Let M be a Turing machine that is defined by:
δ
a
b
<>
#
q0 | q1,b,S | q1,a,S | q0,<>,R | q2,#,S
q1 | q0,a,R | q0,b,R | q1,<>,R | q0,#,R
q2 | - | - | - | -
1. Trace the computation of M starting from the configuration (q0,<> aaabbba).
2. Describe informally what M does when it starts from state q0 and the read-write head points to any cell on the tape.