The proof for why this is the only answer can easily be re-constructed for alternative basis. The part about how you can only have two digits in the sub-number applies to all basis n > 2. From there, the number is then uniquely determined to be 1 (n-2) 1 (n-2).
If the basis is n = 2, then the proof needs to be modified to state that there can be no more than three digits. But the number 1 0 1 0 still works, and by trial and error it can still be solved to show that there is no other answer.
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If the basis is n = 2, then the proof needs to be modified to state that there can be no more than three digits. But the number 1 0 1 0 still works, and by trial and error it can still be solved to show that there is no other answer.
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