Consider the problem of determining if a string is an integer in the following format: an optional minus sign followed by at least one digit. Design a finite automaton for this problem. Use the label other to indicate input which is not a digit or a minus sign, and any for all input, including a digit or a minus sign. Label your DFA properly, i.e., each node should have a label; clearly indicate the start and accepting states; each arc should have a label and a direction