Enigmatics

Enigma 1463

Posted on: Tuesday 11/27, 2007;  8:35 PM

Because this problem is so easy to solve I don't bother to make use of symmetry to simplify the search for a solution.

Generate a list of permutations of the digits 1, 2, ..., 9.

"BE3405184509_1.gif"

"BE3405184509_2.gif"

Arrange each of these sets of 9 digits into a 3 by 3 array and generate the corresponding 12 3-digit numbers by reading rows and columns both forwards and backwards.

"BE3405184509_3.gif"

"BE3405184509_4.gif"

Select the cases which satisfy the required divisibility conditions.

"BE3405184509_5.gif"

"BE3405184509_6.gif"

Extract the minimum and maximum 3-digit numbers from these (symmetrically related) results.

"BE3405184509_7.gif"

"BE3405184509_8.gif"

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