Aug 28 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C6 can only be <7>
R9C3 can only be <2>
R2C9 can only be <4>
R3C3 can only be <5>
R7C1 can only be <1>
R8C1 can only be <5>
R1C3 can only be <4>
R1C2 can only be <3>
R7C3 can only be <8>
R5C1 can only be <4>
R5C3 can only be <1>
R2C2 is the only square in row 2 that can be <8>
R5C5 is the only square in row 5 that can be <8>
R6C4 is the only square in row 6 that can be <4>
R8C9 is the only square in row 8 that can be <8>
R9C8 is the only square in row 9 that can be <4>
R9C7 is the only square in row 9 that can be <9>
Squares R8C2 and R8C4 in row 8 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.
R8C6 - removing <6> from <236> leaving <23>
R8C8 - removing <7> from <237> leaving <23>
R4C8 is the only square in column 8 that can be <7>
R5C4 is the only square in row 5 that can be <7>
R8C4 can only be <6>
R8C2 can only be <7>
R9C5 can only be <7>
R9C2 can only be <6>
Squares R1C7 and R5C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <56>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R3C7 - removing <6> from <267> leaving <27>
Intersection of row 4 with block 5. The values <16> 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 these values.
R5C6 - removing <6> from <356> leaving <35>
R4C6 is the only square in column 6 that can be <6>
R4C2 is the only square in row 4 that can be <5>
R6C2 can only be <9>
Squares R6C5 and R8C8 form a remote naked pair. <23> can be removed from any square that is common to their groups.
R6C8 - removing <3> from <35> leaving <5>
R1C8 can only be <1>
R5C7 can only be <6>
R1C5 can only be <6>
R2C8 can only be <2>
R2C1 can only be <9>
R8C8 can only be <3>
R3C7 can only be <7>
R3C9 can only be <6>
R7C7 can only be <2>
R3C5 can only be <9>
R5C9 can only be <3>
R1C7 can only be <5>
R5C6 can only be <5>
R7C9 can only be <7>
R7C5 can only be <3>
R8C6 can only be <2>
R2C4 can only be <1>
R3C1 can only be <2>
R4C4 can only be <9>
R4C5 can only be <1>
R6C5 can only be <2>
R6C6 can only be <3>
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