Jan 23 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C1 can only be <5>
R5C6 can only be <8>
R1C4 is the only square in row 1 that can be <8>
R2C1 is the only square in row 2 that can be <8>
R4C9 is the only square in row 4 that can be <5>
R4C8 is the only square in row 4 that can be <4>
R6C6 is the only square in row 6 that can be <1>
R6C3 is the only square in column 3 that can be <3>
R4C5 is the only square in column 5 that can be <3>
R5C4 can only be <2>
R5C8 can only be <3>
R4C2 is the only square in row 4 that can be <2>
R2C4 is the only square in column 4 that can be <3>
R7C5 is the only square in column 5 that can be <8>
R9C6 is the only square in column 6 that can be <5>
Squares R3C4 and R4C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R7C4 - removing <67> from <1467> leaving <14>
R8C4 - removing <67> from <1467> leaving <14>
Intersection of row 4 with block 5. The value <6> only appears in one or more of squares R4C4, R4C5 and R4C6 of row 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R6C5 - removing <6> from <679> leaving <79>
Intersection of block 2 with row 3. The values <679> only appears in one or more of squares R3C4, R3C5 and R3C6 of block 2. These squares are the ones that intersect with row 3. Thus, the other (non-intersecting) squares of row 3 cannot contain these values.
R3C1 - removing <679> from <1679> leaving <1>
R3C3 - removing <679> from <45679> leaving <45>
R3C7 - removing <69> from <24569> leaving <245>
R3C8 - removing <679> from <12679> leaving <12>
R3C8 can only be <2>
Squares R9C1 and R9C5 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R9C3 - removing <67> from <467> leaving <4>
R9C7 - removing <6> from <2346> leaving <234>
R9C8 - removing <67> from <167> leaving <1>
R9C9 - removing <67> from <123467> leaving <1234>
R3C3 can only be <5>
R3C7 can only be <4>
R1C7 is the only square in row 1 that can be <5>
R1C9 is the only square in row 1 that can be <3>
R9C9 can only be <2>
R9C7 can only be <3>
R6C9 can only be <6>
R6C8 can only be <8>
R6C7 can only be <2>
R2C9 is the only square in row 2 that can be <1>
R2C2 is the only square in row 2 that can be <4>
R8C2 is the only square in row 8 that can be <5>
R8C4 is the only square in row 8 that can be <1>
R7C4 can only be <4>
R7C9 can only be <7>
R7C6 can only be <6>
R8C9 can only be <4>
R7C7 can only be <9>
R9C5 can only be <7>
R7C2 can only be <1>
R2C7 can only be <6>
R8C8 can only be <6>
R8C7 can only be <8>
R9C1 can only be <6>
R6C5 can only be <9>
R6C2 can only be <7>
R3C5 can only be <6>
R4C6 can only be <7>
R3C4 can only be <7>
R4C1 can only be <9>
R4C4 can only be <6>
R3C6 can only be <9>
R1C2 can only be <9>
R1C8 can only be <7>
R2C3 can only be <7>
R1C3 can only be <6>
R2C8 can only be <9>
R8C3 can only be <9>
R8C1 can only be <7>
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