perplexus.info :: Numbers : Even Corners and Equal Subgrids

Even Corners and Equal Subgrids (Posted on 2009-08-18)

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?

Submitted by K Sengupta

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Solution: (Hide)

Refer to the analytical solution submitted by Harry in this location, and the computer program aided solution submitted by Charlie in this location.

Daniel has extended the problem by disregarding the first condition, and all possible solutions corresponding to the foregoing is provided in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Analytical Solution	Harry	2009-08-18 22:32:50
re(2): computer solution	Charlie	2009-08-18 16:33:30
computer solution	Charlie	2009-08-18 16:31:33
re: computer solution	Jer	2009-08-18 14:05:40
computer solution	Daniel	2009-08-18 13:07:23

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