


def     __lowerCAmelCase						(							snake_case	:    Any )       ->							bool:
   return str(_lowercase ) == str(_lowercase )[::-1]



def     __lowerCAmelCase						(							snake_case	:    List[str] )       ->							int:
   return int(_lowercase ) + int(str(_lowercase )[::-1] )



def     __lowerCAmelCase						(							snake_case	:    Any = 10000 )       ->							int:
   __lowerCamelCase:				List[str]     =	[]
   for num in range(1						,      _lowercase ):
      __lowerCamelCase:				Tuple     =	0
      __lowerCamelCase:				Tuple     =	num
      while iterations < 50:
         __lowerCamelCase:				Union[str, Any]     =	sum_reverse(_lowercase )
         iterations += 1
         if is_palindrome(_lowercase ):
            break
      else:
         lychrel_nums.append(_lowercase )
   return len(_lowercase )


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






import math



def     __lowerCAmelCase						(							snake_case	:    int )       ->							bool:
   __lowerCamelCase:				Dict     =	math.loga(math.sqrt(4 * positive_integer + 1 ) / 2 + 1 / 2 )

   return exponent == int(snake_case )



def     __lowerCAmelCase						(							snake_case	:    float = 1 / 12345 )       ->							int:
   __lowerCamelCase:				str     =	0
   __lowerCamelCase:				Optional[Any]     =	0

   __lowerCamelCase:				str     =	3
   while True:
      __lowerCamelCase:				int     =	(integer**2 - 1) / 4
      # if candidate is an integer, then there is a partition for k
      if partition_candidate == int(snake_case ):
         __lowerCamelCase:				Union[str, Any]     =	int(snake_case )
         total_partitions += 1
         if check_partition_perfect(snake_case ):
            perfect_partitions += 1
      if perfect_partitions > 0:
         if perfect_partitions / total_partitions < max_proportion:
            return int(snake_case )
      integer += 1


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


