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