There are this kind of problems where, given a certain amount of the same numbers, it's needed to manipulate them with functions or operators in a way to get a certain result. It's allowed to glue numbers together to form a number, as well as putting a period to create a decimal.
Example: Manipulate three numbers $3$ to get $8$. The answer is $\left(3!\div 3\right)^3=8$.
I wonder if there is a certain algorithm for this kind of problems to find out the least numbers required to get the certain result, or, even better, the strategy to get that result.