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Palindromic and Tautonymic II (Posted on 2009-12-20) Difficulty: 3 of 5
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 + (C-D)E + (F-G)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 negative tautonymic numbers?

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

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Nine-variable results Comment 4 of 4 |

OK, I ran the numbers for the 9-variable equation (A-B)^C + (D-E)^F + (G-H)^I and got the following results:

Palindromes:  Highest was 5,764,675 = (1-6)^3 + (2-9)^8 + (4-5)^7; lowest was -97,097 = (1-4)^6 + (2-5)^9 + (3-8)^7.

Tautonyms:  Highest was only 7272 = (2-4)^9 + (7-1)^5 + (8-6)^3; lowest was only -7272 = (1-7)^5 + (2-4)^3 + (8-6)^9.  Of note, no results came up for -1010 this time, although I did find that -1919 = (1-4)^7 + (3-8)^2 + (9-6)^5 -- so a less negative result is still possible.


  Posted by Jim Keneipp on 2009-12-21 04:22:40
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