Sep 25 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C7 can only be <2>
R4C4 is the only square in row 4 that can be <1>
R9C7 is the only square in row 9 that can be <1>
R3C7 can only be <7>
R9C8 is the only square in row 9 that can be <5>
R9C6 is the only square in row 9 that can be <2>
R8C4 is the only square in column 4 that can be <3>
R6C4 is the only square in column 4 that can be <7>
R6C3 can only be <6>
R6C6 can only be <5>
R4C3 can only be <8>
R6C7 can only be <3>
R5C7 can only be <5>
R5C9 can only be <6>
R4C6 can only be <6>
R5C3 can only be <7>
R5C1 can only be <3>
R1C6 can only be <9>
R5C5 can only be <8>
R8C9 can only be <2>
R7C9 can only be <3>
Intersection of column 4 with block 2. The value <6> 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 <6> from <146> leaving <14>
R3C5 - removing <6> from <156> leaving <15>
Squares R1C3<12>, R2C1<18> and R3C1<128> in block 1 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <128>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R2C2 - removing <8> from <358> leaving <35>
R3C2 - removing <8> from <568> leaving <56>
Intersection of column 2 with block 7. The values <78> only appears in one or more of squares R7C2, R8C2 and R9C2 of column 2. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain these values.
R7C1 - removing <8> from <1248> leaving <124>
R8C1 - removing <8> from <89> leaving <9>
R6C1 can only be <4>
R6C8 can only be <9>
R4C2 can only be <9>
R3C8 can only be <2>
R4C9 can only be <4>
R2C9 can only be <1>
R2C1 can only be <8>
R3C9 can only be <9>
R2C6 can only be <7>
R3C1 can only be <1>
R7C6 can only be <8>
R3C5 can only be <5>
R7C1 can only be <2>
R1C3 can only be <2>
R3C2 can only be <6>
R2C5 can only be <4>
R7C3 can only be <1>
R7C8 can only be <6>
R9C4 can only be <4>
R8C8 can only be <8>
R8C2 can only be <7>
R9C2 can only be <8>
R9C5 can only be <9>
R1C4 can only be <6>
R7C5 can only be <7>
R1C2 can only be <3>
R3C4 can only be <8>
R2C8 can only be <3>
R1C5 can only be <1>
R2C2 can only be <5>
R1C8 can only be <4>
R7C2 can only be <4>
R8C5 can only be <6>
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