Sep 27 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C7 can only be <5>
R3C3 is the only square in row 3 that can be <8>
R4C2 is the only square in row 4 that can be <2>
R2C6 is the only square in column 6 that can be <1>
R6C4 is the only square in column 4 that can be <1>
R7C4 is the only square in column 4 that can be <8>
R7C7 can only be <6>
R9C8 is the only square in row 9 that can be <8>
R5C8 is the only square in column 8 that can be <1>
R5C7 is the only square in row 5 that can be <7>
R1C7 can only be <4>
R4C7 can only be <8>
R3C4 is the only square in column 4 that can be <4>
Intersection of row 4 with block 6. The value <3> only appears in one or more of squares R4C7, R4C8 and R4C9 of row 4. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
R6C8 - removing <3> from <359> leaving <59>
Intersection of column 4 with block 2. The value <9> only appears in one or more of squares R1C4, R2C4 and R3C4 of column 4. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R1C5 - removing <9> from <23569> leaving <2356>
R3C5 - removing <9> from <2369> leaving <236>
R3C6 - removing <9> from <269> leaving <26>
Squares R7C5<235>, R7C6<25> and R8C4<35> in block 8 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <235>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R8C6 - removing <25> from <256> leaving <6>
R9C5 - removing <25> from <24569> leaving <469>
R9C6 - removing <25> from <24569> leaving <469>
R3C6 can only be <2>
R7C6 can only be <5>
R8C4 can only be <3>
R8C3 can only be <5>
R2C4 can only be <9>
R7C5 can only be <2>
R2C2 can only be <3>
R1C4 can only be <5>
R7C9 can only be <1>
R8C8 can only be <2>
R9C3 can only be <6>
R9C9 can only be <5>
R9C1 can only be <2>
R9C2 can only be <1>
R5C3 can only be <4>
R7C2 can only be <7>
R5C9 can only be <9>
R6C3 can only be <3>
R3C9 can only be <3>
R6C8 can only be <5>
R6C1 can only be <9>
R4C8 can only be <3>
R7C1 can only be <3>
R3C5 can only be <6>
R1C9 can only be <2>
R4C9 can only be <4>
R4C6 can only be <9>
R6C2 can only be <8>
R6C5 can only be <4>
R5C2 can only be <6>
R9C5 can only be <9>
R9C6 can only be <4>
R4C5 can only be <5>
R3C1 can only be <7>
R1C5 can only be <3>
R5C5 can only be <8>
R5C1 can only be <5>
R1C2 can only be <9>
R1C8 can only be <7>
R1C1 can only be <6>
R3C8 can only be <9>
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