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Daily Sudoku Answer 



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Dec 16 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R8C9 can only be <9>

R1C2 is the only square in row 1 that can be <9>

R2C1 is the only square in row 2 that can be <4>

R3C6 is the only square in row 3 that can be <4>

R3C8 is the only square in row 3 that can be <5>

R6C9 is the only square in row 6 that can be <4>

R7C2 is the only square in row 7 that can be <4>

R7C3 is the only square in row 7 that can be <5>

R4C1 is the only square in row 4 that can be <5>

R9C9 is the only square in row 9 that can be <5>

Intersection of row 7 with block 8. The value <7> only appears in one or more of squares R7C4, R7C5 and R7C6 of row 7. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.

R8C5 - removing <7> from <267> leaving <26>

Intersection of column 6 with block 8. The value <3> only appears in one or more of squares R7C6, R8C6 and R9C6 of column 6. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.

R7C4 - removing <3> from <237> leaving <27>

R9C4 - removing <3> from <2369> leaving <269>

R3C4 is the only square in column 4 that can be <3>

Intersection of row 3 with block 1. The value <7> only appears in one or more of squares R3C1, R3C2 and R3C3 of row 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R1C1 - removing <7> from <1267> leaving <126>

R2C3 - removing <7> from <267> leaving <26>

Intersection of column 8 with block 9. The value <3> only appears in one or more of squares R7C8, R8C8 and R9C8 of column 8. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R7C7 - removing <3> from <238> leaving <28>

Squares R1C1 and R1C8 in row 1 and R9C1 and R9C8 in row 9 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 1 and 8 can be removed.

R8C1 - removing <1> from <1267> leaving <267>

Squares R2C3 and R2C5 in row 2 and R4C3 and R4C5 in row 4 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in columns 3 and 5 can be removed.

R5C5 - removing <2> from <278> leaving <78>

R8C3 - removing <2> from <1267> leaving <167>

R8C5 - removing <2> from <26> leaving <6>

R1C4 is the only square in column 4 that can be <6>

R5C8 is the only square in column 8 that can be <6>

R5C5 is the only square in row 5 that can be <8>

Squares R2C5 (XY), R4C5 (XZ) and R2C9 (YZ) form an XY-Wing pattern on <3>. All squares that are buddies of both the XZ and YZ squares cannot be <3>.

R4C9 - removing <3> from <38> leaving <8>

R1C9 can only be <7>

R1C6 can only be <2>

R2C9 can only be <3>

R2C7 can only be <6>

R1C1 can only be <1>

R2C5 can only be <7>

R6C5 can only be <3>

R2C3 can only be <2>

R3C7 can only be <1>

R8C7 can only be <2>

R1C8 can only be <8>

R6C7 can only be <9>

R4C5 can only be <2>

R4C7 can only be <3>

R8C1 can only be <7>

R7C7 can only be <8>

R7C8 can only be <3>

R4C3 can only be <9>

R7C6 can only be <7>

R9C8 can only be <1>

R8C3 can only be <1>

R6C1 can only be <6>

R6C3 can only be <7>

R9C1 can only be <2>

R3C3 can only be <6>

R5C2 can only be <2>

R7C4 can only be <2>

R5C6 can only be <9>

R9C2 can only be <6>

R9C4 can only be <9>

R3C2 can only be <7>

R9C6 can only be <3>

R5C4 can only be <7>



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