May 10 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C3 can only be <1>
R2C4 is the only square in column 4 that can be <4>
R8C6 is the only square in column 6 that can be <3>
R9C9 is the only square in column 9 that can be <1>
R8C9 is the only square in column 9 that can be <2>
R7C6 is the only square in block 8 that can be <8>
Squares R5C8 and R7C8 in column 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R6C8 - removing <9> from <3489> leaving <348>
R9C8 - removing <9> from <3479> leaving <347>
Squares R5C9 and R7C9 in column 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <56>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C9 - removing <56> from <3568> leaving <38>
R5C9 is the only square in block 6 that can be <6>
R7C9 can only be <5>
R7C8 can only be <9>
R7C7 can only be <6>
R5C8 can only be <5>
R6C7 is the only square in column 7 that can be <9>
R6C8 is the only square in block 6 that can be <4>
Intersection of row 5 with block 4. The value <1> only appears in one or more of squares R5C1, R5C2 and R5C3 of row 5. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R6C1 - removing <1> from <123> leaving <23>
Intersection of row 6 with block 5. The values <17> only appears in one or more of squares R6C4, R6C5 and R6C6 of row 6. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.
R4C4 - removing <7> from <5679> leaving <569>
R4C6 - removing <7> from <67> leaving <6>
R6C6 is the only square in column 6 that can be <7>
R6C4 can only be <1>
R3C4 can only be <5>
R4C4 can only be <9>
R5C5 can only be <2>
R5C1 can only be <1>
R1C5 can only be <6>
R6C5 can only be <8>
R6C9 can only be <3>
R4C5 can only be <5>
R6C1 can only be <2>
R4C9 can only be <8>
R9C5 can only be <9>
R5C2 can only be <9>
R2C1 can only be <6>
R3C1 can only be <3>
R3C3 can only be <2>
R4C1 can only be <4>
R3C7 can only be <8>
R2C3 can only be <9>
R9C3 can only be <4>
R3C2 can only be <1>
R8C7 can only be <4>
R2C8 can only be <1>
R4C2 can only be <7>
R1C1 can only be <5>
R4C3 can only be <3>
R8C2 can only be <6>
R9C7 can only be <3>
R1C3 can only be <7>
R9C8 can only be <7>
R1C7 can only be <2>
R9C4 can only be <6>
R8C8 can only be <8>
R1C6 can only be <1>
R2C2 can only be <8>
R2C6 can only be <2>
R1C8 can only be <3>
R1C2 can only be <4>
R8C4 can only be <7>
R9C2 can only be <2>
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