Oct 16 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C2 is the only square in row 2 that can be <9>
R2C9 is the only square in row 2 that can be <7>
R3C8 is the only square in row 3 that can be <3>
R4C4 is the only square in row 4 that can be <1>
R7C5 is the only square in row 7 that can be <3>
R6C6 is the only square in row 6 that can be <3>
R5C2 is the only square in row 5 that can be <3>
R9C2 is the only square in row 9 that can be <7>
R3C3 is the only square in row 3 that can be <7>
R3C5 is the only square in row 3 that can be <4>
R4C3 is the only square in row 4 that can be <4>
R1C1 is the only square in row 1 that can be <4>
R5C1 is the only square in row 5 that can be <7>
R6C7 is the only square in row 6 that can be <4>
R5C4 is the only square in row 5 that can be <4>
R8C3 is the only square in column 3 that can be <1>
R8C5 is the only square in column 5 that can be <9>
R7C1 is the only square in column 1 that can be <9>
Intersection of row 2 with block 2. The value <5> only appears in one or more of squares R2C4, R2C5 and R2C6 of row 2. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R1C6 - removing <5> from <2568> leaving <268>
Intersection of column 4 with block 8. The value <8> 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.
R8C6 - removing <8> from <258> leaving <25>
Intersection of column 5 with block 5. The value <8> only appears in one or more of squares R4C5, R5C5 and R6C5 of column 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R5C6 - removing <8> from <2568> leaving <256>
Intersection of column 9 with block 6. The value <5> only appears in one or more of squares R4C9, R5C9 and R6C9 of column 9. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
R5C8 - removing <5> from <12589> leaving <1289>
R6C8 - removing <5> from <258> leaving <28>
R6C5 is the only square in row 6 that can be <5>
R2C4 is the only square in row 2 that can be <5>
R7C8 is the only square in row 7 that can be <5>
R7C7 is the only square in row 7 that can be <1>
R5C8 is the only square in row 5 that can be <1>
R5C9 is the only square in row 5 that can be <9>
R5C3 is the only square in row 5 that can be <5>
R1C3 can only be <2>
R3C2 can only be <6>
R1C2 can only be <5>
R4C9 is the only square in row 4 that can be <5>
R8C6 is the only square in row 8 that can be <5>
R9C8 is the only square in row 9 that can be <9>
R9C7 is the only square in row 9 that can be <6>
R2C7 can only be <2>
R2C5 can only be <6>
R5C7 can only be <8>
R3C9 can only be <8>
R3C6 can only be <2>
R9C9 can only be <2>
R1C8 can only be <6>
R6C8 can only be <2>
R6C1 can only be <8>
R8C8 can only be <8>
R8C1 can only be <2>
R9C4 can only be <8>
R1C6 can only be <8>
R5C5 can only be <2>
R5C6 can only be <6>
R4C5 can only be <8>
R4C2 can only be <2>
R7C2 can only be <8>
R7C4 can only be <2>
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