The 28th of december 2018 will exactly be the 28th month since I date my fabulous girlfriend, by this time she'll be 18 years old. Here's a puzzle I'll give her this day :
Maximize $\ \ \ \ 2\ \ \ \ 8\ \ \ \ 1\ \ \ \ 2\ \ \ \ 2018 + a\times18$
with two constraints :
- You have to insert exactly $12-a$ symbols within
$+,\times,/$ and $-$
- The final result must contains the digits 2 and 8 at least one time. (so 2328 is a possible maximized value, 2323 isn't)
Maximize means you have to find the greatest number. "$($" and "$)$" (braces // embrace) are allowed in an infinite number of time.
Concatenate numbers is not allowed.
If you guys are just too strong for the classical part, there is a Magical part where you have to insert exactly $12-a$ symbols within :
$+,\times,/,-,!, |n|$ (absolute value of the integer $n$, counted as 1 symbol) and $!!$(double factorial)