You are designing a highway bridge. In particular you aretrying to determine how to put the road surface on the bridge. Youlive in an area where the maximum summertime temperature is 40degrees centigrade and the minimum winter temperature is -30degrees centigrade. The coefficient of linear expansion,α, measures the fractional change in length per unit change intemperature (fractional change = change in length per unit length).A coefficient of linear expansion will be no larger than 0.0001.Consider a section of road surface with length L1 (or L2) attemperature T. If the temperature T increases by?T the length of the section of road surface withL1=3 will increase by 3?L to L1+3?L. If the temperature decreases by?T a section of road surface with length L2=5will decrease in length by 5?L toL2-5?L. The amount the length changes(per unit length of road surface L=1) by is ?L= ?Tα . You are to write a program to determine two things, the maximum size of the space between road sections and theamount of space to leave between the sections of road surface onthe day they are installed. At the maximum temperature there should be no space between the sections of road surface. You must leave enough room between sections of road surface for the road surface to expand to the length it would haveat the maximum temperature of 40 degrees. The user will provide the temperature on the day the installation takes place, the length of each section of road surface to be installed (at the temperature when the installation occurs) and the coefficient of linear expansion of the material being used in the road surface.