$(25$ points$)$ Consider the following two Turing machines

$($a$)(10$ points$)$ Please find S$\_($accept $),$S$\_($reject $),$ and S$\_($loop $)$ for the following standard Turing mac

chine.

$($b$)(10$ points$)$ Please find S$\_($accept$),$S$\_($reject$),$ and S$\_($loop $)$ for the following nondeterministic Turing

machine.

$($c$)(5$ points$)$ Please determine whether the above two Turing machines are equivalent to

each other.