Mar 15 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C1 is the only square in row 1 that can be <3>
R3C4 is the only square in row 3 that can be <3>
R7C3 is the only square in row 7 that can be <3>
R8C9 is the only square in row 8 that can be <3>
R6C8 is the only square in row 6 that can be <3>
R8C1 is the only square in row 8 that can be <8>
R8C2 is the only square in row 8 that can be <9>
R3C6 is the only square in column 6 that can be <8>
R3C7 can only be <5>
Squares R1C5, R2C5 and R8C5 in column 5 form a simple naked triplet. These 3 squares all contain the 3 possibilities <246>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R9C5 - removing <46> from <4567> leaving <57>
Intersection of row 1 with block 3. The values <89> 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 these values.
R2C8 - removing <9> from <1279> leaving <127>
R2C9 - removing <9> from <124679> leaving <12467>
R3C8 - removing <9> from <29> leaving <2>
R3C9 - removing <9> from <269> leaving <26>
R3C9 can only be <6>
R3C3 can only be <9>
Squares R4C7 and R4C8 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C2 - removing <7> from <2567> leaving <256>
R4C6 - removing <7> from <79> leaving <9>
R4C9 - removing <7> from <257> leaving <25>
R2C6 can only be <6>
R6C4 can only be <5>
R6C3 can only be <2>
R5C5 can only be <7>
R8C6 can only be <1>
R9C5 can only be <5>
R2C3 can only be <5>
R8C7 can only be <4>
R7C6 can only be <7>
R8C4 can only be <2>
R1C7 can only be <8>
R9C3 can only be <6>
R1C8 can only be <9>
R4C7 can only be <7>
R1C9 can only be <4>
R1C5 can only be <2>
R2C1 can only be <2>
R4C8 can only be <8>
R7C7 can only be <1>
R6C9 can only be <1>
R6C1 can only be <9>
R6C2 can only be <7>
R2C9 can only be <7>
R5C9 can only be <5>
R9C8 can only be <7>
R8C5 can only be <6>
R7C4 can only be <4>
R9C2 can only be <1>
R9C9 can only be <9>
R2C8 can only be <1>
R1C2 can only be <6>
R2C5 can only be <4>
R2C4 can only be <9>
R5C1 can only be <1>
R4C9 can only be <2>
R7C1 can only be <5>
R9C1 can only be <4>
R4C2 can only be <5>
R4C1 can only be <6>
R7C2 can only be <2>
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