The slide puzzle is cell based, meaning that each cell operates on its own. Each cell has a memory cell that holds a signal strength number, and is able to send out the number to another cell via a connection between them. Each cell is also capable of receiving signal strength signals from other cells. The scrambler part of the slide puzzle is sequential. It also has cells, but not really. Each cell has a xor gate for comparing the number that was just generated by the randomizers, and is able of shifting over to the next cell if the number does not match the number that was generated by the randomizer. That is it.
The goal of the slide puzzle is to get the screen to look like the reset state, which you can look at by pressing the "reset" button in the bottom right corner of the machine front. Each cell can move its number to an empty cell by pressing the buttons on each cell. If scrambling is desired, you need to press the "scramble" button in the bottom right corner of the machine front. There is also a diagram of what each button on each cell does in the bottom right corner of the machine front.
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