b$)$ For a tape containing an integer $k$ in unary form, construct a TM to replace its input by

$f(k)=k+4$

c$)$ For a tape containing an integers i and $j$ in unary form separated by a blank b$,$ construct a

TM to replace its input by $f(i,j)=i+j$

d$)$ Construct a TM to recognise inputs over the alphabet $\{a,b\}$ containing the substring bab

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