1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
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A | |||||||||

B | |||||||||

C | |||||||||

D | |||||||||

E | |||||||||

F | |||||||||

G | |||||||||

H | |||||||||

I |

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. |

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. |

West | The sum of the given numbers in the West Sector is 27, while their product is 1512. |

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. |

East | The product of the given numbers in the East Sector is 288. |

Southwest | Square I1 matches its antipodal square (A9) in the unsolved grid. |

South | The sum of the given numbers in the South Sector is 16. |

Southeast | The given numbers in the Southeast Sector are exactly those in the East Sector. |

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. |

C | The leftmost given number in Row C divides all the other given numbers in its sector. |

D | The product of the given numbers in D8 and D9 is 16. |

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. |

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. |

G | Row G, and every other row, has at least three given numbers. |

H | The product of the given numbers in H3 and H4 is 72. |

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. |

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. |

3 | The sum of the given numbers in Column 3 is 17. |

4 | The three squares with given numbers in Column 4 are touching. |

5 | There is only one given number in Column 5. |

6 | There is only one square with a given number touching G6. |

7 | None of the four squares with given numbers in Column 7 touch each other. |

8 | There are the same number of squares with given numbers touching A8 as there are touching B8. |

9 | The product of the given numbers in Column 9 is 180. |

1 | = | A1 | × | B7 | + | C5 | − | ? |
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2 | = | B2 | × | C5 | + | D2 | − | ? |

3 | = | C3 | × | D7 | + | E3 | − | ? |

4 | = | D4 | × | E9 | + | F3 | − | ? |

5 | = | E5 | × | F4 | + | G7 | − | ? |

6 | = | F6 | × | G1 | + | H5 | − | ? |

7 | = | G7 | × | H9 | + | I5 | − | ? |

8 | = | H8 | × | I3 | + | A3 | − | ? |

9 | = | I9 | × | A9 | + | B1 | − | ? |