Question $3[16$ points$]$

Design a sequential circuit with two JK flip$-$flops A and $B$ and one input $x$ : When $x=0,$ the circuit goes through the state transitions $0010110100.$ When $x=1,$ both A and $B$ invert. Please provide state diagram, state table, and input equations. $.($note: you do not need to draw a circuit diagram$)$