Ok, a few weeks ago I posted a few brainteaser problems, and some complained there was "too much math involved".
So I present for your problem-solving pleasure, a non-math brainteaser:
You have just bought a house that has an odd-shaped room with 7 wall surfaces (not counting the floor or ceiling), all painted different colors. Having 7 colors in a single room is very bad feng shui, so you call in a painter to rectify the situation. For good feng shui, any two walls that touch must not be painted the same color. Also, good feng shui suggests (but does not require) that a wall that has windows be painted yellow to match the sunlight the windows bring in. You instruct your painter you would like the one wall that has windows to be painted yellow, and you want the remaining 6 walls alternatively painted red and blue. This will give you excellent feng shui.
You leave for the day to let the painter do his work. When you come home, you find out that the painter had done as you requested, except instead of painting the wall with windows yellow he accidentally painted an adjacent wall yellow.
You'd like to fix the situation yourself by repainting the room to match your original request, but you don't want to incur any more bad feng shui in doing so. Is there some way you can repaint the room using the three colors (red blue, and yellow), one wall at a time, so that at no time during repainting do any two adjacent walls have the same color?
So I present for your problem-solving pleasure, a non-math brainteaser:
You have just bought a house that has an odd-shaped room with 7 wall surfaces (not counting the floor or ceiling), all painted different colors. Having 7 colors in a single room is very bad feng shui, so you call in a painter to rectify the situation. For good feng shui, any two walls that touch must not be painted the same color. Also, good feng shui suggests (but does not require) that a wall that has windows be painted yellow to match the sunlight the windows bring in. You instruct your painter you would like the one wall that has windows to be painted yellow, and you want the remaining 6 walls alternatively painted red and blue. This will give you excellent feng shui.
You leave for the day to let the painter do his work. When you come home, you find out that the painter had done as you requested, except instead of painting the wall with windows yellow he accidentally painted an adjacent wall yellow.
You'd like to fix the situation yourself by repainting the room to match your original request, but you don't want to incur any more bad feng shui in doing so. Is there some way you can repaint the room using the three colors (red blue, and yellow), one wall at a time, so that at no time during repainting do any two adjacent walls have the same color?