Chessboard of averages

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Susam Pal

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Aug 8, 2011, 2:06:41 AM8/8/11
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Each square of a chessboard contains a number that is equal to the
average of the numbers in the squares adjacent to it. What is the
maximum possible difference between the maximum number and the minimum
number in the chessboard?

Source: http://cotpi.com/p/16/
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