$(15$ points$)$ Simulate the Turing Machine below on each input. What is the result?

a$.$ Input: $lon$

Accept in $q_0$

Reject in $q_1$

Reject in $q_2$

Loop forever between $q_0$ and $q_1$

Loop forever between $q_1$ and $q_2$

None of the above

b$.$ Input: aab

Accept in $q_0$

Reject in $q_1$

Reject in $q_2$

Loop forever between $q_0$ and $q_1$

Loop forever between $q_1$ and $q_2$

None of the above

c$.$ Input: a

Accept in $q_0$

Reject in $q_1$

Reject in $q_2$

Loop forever between $q_0$ and $q_1$

Loop forever between $q_1$ and $q_2$

None of the above