(a) [6 points] Consider the following instance of a database containing transactions of items bought by customers at a grocery store. Each item in a transaction is given as a pair item_brand_name - item category, e.g., B. - 17. (There are 6 item categories, 11, 12, 13, 14, 15, and 16 and 8 brands, B1, B2, B3, B4, B5, B6, B, and Bg) TID Items Bought T1 {B - 11, B2-12, B3 - 13, B4 - 1} T2 {B4 - 13, B3-12, B5 - 15, B6- 16, B7-1} T3 {B3-15, B3-12, B7-14, B6- 16} T4 {B7-14, B2 - 12, B3 - 13} Let minimum support be 60% and minimum confidence be 80% and consider the following rule template: {item1, itemiz, ..., itemin} => {item 1, item;2, item;n} [s, c), where an item is one of {11, 12, 13, 14, 15, 16}, i.e., the brand name is not taken into consideration, and s and c are the support and the confidence of the rule, respectively. List all frequent itemsets of size 3 where each item in the itemset is one of {I1, 12, 13, 14, 15, 16}, and all the strong association rules (with their support s and confidence c ) you can derive from these itemsets