Jun 21 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R6C5 can only be <1>
R1C5 is the only square in row 1 that can be <6>
R2C8 is the only square in row 2 that can be <7>
R2C9 is the only square in row 2 that can be <4>
R5C5 is the only square in row 5 that can be <4>
R4C5 can only be <3>
R4C2 is the only square in row 4 that can be <4>
R4C1 is the only square in row 4 that can be <5>
R5C7 is the only square in row 5 that can be <3>
R7C8 is the only square in row 7 that can be <4>
R6C4 is the only square in column 4 that can be <7>
R4C6 can only be <8>
R4C9 can only be <9>
R4C7 can only be <7>
R2C5 is the only square in column 5 that can be <5>
R8C8 is the only square in column 8 that can be <3>
Squares R8C5 and R9C5 in block 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C4 - removing <9> from <139> leaving <13>
Intersection of row 3 with block 2. The value <3> only appears in one or more of squares R3C4, R3C5 and R3C6 of row 3. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R2C4 - removing <3> from <1389> leaving <189>
Intersection of row 7 with block 7. The values <59> only appears in one or more of squares R7C1, R7C2 and R7C3 of row 7. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain these values.
R8C1 - removing <9> from <12679> leaving <1267>
R8C2 - removing <9> from <269> leaving <26>
R9C2 - removing <59> from <259> leaving <2>
R9C3 - removing <59> from <13579> leaving <137>
R9C5 can only be <9>
R8C2 can only be <6>
R8C5 can only be <2>
R7C6 is the only square in row 7 that can be <6>
R8C7 is the only square in row 8 that can be <9>
R8C9 is the only square in row 8 that can be <8>
R5C9 can only be <6>
R5C1 can only be <7>
R6C9 can only be <2>
R6C8 can only be <8>
R5C3 can only be <8>
R8C1 can only be <1>
R6C3 can only be <9>
R6C1 can only be <6>
R8C6 can only be <7>
R3C8 is the only square in row 3 that can be <2>
R1C8 can only be <9>
R1C1 can only be <2>
R7C4 is the only square in row 7 that can be <1>
R1C4 can only be <8>
R9C6 can only be <3>
R9C3 can only be <7>
R3C6 can only be <1>
R2C4 can only be <9>
R2C1 can only be <3>
R2C2 can only be <8>
R3C4 can only be <3>
R3C9 can only be <5>
R3C7 can only be <8>
R9C9 can only be <1>
R1C7 can only be <1>
R9C7 can only be <5>
R1C3 can only be <5>
R2C3 can only be <1>
R7C1 can only be <9>
R3C2 can only be <9>
R7C2 can only be <5>
R7C3 can only be <3>
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