This contains a 1 if you need to press the button and a 0 otherwise. The suppose you have a solution vector $A$. This method is generalizable and represents the whole puzzle. Each row will contain 1s if pressing that button changes the corresponding button. See this math.SE article.ĭraw up a matrix with rows and columns equal to the number of available buttons in the puzzle. The good news is that this can be done in the usual way. You are basically trying to solve a linear algebra question, but with XOR instead of addition. I hope some smart people here can enlighten me. So, my question is this: How should I think about these puzzles? Do I have to discover a rule for each and every one of them? If so, how? I am just clueless. In some of them the board is not even a square. There are levels that are much more complicated than this one. If you try the "chase the lights" method here, your plan will be put to a stop because of the holes. ![]() But, how would we approach something like this: We can solve every puzzle(if a solution exists.). You can read about how it works in one of the links below. The method is called: "Chase the lights". This puzzle would take hours without a method guiding us. Just click the middle square and every square turns white. Your task is to make every unit square white. ![]() ![]() Clicking on a unit square changes the color of that square and all connected squares. There is a 5x5 square (usually) and every unit square is either "on" or "off" indicated by two colors (usually white and black/red). I am new to this holy land so if my question is not the kind you people like to solve, I apologize.Īs some of you may know, there is a puzzle named: "lights out" based on a simple set of rules.
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