May 17 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C6 is the only square in row 4 that can be <9>
R5C9 is the only square in row 5 that can be <5>
R8C4 is the only square in row 8 that can be <8>
R8C6 is the only square in row 8 that can be <5>
R2C4 is the only square in row 2 that can be <5>
R3C7 is the only square in row 3 that can be <5>
R6C5 is the only square in row 6 that can be <5>
R7C3 is the only square in row 7 that can be <5>
R9C9 is the only square in row 9 that can be <9>
R6C6 is the only square in column 6 that can be <6>
R6C4 is the only square in row 6 that can be <2>
R2C9 is the only square in column 9 that can be <7>
R2C1 is the only square in row 2 that can be <8>
R1C9 is the only square in column 9 that can be <8>
Squares R1C3 and R1C5 in row 1 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.
R1C1 - removing <34> from <2346> leaving <26>
R1C7 - removing <4> from <246> leaving <26>
Squares R4C4 and R4C5 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <37>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C2 - removing <3> from <1346> leaving <146>
R4C3 - removing <37> from <13478> leaving <148>
R4C8 - removing <37> from <3467> leaving <46>
Intersection of row 8 with block 7. The value <1> only appears in one or more of squares R8C1, R8C2 and R8C3 of row 8. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R7C1 - removing <1> from <1347> leaving <347>
R9C1 - removing <1> from <1247> leaving <247>
R9C3 - removing <1> from <147> leaving <47>
R9C7 is the only square in row 9 that can be <1>
R9C1 is the only square in row 9 that can be <2>
R1C1 can only be <6>
R1C7 can only be <2>
R2C8 can only be <4>
R4C8 can only be <6>
R3C9 can only be <6>
R3C6 is the only square in row 3 that can be <2>
R2C6 can only be <1>
R2C2 can only be <2>
R7C6 can only be <4>
R3C4 can only be <3>
R4C4 can only be <7>
R1C5 can only be <4>
R4C5 can only be <3>
R7C4 can only be <1>
R7C7 can only be <6>
R7C9 can only be <3>
R9C5 can only be <7>
R7C1 can only be <7>
R8C9 can only be <4>
R8C8 can only be <2>
R9C3 can only be <4>
R1C3 can only be <3>
R5C1 can only be <3>
R3C3 can only be <1>
R3C1 can only be <4>
R4C3 can only be <8>
R4C7 can only be <4>
R6C3 can only be <7>
R4C2 can only be <1>
R6C7 can only be <8>
R5C2 can only be <6>
R5C8 can only be <7>
R8C1 can only be <1>
R6C2 can only be <4>
R6C8 can only be <3>
R8C2 can only be <3>
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