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For questions involving cubes in higher dimensions or the hypercube graphs.

6 votes
Accepted

Tilting the $d$-cube to vertically separate its vertices

Robert Israel's answer is best possible. As pointed out there, the problem is equivalent to finding a vector in $\mathbb{R}^d$ with minimal separation $1$ among sums of subsets of entries, and with th …
Yaakov Baruch's user avatar