May 23 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C1 can only be <9>
R6C9 can only be <6>
R4C9 can only be <4>
R6C1 can only be <8>
R5C3 can only be <5>
R1C5 is the only square in row 1 that can be <2>
R5C8 is the only square in row 5 that can be <2>
R8C6 is the only square in row 8 that can be <2>
R7C1 is the only square in row 7 that can be <2>
R7C7 is the only square in row 7 that can be <6>
R3C6 is the only square in row 3 that can be <6>
R2C6 can only be <5>
R7C6 can only be <1>
R5C6 can only be <4>
R5C4 can only be <8>
R5C5 can only be <1>
R2C8 is the only square in row 2 that can be <6>
R7C5 is the only square in row 7 that can be <5>
R8C2 is the only square in row 8 that can be <6>
R5C2 can only be <7>
R5C1 can only be <6>
R3C7 is the only square in column 7 that can be <5>
Squares R9C5 and R9C8 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <34>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R9C9 - removing <3> from <139> leaving <19>
Squares R8C7 and R9C9 in block 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C9 - removing <9> from <389> leaving <38>
Intersection of row 1 with block 3. The value <3> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R2C7 - removing <3> from <13> leaving <1>
R3C9 - removing <3> from <1378> leaving <178>
R8C7 can only be <9>
R5C7 can only be <3>
R9C9 can only be <1>
R9C1 can only be <5>
R5C9 can only be <9>
R9C2 can only be <9>
R1C1 can only be <7>
R2C2 can only be <8>
R7C3 can only be <8>
R3C1 can only be <1>
R1C2 can only be <5>
R3C3 can only be <3>
R2C3 can only be <9>
R7C9 can only be <3>
R8C3 can only be <1>
R7C4 can only be <9>
R1C9 can only be <8>
R9C8 can only be <4>
R9C5 can only be <3>
R8C8 can only be <8>
R1C8 can only be <3>
R3C9 can only be <7>
R3C4 can only be <4>
R2C5 can only be <7>
R2C4 can only be <3>
R8C5 can only be <4>
R3C5 can only be <8>
R8C4 can only be <7>
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