[X]
Feb 07 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C5 can only be <7>
R6C6 can only be <9>
R7C9 can only be <4>
R3C9 can only be <9>
R3C1 can only be <4>
R7C5 can only be <3>
R7C1 can only be <8>
R1C9 is the only square in row 1 that can be <7>
R2C1 is the only square in row 2 that can be <9>
R5C8 is the only square in row 5 that can be <9>
R5C9 is the only square in row 5 that can be <5>
R6C2 is the only square in row 6 that can be <3>
R2C6 is the only square in row 2 that can be <3>
R8C8 is the only square in row 8 that can be <8>
R2C2 is the only square in row 2 that can be <8>
R1C3 can only be <3>
R1C1 can only be <6>
R9C3 can only be <4>
R5C3 can only be <8>
R1C2 can only be <5>
R1C7 is the only square in row 1 that can be <8>
R2C8 is the only square in row 2 that can be <5>
R2C5 is the only square in row 2 that can be <6>
R8C1 is the only square in row 8 that can be <3>
R9C8 is the only square in row 9 that can be <3>
R9C5 is the only square in row 9 that can be <9>
Intersection of row 5 with block 4. The value <7> 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 this value.
R4C2 - removing <7> from <247> leaving <24>
Intersection of row 9 with block 7. The value <7> only appears in one or more of squares R9C1, R9C2 and R9C3 of row 9. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R8C2 - removing <7> from <267> leaving <26>
Intersection of row 9 with block 9. The value <1> only appears in one or more of squares R9C7, R9C8 and R9C9 of row 9. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R8C9 - removing <1> from <126> leaving <26>
Squares R5C1 and R9C1 in column 1 and R5C7 and R9C7 in column 7 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in rows 5 and 9 can be removed.
R5C2 - removing <2> from <247> leaving <47>
R9C2 - removing <2> from <267> leaving <67>
R5C5 - removing <2> from <124> leaving <14>
R9C9 - removing <2> from <126> leaving <16>
R1C5 is the only square in column 5 that can be <2>
R1C8 can only be <1>
R2C4 can only be <1>
R2C9 can only be <2>
R8C9 can only be <6>
R8C2 can only be <2>
R9C9 can only be <1>
R9C7 can only be <2>
R4C2 can only be <4>
R9C1 can only be <7>
R9C2 can only be <6>
R5C1 can only be <2>
R5C7 can only be <1>
R4C8 can only be <2>
R5C2 can only be <7>
R4C4 can only be <7>
R6C8 can only be <4>
R5C5 can only be <4>
R6C4 can only be <2>
R4C6 can only be <1>
R8C4 can only be <4>
R8C6 can only be <7>
R8C5 can only be <1>
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