For the sequence detector used to detect three consecutive ones $($i$.$e$.,111)$ using a Mealy FSM $($review Homework #$11),$ implement the design using one$-$hot encoding. How many flip$-$flops do you need in this case? Give the state assignment table, logic equations, and logic circuit. Label your logic circuit diagram appropriately with the state variables and show the clock and resetllines. Draw your logic circuit diagram