2015 table

Every square of a 2015 × 2015 2015 \times 2015 table contains either 1 or 1 -1 . It is known that the sum of the numbers in every 2 × 2 2\times2 square is equal to zero. What is the maximum sum of all the digits in the table?


This is a problem similar to one on the Mathematics Challenge 2015 held by the university of Lincoln.


The answer is 2015.

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