Oct 17 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R9C7 can only be <3>
R9C1 can only be <6>
R9C9 can only be <5>
R2C8 is the only square in row 2 that can be <1>
R2C7 is the only square in row 2 that can be <4>
R2C2 is the only square in row 2 that can be <5>
R3C5 is the only square in row 3 that can be <2>
R4C2 is the only square in row 4 that can be <9>
R4C4 is the only square in row 4 that can be <2>
R5C2 is the only square in row 5 that can be <2>
R5C8 is the only square in row 5 that can be <5>
R6C8 can only be <3>
R4C5 is the only square in row 4 that can be <3>
R6C5 is the only square in row 6 that can be <5>
R6C4 is the only square in row 6 that can be <1>
R5C9 is the only square in row 5 that can be <1>
R8C7 is the only square in row 8 that can be <2>
R8C2 is the only square in column 2 that can be <3>
R2C6 is the only square in column 6 that can be <9>
Squares R2C3 and R3C2 in block 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <68>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C3 - removing <68> from <3689> leaving <39>
Intersection of row 2 with block 2. The value <7> only appears in one or more of squares R2C4, R2C5 and R2C6 of row 2. 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 <7> from <678> leaving <68>
Intersection of row 8 with block 8. The value <4> only appears in one or more of squares R8C4, R8C5 and R8C6 of row 8. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R7C5 - removing <4> from <4678> leaving <678>
R8C5 is the only square in column 5 that can be <4>
R8C3 is the only square in row 8 that can be <1>
R9C3 can only be <8>
R9C5 can only be <1>
R2C3 can only be <6>
R7C2 can only be <4>
R5C3 can only be <3>
R3C2 can only be <8>
R5C1 can only be <4>
R1C3 can only be <9>
R7C1 can only be <9>
R6C2 can only be <6>
R3C1 can only be <7>
R1C1 can only be <3>
R6C6 can only be <4>
R7C5 is the only square in row 7 that can be <8>
R1C5 can only be <6>
R2C5 can only be <7>
R1C9 can only be <7>
R1C7 can only be <8>
R7C9 can only be <6>
R2C4 can only be <8>
R7C8 can only be <7>
R3C9 can only be <9>
R5C7 can only be <7>
R3C8 can only be <6>
R5C4 can only be <6>
R4C8 can only be <8>
R8C8 can only be <9>
R4C6 can only be <7>
R5C6 can only be <8>
R8C4 can only be <7>
R8C6 can only be <6>
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