Oct 17 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C5 can only be <4>
R8C2 can only be <2>
R9C2 can only be <6>
R2C5 is the only square in row 2 that can be <7>
R3C5 is the only square in row 3 that can be <6>
R4C9 is the only square in row 4 that can be <4>
R5C1 is the only square in row 5 that can be <6>
R6C1 is the only square in row 6 that can be <8>
R2C2 is the only square in row 2 that can be <8>
R5C8 is the only square in row 5 that can be <8>
R8C5 is the only square in row 8 that can be <3>
R1C5 can only be <8>
R7C4 is the only square in row 7 that can be <8>
R9C9 is the only square in row 9 that can be <5>
Squares R2C9 and R3C7 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <39>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C8 - removing <9> from <1249> leaving <124>
R1C9 - removing <39> from <1239> leaving <12>
R2C8 - removing <9> from <49> leaving <4>
Squares R2C1 and R4C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <39>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C1 - removing <39> from <349> leaving <4>
R7C3 is the only square in column 3 that can be <4>
R7C6 can only be <7>
R9C1 is the only square in row 9 that can be <7>
R8C1 can only be <1>
R8C8 can only be <9>
R8C9 can only be <7>
R6C7 is the only square in row 6 that can be <7>
Squares R1C9 and R6C9 in column 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R5C9 - removing <1> from <139> leaving <39>
Intersection of row 1 with block 2. The value <9> only appears in one or more of squares R1C4, R1C5 and R1C6 of row 1. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R3C4 - removing <9> from <459> leaving <45>
R3C6 - removing <9> from <349> leaving <34>
Squares R3C7 and R4C1 form a remote naked pair. <39> can be removed from any square that is common to their groups.
R4C7 - removing <39> from <239> leaving <2>
R4C3 can only be <9>
R7C7 can only be <1>
R6C9 can only be <1>
R6C3 can only be <2>
R1C9 can only be <2>
R7C5 can only be <2>
R9C8 can only be <2>
R9C5 can only be <1>
R1C8 can only be <1>
R4C1 can only be <3>
R3C3 can only be <5>
R3C4 can only be <4>
R5C3 can only be <1>
R1C2 can only be <3>
R3C6 can only be <3>
R9C4 can only be <9>
R3C7 can only be <9>
R1C6 can only be <9>
R5C7 can only be <3>
R2C9 can only be <3>
R2C1 can only be <9>
R5C2 can only be <5>
R5C9 can only be <9>
R9C6 can only be <4>
R1C4 can only be <5>
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