Dec 15 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C7 can only be <7>
R5C7 can only be <2>
R5C3 can only be <1>
R4C7 can only be <3>
R4C2 can only be <7>
R2C7 can only be <5>
R6C8 can only be <7>
R5C6 can only be <7>
R5C4 can only be <9>
R6C2 can only be <3>
R6C9 can only be <9>
R4C8 can only be <6>
R1C4 is the only square in row 1 that can be <6>
R2C1 is the only square in row 2 that can be <6>
R2C2 is the only square in row 2 that can be <9>
R9C2 can only be <8>
R9C8 can only be <3>
R9C6 can only be <4>
R2C5 is the only square in column 5 that can be <4>
Intersection of row 1 with block 3. The value <8> 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.
R3C9 - removing <8> from <2378> leaving <237>
Intersection of row 7 with block 8. The value <5> only appears in one or more of squares R7C4, R7C5 and R7C6 of row 7. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R8C4 - removing <5> from <13578> leaving <1378>
R8C5 - removing <5> from <157> leaving <17>
R8C6 - removing <5> from <13568> leaving <1368>
Intersection of column 5 with block 2. The value <2> only appears in one or more of squares R1C5, R2C5 and R3C5 of column 5. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R2C6 - removing <2> from <123> leaving <13>
R3C6 - removing <2> from <12358> leaving <1358>
Intersection of row 2 with block 3. The value <2> only appears in one or more of squares R2C7, R2C8 and R2C9 of row 2. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R1C8 - removing <2> from <128> leaving <18>
R1C9 - removing <2> from <28> leaving <8>
R3C9 - removing <2> from <237> leaving <37>
R1C8 can only be <1>
R7C9 can only be <6>
R8C9 can only be <2>
R8C8 can only be <8>
R1C2 can only be <5>
R2C8 can only be <2>
R1C5 can only be <2>
R8C2 can only be <1>
R3C3 can only be <2>
R3C1 can only be <1>
R6C3 can only be <4>
R6C4 can only be <1>
R8C3 can only be <5>
R4C1 can only be <2>
R6C6 can only be <2>
R4C6 can only be <5>
R8C5 can only be <7>
R7C1 can only be <9>
R8C1 can only be <4>
R8C4 can only be <3>
R9C5 can only be <9>
R9C1 can only be <7>
R3C5 can only be <5>
R7C5 can only be <1>
R4C4 can only be <4>
R7C6 can only be <8>
R7C4 can only be <5>
R3C6 can only be <3>
R8C6 can only be <6>
R2C4 can only be <7>
R2C9 can only be <3>
R3C4 can only be <8>
R2C6 can only be <1>
R3C9 can only be <7>
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