Nov 14 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R8C4 can only be <5>
R8C8 can only be <9>
R7C5 can only be <3>
R7C6 can only be <8>
R8C9 can only be <8>
R9C6 can only be <4>
R9C5 can only be <9>
R2C6 is the only square in row 2 that can be <5>
R5C6 can only be <2>
R5C4 can only be <7>
R3C4 can only be <3>
R6C5 can only be <5>
R1C4 can only be <2>
R4C1 is the only square in row 4 that can be <3>
R9C2 is the only square in row 9 that can be <3>
R7C7 is the only square in column 7 that can be <1>
R1C7 is the only square in column 7 that can be <8>
R1C9 is the only square in block 3 that can be <9>
R5C9 can only be <3>
R1C8 is the only square in row 1 that can be <3>
Squares R3C5 and R3C8 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <47>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C2 - removing <7> from <789> leaving <89>
R3C3 - removing <47> from <4789> leaving <89>
Intersection of row 1 with block 1. The value <6> only appears in one or more of squares R1C1, R1C2 and R1C3 of row 1. 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 <167> leaving <17>
Intersection of block 4 with column 3. The value <7> only appears in one or more of squares R4C3, R5C3 and R6C3 of block 4. These squares are the ones that intersect with column 3. Thus, the other (non-intersecting) squares of column 3 cannot contain this value.
R1C3 - removing <7> from <467> leaving <46>
R9C3 - removing <7> from <578> leaving <58>
Squares R1C2<67>, R2C2<17> and R8C2<16> in column 2 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <167>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R5C2 - removing <1> from <1589> leaving <589>
R7C2 - removing <7> from <57> leaving <5>
R7C8 can only be <7>
R9C3 can only be <8>
R3C8 can only be <4>
R9C7 can only be <2>
R9C1 can only be <7>
R3C3 can only be <9>
R9C8 can only be <5>
R3C2 can only be <8>
R6C3 can only be <7>
R3C5 can only be <7>
R5C8 can only be <6>
R5C5 can only be <1>
R2C8 can only be <2>
R4C7 can only be <7>
R6C7 can only be <9>
R6C9 can only be <2>
R4C3 can only be <1>
R5C7 can only be <4>
R2C9 can only be <7>
R2C2 can only be <1>
R2C7 can only be <6>
R5C2 can only be <9>
R1C5 can only be <4>
R4C5 can only be <6>
R5C3 can only be <5>
R5C1 can only be <8>
R1C3 can only be <6>
R2C1 can only be <4>
R8C2 can only be <6>
R8C3 can only be <4>
R1C2 can only be <7>
R8C1 can only be <1>
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