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ideas.txt
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ideas.txt
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@ -662,3 +662,19 @@ could be possible), then sample randomly generated positions, compute
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probability of hitting a reachable position and from this probability and the
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number of all possible positions estimate the count.
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---
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System that assigns unique 2D coordinates to each chess position so that pseudo
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trees of walking the game tree can be nicely drawn. Make it so that the
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positions similar to each other will be closer together and states that are
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likely to be later in the game will be further down from the top at which the
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initial position is.
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One idea: define position as a "diff" against the initial position, diff is
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basically a board with one additional possible square value: delete (piece on
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a square means place that piece, emptry square means leave the square as is).
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Now the state's vertical position could be determined by the number of non-empty
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squares in the diff so that position closer to initial position will be more on
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the top. The horizontal position of the position will be determined by the
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positions of the non-empty squares and their values -- we have to create a way
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to translate this to a single number (horizontal coordinate), this number should
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spread the states evenly across the width of the graph.
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---
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