Jun 14 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C5 can only be <4>
R4C2 can only be <1>
R6C2 can only be <3>
R9C5 can only be <8>
R5C2 can only be <6>
R3C5 can only be <7>
R3C6 can only be <8>
R5C5 can only be <5>
R7C5 can only be <9>
R3C4 can only be <1>
R5C6 can only be <7>
R5C4 can only be <8>
R7C6 can only be <3>
R2C6 can only be <9>
R8C6 can only be <2>
R2C4 can only be <3>
R5C1 can only be <2>
R5C8 can only be <1>
R5C9 can only be <3>
R4C8 is the only square in row 4 that can be <2>
R8C8 is the only square in row 8 that can be <9>
R2C3 is the only square in column 3 that can be <7>
Squares R4C1 and R6C1 in column 1 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 column.
R7C1 - removing <8> from <1458> leaving <145>
R8C1 - removing <8> from <4568> leaving <456>
Intersection of column 7 with block 9. The values <37> only appears in one or more of squares R7C7, R8C7 and R9C7 of column 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain these values.
R7C9 - removing <7> from <1578> leaving <158>
R8C9 - removing <7> from <578> leaving <58>
Squares R4C9<78>, R6C9<578> and R8C9<58> in column 9 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <578>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C9 - removing <58> from <14568> leaving <146>
R3C9 - removing <5> from <456> leaving <46>
R7C9 - removing <58> from <158> leaving <1>
R7C3 can only be <8>
R9C7 can only be <3>
R9C3 can only be <1>
R1C3 can only be <2>
R1C7 can only be <1>
R3C3 can only be <6>
R3C9 can only be <4>
R8C3 can only be <3>
R3C1 can only be <5>
R2C9 can only be <6>
R3C7 can only be <2>
R7C1 can only be <4>
R2C2 can only be <4>
R7C4 can only be <7>
R2C1 can only be <1>
R8C1 can only be <6>
R8C2 can only be <5>
R7C7 can only be <5>
R8C4 can only be <4>
R2C7 can only be <8>
R8C9 can only be <8>
R8C7 can only be <7>
R4C9 can only be <7>
R2C8 can only be <5>
R6C8 can only be <8>
R4C1 can only be <8>
R6C9 can only be <5>
R6C1 can only be <7>
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