Apr 17 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C6 can only be <4>
R9C6 can only be <1>
R1C6 can only be <2>
R2C2 is the only square in row 2 that can be <3>
R3C1 is the only square in row 3 that can be <2>
R5C2 is the only square in row 5 that can be <2>
R5C3 is the only square in row 5 that can be <6>
R5C8 is the only square in row 5 that can be <9>
R6C9 is the only square in row 6 that can be <2>
R6C5 is the only square in row 6 that can be <4>
R6C2 is the only square in row 6 that can be <9>
R9C3 is the only square in row 9 that can be <9>
R4C1 is the only square in column 1 that can be <1>
Squares R3C3 and R3C7 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C5 - removing <8> from <189> leaving <19>
R3C9 - removing <8> from <189> leaving <19>
Intersection of row 2 with block 3. The value <7> only appears in one or more of squares R2C7, R2C8 and R2C9 of row 2. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R1C7 - removing <7> from <478> leaving <48>
R1C8 - removing <7> from <1478> leaving <148>
Intersection of row 7 with block 7. The value <5> 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 this value.
R8C1 - removing <5> from <4568> leaving <468>
R8C2 - removing <5> from <5678> leaving <678>
R4C2 is the only square in column 2 that can be <5>
R6C1 can only be <8>
R6C8 can only be <5>
R2C1 is the only square in row 2 that can be <5>
R3C3 can only be <8>
R3C7 can only be <5>
R1C3 can only be <7>
R1C2 can only be <6>
R7C3 can only be <5>
R9C4 is the only square in row 9 that can be <6>
R2C4 can only be <8>
R2C8 can only be <7>
R1C4 can only be <1>
R2C9 can only be <9>
R2C5 can only be <6>
R3C9 can only be <1>
R3C5 can only be <9>
R5C4 can only be <5>
R5C6 can only be <3>
R8C4 can only be <4>
R5C7 can only be <8>
R8C6 can only be <5>
R4C5 can only be <8>
R5C5 can only be <1>
R1C7 can only be <4>
R4C8 can only be <3>
R4C9 can only be <7>
R8C1 can only be <6>
R1C8 can only be <8>
R9C7 can only be <7>
R9C8 can only be <4>
R8C8 can only be <1>
R7C9 can only be <6>
R7C1 can only be <4>
R8C9 can only be <8>
R8C2 can only be <7>
R9C2 can only be <8>
R7C7 can only be <3>
R7C5 can only be <7>
R8C5 can only be <3>
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