Dec 16 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R6C2 can only be <9>
R4C2 can only be <6>
R5C2 can only be <3>
R8C2 can only be <1>
R3C2 can only be <8>
R1C9 is the only square in row 1 that can be <5>
R4C5 is the only square in row 4 that can be <5>
R3C5 can only be <1>
R3C4 is the only square in row 3 that can be <5>
R5C3 is the only square in row 5 that can be <5>
R6C4 is the only square in row 6 that can be <1>
R6C5 is the only square in row 6 that can be <8>
R7C6 is the only square in row 7 that can be <1>
Intersection of row 6 with block 4. The value <7> 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.
R5C1 - removing <7> from <247> leaving <24>
Intersection of column 6 with block 5. The value <9> only appears in one or more of squares R4C6, R5C6 and R6C6 of column 6. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R5C4 - removing <9> from <249> leaving <24>
Squares R5C1 and R5C4 in row 5 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 row.
R5C5 - removing <2> from <27> leaving <7>
R5C6 - removing <24> from <2479> leaving <79>
R5C7 - removing <24> from <1246789> leaving <16789>
R5C8 - removing <24> from <2469> leaving <69>
R5C9 - removing <4> from <1478> leaving <178>
R5C6 can only be <9>
R7C5 can only be <2>
R5C8 can only be <6>
R7C4 can only be <9>
R2C7 is the only square in row 2 that can be <6>
R8C7 is the only square in row 8 that can be <2>
R8C6 is the only square in column 6 that can be <7>
R8C1 can only be <4>
R8C3 can only be <6>
R5C1 can only be <2>
R8C4 can only be <8>
R9C4 can only be <6>
R5C4 can only be <4>
R6C1 can only be <7>
R2C4 can only be <2>
R4C6 can only be <2>
R6C3 can only be <4>
R6C8 can only be <2>
R1C6 can only be <3>
R1C1 can only be <9>
R3C6 can only be <4>
R2C6 can only be <8>
R1C7 can only be <1>
R9C1 can only be <3>
R3C3 can only be <3>
R1C3 can only be <2>
R5C7 can only be <8>
R2C9 can only be <4>
R2C8 can only be <3>
R4C9 can only be <7>
R3C7 can only be <9>
R2C3 can only be <1>
R7C3 can only be <7>
R4C7 can only be <4>
R9C9 can only be <8>
R5C9 can only be <1>
R9C3 can only be <9>
R9C7 can only be <7>
R7C8 can only be <4>
R4C8 can only be <9>
R7C7 can only be <3>
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