$10.$Figure $1$ is a flow table, and Figure $2$ is its Karnaugh state map. Give a Karnaugh flow map which achieves the minimal worst$-$case transition time, the minimal individual transition times. It is more important to minimize worst$-$case transition time than the individual transition times.

$(15$pts$.)$

Do not change the flow table or state assignment, and do not allow any critical races. Use correct Karnaugh flow map notation. In other words:

a$.$ Allow no critical races;

b$.$ Minimize the worst$-$case transition time;

c$.$ Without increasing the worst$-$case transition time, reduce individual transition times as much as possible.

Figure $2$

Figure $1$