math.log(n * (phi + 2)						,  snake_case ) - 1 ) // 3) * 3 + 2
   SCREAMING_SNAKE_CASE__      :					int							    =			Decimal(round(phi ** Decimal(index + 1 ) ) ) / (phi + 2)
   SCREAMING_SNAKE_CASE__      :					Any							    =			num // 2
   return int(snake_case )


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

