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Products that do what Lights Out: my 2D Rubik's Cube-like Game does

"Lights Out" is a mathematical puzzle that lives on an grid where each cell of the grid is one of two colors: either red or white. The goal is to eventually get all the cells in the grid to be red. What's the catch? Clicking a cell will not only flip its color, but also that of all cells sharing the same row or column as it. To me, this game feels like playing with a Rubik's cube --- every time you think you are fixing one cell, you mess up its neighbors! There are many ways to arrive at a solution... some mathematical (linear algebra, or combinatorics), others more logical,... and yet…

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