Sep 07 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C2 can only be <5>
R4C2 can only be <3>
R8C2 can only be <7>
R4C3 can only be <1>
R6C1 can only be <2>
R6C8 can only be <6>
R5C1 can only be <5>
R6C4 can only be <7>
R7C8 can only be <2>
R2C8 can only be <5>
R5C3 can only be <9>
R6C7 can only be <3>
R6C5 can only be <1>
R4C5 is the only square in row 4 that can be <6>
R5C6 is the only square in row 5 that can be <3>
R5C7 is the only square in row 5 that can be <7>
R8C9 is the only square in column 9 that can be <1>
Squares R2C4 and R5C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R3C4 - removing <4> from <489> leaving <89>
R7C4 - removing <4> from <468> leaving <68>
R9C4 - removing <4> from <4689> leaving <689>
Squares R4C9 and R5C9 in column 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C9 - removing <2> from <268> leaving <68>
R7C9 - removing <4> from <3468> leaving <368>
R9C9 - removing <4> from <3468> leaving <368>
Squares R3C4<89>, R3C5<49> and R3C6<48> in row 3 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <489>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C1 - removing <4> from <146> leaving <16>
R3C7 - removing <8> from <168> leaving <16>
Intersection of row 3 with block 2. The values <489> only appears in one or more of squares R3C4, R3C5 and R3C6 of row 3. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.
R1C6 - removing <8> from <2578> leaving <257>
R2C4 - removing <4> from <24> leaving <2>
R2C5 - removing <4> from <2347> leaving <237>
R2C7 can only be <1>
R5C4 can only be <4>
R3C7 can only be <6>
R3C1 can only be <1>
R8C7 can only be <4>
R1C9 can only be <8>
R5C9 can only be <2>
R4C6 can only be <2>
R4C9 can only be <4>
R9C7 can only be <8>
R1C7 can only be <2>
R8C6 can only be <5>
R8C3 can only be <6>
R8C5 can only be <2>
R1C6 can only be <7>
R2C5 can only be <3>
R2C1 can only be <4>
R1C5 can only be <5>
R1C3 can only be <3>
R1C1 can only be <6>
R7C3 can only be <4>
R2C3 can only be <7>
R9C1 can only be <3>
R7C5 can only be <7>
R7C6 can only be <8>
R9C3 can only be <5>
R7C4 can only be <6>
R3C6 can only be <4>
R9C9 can only be <6>
R9C4 can only be <9>
R7C9 can only be <3>
R3C5 can only be <9>
R9C5 can only be <4>
R3C4 can only be <8>
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