Feb 28 - Very Hard

Puzzle Copyright © Kevin Stone

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## Reasoning

R4C6 can only be <6>

R6C6 can only be <7>

R5C6 can only be <1>

R2C6 can only be <9>

R8C6 can only be <8>

R2C8 is the only square in row 2 that can be <3>

R4C8 is the only square in row 4 that can be <9>

R5C5 is the only square in row 5 that can be <5>

R6C2 is the only square in row 6 that can be <8>

R9C1 is the only square in column 1 that can be <6>

R9C9 can only be <8>

R1C9 can only be <2>

R5C9 can only be <6>

R1C7 is the only square in row 1 that can be <8>

R1C3 is the only square in row 1 that can be <9>

R2C3 is the only square in row 2 that can be <2>

R3C7 is the only square in row 3 that can be <9>

R7C3 is the only square in row 7 that can be <8>

R8C7 is the only square in row 8 that can be <6>

Squares R2C7 and R9C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R7C7 - removing <7> from <247> leaving <24>

Intersection of column 5 with block 2. The values <46> only appears in one or more of squares R1C5, R2C5 and R3C5 of column 5. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.

R2C4 - removing <4> from <147> leaving <17>

Squares R2C4 and R2C7 in row 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R2C2 - removing <7> from <467> leaving <46>

R2C5 - removing <17> from <1467> leaving <46>

Intersection of column 5 with block 8. The values <23> only appears in one or more of squares R7C5, R8C5 and R9C5 of column 5. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain these values.

R8C4 - removing <2> from <127> leaving <17>

Squares R3C8 and R8C4 form a remote naked pair. <17> can be removed from any square that is common to their groups.

R8C8 - removing <17> from <1247> leaving <24>

R3C8 is the only square in column 8 that can be <1>

R2C7 can only be <7>

R2C4 can only be <1>

R9C7 can only be <1>

R8C4 can only be <7>

R9C5 can only be <3>

R9C3 can only be <7>

R7C5 can only be <2>

R7C7 can only be <4>

R8C5 can only be <1>

R7C8 can only be <7>

R5C7 can only be <2>

R8C8 can only be <2>

R7C2 can only be <3>

R6C8 can only be <4>

R3C3 can only be <5>

R8C3 can only be <4>

R6C4 can only be <2>

R4C2 can only be <4>

R8C2 can only be <5>

R5C3 can only be <3>

R4C4 can only be <3>

R2C2 can only be <6>

R5C1 can only be <7>

R5C4 can only be <4>

R1C1 can only be <4>

R1C5 can only be <7>

R3C5 can only be <6>

R2C5 can only be <4>

R3C2 can only be <7>

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