Nov 06 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C6 can only be <1>
R4C1 can only be <4>
R5C6 can only be <6>
R8C6 can only be <4>
R2C7 is the only square in row 2 that can be <4>
R2C5 is the only square in row 2 that can be <7>
R3C2 is the only square in row 3 that can be <1>
R6C5 is the only square in row 6 that can be <4>
R7C2 is the only square in row 7 that can be <4>
R8C8 is the only square in row 8 that can be <3>
R4C5 is the only square in column 5 that can be <5>
R4C2 is the only square in row 4 that can be <3>
R6C8 is the only square in column 8 that can be <1>
R6C1 can only be <2>
R6C2 can only be <8>
R5C1 can only be <1>
R6C9 can only be <5>
R5C3 can only be <7>
Squares R5C4 and R5C5 in row 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <38>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R5C7 - removing <8> from <289> leaving <29>
R5C9 - removing <8> from <289> leaving <29>
Squares R8C2 and R9C2 in column 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C2 - removing <6> from <269> leaving <29>
R2C2 - removing <6> from <269> leaving <29>
R1C8 is the only square in row 1 that can be <6>
R2C1 is the only square in row 2 that can be <6>
R8C1 can only be <5>
Squares R7C5 and R8C4 in block 8 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.
R8C5 - removing <89> from <1689> leaving <16>
R9C5 - removing <8> from <168> leaving <16>
Intersection of column 7 with block 9. The value <8> only appears in one or more of squares R7C7, R8C7 and R9C7 of column 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R7C8 - removing <8> from <89> leaving <9>
R8C9 - removing <8> from <2789> leaving <279>
R9C8 - removing <8> from <578> leaving <57>
R7C5 can only be <8>
R3C8 can only be <2>
R3C5 can only be <9>
R5C5 can only be <3>
R8C4 can only be <9>
R2C4 can only be <3>
R2C3 can only be <5>
R5C4 can only be <8>
R1C5 can only be <2>
R1C2 can only be <9>
R2C8 can only be <8>
R1C3 can only be <3>
R2C9 can only be <9>
R4C8 can only be <7>
R2C2 can only be <2>
R5C9 can only be <2>
R1C7 can only be <5>
R4C9 can only be <8>
R9C8 can only be <5>
R5C7 can only be <9>
R8C9 can only be <7>
R8C2 can only be <6>
R9C7 can only be <8>
R8C5 can only be <1>
R9C2 can only be <7>
R8C3 can only be <8>
R9C5 can only be <6>
R9C3 can only be <1>
R8C7 can only be <2>
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