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 Grid and Equal Subgrids (Posted on 2009-08-14)
Substitute each of the capital letters in bold in this 3x3 grid by a different digit from 1 to 9 such that the sum of digits in each of the four 2x2 subgrids is equal to 9*E.

A   B   C
D   E   F
G   H   I

What will be the arrangement(s) (disregarding reflections and rotations), if keeping all the other conditions unchanged, the sum of digits in each of the four 2x2 subgrids is equal to 7*E?

 Submitted by K Sengupta No Rating Solution: (Hide) There are two possible arrangements (disregarding the rotations/reflections) for the first part. Disregarding the rotations/reflections, there is only one possible arrangement corresponding to the second part. For an explanation, refer to the solution submitted by Charlie in this location.

 Subject Author Date re: gridy totals solved brianjn 2009-08-14 21:38:46 computer solution Charlie 2009-08-14 15:34:21 variant ed bottemiller 2009-08-14 13:19:28 gridy totals solved ed bottemiller 2009-08-14 12:59:05

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