Feb 24 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R6C4 can only be <2>
R6C6 can only be <3>
R4C4 can only be <8>
R6C1 can only be <5>
R6C9 can only be <6>
R4C6 can only be <7>
R5C5 can only be <6>
R1C1 is the only square in row 1 that can be <6>
R1C3 is the only square in row 1 that can be <9>
R5C1 is the only square in row 5 that can be <9>
R7C8 is the only square in row 7 that can be <9>
R8C2 is the only square in row 8 that can be <6>
R7C2 is the only square in column 2 that can be <7>
R7C5 can only be <3>
Intersection of row 1 with block 3. The value <3> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R3C8 - removing <3> from <234> leaving <24>
R3C9 - removing <3> from <1234> leaving <124>
Intersection of block 2 with row 1. The value <4> only appears in one or more of squares R1C4, R1C5 and R1C6 of block 2. These squares are the ones that intersect with row 1. Thus, the other (non-intersecting) squares of row 1 cannot contain this value.
R1C9 - removing <4> from <1348> leaving <138>
Intersection of block 8 with row 9. The values <45> only appears in one or more of squares R9C4, R9C5 and R9C6 of block 8. These squares are the ones that intersect with row 9. Thus, the other (non-intersecting) squares of row 9 cannot contain these values.
R9C1 - removing <4> from <1234> leaving <123>
R9C3 - removing <4> from <1234> leaving <123>
R9C9 - removing <4> from <23478> leaving <2378>
Squares R2C3 and R2C5 in row 2 and R8C3 and R8C5 in row 8 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 3 and 5 can be removed.
R1C5 - removing <1> from <158> leaving <58>
R3C5 - removing <1> from <125> leaving <25>
R9C3 - removing <1> from <123> leaving <23>
R9C5 - removing <1> from <157> leaving <57>
Squares R4C1 and R4C9 in row 4 and R7C1 and R7C9 in row 7 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in columns 1 and 9 can be removed.
R3C9 - removing <2> from <124> leaving <14>
R5C9 - removing <2> from <2378> leaving <378>
R9C1 - removing <2> from <123> leaving <13>
R9C9 - removing <2> from <2378> leaving <378>
Squares R3C1 and R7C1 in column 1 and R3C9 and R7C9 in column 9 form a Simple X-Wing pattern on possibility <4>. All other instances of this possibility in rows 3 and 7 can be removed.
R3C2 - removing <4> from <345> leaving <35>
R3C8 - removing <4> from <24> leaving <2>
R3C5 can only be <5>
R3C2 can only be <3>
R1C5 can only be <8>
R9C5 can only be <7>
R1C6 can only be <4>
R8C5 can only be <1>
R1C4 can only be <1>
R9C6 can only be <5>
R5C2 can only be <4>
R2C2 can only be <5>
R2C5 can only be <2>
R9C4 can only be <4>
R1C9 can only be <3>
R1C7 can only be <5>
R4C9 can only be <2>
R9C9 can only be <8>
R2C7 can only be <8>
R2C8 can only be <4>
R2C3 can only be <1>
R8C8 can only be <3>
R3C9 can only be <1>
R3C1 can only be <4>
R4C1 can only be <3>
R7C9 can only be <4>
R7C1 can only be <2>
R8C3 can only be <4>
R8C7 can only be <7>
R5C8 can only be <8>
R9C7 can only be <2>
R9C3 can only be <3>
R5C9 can only be <7>
R9C1 can only be <1>
R5C3 can only be <2>
R5C7 can only be <3>
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