C$\mathrm{.}10)$ Given the following present$-$state $/$ next$-$state table,

P$.$S$.$ In N$.$S Out

Q$1$ Q$0$ X Q$1+$ Q$0+$ Y

$000000$

$001100$

$010101$

$011001$

$100011$

$101111$

$110110$

$111010$

a$)$ Is the state machine a Moore or a Mealy state machine?

b$)$ Complete the following state graph showing the behavior of this state machine.