I came across the numberdrum problem in the Evening Standard, where the objective is to obtain a number in the centre using each of the numbers in the outer ring exactly once, along with the four basic arithmetic operations.
Is there a way to cast this problem mathematically? I was thinking about an optimisation problem, but here we need to optimise over the operators in a way, which leads to a clumsy optimisation. Is there a neater method to solve this problem and find if its infeasible or not? Or find the closest value to the central number you can reach by using basic arithmetic operations on the outer numbers?