$2.$ Illustrate the working of the following Turing Machines with the aid of suitable

diagrams. Also, comment on their complexity $(15$ marks$)$

$($i$)$ Multi$-$tapevsSingletapeTuringMachines.

$($ii$)$ Deterministic vs Non$-$deterministic Turing Machines.

$($iii$)$ The Universal Turing Machine.