Oct 13 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C6 can only be <5>
R5C6 is the only square in row 5 that can be <6>
R8C2 is the only square in column 2 that can be <9>
R8C5 is the only square in column 5 that can be <5>
R9C6 is the only square in column 6 that can be <3>
R5C4 is the only square in column 4 that can be <3>
R4C4 is the only square in column 4 that can be <7>
R4C5 is the only square in row 4 that can be <9>
R1C4 is the only square in column 4 that can be <9>
R2C5 is the only square in column 5 that can be <3>
R8C8 is the only square in column 8 that can be <1>
Squares R1C5 and R1C6 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <14>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R1C1 - removing <14> from <12456> leaving <256>
R1C3 - removing <14> from <12457> leaving <257>
R1C7 - removing <4> from <2457> leaving <257>
R1C9 - removing <4> from <24567> leaving <2567>
Squares R9C4 and R9C5 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <48>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R9C1 - removing <48> from <1468> leaving <16>
R9C3 - removing <48> from <148> leaving <1>
R9C7 - removing <48> from <4789> leaving <79>
R9C9 - removing <48> from <46789> leaving <679>
R9C1 can only be <6>
R1C9 is the only square in row 1 that can be <6>
R2C8 can only be <8>
R2C2 is the only square in row 2 that can be <6>
R3C1 is the only square in row 3 that can be <1>
R3C2 is the only square in row 3 that can be <3>
R7C1 is the only square in row 7 that can be <3>
R7C8 is the only square in row 7 that can be <6>
Intersection of column 1 with block 4. The values <48> only appears in one or more of squares R4C1, R5C1 and R6C1 of column 1. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain these values.
R5C2 - removing <4> from <24> leaving <2>
R7C2 can only be <4>
R4C1 can only be <8>
R8C3 can only be <8>
R8C7 can only be <4>
R7C3 can only be <2>
R2C7 can only be <2>
R2C3 can only be <4>
R4C9 can only be <2>
R1C1 is the only square in row 1 that can be <2>
R3C9 is the only square in row 3 that can be <4>
R3C7 is the only square in row 3 that can be <9>
R9C7 can only be <7>
R9C9 can only be <9>
R1C7 can only be <5>
R1C3 can only be <7>
R7C7 can only be <8>
R3C8 can only be <7>
R3C3 can only be <5>
R5C8 can only be <5>
R5C1 can only be <4>
R6C9 can only be <8>
R6C4 can only be <4>
R5C9 can only be <7>
R7C9 can only be <5>
R5C5 can only be <8>
R6C1 can only be <5>
R9C5 can only be <4>
R6C6 can only be <1>
R9C4 can only be <8>
R6C5 can only be <2>
R1C6 can only be <4>
R1C5 can only be <1>
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