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Backing into a problem

Is it possible to back your way into a problem?

Task:

I want to supply an integer and then product an equation for that.

694 = 26^2 + 4^2 + 2

I would like to reduce the equation size to the most efficient possible.

Backing into a problem

Is it possible to back your way into a problem?

Task:

I want to supply an integer and then product produce an equation for that.

694 = 26^2 + 4^2 + 2

I would like to reduce the equation size to the most efficient possible.