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    I suspect part of what's confusing people in this kata description is "Sometimes a line may be valid in one direction but not the other. Such a line is still considered valid."

    I think, but am not sure, that you mean "Sometimes a line may be valid when starting from one endpoint, but not the other. Such a line is still considered valid". I think you do not mean something like "Sometimes a line may be valid if you take one turning at a +, but not a different turning at a +. Such a line is still considered valid". (Viewed narrowly, I think that'd be a reasonable interpretation, but it's hard to make sense of given the other rules.)

    Right?