perplexus.info :: Just Math : Array Arrangement

Array Arrangement (Posted on 2013-12-19)

Arrange the digits from 1 to 9 in a 3 x 3 array in such a way that the sum of a number's immediate neighbors (including diagonals) is a multiple of that number. (Disregard rotations and reflections.)

Submitted by K Sengupta

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Solution: (Hide)

Disregarding rotations and reflections, the only solution is:
+---+---+---+ | 2 | 6 | 5 | +---+---+---+ | 7 | 3 | 1 | +---+---+---+ | 9 | 8 | 4 | +---+---+---+
For an explanation, refer to the solution submitted by Charlie in the comments section.

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

	Subject	Author	Date
	computer solution	Charlie	2013-12-19 19:07:41

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