Oct 05 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C7 is the only square in row 4 that can be <8>
R4C1 is the only square in row 4 that can be <6>
R9C6 is the only square in row 9 that can be <2>
R8C5 is the only square in column 5 that can be <6>
R7C6 is the only square in column 6 that can be <5>
Intersection of row 4 with block 4. The value <5> only appears in one or more of squares R4C1, R4C2 and R4C3 of row 4. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R6C3 - removing <5> from <1357> leaving <137>
Intersection of row 5 with block 4. The values <13> only appears in one or more of squares R5C1, R5C2 and R5C3 of row 5. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain these values.
R6C3 - removing <13> from <137> leaving <7>
R4C3 can only be <5>
Intersection of row 8 with block 7. The value <9> only appears in one or more of squares R8C1, R8C2 and R8C3 of row 8. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R7C2 - removing <9> from <49> leaving <4>
R7C1 can only be <8>
R7C4 can only be <7>
R4C2 can only be <2>
R4C5 can only be <7>
R2C5 can only be <1>
R2C1 can only be <3>
R6C5 can only be <2>
R2C6 can only be <7>
R1C1 can only be <2>
R9C1 can only be <1>
R2C7 can only be <5>
R2C8 can only be <8>
R9C4 can only be <4>
R5C1 can only be <4>
R8C3 can only be <9>
R9C7 can only be <7>
R4C4 can only be <9>
R8C4 can only be <1>
R9C8 can only be <5>
R9C2 can only be <3>
R9C9 can only be <8>
R8C9 can only be <4>
R4C6 can only be <4>
R5C7 can only be <9>
R5C8 can only be <7>
R7C7 can only be <6>
R5C9 can only be <2>
R7C8 can only be <9>
R6C7 can only be <4>
R8C2 can only be <5>
R1C3 can only be <8>
R6C4 can only be <3>
R5C2 can only be <1>
R3C3 can only be <1>
R5C3 can only be <3>
R6C6 can only be <1>
R1C4 can only be <6>
R6C8 can only be <6>
R6C9 can only be <5>
R3C8 can only be <3>
R1C9 can only be <7>
R3C4 can only be <8>
R1C2 can only be <9>
R3C9 can only be <6>
R3C6 can only be <9>
R1C8 can only be <4>
R1C6 can only be <3>
R3C2 can only be <7>
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