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Daily Sudoku Answer 



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Jan 16 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R3C5 can only be <8>

R5C5 can only be <4>

R7C5 can only be <5>

R4C6 is the only square in row 4 that can be <9>

R4C4 is the only square in row 4 that can be <3>

R6C3 is the only square in row 6 that can be <5>

R8C9 is the only square in row 8 that can be <5>

R9C2 is the only square in row 9 that can be <5>

Squares R6C4 and R6C6 in row 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R6C1 - removing <7> from <267> leaving <26>

R6C7 - removing <8> from <468> leaving <46>

R6C9 - removing <8> from <2468> leaving <246>

Intersection of column 8 with block 3. The value <2> only appears in one or more of squares R1C8, R2C8 and R3C8 of column 8. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R2C9 - removing <2> from <289> leaving <89>

R3C9 - removing <2> from <269> leaving <69>

Intersection of row 2 with block 1. The value <2> only appears in one or more of squares R2C1, R2C2 and R2C3 of row 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R1C3 - removing <2> from <2678> leaving <678>

R3C1 - removing <2> from <2367> leaving <367>

Intersection of column 8 with block 9. The value <1> 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.

R8C7 - removing <1> from <147> leaving <47>

R9C7 - removing <1> from <14679> leaving <4679>

Intersection of row 8 with block 7. The value <1> only appears in one or more of squares R8C1, R8C2 and R8C3 of row 8. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R7C1 - removing <1> from <1467> leaving <467>

R9C3 - removing <1> from <1679> leaving <679>

Squares R3C2 and R3C9 in row 3 and R7C2 and R7C9 in row 7 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in columns 2 and 9 can be removed.

R2C9 - removing <9> from <89> leaving <8>

R4C9 can only be <2>

R1C3 is the only square in row 1 that can be <8>

R4C7 is the only square in row 4 that can be <8>

R6C1 is the only square in row 6 that can be <2>

R2C1 can only be <3>

R2C7 can only be <9>

R2C3 can only be <2>

R3C9 can only be <6>

R3C1 can only be <7>

R6C9 can only be <4>

R6C7 can only be <6>

R7C9 can only be <9>

R3C2 can only be <9>

R3C8 can only be <2>

R4C1 can only be <1>

R1C2 can only be <6>

R3C4 can only be <1>

R1C8 can only be <7>

R4C3 can only be <7>

R8C1 can only be <4>

R5C3 can only be <6>

R8C3 can only be <1>

R5C7 can only be <1>

R9C3 can only be <9>

R8C7 can only be <7>

R7C1 can only be <6>

R1C7 can only be <3>

R9C7 can only be <4>

R7C2 can only be <7>

R1C6 can only be <4>

R3C6 can only be <3>

R9C4 can only be <7>

R7C8 can only be <1>

R9C8 can only be <6>

R9C6 can only be <1>

R6C4 can only be <8>

R1C4 can only be <2>

R7C6 can only be <8>

R6C6 can only be <7>

R7C4 can only be <4>



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