Dec 25 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C4 is the only square in row 3 that can be <3>
R1C1 is the only square in row 1 that can be <3>
R4C8 is the only square in row 4 that can be <3>
R5C1 is the only square in row 5 that can be <2>
R6C6 is the only square in row 6 that can be <3>
R6C5 is the only square in row 6 that can be <8>
R3C7 is the only square in row 3 that can be <8>
R7C6 is the only square in row 7 that can be <8>
R1C4 is the only square in row 1 that can be <8>
R9C2 is the only square in row 9 that can be <8>
R9C4 is the only square in row 9 that can be <2>
R2C4 can only be <9>
R3C5 can only be <2>
R7C3 is the only square in row 7 that can be <2>
R2C8 is the only square in row 2 that can be <2>
R1C2 is the only square in row 1 that can be <2>
R6C7 is the only square in row 6 that can be <2>
R4C3 is the only square in column 3 that can be <5>
R9C9 is the only square in column 9 that can be <5>
R4C5 is the only square in block 5 that can be <9>
R7C5 can only be <5>
R8C5 can only be <6>
R8C1 is the only square in row 8 that can be <5>
Squares R8C6 and R9C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R5C6 - removing <1> from <147> leaving <47>
Squares R5C5 and R5C6 in row 5 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.
R5C9 - removing <47> from <1467> leaving <16>
R6C9 is the only square in column 9 that can be <4>
Intersection of column 1 with block 7. The value <9> only appears in one or more of squares R7C1, R8C1 and R9C1 of column 1. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R8C2 - removing <9> from <149> leaving <14>
R8C6 is the only square in row 8 that can be <9>
R9C6 can only be <1>
Intersection of column 9 with block 3. The values <79> only appears in one or more of squares R1C9, R2C9 and R3C9 of column 9. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain these values.
R1C8 - removing <79> from <679> leaving <6>
R9C8 can only be <9>
R9C1 can only be <4>
R9C7 can only be <6>
R4C1 can only be <1>
R8C2 can only be <1>
R4C4 can only be <6>
R4C7 can only be <7>
R7C1 can only be <9>
R6C3 can only be <9>
R5C4 can only be <1>
R4C2 can only be <4>
R7C7 can only be <1>
R6C8 can only be <1>
R5C9 can only be <6>
R6C2 can only be <7>
R1C3 can only be <4>
R7C8 can only be <7>
R8C7 can only be <4>
R3C2 can only be <9>
R1C6 can only be <7>
R2C3 can only be <1>
R1C9 can only be <9>
R5C6 can only be <4>
R2C5 can only be <4>
R3C9 can only be <1>
R2C9 can only be <7>
R3C3 can only be <6>
R5C5 can only be <7>
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