help please urgent

1. A state diagram of mod-6 synchronous counter with arbitrary counting sequence is given in Fig. 1. (a) Please design this synchronous by T Flip-flops. Your answer should show the truth table including present state, next state, and Flip-flop inputs (note: use don't care for the unused states (1) and (2)), the K-map, and the circuit. (20%) (b) Please demonstrates the unused states (1) and (2) transiting to which states (note: the detail analyses should be given in your answer). (8%)