Jan 17 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C4 can only be <9>
R3C4 can only be <1>
R2C4 can only be <4>
R1C9 is the only square in row 1 that can be <3>
R3C3 is the only square in row 3 that can be <9>
R9C3 is the only square in row 9 that can be <8>
R9C1 is the only square in column 1 that can be <9>
R5C1 is the only square in column 1 that can be <4>
R2C1 is the only square in column 1 that can be <7>
R7C7 is the only square in column 7 that can be <1>
R8C7 is the only square in column 7 that can be <9>
Squares R8C2 and R8C6 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <45>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R8C3 - removing <5> from <57> leaving <7>
R8C8 - removing <45> from <24567> leaving <267>
R8C9 - removing <5> from <2567> leaving <267>
Squares R1C5 and R3C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C5 - removing <26> from <2369> leaving <39>
R5C5 - removing <26> from <1267> leaving <17>
R6C5 - removing <2> from <12347> leaving <1347>
Intersection of column 4 with block 5. The values <578> only appears in one or more of squares R4C4, R5C4 and R6C4 of column 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.
R4C6 - removing <5> from <2569> leaving <269>
R5C5 - removing <7> from <17> leaving <1>
R5C6 - removing <5> from <1256> leaving <126>
R6C5 - removing <7> from <1347> leaving <134>
R6C6 - removing <5> from <1245> leaving <124>
R6C2 is the only square in row 6 that can be <1>
R2C3 is the only square in row 2 that can be <1>
R6C5 is the only square in row 6 that can be <3>
R4C5 can only be <9>
R4C3 is the only square in row 4 that can be <3>
R7C3 can only be <5>
R5C3 can only be <2>
R8C2 can only be <4>
R8C6 can only be <5>
R7C2 can only be <3>
R5C6 can only be <6>
R4C1 can only be <5>
R4C6 can only be <2>
R4C4 can only be <8>
R1C1 can only be <2>
R4C8 can only be <6>
R6C6 can only be <4>
R8C8 can only be <2>
R7C6 can only be <9>
R9C6 can only be <1>
R8C9 can only be <6>
R2C8 can only be <8>
R1C5 can only be <6>
R3C5 can only be <2>
R2C2 can only be <6>
R1C7 can only be <5>
R1C2 can only be <8>
R3C8 can only be <7>
R2C7 can only be <2>
R3C2 can only be <5>
R6C7 can only be <7>
R3C7 can only be <6>
R7C8 can only be <4>
R6C4 can only be <5>
R5C7 can only be <8>
R5C9 can only be <5>
R7C5 can only be <7>
R9C8 can only be <5>
R9C9 can only be <7>
R9C5 can only be <4>
R5C4 can only be <7>
R6C9 can only be <2>
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