A vending machine is described below: "A vending machine accepts $50, $100 and $500. When a deposited amount is less than $500, the machine returns nothing (n). When a total of $500 or more has been deposited, the machine immediately returns the amount of excess of $500. When $500 has been deposited and any excess refunded, the customer can push an orange button (0) and received an orange juice (OJ) or push a red button (R) and receive an apple juice (AJ)." (a) Create a state designation (definition) table. (b) Determine the state table and output table based on (a) for above vending machine