Dec 07 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C5 can only be <3>
R9C9 can only be <1>
R9C5 can only be <7>
R1C7 is the only square in row 1 that can be <2>
R6C5 is the only square in row 6 that can be <1>
R7C8 is the only square in row 7 that can be <7>
R8C7 is the only square in row 8 that can be <6>
R2C6 is the only square in block 2 that can be <6>
R4C5 is the only square in row 4 that can be <6>
R5C5 can only be <4>
Squares R2C4 and R3C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <25>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R5C4 - removing <5> from <3589> leaving <389>
R6C4 - removing <5> from <359> leaving <39>
Squares R1C1 and R1C3 in block 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <45>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R2C1 - removing <5> from <1359> leaving <139>
R2C3 - removing <5> from <13579> leaving <1379>
R3C1 - removing <5> from <135> leaving <13>
R3C3 - removing <5> from <1356> leaving <136>
Intersection of row 6 with block 4. The value <4> only appears in one or more of squares R6C1, R6C2 and R6C3 of row 6. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R4C1 - removing <4> from <3459> leaving <359>
R1C1 is the only square in column 1 that can be <4>
R1C3 can only be <5>
R6C9 is the only square in row 6 that can be <5>
R7C9 can only be <9>
R4C8 can only be <4>
R7C2 can only be <3>
R8C9 can only be <2>
R5C9 can only be <3>
R8C8 can only be <8>
R4C7 can only be <9>
R8C4 can only be <3>
R7C7 can only be <5>
R9C7 can only be <4>
R9C3 can only be <8>
R5C7 can only be <1>
R5C8 can only be <2>
R2C7 can only be <3>
R8C6 can only be <1>
R6C4 can only be <9>
R7C6 can only be <8>
R7C3 can only be <1>
R3C7 can only be <8>
R6C2 can only be <4>
R5C4 can only be <8>
R5C6 can only be <5>
R5C1 can only be <9>
R4C6 can only be <3>
R6C3 can only be <3>
R8C2 can only be <9>
R3C3 can only be <6>
R4C1 can only be <5>
R8C3 can only be <4>
R3C2 can only be <2>
R5C3 can only be <7>
R2C1 can only be <1>
R5C2 can only be <6>
R2C3 can only be <9>
R2C8 can only be <5>
R3C1 can only be <3>
R2C4 can only be <2>
R3C8 can only be <1>
R3C4 can only be <5>
R2C2 can only be <7>
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