Jan 06 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C1 can only be <7>
R4C3 can only be <4>
R4C5 can only be <3>
R5C1 can only be <5>
R4C9 can only be <1>
R6C5 can only be <9>
R4C7 can only be <6>
R5C2 can only be <3>
R6C1 can only be <8>
R6C3 can only be <2>
R7C8 is the only square in row 7 that can be <2>
R9C8 is the only square in row 9 that can be <3>
R3C7 is the only square in row 3 that can be <3>
R6C7 can only be <5>
R6C9 can only be <3>
R3C8 is the only square in row 3 that can be <9>
R5C8 can only be <4>
R5C9 can only be <9>
R7C6 is the only square in row 7 that can be <5>
R9C4 is the only square in row 9 that can be <9>
R3C6 is the only square in column 6 that can be <8>
R7C4 is the only square in column 4 that can be <8>
R7C3 can only be <9>
R8C7 is the only square in row 8 that can be <9>
Intersection of row 1 with block 2. The value <4> only appears in one or more of squares R1C4, R1C5 and R1C6 of row 1. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R2C5 - removing <4> from <1247> leaving <127>
Intersection of column 4 with block 2. The value <1> only appears in one or more of squares R1C4, R2C4 and R3C4 of column 4. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R1C5 - removing <1> from <124> leaving <24>
R2C5 - removing <1> from <127> leaving <27>
Squares R2C1<16>, R3C2<17> and R3C3<67> in block 1 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <167>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C2 - removing <1> from <125> leaving <25>
R2C2 - removing <17> from <12578> leaving <258>
R2C3 - removing <67> from <678> leaving <8>
R2C5 is the only square in row 2 that can be <7>
R2C2 is the only square in row 2 that can be <2>
R1C2 can only be <5>
R1C5 is the only square in row 1 that can be <2>
R1C6 is the only square in row 1 that can be <4>
R9C6 can only be <7>
R5C6 can only be <6>
R5C4 can only be <7>
R8C2 is the only square in row 8 that can be <8>
R8C3 is the only square in row 8 that can be <7>
R3C3 can only be <6>
R3C4 can only be <1>
R2C1 can only be <1>
R3C2 can only be <7>
R1C4 can only be <6>
R1C8 can only be <1>
R8C8 can only be <5>
R2C7 can only be <4>
R8C1 can only be <6>
R2C9 can only be <5>
R7C7 can only be <1>
R2C8 can only be <6>
R8C9 can only be <4>
R7C2 can only be <4>
R8C5 can only be <1>
R9C2 can only be <1>
R9C5 can only be <4>
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