Jan 09 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C1 is the only square in row 5 that can be <5>
R4C7 is the only square in row 4 that can be <5>
R9C4 is the only square in row 9 that can be <5>
R7C1 is the only square in column 1 that can be <1>
R3C4 is the only square in column 4 that can be <1>
R3C6 is the only square in row 3 that can be <4>
R3C3 is the only square in row 3 that can be <2>
R3C7 is the only square in row 3 that can be <9>
R1C6 is the only square in row 1 that can be <9>
R9C6 is the only square in column 6 that can be <1>
R7C9 is the only square in column 9 that can be <3>
R8C8 can only be <7>
R2C8 can only be <3>
R9C7 can only be <2>
R7C7 can only be <6>
R7C6 can only be <2>
R2C5 is the only square in row 2 that can be <2>
R8C6 is the only square in column 6 that can be <3>
R1C4 is the only square in column 4 that can be <3>
R1C3 is the only square in block 1 that can be <6>
Squares R1C5 and R9C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C5 - removing <8> from <13468> leaving <1346>
R5C5 - removing <8> from <468> leaving <46>
R6C5 - removing <8> from <13468> leaving <1346>
R8C5 - removing <8> from <468> leaving <46>
Squares R5C5 and R8C5 in column 5 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 column.
R4C5 - removing <46> from <1346> leaving <13>
R6C5 - removing <46> from <1346> leaving <13>
Intersection of block 5 with row 5. The values <468> only appears in one or more of squares R5C4, R5C5 and R5C6 of block 5. These squares are the ones that intersect with row 5. Thus, the other (non-intersecting) squares of row 5 cannot contain these values.
R5C2 - removing <48> from <24789> leaving <279>
R5C9 - removing <468> from <4678> leaving <7>
R3C9 can only be <8>
R6C7 can only be <8>
R1C7 can only be <7>
R1C5 can only be <8>
R3C1 can only be <7>
R9C5 can only be <7>
R2C6 can only be <6>
R2C4 can only be <7>
R5C6 can only be <8>
R6C1 can only be <6>
R2C2 can only be <8>
R6C9 can only be <4>
R4C1 can only be <8>
R4C9 can only be <6>
R9C3 can only be <8>
R7C4 can only be <4>
R8C2 can only be <4>
R7C3 can only be <7>
R5C4 can only be <6>
R8C5 can only be <6>
R4C2 can only be <2>
R8C4 can only be <8>
R5C5 can only be <4>
R4C8 can only be <1>
R5C2 can only be <9>
R4C5 can only be <3>
R6C8 can only be <9>
R5C8 can only be <2>
R6C2 can only be <7>
R6C3 can only be <3>
R6C5 can only be <1>
R4C3 can only be <4>
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