C++ or Java (University Program)

It is necessary to simulate a four-lane intersection regulated by traffic lights (an example in the picture). Input data: speed of cars (all the same), duration of traffic light phases, traffic flow. Cars must not only go straight, but also turn. We can do without a reversal. The task set in this program: to trace the dependence of the length of the traffic jam on the input data. The presence of graphics is desirable.