Q$2$: $(7$ Marks$)$ consider the following table which shows a set of transactions and their items $A,B,C,$

$D,$ and $E$ in a vertical format.

a$)$ Convert the table into a horizontal table

b$)$ Use the Apriori algorithm to fill $C2,L2,C3,$ and $L3$ lists and their support, with minimum

support $2.$

C$)$ Create all rules and their $$onfidences from $\{B,C\}.$

$QA,BC.L(1)C=\frac{xwy}{x}=\frac{2}{2}=1$

$(2)\frac{AC}{B,D},(2)C=\frac{5}{2}=2\mathrm{.}5Y$

$(2)B,D,FCx3,c=\frac{1}{1}=1$

${?}_{a}Wo{S}^{{}_D})$ If any exists, write at least one closed frequent itemset and one maximal frequent itemset.