Oct 21 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R6C1 can only be <5>
R6C4 can only be <4>
R6C6 can only be <7>
R3C8 is the only square in row 3 that can be <7>
R9C3 is the only square in row 9 that can be <7>
R5C2 is the only square in row 5 that can be <7>
R1C1 is the only square in column 1 that can be <2>
Squares R1C4 and R1C6 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R1C3 - removing <59> from <13459> leaving <134>
R1C9 - removing <9> from <1349> leaving <134>
R3C9 is the only square in column 9 that can be <9>
R3C7 is the only square in row 3 that can be <8>
Squares R1C4 and R1C6 in block 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R2C5 - removing <9> from <469> leaving <46>
R3C5 - removing <5> from <456> leaving <46>
Squares R2C5 and R3C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C5 - removing <6> from <1689> leaving <189>
R7C5 - removing <6> from <5689> leaving <589>
R7C7 is the only square in row 7 that can be <6>
Intersection of row 3 with block 1. The values <35> only appears in one or more of squares R3C1, R3C2 and R3C3 of row 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain these values.
R1C3 - removing <3> from <134> leaving <14>
Intersection of row 9 with block 9. The value <1> 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.
R7C8 - removing <1> from <123> leaving <23>
R7C9 - removing <1> from <1238> leaving <238>
R2C8 is the only square in column 8 that can be <1>
R1C3 is the only square in row 1 that can be <1>
R2C7 is the only square in row 2 that can be <2>
R7C2 is the only square in row 7 that can be <1>
R9C7 is the only square in column 7 that can be <1>
R8C7 is the only square in column 7 that can be <5>
R8C2 can only be <9>
R8C5 can only be <8>
R2C2 can only be <6>
R2C5 can only be <4>
R3C2 can only be <5>
R2C3 can only be <9>
R3C5 can only be <6>
R5C3 can only be <8>
R4C1 can only be <9>
R4C5 can only be <1>
R4C9 can only be <3>
R6C5 can only be <2>
R4C4 can only be <6>
R1C9 can only be <4>
R5C7 can only be <4>
R5C8 can only be <2>
R1C7 can only be <3>
R7C8 can only be <3>
R6C9 can only be <1>
R7C1 can only be <8>
R7C3 can only be <5>
R8C8 can only be <4>
R8C3 can only be <3>
R9C9 can only be <8>
R9C1 can only be <4>
R7C9 can only be <2>
R4C6 can only be <8>
R9C4 can only be <5>
R7C5 can only be <9>
R5C5 can only be <5>
R3C3 can only be <4>
R3C1 can only be <3>
R9C6 can only be <6>
R1C4 can only be <9>
R1C6 can only be <5>
R5C4 can only be <3>
R5C6 can only be <9>
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