Jul 15 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C7 is the only square in row 1 that can be <7>
R5C5 is the only square in row 5 that can be <7>
R7C4 is the only square in row 7 that can be <9>
R9C8 is the only square in row 9 that can be <7>
R8C2 is the only square in row 8 that can be <7>
R8C3 is the only square in row 8 that can be <5>
R8C8 is the only square in row 8 that can be <2>
R8C9 is the only square in row 8 that can be <6>
R7C8 can only be <8>
R7C9 can only be <1>
R7C3 can only be <6>
R8C6 is the only square in row 8 that can be <3>
R9C6 is the only square in row 9 that can be <8>
R6C7 is the only square in column 7 that can be <2>
R4C9 is the only square in column 9 that can be <5>
R3C6 is the only square in block 2 that can be <9>
R4C6 can only be <4>
R2C6 can only be <1>
Intersection of row 5 with block 4. The value <1> only appears in one or more of squares R5C1, R5C2 and R5C3 of row 5. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R6C1 - removing <1> from <159> leaving <59>
R6C2 - removing <1> from <1358> leaving <358>
Intersection of block 6 with row 5. The values <48> only appears in one or more of squares R5C7, R5C8 and R5C9 of block 6. These squares are the ones that intersect with row 5. Thus, the other (non-intersecting) squares of row 5 cannot contain these values.
R5C2 - removing <8> from <1368> leaving <136>
Squares R1C2<36>, R3C2<16> and R5C2<136> in column 2 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <136>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C2 - removing <36> from <2356> leaving <25>
R4C2 - removing <6> from <268> leaving <28>
R6C2 - removing <3> from <358> leaving <58>
R4C8 is the only square in row 4 that can be <6>
R6C8 is the only square in row 6 that can be <3>
R2C8 can only be <4>
R2C5 can only be <8>
R5C8 can only be <9>
R3C7 can only be <6>
R3C2 can only be <1>
R2C4 can only be <6>
R2C7 can only be <3>
R4C5 can only be <9>
R9C7 can only be <4>
R1C9 can only be <8>
R3C1 can only be <4>
R4C3 can only be <2>
R6C5 can only be <1>
R6C4 can only be <8>
R8C5 can only be <4>
R8C4 can only be <1>
R9C9 can only be <3>
R5C7 can only be <8>
R5C9 can only be <4>
R1C4 can only be <4>
R4C2 can only be <8>
R9C3 can only be <1>
R6C2 can only be <5>
R9C1 can only be <2>
R5C3 can only be <3>
R5C2 can only be <6>
R1C3 can only be <9>
R6C1 can only be <9>
R2C2 can only be <2>
R2C1 can only be <5>
R1C1 can only be <6>
R5C1 can only be <1>
R1C2 can only be <3>
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