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How close are our faces?
Each natural number \$n\$ has 10 faces: its decimal representations in bases \$1\$ through to \$10\$. For example, the 10 faces of \$8\$ are \$[11111111, 1000, 22, 20, 13, 12, 11, 10, 8, 8]\$, and the 10 faces of \$14\$ are \$[11111111111111, 1110, 112, 32, 24, 22, 20, 1...