Given the state diagram below, if inputs A and $B$ go through a sequence of $11,01,11,10,00,01,11,10$ then the next state output $($Z$)$ will be $00010010.$

What can the initial state be$?$

Format: $A\frac{B}{Z}.Z$ is the output. $x$ in the figure means that it can be $1$ or $0.$

Please choose one:

a$)000,01,11$

b$)00,10,11$

c$)000,01,10$