Dec 14 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R6C2 can only be <5>
R4C2 is the only square in row 4 that can be <8>
R5C2 can only be <7>
R1C3 is the only square in row 1 that can be <8>
R1C2 is the only square in row 1 that can be <9>
R5C6 is the only square in row 5 that can be <8>
R7C9 is the only square in row 7 that can be <8>
R7C7 is the only square in row 7 that can be <3>
R8C6 is the only square in row 8 that can be <5>
R9C5 is the only square in row 9 that can be <3>
R9C8 is the only square in row 9 that can be <7>
R5C1 is the only square in column 1 that can be <3>
R5C5 is the only square in column 5 that can be <5>
R4C5 is the only square in column 5 that can be <7>
R7C4 is the only square in column 4 that can be <7>
R5C4 is the only square in column 4 that can be <9>
R6C8 is the only square in row 6 that can be <9>
Squares R7C3 and R7C6 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R7C1 - removing <2> from <246> leaving <46>
Squares R1C4 and R4C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C4 - removing <12> from <1245> leaving <45>
R3C4 - removing <1> from <145> leaving <45>
Squares R7C6 and R9C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R6C6 - removing <2> from <126> leaving <16>
Squares R3C6<16>, R3C7<19>, R3C8<136> and R3C9<1369> in row 3 form a comprehensive naked quad. These 4 squares can only contain the 4 possibilities <1369>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C1 - removing <16> from <14567> leaving <457>
R3C3 - removing <1> from <17> leaving <7>
R8C1 is the only square in row 8 that can be <7>
R6C1 is the only square in column 1 that can be <2>
R6C5 can only be <6>
R5C3 can only be <1>
R6C6 can only be <1>
R1C5 can only be <2>
R3C6 can only be <6>
R4C4 can only be <2>
R1C4 can only be <1>
R1C1 can only be <6>
R7C1 can only be <4>
R2C2 can only be <4>
R2C4 can only be <5>
R7C2 can only be <6>
R3C1 can only be <5>
R2C1 can only be <1>
R3C4 can only be <4>
R2C7 can only be <2>
R2C9 can only be <6>
R5C7 can only be <4>
R5C9 can only be <2>
R9C7 can only be <9>
R5C8 can only be <6>
R9C6 can only be <2>
R9C9 can only be <4>
R3C7 can only be <1>
R8C9 can only be <1>
R3C8 can only be <3>
R3C9 can only be <9>
R4C8 can only be <1>
R4C9 can only be <3>
R8C8 can only be <2>
R8C3 can only be <9>
R7C6 can only be <9>
R7C3 can only be <2>
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