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Daily Sudoku Answer 


The full reasoning can be found below the Sudoku.

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Dec 24 - Hard
Puzzle Copyright © Kevin Stone


Reasoning 


R1C9 can only be <3>

R5C7 is the only square in row 5 that can be <3>

R8C6 is the only square in row 8 that can be <5>

R8C4 is the only square in row 8 that can be <1>

R8C3 is the only square in row 8 that can be <3>

Intersection of row 4 with block 4. The values <26> only appears in one or more of squares R4C1, R4C2 and R4C3 of row 4. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain these values.

R5C1 - removing <6> from <689> leaving <89>

R5C3 - removing <6> from <1678> leaving <178>

Intersection of row 8 with block 9. The value <7> only appears in one or more of squares R8C7, R8C8 and R8C9 of row 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 <7> from <6789> leaving <689>

Intersection of block 8 with row 7. The value <6> 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 <6> from <24679> leaving <2479>

R7C3 - removing <6> from <2467> leaving <247>

R7C7 - removing <6> from <689> leaving <89>

R7C8 - removing <6> from <3689> leaving <389>

Squares R8C1<26>, R9C1<269> and R9C2<269> in block 7 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <269>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C2 - removing <29> from <2479> leaving <47>

R7C3 - removing <2> from <247> leaving <47>

Intersection of row 7 with block 8. The values <26> 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 these values.

R9C5 - removing <2> from <238> leaving <38>

Intersection of row 7 with block 9. The value <9> only appears in one or more of squares R7C7, R7C8 and R7C9 of row 7. 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 <9> from <3689> leaving <368>

R9C9 - removing <9> from <29> leaving <2>

R8C9 can only be <7>

R8C7 can only be <6>

R8C1 can only be <2>

Squares R5C3<178>, R6C2<17> and R6C3<178> in block 4 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <178>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R4C2 - removing <17> from <12679> leaving <269>

R4C3 - removing <17> from <1267> leaving <26>

R5C1 - removing <8> from <89> leaving <9>

R5C9 can only be <4>

R9C1 can only be <6>

R2C9 can only be <9>

R9C2 can only be <9>

R2C4 can only be <8>

R2C1 can only be <5>

R5C4 can only be <6>

R3C6 can only be <2>

R2C6 can only be <1>

R7C4 can only be <3>

R3C4 can only be <9>

R9C5 can only be <8>

R9C8 can only be <3>

R7C5 can only be <2>

R7C6 can only be <6>

R2C7 can only be <4>

R1C1 can only be <8>

R5C6 can only be <8>

R1C5 can only be <5>

R2C3 can only be <2>

R1C8 can only be <6>

R3C5 can only be <3>

R1C2 can only be <1>

R4C3 can only be <6>

R4C2 can only be <2>

R3C3 can only be <4>

R6C2 can only be <7>

R3C2 can only be <6>

R7C3 can only be <7>

R6C7 can only be <5>

R7C2 can only be <4>

R5C3 can only be <1>

R6C8 can only be <1>

R3C7 can only be <8>

R6C3 can only be <8>

R6C5 can only be <4>

R4C8 can only be <9>

R3C8 can only be <5>

R7C7 can only be <9>

R4C7 can only be <7>

R7C8 can only be <8>

R5C5 can only be <7>

R4C5 can only be <1>


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