PROBLEM $4$

Here is a description of a Turing machine. The input alphabet is $\{a,b\}.$ The state set is:

$\{q_0,q_a,q_b,q_{ca},q_{cb},q_{\text{l}\text{e}\text{f}\text{t}},q_{\text{a}\text{c}\text{c}},q_{\text{r}\text{e}\text{j}}\}$

The transition function is given in the table below:

$\backslash$table$[[,q_0,q_a,q_b,q_{ca},q_{cb},q_{\text{l}\text{e}\text{f}\text{t}}$