Construct a Turing machine with input alphabet {a,b} to operate the following operation. Note: tape head is scanning the left end marker in state t whenever computation terminates.

a.) Move the input one space to the right. Input configuration (s,|-u|_|^w, 0), result (t,|-|_|u|_|^w, 0)

b.) Concatenate a copy of the reversed input string to the input. Input configuration (s,|-u|_|^w,0), result (t, |-urev(u)|_|^w,0).