Each of the capital letters in bold in this 3x3 grid is to be substituted by a different digit from 1 to 9 such that :

• Each of A, C, G and I is even, and:
• The sum of the digits in each of the four 2x2 subgrids is equal.

A   B   C
D   E   F
G   H   I

Disregarding the rotations and reflections, how many distinct solutions are there?

(In reply to computer solution by Daniel)

You forgot to make the corners even.
Looking at your list I see only
 2  5  4
 9  3  7
 6  1  8

Which does have equal sums of 19.

Edited on August 18, 2009, 2:06 pm

Posted by Jer on 2009-08-18 14:05:40