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Palindromic and Tautonymic III (Posted on 2010-03-23) 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 + (DE)/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?

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

Comments: ( Back to comment list | You must be logged in to post comments.)
prelim | Comment 4 of 11 |

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.


  Posted by ed bottemiller on 2010-03-23 14:01:04
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