May 29 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C6 can only be <6>
R5C9 can only be <9>
R5C3 can only be <1>
R5C7 can only be <4>
R5C1 can only be <3>
R2C5 is the only square in row 2 that can be <8>
R4C9 is the only square in row 4 that can be <2>
R6C8 is the only square in row 6 that can be <8>
R7C2 is the only square in row 7 that can be <8>
R4C3 is the only square in row 4 that can be <8>
R8C5 is the only square in row 8 that can be <4>
R9C8 is the only square in row 9 that can be <4>
R3C4 is the only square in column 4 that can be <5>
R1C5 is the only square in block 2 that can be <7>
R4C5 can only be <6>
R4C4 is the only square in row 4 that can be <7>
R4C2 is the only square in block 4 that can be <9>
R4C6 can only be <4>
R4C1 can only be <5>
R6C1 can only be <4>
R3C2 is the only square in row 3 that can be <4>
Squares R1C6 and R3C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <23>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R6C6 - removing <3> from <139> leaving <19>
R7C6 - removing <23> from <1239> leaving <19>
Intersection of row 9 with block 8. The value <3> only appears in one or more of squares R9C4, R9C5 and R9C6 of row 9. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R7C4 - removing <3> from <2369> leaving <269>
Intersection of column 2 with block 7. The value <1> only appears in one or more of squares R7C2, R8C2 and R9C2 of column 2. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R7C1 - removing <1> from <1267> leaving <267>
R8C1 - removing <1> from <167> leaving <67>
Intersection of column 3 with block 1. The values <79> only appears in one or more of squares R1C3, R2C3 and R3C3 of column 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain these values.
R2C1 - removing <7> from <17> leaving <1>
R3C1 - removing <7> from <1267> leaving <126>
R3C9 is the only square in row 3 that can be <1>
R3C1 is the only square in row 3 that can be <6>
R8C1 can only be <7>
R1C2 can only be <5>
R7C1 can only be <2>
R9C3 can only be <5>
R1C7 is the only square in row 1 that can be <6>
R9C7 can only be <1>
R9C2 can only be <6>
R9C5 can only be <3>
R8C2 can only be <1>
R9C4 can only be <2>
R6C5 can only be <1>
R6C6 can only be <9>
R6C4 can only be <3>
R7C6 can only be <1>
R2C8 is the only square in column 8 that can be <5>
R2C9 can only be <7>
R2C3 can only be <9>
R6C9 can only be <5>
R3C8 can only be <3>
R3C6 can only be <2>
R1C8 can only be <9>
R6C7 can only be <7>
R8C9 can only be <6>
R8C4 can only be <9>
R7C9 can only be <3>
R1C3 can only be <2>
R7C8 can only be <7>
R3C3 can only be <7>
R1C6 can only be <3>
R7C7 can only be <9>
R7C4 can only be <6>
R8C7 can only be <5>
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