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?
So far I have limited h < 4 (to keep test size down).
I find 882 assignments which yield 3-digit palindromes (no leading zero). 68 of these yield 101:minimum; 4 yield 979:maximum. Will expand the test.