### Nomenclature, and data structures

First, I should correct my terminology. All computers are binary these days; Setun was a one-shot, and the days of BCD-based computers are long gone.

This is the case of

Of course, n-digit binary numbers map exactly to the elements of the power set of a set of n elements, so we can represent our generated combinations (

Maybe we can use a trick: consider a number

This is the case of

**noTwos**, and we've already dealt with the one case where a 3 can appear, so all the digits are either zero or one. So there's an obvious correspondence between these decimal palindromes and binary palindromes, pairing palindromes whose printable representations in their respective bases are equal.Of course, n-digit binary numbers map exactly to the elements of the power set of a set of n elements, so we can represent our generated combinations (

*vide*the function**choices**) as binary numbers. This is pretty tempting as an alternative to a**[Int]**, but I don't want to iterate over all those bits to see which are set. After all, if we're just doing half of the palindrome, and we know the most significant digit has to be 1, that leaves at most three bits on.Maybe we can use a trick: consider a number

**n**of a t…