Dec 22 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C4 can only be <5>
R1C8 is the only square in row 1 that can be <3>
R5C3 is the only square in row 5 that can be <7>
R6C7 is the only square in row 6 that can be <3>
R5C2 is the only square in row 5 that can be <3>
R5C1 is the only square in row 5 that can be <9>
R7C8 is the only square in row 7 that can be <2>
R7C3 is the only square in row 7 that can be <6>
R8C5 is the only square in row 8 that can be <3>
R1C1 is the only square in column 1 that can be <6>
R1C2 is the only square in row 1 that can be <4>
R9C2 is the only square in column 2 that can be <5>
R9C5 is the only square in row 9 that can be <9>
R4C1 is the only square in column 1 that can be <5>
R5C9 is the only square in column 9 that can be <5>
R1C9 is the only square in column 9 that can be <7>
R1C5 can only be <8>
R2C5 can only be <5>
R3C4 can only be <2>
R5C4 can only be <8>
R3C7 is the only square in row 3 that can be <5>
R5C5 is the only square in row 5 that can be <2>
R6C5 is the only square in column 5 that can be <1>
R9C9 is the only square in column 9 that can be <1>
Squares R7C5 and R7C6 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <47>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R7C7 - removing <4> from <489> leaving <89>
Squares R4C9 and R6C9 in block 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <28>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C7 - removing <8> from <468> leaving <46>
Squares R4C5 and R4C7 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C3 - removing <4> from <248> leaving <28>
Squares R4C3, R4C9, R6C3 and R6C9 form a Type-1 Unique Rectangle on <28>.
R6C3 - removing <28> from <248> leaving <4>
R6C1 can only be <8>
R8C3 can only be <9>
R8C7 can only be <4>
R7C2 can only be <8>
R4C7 can only be <6>
R9C8 can only be <8>
R9C1 can only be <4>
R3C8 can only be <1>
R7C7 can only be <9>
R3C3 can only be <8>
R5C8 can only be <4>
R2C7 can only be <8>
R4C5 can only be <4>
R5C7 can only be <1>
R5C6 can only be <6>
R6C9 can only be <2>
R4C3 can only be <2>
R4C9 can only be <8>
R3C2 can only be <9>
R2C3 can only be <1>
R7C5 can only be <7>
R3C6 can only be <7>
R7C6 can only be <4>
R3C5 can only be <6>
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