Make a list of distinct positive integers that are obtained by assigning a different base ten digit from 1 to 9 to each of the capital letters in this expression.
(A+B)*C + (D–E)/F + (GH)*I
What are the respective minimum and maximum positive palindromes from amongst the elements that correspond to the foregoing list?
As a bonus, what are the respective minimum and maximum positive tautonymic numbers
that are included in the list? How about the respective maximum and minimum prime numbers?
On my earlier posting I had assumed that each of the three triplets had to be positive, but clearly only the entire expression must be positive. I found 3624 combinations which yielded palindromes, but this did not exclude the duplication of interchanging A and B values which led to the same totals.
The lowest palindrome I found was 33. For example, this was found when assigning 4 5 3 2 8 6 1 9 7 to the letters. There were a total of 36 assignments yielding 33 (counting each of the a-b b-a cases).
The highest I found was 327680. I found only one case (or two by swap of a-b) for this 6 7 3 9 1 2 4 8 5, which was really an outlier, since the next highest value was only 131131.
Probably these results have already been posted, so I'll read them. Perhaps K.S. will want to invent a "cataclysmic number" for the next puzzle.
e a,br yielding this valuedmany weretar