Jan 02 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C1 is the only square in row 3 that can be <6>
R4C6 is the only square in row 4 that can be <5>
R5C1 is the only square in row 5 that can be <3>
R5C2 is the only square in row 5 that can be <4>
R7C2 is the only square in row 7 that can be <5>
R2C1 is the only square in column 1 that can be <5>
R1C3 is the only square in column 3 that can be <9>
R4C4 is the only square in column 4 that can be <9>
R9C5 is the only square in column 5 that can be <9>
R2C7 is the only square in column 7 that can be <9>
Squares R2C2 and R3C2 in column 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <27>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C2 - removing <27> from <1278> leaving <18>
R9C2 - removing <7> from <178> leaving <18>
Squares R5C8 and R5C9 in block 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <89>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C7 - removing <8> from <1478> leaving <147>
R6C7 - removing <8> from <1478> leaving <147>
R6C8 - removing <8> from <1578> leaving <157>
R6C9 - removing <8> from <578> leaving <57>
Intersection of row 4 with block 4. The value <2> 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 this value.
R6C3 - removing <2> from <127> leaving <17>
Squares R6C3 and R7C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C3 - removing <17> from <127> leaving <2>
R8C3 - removing <17> from <12367> leaving <236>
R9C3 - removing <17> from <1367> leaving <36>
R8C1 is the only square in row 8 that can be <2>
Intersection of row 6 with block 5. The values <238> only appears in one or more of squares R6C4, R6C5 and R6C6 of row 6. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.
R4C5 - removing <8> from <48> leaving <4>
R6C7 is the only square in row 6 that can be <4>
R8C4 is the only square in row 8 that can be <4>
R2C4 is the only square in column 4 that can be <1>
R8C5 is the only square in block 8 that can be <7>
R8C9 can only be <8>
R5C9 can only be <9>
R5C8 can only be <8>
R7C9 can only be <7>
R7C3 can only be <1>
R6C9 can only be <5>
R7C6 can only be <8>
R7C8 can only be <9>
R6C3 can only be <7>
R9C2 can only be <8>
R9C1 can only be <7>
R4C2 can only be <1>
R4C7 can only be <7>
R4C1 can only be <8>
R1C7 can only be <8>
R6C8 can only be <1>
R8C8 can only be <3>
R8C3 can only be <6>
R3C8 can only be <7>
R9C7 can only be <1>
R9C6 can only be <6>
R1C5 can only be <6>
R3C7 can only be <3>
R3C2 can only be <2>
R1C8 can only be <5>
R8C6 can only be <1>
R9C3 can only be <3>
R1C9 can only be <2>
R2C5 can only be <3>
R1C4 can only be <7>
R2C9 can only be <6>
R2C6 can only be <2>
R6C5 can only be <8>
R2C2 can only be <7>
R6C6 can only be <3>
R3C4 can only be <8>
R6C4 can only be <2>
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