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Daily Sudoku Answer 



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Dec 12 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R2C6 is the only square in row 2 that can be <1>

R8C1 is the only square in row 8 that can be <6>

R9C8 is the only square in row 9 that can be <1>

R9C5 is the only square in row 9 that can be <4>

R2C4 is the only square in row 2 that can be <4>

R2C7 is the only square in row 2 that can be <6>

R1C2 is the only square in row 1 that can be <6>

R3C2 is the only square in row 3 that can be <4>

R3C4 is the only square in row 3 that can be <6>

R4C6 is the only square in row 4 that can be <4>

R5C9 is the only square in row 5 that can be <4>

R6C8 is the only square in row 6 that can be <6>

R4C7 is the only square in block 6 that can be <5>

Intersection of column 1 with block 1. The value <7> only appears in one or more of squares R1C1, R2C1 and R3C1 of column 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R2C3 - removing <7> from <78> leaving <8>

R9C1 is the only square in column 1 that can be <8>

R5C1 is the only square in column 1 that can be <5>

Squares R8C3 and R8C7 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <79>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R8C4 - removing <9> from <2389> leaving <238>

R8C5 - removing <9> from <2389> leaving <238>

R8C6 - removing <9> from <3589> leaving <358>

R8C9 - removing <79> from <5789> leaving <58>

Intersection of column 9 with block 3. The value <7> only appears in one or more of squares R1C9, R2C9 and R3C9 of column 9. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R1C8 - removing <7> from <3789> leaving <389>

Intersection of block 8 with row 7. The value <9> only appears in one or more of squares R7C4, R7C5 and R7C6 of block 8. These squares are the ones that intersect with row 7. Thus, the other (non-intersecting) squares of row 7 cannot contain this value.

R7C2 - removing <9> from <579> leaving <57>

R7C8 - removing <9> from <789> leaving <78>

Intersection of block 2 with column 5. The value <9> only appears in one or more of squares R1C5, R2C5 and R3C5 of block 2. These squares are the ones that intersect with column 5. Thus, the other (non-intersecting) squares of column 5 cannot contain this value.

R5C5 - removing <9> from <239> leaving <23>

Squares R1C5 and R8C5 in column 5 and R1C9 and R8C9 in column 9 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in rows 1 and 8 can be removed.

R8C4 - removing <8> from <238> leaving <23>

R8C6 - removing <8> from <358> leaving <35>

R1C8 - removing <8> from <389> leaving <39>

Squares R1C8 (XY), R1C1 (XZ) and R2C9 (YZ) form an XY-Wing pattern on <7>. All squares that are buddies of both the XZ and YZ squares cannot be <7>.

R2C1 - removing <7> from <37> leaving <3>

R1C9 - removing <7> from <789> leaving <89>

R2C5 can only be <9>

R1C1 can only be <7>

R2C9 can only be <7>

Squares R1C8 and R1C9 in row 1, R5C2 and R5C8 in row 5 and R9C2 and R9C9 in row 9 form a Swordfish pattern on possibility <9>. All other instances of this possibility in columns 2, 8 and 9 can be removed.

R4C2 - removing <9> from <789> leaving <78>

R4C8 - removing <9> from <279> leaving <27>

R6C2 - removing <9> from <3789> leaving <378>

Squares R5C8 (XY), R5C5 (XZ) and R1C8 (YZ) form an XY-Wing pattern on <3>. All squares that are buddies of both the XZ and YZ squares cannot be <3>.

R1C5 - removing <3> from <38> leaving <8>

R1C9 can only be <9>

R3C6 can only be <3>

R1C8 can only be <3>

R9C9 can only be <5>

R3C8 can only be <8>

R8C6 can only be <5>

R7C8 can only be <7>

R7C2 can only be <5>

R4C8 can only be <2>

R8C7 can only be <9>

R8C9 can only be <8>

R8C3 can only be <7>

R6C7 can only be <7>

R9C2 can only be <9>

R5C8 can only be <9>

R5C2 can only be <3>

R4C3 can only be <9>

R4C4 can only be <8>

R6C3 can only be <2>

R4C2 can only be <7>

R7C4 can only be <9>

R6C6 can only be <9>

R5C5 can only be <2>

R6C2 can only be <8>

R8C5 can only be <3>

R6C4 can only be <3>

R7C6 can only be <8>

R8C4 can only be <2>



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