Write a general set of instructions that will allow us to change any displayed value (from 0 to 9) to any desired value (from 0 to 9) in the least number of steps. For example, if the displayed value is 1 and the desired value is 0, we should move the thumbwheel down once, rather than move it up nine times. The only tricky part is figuring out the general condition that expresses whether it's best to move the thumbwheel up or down to reach the desired value. To make life easier, let's assume that we are allowed to use the conditions "it's best to go up" and/or "it's best to go down", in addition to the conditions mentioned in Question 1. Heres a Hint from my professor: Would we ever decide it's best to go up and later (in solving the same problem) decide it is now better to go down (or vice versa)?