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'18 Hole Light Golf' printed from http://nrich.maths.org/
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Try to switch off all the lights. Plan ahead and you will often beat the par score set by the computer.
Do you think all possible light patterns can be reached? Would you need to check all of them? Can you think of a small set of patterns which, if they were all reachable, would mean that all patterns were reachable?
Another version of this game is 9 Hole Light Golf, which can be found here