Jan 27 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C4 is the only square in row 4 that can be <1>
R4C6 is the only square in row 4 that can be <6>
R6C5 is the only square in row 6 that can be <8>
R9C9 is the only square in row 9 that can be <7>
R6C4 is the only square in column 4 that can be <7>
R4C2 is the only square in row 4 that can be <7>
R5C7 is the only square in row 5 that can be <7>
Intersection of row 3 with block 1. The value <1> 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 this value.
R2C1 - removing <1> from <12346> leaving <2346>
R2C2 - removing <1> from <12349> leaving <2349>
Intersection of row 7 with block 9. The value <6> only appears in one or more of squares R7C7, R7C8 and R7C9 of row 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R8C8 - removing <6> from <245689> leaving <24589>
R8C9 - removing <6> from <12468> leaving <1248>
Intersection of column 4 with block 8. The value <5> only appears in one or more of squares R7C4, R8C4 and R9C4 of column 4. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R7C5 - removing <5> from <2359> leaving <239>
R8C5 - removing <5> from <23459> leaving <2349>
R9C6 - removing <5> from <245> leaving <24>
Intersection of column 7 with block 9. The value <5> only appears in one or more of squares R7C7, R8C7 and R9C7 of column 7. 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 <5> from <2569> leaving <269>
R8C8 - removing <5> from <24589> leaving <2489>
R9C8 - removing <5> from <2459> leaving <249>
R9C1 is the only square in row 9 that can be <5>
R5C5 is the only square in row 5 that can be <5>
R4C5 can only be <2>
R4C1 can only be <4>
R6C6 can only be <3>
R3C6 can only be <4>
R9C6 can only be <2>
R4C8 can only be <5>
R9C3 can only be <9>
R2C6 can only be <5>
R9C8 can only be <4>
R6C8 can only be <2>
R6C2 can only be <5>
R6C9 can only be <4>
R5C9 can only be <3>
R1C9 can only be <8>
R8C5 is the only square in row 8 that can be <4>
R8C8 is the only square in row 8 that can be <8>
R8C7 is the only square in row 8 that can be <9>
R1C7 can only be <4>
R7C8 can only be <6>
R2C7 can only be <1>
R2C9 can only be <6>
R7C7 can only be <5>
R3C8 can only be <3>
R3C2 can only be <1>
R3C5 can only be <7>
R2C8 can only be <9>
R7C4 can only be <3>
R2C5 can only be <3>
R7C2 can only be <2>
R7C5 can only be <9>
R1C4 can only be <2>
R8C4 can only be <5>
R1C1 can only be <3>
R2C1 can only be <2>
R7C9 can only be <1>
R2C2 can only be <4>
R8C2 can only be <3>
R8C3 can only be <6>
R8C9 can only be <2>
R1C2 can only be <9>
R8C1 can only be <1>
R3C3 can only be <8>
R2C3 can only be <7>
R5C1 can only be <8>
R3C1 can only be <6>
R5C3 can only be <2>
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