Question about Microsoft Windows XP Professional With Servise Pack 2 (e8503040) for PC

# A rectangle with sides parallel to the x-y axes and its left-lower corner at (0, 0) is being painted. The rectangle may be thought of as a flat-screen display with almost infinite resolution; initially the entire rectangle is black. Two numbers are given 0 < h, v < 1 and then A vertical line is drawn dividing the horizontal sides of the rectangle in proportion h:1-h from the left. A horizontal line is drawn dividing the vertical sides of the rectangles in proportion v:1-v from the bottom up. These two lines divide the rectangle into four smaller rectangles. The upper left and the lower right sub-rectangles remain intact. The color of the other two rectangles is flipped (from black to white or from white to black) and now each of them is subject to the operation just performed on the bigger rectangle. This process continues (in principle) forever. Given a point in the original rectangle but not on the boundary of any rectangle that turns up in the process of painting, determine the color of the point. For example, you are told the resolution of the screen is 81x32, h=0.333333333333 and v=0.5 (These values must be asked for by your program). You are then asked to compute the colour of several points. The answer for each is displayed in the table below: x y Answer 16 30 black 16 25 black 16 12.0001 white 16 11.9999 black 16 7.987654321 white 16 7.0123456789 white

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It would be "cheating" for anybody to do your "homework" from your computer-mathematics class, unless you submit your answer, saying that an EXPERT on FIXYA did all the work on your behalf.

Posted on Jun 04, 2009

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