$($give a hand written solution for the following question$)$

$1.$ Design a Finite State Machine for a system where we want to allow a person into an

amusement park only once. Imagine there is an app in the person$$s phone and it receives

an input A that is $1$ if the person is inside the park and $0$ if the person is not inside the park.

Hint: Let there be one state called Init and if the input A is $1,$ the FSM should go to

InsidePark state. As with problem $1,$ design the combinational logic input to the D and En

inputs of the registers $($keeping track of the state$).$ Show all work.