**From New Scientist #2654, 3rd May 2008**

I asked Albert and Berkeley to find 3 × 3 magic squares (i.e. containing nine different positive integers with the sum in each row, each column and main diagonal the same). They each found one. I then asked them to replace numbers with letters using A=1, B=2, and so on. Both their magic squares contained the letters M, A, G, I, C, but only in Albert’s case was one of those letters at the centre of the square.

(a) Which other four letters were used in Albert’s square?

(b) Which other four letters were used in Berkeley’s square?

[enigma1492]

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The properties of a 3×3 Magic Square were explored in

Enigma 1680.The following Python program runs in 50ms.

Solution:(a) E K O Q, (b) B H N O.