Coffee Assignment: Make a DFA for the following model of a coffee vending machine. Then write a Java program that simulates it, using the DFA transition diagram directly in the code. See the vending machine example.

The machine has three buttons: the cup button, the style button, and the fill button. It has light indicators to tell what the currently selected style and cup attributes are.

The style button cycles between Americans, Espresso, and Cappuccino.

The cup button toggles between DispenseCup and NoCupPlease.

When the fill button is pressed, possibly a cup is dropped into position under the nozzle and then a stream of the current style coffee is dispensed.