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    $\begingroup$ As you drew it, connecting the blue dots necessarily disconnects the purple dots since the green line takes up the space around the turquoise dot. $\endgroup$
    – PattuX
    Commented Jun 8, 2023 at 23:22
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    $\begingroup$ @PattuX The blue path is strictly along the top and right edges. $\endgroup$ Commented Jun 9, 2023 at 1:42