The behavior of a synchronous sequential circuit with one input x and one output z is given by the state diagram below. Note that each state transition is marked with $\backslash (\backslash$mathrm$\{$x$\}/\backslash$mathrm$\{$z$\}\backslash ).$

An encoding is provided to you.

a$.$ Is this a Mealy or a Moore machine?

b$.$ Give the state transition and output table in terms of the state names $("$A$","$B$","$C$","$D$","$E$","$F$").$

c$.$ Draw the circuit schematic using MUXes and D$-$flip$-$Flops without revealing the state encoding. You should denote constant values as state names instead of integers. Also, you will need the following $6-$input MUX with the state names listed as the possible select inputs.