can anyone help me with this please.

*** Design a finite state machine for a traffic light at the intersection of north-south traffic and eastwest traffic. The light can be red, green or yellow. Assume a 30 second clock. Assume that the light will change only if a car is coming in the other direction. If cars are in both north-south and eastwest, the light will change from one direction to the other.

1. What are the machine states?

2. What are the inputs?

3. What are the outputs?

4. Draw state table

5. Draw state diagram

6. Develop the circuit for the NEXT STATE using combinational logic (can use a MUX).

Please help me.