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TOT 2000 Autumn OJ1 numbers in a 4x4 table

Source:

May 10, 2020
Sumcombinatoricstablesquare table

Problem Statement

Each of the 1616 squares in a 4×44 \times 4 table contains a number. For any square, the sum of the numbers in the squares sharing a common side with the chosen square is equal to 11. Determine the sum of all 1616 numbers in the table.
(R Zhenodarov)
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