Given the lattice structure shown below and the transactions identify $2$ examples of the following nodes:

$-$ the node is a maximal frequent itemset: $(2$ pts$)$

$-$ the node is a closed frequent itemset: $(2$ pts$)$

$-$ the node is frequent but neither maximal nor closed: $(2$ pts$)$

$-$ the node is infrequent: $(2$ pts$)$