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what would happen if you loaded the boxes slightly differently. if you started with one bead corresponding to each move in each box. if the bead caused the machine to lose you remove only that bead. if the game draws you leave the bead in play if the bead causes a win you put an extra bead in each of the boxes that led to the win. if the box becomes empty you remove the bead that lead to that result from the box before
Ian
on /blog/45
               

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A surprising fact about quadrilaterals
Interesting tautologies

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Log-scaled axes

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PhD thesis, chapter ∞
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Inverting a matrix
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PhD thesis, chapter 1
Gaussian elimination
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