A sequential circuit has two flip-flops (A and B), one input (X), and one output (Y). When X = 0, the state of the circuit remains the same. When X = 1, the circuit goes through the state transitions from 00 to 10 to 11 to 01, back to 00, and then repeats. Output Y = 1, when AB = 01. Determine the minimized D FF input equations and output equation.