Help me how to do this pls$.$ Attached below is the example needed to be used and modified thanks!

Problem $3$

a$.$ Design a TM M that accepts

$L=\{a^{n}c{b}^n$:$n1\}.$ Requirement: Do this by modifying Example $2$ from the Chap

$9\mathrm{.}1$ Part $2$ Power Point slides. You must use the zig$-$zag method. Give a high level English description of how you modified Example $2$ and justify why it should work.

b$.$ Use your design in Part a to create a TM M in JFLAP that accepts $L=\{a^n{c}^n$:$n1\}$

c$.$ Use JFLAP to test the strings:

aacbb, aaacbbb, aaccbb, aaaabbbb, abbca, aacbbb, aaacbb, c$,a^{5}c{b}^5$

d$.$ Give an instantaneous description trace of $M$ with input $w=$aacbb that shows that winL$(M).$ Do not use JFLAP to create the instantaneous description trace of $M.$

Submit the TM design and justification and the JFLAP diagram for Turing Machine M$.$ Submit the JFLAP test case. Submit the typed instantaneous description trace of M$.$