Question

In pseudocode for AP Computer Science, the native input procedure only states that it takes user input. The type for this procedure is not specified, so the user can choose whether they enter a:

a) String
b) Number
c) Boolean
d) Any of the above

Answer 1

To construct an NFA for L where k is a multiple of 2 or 3, we build a state machine with two looping paths starting from an initial state, separating the computing of lengths by multiples of 2 and 3, and leading to accepting states for valid strings.

Step-by-step explanation:

To design an NFA for the language L = {0k where k is a multiple of 2 or 3}, we need a nondeterministic finite automaton that accepts strings of zeros with lengths that are multiples of either 2 or 3. One possible design is to start with an initial state q0, which transitions to two separate paths - one for multiples of 2 and another for multiples of 3.

The NFA would work as follows:From state q0, on reading a '0', we nondeterministically move to state q1 (for tracking multiples of 2) and q2 (for tracking multiples of 3).The NFA has a structure with two loops, one accepting strings with lengths that are multiples of 2 and another accepting lengths that are multiples of 3. The final NFA comprises five states (including the initial state) and it uses nondeterminism to allow for the input string to be processed by either loop. It's important to note that in the actual implementation, q3 and state q5 must be accepting states.