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Not so trivial (Posted on 2016-03-18)

In a certain chess position, each row and each column contains an odd number of pieces.

Prove that the total number of pieces on black squares is an even number.

Source: Proizvolov, “Problems Teaching Us How to Think".

See The Solution Submitted by Ady TZIDON

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re(2): Parity Solution @Brian

Comment 6 of 6 |

(In reply to re: Parity Solution @Brian by Ady TZIDON)

Done. I did not think to cross-reference the official standard. As soon as I saw it was a parity problem my focus was on the three kinds of parity (rows, columns, tiled board).

Posted by Brian Smith on 2016-03-24 11:44:30

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