Feb 27 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C3 can only be <5>
R7C8 is the only square in row 7 that can be <9>
R7C4 is the only square in row 7 that can be <7>
R9C1 is the only square in row 9 that can be <6>
Squares R3C6 and R3C7 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <28>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C2 - removing <28> from <1278> leaving <17>
R3C8 - removing <8> from <378> leaving <37>
Squares R3C3 and R8C3 in column 3 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 column.
R1C3 - removing <3> from <36> leaving <6>
R2C3 - removing <3> from <3469> leaving <469>
R6C3 - removing <1> from <1469> leaving <469>
Squares R3C6 and R9C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <28>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C6 - removing <28> from <258> leaving <5>
R4C6 - removing <2> from <12567> leaving <1567>
R5C6 - removing <8> from <1568> leaving <156>
R6C6 - removing <8> from <15678> leaving <1567>
R1C9 is the only square in row 1 that can be <5>
R8C9 is the only square in column 9 that can be <7>
R3C8 is the only square in column 8 that can be <7>
R3C2 can only be <1>
R3C3 can only be <3>
R8C3 can only be <1>
R8C1 is the only square in column 1 that can be <3>
Squares R7C2 and R8C2 in column 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <28>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C2 - removing <28> from <278> leaving <7>
R2C2 - removing <28> from <248> leaving <4>
R2C3 can only be <9>
R6C3 can only be <4>
Squares R3C7 and R7C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <28>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C7 - removing <28> from <268> leaving <6>
R8C7 - removing <28> from <2458> leaving <45>
R9C7 - removing <28> from <1248> leaving <14>
Squares R4C9<19>, R5C9<189> and R6C9<189> in column 9 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <189>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C9 - removing <8> from <238> leaving <23>
R9C9 - removing <18> from <1238> leaving <23>
R9C7 is the only square in row 9 that can be <1>
Intersection of column 9 with block 6. The values <189> only appears in one or more of squares R4C9, R5C9 and R6C9 of column 9. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.
R5C8 - removing <8> from <4568> leaving <456>
Squares R7C7 and R9C6 form a remote naked pair. <28> can be removed from any square that is common to their groups.
R9C8 - removing <8> from <348> leaving <34>
R9C9 - removing <2> from <23> leaving <3>
R9C8 can only be <4>
R2C9 can only be <2>
R2C1 can only be <8>
R3C7 can only be <8>
R3C6 can only be <2>
R7C7 can only be <2>
R2C8 can only be <3>
R7C2 can only be <8>
R8C7 can only be <5>
R1C1 can only be <2>
R9C6 can only be <8>
R8C2 can only be <2>
R8C8 can only be <8>
R4C7 can only be <4>
R8C4 can only be <4>
R9C5 can only be <2>
R4C5 can only be <5>
R4C8 can only be <6>
R6C5 can only be <8>
R5C8 can only be <5>
R5C2 can only be <6>
R6C4 can only be <9>
R1C5 can only be <3>
R1C4 can only be <8>
R5C5 can only be <4>
R5C6 can only be <1>
R6C2 can only be <5>
R5C1 can only be <9>
R4C6 can only be <7>
R6C9 can only be <1>
R4C4 can only be <2>
R5C4 can only be <3>
R6C1 can only be <7>
R4C9 can only be <9>
R6C6 can only be <6>
R4C1 can only be <1>
R5C9 can only be <8>
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