Magic square

This puzzle has the numbers from 1 to 81. Per Row and Column the sum is equal. The sum is always:
(1 + 81) / 2 * 9 = 369.

(1 + 81) / 2 = 41 is the average value of a position in the puzzle. In the gray boxes, at each row and column, the sum of the empty positions of that row and column is given.

In this example, the sum of the three empty positions in row 3: 171. At the top the available numbers are printed.



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Magic square



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