Nov 15 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C4 is the only square in row 2 that can be <7>
R1C2 is the only square in row 1 that can be <7>
R2C3 is the only square in row 2 that can be <8>
R2C1 is the only square in row 2 that can be <1>
R3C6 is the only square in row 3 that can be <1>
R3C7 is the only square in row 3 that can be <9>
R7C3 is the only square in row 7 that can be <1>
R7C6 is the only square in row 7 that can be <7>
R6C5 is the only square in row 6 that can be <7>
R8C7 is the only square in row 8 that can be <7>
R6C9 is the only square in column 9 that can be <1>
Squares R1C5 and R9C5 in column 5 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 column.
R4C5 - removing <45> from <1345> leaving <13>
R5C5 - removing <4> from <134> leaving <13>
Squares R5C2 and R5C5 in row 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <13>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R5C8 - removing <3> from <3469> leaving <469>
Intersection of row 2 with block 3. The values <345> only appears in one or more of squares R2C7, R2C8 and R2C9 of row 2. 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 <45> from <2456> leaving <26>
R3C9 - removing <3> from <236> leaving <26>
R2C9 is the only square in column 9 that can be <3>
Intersection of row 9 with block 9. The value <6> only appears in one or more of squares R9C7, R9C8 and R9C9 of row 9. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R8C9 - removing <6> from <246> leaving <24>
R3C9 is the only square in column 9 that can be <6>
R3C4 can only be <5>
R1C8 can only be <2>
R1C3 can only be <5>
R1C5 can only be <4>
R1C4 can only be <6>
R9C5 can only be <5>
R2C7 is the only square in column 7 that can be <5>
R2C8 can only be <4>
R7C8 is the only square in column 8 that can be <5>
R7C1 can only be <2>
R7C9 can only be <4>
R3C1 can only be <3>
R8C3 can only be <6>
R7C4 can only be <8>
R8C9 can only be <2>
R9C7 can only be <6>
R8C1 can only be <5>
R6C3 can only be <2>
R9C8 can only be <8>
R4C7 can only be <4>
R9C2 can only be <4>
R3C2 can only be <2>
R6C4 can only be <9>
R5C4 can only be <4>
R4C4 can only be <2>
R8C6 can only be <4>
R4C1 can only be <6>
R8C2 can only be <8>
R5C6 can only be <6>
R9C6 can only be <2>
R4C8 can only be <3>
R4C5 can only be <1>
R6C8 can only be <6>
R5C8 can only be <9>
R6C6 can only be <5>
R6C2 can only be <3>
R4C6 can only be <8>
R4C2 can only be <5>
R5C5 can only be <3>
R5C2 can only be <1>
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