Northwest | No square with a given number in the Northwest Sector touches another square with a given number in the same sector along an edge. (In general we say a square touches another if it is the same square or it shares an edge or corner.)
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North | The sum of the given numbers in the North Sector is 13.
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Northeast | There is a continuous path of touching squares with given numbers from the upper-right corner of the sudoku grid to the lower-left corner of the sudoku grid.
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West | The sum of the given numbers in the West Sector is 27, while their product is 1512.
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Center | Rotational symmetry: if there is a given number in any square of the sudoku grid, there is also a (possibly different) given number in the square 180° opposite.
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East | The product of the given numbers in the East Sector is 288.
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Southwest | Square I1 matches its antipodal square (A9) in the unsolved grid.
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South | The sum of the given numbers in the South Sector is 16.
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Southeast | The given numbers in the Southeast Sector are exactly those in the East Sector.
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A | The third square of Row A (A3) matches its antipodal square (I7) in the unsolved grid.
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B | The given numbers in Row B are exactly those in Column 6.
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C | The leftmost given number in Row C divides all the other given numbers in its sector.
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D | The product of the given numbers in D8 and D9 is 16.
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E | None of the squares with given numbers in Row E are directly above any of the four squares with given numbers in the row below, or directly below any of the squares with given numbers in the row above.
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F | The sum of the given numbers in Row F, which is the same as the sum of the given numbers in Row D, is 20.
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G | Row G, and every other row, has at least three given numbers.
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H | The product of the given numbers in H3 and H4 is 72.
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I | The sum of any given numbers in I1, I2, I3, and I4 is 6 more than the sum of any given numbers in H1 and H2, but 3 less than the sum of any given numbers in Column 5.
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1 | The product of any given numbers in D1, E1, F1, and G1 is 63.
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2 | The product of the given numbers in Column 2 is 18 more than the product of any given numbers in the Northeast Sector.
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3 | The sum of the given numbers in Column 3 is 17.
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4 | The three squares with given numbers in Column 4 are touching.
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5 | There is only one given number in Column 5.
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6 | There is only one square with a given number touching G6.
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7 | None of the four squares with given numbers in Column 7 touch each other.
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8 | There are the same number of squares with given numbers touching A8 as there are touching B8.
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9 | The product of the given numbers in Column 9 is 180.
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