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Daily Sudoku Answer 



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Jan 21 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R2C2 is the only square in row 2 that can be <2>

R2C6 is the only square in row 2 that can be <3>

R7C8 is the only square in row 7 that can be <6>

R7C3 is the only square in row 7 that can be <3>

R8C8 is the only square in row 8 that can be <3>

R1C1 is the only square in column 1 that can be <8>

R2C1 is the only square in column 1 that can be <1>

R7C1 is the only square in column 1 that can be <5>

R8C2 is the only square in column 2 that can be <8>

R6C6 is the only square in column 6 that can be <8>

R6C9 is the only square in row 6 that can be <2>

R3C9 is the only square in column 9 that can be <6>

R6C2 is the only square in block 4 that can be <6>

R6C5 can only be <7>

R6C1 can only be <9>

R5C5 can only be <1>

R5C9 is the only square in row 5 that can be <9>

R5C1 is the only square in row 5 that can be <7>

R4C1 can only be <4>

Squares R5C6 and R7C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R9C6 - removing <24> from <1245> leaving <15>

Intersection of column 9 with block 9. The value <4> only appears in one or more of squares R7C9, R8C9 and R9C9 of column 9. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R9C8 - removing <4> from <489> leaving <89>

Squares R1C2<59>, R3C2<459> and R3C3<49> in block 1 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <459>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C3 - removing <9> from <679> leaving <67>

R2C3 - removing <49> from <4679> leaving <67>

R2C8 is the only square in row 2 that can be <4>

R4C8 is the only square in column 8 that can be <7>

R4C9 can only be <8>

R9C9 can only be <4>

R8C9 can only be <7>

Squares R8C5 and R8C7 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R8C3 - removing <9> from <149> leaving <14>

R8C4 - removing <59> from <1459> leaving <14>

Squares R2C5 and R2C7 in row 2 and R8C5 and R8C7 in row 8 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in columns 5 and 7 can be removed.

R1C7 - removing <9> from <179> leaving <17>

R3C7 - removing <9> from <189> leaving <18>

R7C7 - removing <9> from <29> leaving <2>

R9C7 - removing <9> from <2589> leaving <258>

R7C6 can only be <4>

R7C2 can only be <9>

R5C6 can only be <2>

R8C4 can only be <1>

R8C3 can only be <4>

R9C6 can only be <5>

R9C7 can only be <8>

R1C6 can only be <1>

R8C5 can only be <9>

R9C8 can only be <9>

R3C7 can only be <1>

R9C3 can only be <1>

R9C4 can only be <2>

R3C8 can only be <8>

R8C7 can only be <5>

R1C7 can only be <7>

R1C3 can only be <6>

R2C7 can only be <9>

R2C5 can only be <6>

R5C4 can only be <4>

R1C2 can only be <5>

R3C3 can only be <9>

R3C2 can only be <4>

R1C4 can only be <9>

R2C3 can only be <7>

R3C4 can only be <5>

R4C5 can only be <5>

R4C4 can only be <6>



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