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Daily Sudoku Answer 



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Jan 13 - Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R6C1 is the only square in row 6 that can be <9>

R7C1 is the only square in row 7 that can be <2>

R1C3 is the only square in row 1 that can be <2>

R3C9 is the only square in row 3 that can be <2>

R4C7 is the only square in row 4 that can be <2>

R5C5 is the only square in row 5 that can be <2>

R9C4 is the only square in column 4 that can be <8>

R2C4 is the only square in column 4 that can be <9>

R2C5 is the only square in row 2 that can be <1>

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

R3C5 is the only square in row 3 that can be <4>

R7C5 can only be <7>

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

R4C4 is the only square in column 4 that can be <1>

R6C6 can only be <7>

R1C5 is the only square in column 5 that can be <6>

R1C6 is the only square in row 1 that can be <5>

Intersection of row 3 with block 1. The value <6> 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.

R2C2 - removing <6> from <678> leaving <78>

Intersection of row 6 with block 6. The values <16> only appears in one or more of squares R6C7, R6C8 and R6C9 of row 6. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.

R5C7 - removing <16> from <1368> leaving <38>

R5C8 - removing <16> from <1678> leaving <78>

R5C9 - removing <6> from <35678> leaving <3578>

Squares R1C8 and R5C8 in column 8 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 column.

R6C8 - removing <8> from <1468> leaving <146>

R7C8 - removing <8> from <148> leaving <14>

R8C8 - removing <8> from <168> leaving <16>

Intersection of column 3 with block 4. The values <47> only appears in one or more of squares R4C3, R5C3 and R6C3 of column 3. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain these values.

R4C2 - removing <7> from <357> leaving <35>

R5C2 - removing <7> from <135678> leaving <13568>

Squares R4C1 and R4C2 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <35>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R4C3 - removing <3> from <347> leaving <47>

R4C9 - removing <35> from <3457> leaving <47>

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

R5C7 is the only square in block 6 that can be <3>

R9C7 can only be <1>

R7C8 can only be <4>

R8C8 can only be <6>

R6C8 can only be <1>

R9C6 is the only square in row 9 that can be <4>

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

R8C6 can only be <1>

R9C2 can only be <5>

R7C6 can only be <3>

R9C5 can only be <9>

R4C2 can only be <3>

R8C1 can only be <8>

R9C9 can only be <3>

R8C5 can only be <5>

R7C9 can only be <8>

R4C1 can only be <5>

R7C2 can only be <1>

R8C9 can only be <9>

R1C1 can only be <3>

R1C4 can only be <7>

R3C1 can only be <6>

R1C8 can only be <8>

R3C4 can only be <3>

R5C8 can only be <7>

R2C7 can only be <6>

R2C9 can only be <7>

R6C7 can only be <8>

R2C2 can only be <8>

R4C9 can only be <4>

R3C2 can only be <7>

R5C1 can only be <1>

R4C3 can only be <7>

R6C9 can only be <6>

R5C3 can only be <8>

R6C3 can only be <4>

R5C2 can only be <6>



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