The traffic department is trying out a new system of traffic lights based on a busy vs. quiet intersection traffic model. We have to design a digital circuit which operates this new type of traffic light. Traffic States for Busy Times Red Green Red Yellow Red Red Green Red Yellow Red Red Red Traffic States for Quiet Times Red Green Red Yellow Green Red Yellow Red There are six lights to operate. The Red, Yellow, and Green lights in the North-South direction will be designated as R1, Y1, G1. Similarly, the lights in the East-West direction will be called R2, Y2, and G2. When the digital signals are 1 they turn their respective lights on, otherwise the lights are off. An additional input signal will designate whether it is a busy or quiet time. A digital clock signal will be supplied and at each clock pulse the lights should change according to the schedule given. The design of the circuit that produces the clock pulses at appropriate times will not be considered here. Looking at the original specification, we see that there are 6 states (light patterns) for the Busy period and 4 states for the Quiet period . Two states (3 and 6) have exactly the same traffic light outputs. Could they be merged as one state

Write a program that displays the following menu: geometry calculator 1. calculate the area of a circle 2. calculate the area of a rectangle 3. calculate the area of a triangle 4. quit enter your choice (1-4): if the user enters 1, the program should ask for the radius of the circle and then display its area. use the following formula: area = ď€(the square of r) use 3.14159 for ď€ and the radius of the circle for r. if the user enters 2, the program should ask for the length and width of the rectangle and then display the rectangle’s area. use the following formula: area = length * width if the user enters 3, the program should ask for the length of the triangle’s base and its height, and then display its area. use the following formula: area = base * height * .5 if the user enters 4, the program should end. input validation: display an error message if the user enters a number outside the range of 1 through 4 when selecting an item from the menu. do not accept negative values for the circle’s radius, the rectangle’s length or width, or the triangle’s base or height. note: if the user enters an improper menu choice (1-4), the program prints "the valid choices are 1 through 4. run the program again and select one of those." if the user enters a negative radius, the program prints "the radius can not be less than zero." if the user enters a negative value for height or base, the program prints "only enter positive values for base and height."