For the n dimensional case it would be better to say that x and y lie on opposite vertices of the n-hypercuboid such that each edge is parallel to a coordinate axis.
nice trick :)
Given an unsigned integer x, find the largest y by rearranging the bits in x
Back to basics 8 - Matrix Diagonals
subtract central cross
I Plead the Fifth
Knights and Knaves (part 1)
fly fly away
Capture the flag(s)
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