Let R = (A, B) and S = (A, C), and let r(R) and s(S) be relations.Write expressions in QBE and Datalog for each of the following queries:

a. {< a > | ∃ b (< a, b >∈ r ∧ b = 17)}

b. {< a, b, c > | < a, b >∈ r ∧ < a,c >∈ s}

c. {< a > | ∃ c (< a,c >∈ s ∧ ∃b1, b2 (< a,b1 > ∈ r ∧ < c, b2 > ∈ r ∧ b1 > b2))}