Contents:

1. (6 points)
   
   For this problem, you can use Palgo to do the work for you if you'd like. Though on a test, you would certainly be expected to do such a problem on your own, so please make sure that you fully understand the answer.
   1. What value or sequence of values will be printed when running the following segment of code?

         val = 3
         while val < 6
           print(val)
           val = val + 1
         end
      

   2. What value or sequence of values will be printed when running the following segment of code?

         val = 11
         while val >= 7
           val = val -1
           print(val)
         end
      

2. (4 points)
   Modify the PlotPoint subroutine in the following Palgo program, so that it only plots a point in the case that x>2*y.

   define PlotPoint(x,y)
     draw(x,y)
   end
   
   /* include, but do not change anything below this line */
   color("red")
   repeat 1000 times
     PlotPoint(random(20),random(20))
     wait(100)
   end
   
   

3. (5 points)
   Modify the PlotPoint subroutine in the following Palgo program, so that it always draws the point x,y, however chooses the color based on the following rules:
   blue: whenever x <= y AND x <= (19-y)
   red: whenever y < x <= (19-y)
   green: whenever y < x AND (19-y) < x
   yellow: whenever (19-y) < x <= y

   define PlotPoint(x,y)
     draw(x,y)
   end
   
   /* include, but do not change anything below this line */
   color("red")
   repeat 1000 times
     PlotPoint(random(20),random(20))
     wait(100)
   end
   
   

   A typical result of running such a program is the following. Please be careful in handling the boundaries between colors precisely.
   

4. (5 points)
   Write a Palgo program which draws a red X across the entire grid, as shown here:
   

    define rectangle(leftX,topY,width,height)
        ...
    end

Once you have tested this routine to see that it works, then you can modify the "Random Colored Dots" program to develop a random colored rectangles program, as described in the "Deeper Investigation" section of Lab 8 of the Meyer text.