The eta kappa nu (hkn) office sells sodas for 35 cents. suppose they install a soda controller that only takes the following three inputs: nickel, dime, and quarter. after you put in each coin, you push a pushbutton to register the coin. if at least 35 cents has been put in the controller, it will output a soda and proper change (if applicable). draw a finite state machine that describes the behavior of the soda controller. each state will represent how much money has been put in (hint: there will be seven of those states). once enough money has been put in it, the controller will go to a final state where the person will receive a soda and proper change (hint: there are five such final states). from the final state, the next coin that is put in will start the process again, contributing to the next purchase.