Sep 08 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C3 is the only square in row 5 that can be <8>
R6C4 is the only square in row 6 that can be <3>
R6C2 is the only square in row 6 that can be <9>
R6C9 is the only square in row 6 that can be <5>
R5C2 is the only square in row 5 that can be <5>
R5C5 is the only square in column 5 that can be <4>
R5C7 can only be <6>
R4C2 is the only square in row 4 that can be <6>
R2C8 is the only square in column 8 that can be <3>
R2C7 is the only square in block 3 that can be <9>
Intersection of column 5 with block 2. The value <7> only appears in one or more of squares R1C5, R2C5 and R3C5 of column 5. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R2C6 - removing <7> from <2567> leaving <256>
Intersection of column 9 with block 9. The values <27> only appears in one or more of squares R7C9, R8C9 and R9C9 of column 9. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain these values.
R8C8 - removing <27> from <1246789> leaving <14689>
R9C8 - removing <27> from <1279> leaving <19>
Intersection of block 3 with column 9. The value <1> only appears in one or more of squares R1C9, R2C9 and R3C9 of block 3. These squares are the ones that intersect with column 9. Thus, the other (non-intersecting) squares of column 9 cannot contain this value.
R7C9 - removing <1> from <14> leaving <4>
R8C9 - removing <1> from <12478> leaving <2478>
R9C9 - removing <1> from <127> leaving <27>
R4C7 is the only square in column 7 that can be <4>
R4C1 can only be <7>
R6C8 can only be <7>
R6C3 can only be <4>
R5C8 can only be <2>
R4C6 can only be <2>
R4C8 can only be <1>
R5C4 can only be <9>
R9C8 can only be <9>
R5C6 can only be <7>
R7C8 can only be <6>
R8C8 can only be <8>
R1C8 can only be <4>
R1C2 can only be <7>
R1C5 can only be <5>
R9C2 can only be <1>
R1C1 can only be <8>
R2C6 can only be <6>
R2C3 can only be <1>
R9C5 can only be <2>
R8C3 can only be <7>
R9C9 can only be <7>
R2C5 can only be <7>
R3C5 can only be <9>
R8C4 can only be <6>
R8C9 can only be <2>
R3C1 can only be <3>
R2C9 can only be <8>
R3C3 can only be <6>
R2C4 can only be <2>
R3C9 can only be <1>
R3C2 can only be <2>
R7C1 can only be <9>
R3C4 can only be <8>
R2C2 can only be <4>
R7C6 can only be <5>
R8C1 can only be <4>
R7C7 can only be <1>
R8C6 can only be <9>
R7C5 can only be <3>
R8C7 can only be <5>
R8C2 can only be <3>
R2C1 can only be <5>
R8C5 can only be <1>
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