Write a program that prompts the user to enter the center x-, y-coordinates, width, and height of two rectangles and determines whether the second rectangle is inside the first or overlaps with the first, as shown in Figure 3.9. Test your program to cover all cases.

Here are the sample runs:

wl wl w2 w2 (xl, yl) h1 (x1, yl) h2 (x2, y2) h2 (2, 2) h1 (a) (b) Enter rl's center x-, y-coordinates, width, and height: 2.5 4 2.5 43 -Enter Enter r2's center x-, y-coordinates, width, and height: 1.5 5 0.5 3 JEnter r2 is inside rl Enter rl's center x-, y-coordinates, width, and height: 1 2 3 5.5 -Enter Enter r2's center x-, y-coordinates, width, and height: 3 4 4.5 5 r2 overlaps r1 JEnter Enter rl's center x-, y-coordinates, width, and height: 1 2 3 3 -Erter Enter r2's center x-, y-coordinates, width, and height: 40 45 3 2 r2 does not overlap r1 JEnter