please solve it

| 4 Black Box Fun We are given a function f : {0,1}" + {0,1} (13) which maps 1 {0,1}" to f(1) = 2.1+ for some unknown a {0,1}" and be {0,1}. The product is defined as 2.1 = (a1 A 21) ... (an Arn) (15) Suggest an algorithm, using two runs of the function f (r) only, that will determine a and b. Do the two runs have to be quantum? (15 points)