Jan 05 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R9C1 can only be <4>
R2C3 is the only square in row 2 that can be <5>
R6C1 is the only square in row 6 that can be <6>
R9C5 is the only square in row 9 that can be <6>
R7C9 is the only square in row 7 that can be <6>
R7C4 is the only square in column 4 that can be <8>
R5C5 is the only square in column 5 that can be <2>
R3C6 is the only square in column 6 that can be <1>
R5C9 is the only square in column 9 that can be <5>
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.
R3C7 - removing <8> from <23789> leaving <2379>
R3C9 - removing <8> from <3789> leaving <379>
Intersection of row 6 with block 6. The value <8> only appears in one or more of squares R6C7, R6C8 and R6C9 of row 6. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
R5C7 - removing <8> from <1789> leaving <179>
R5C8 - removing <8> from <1489> leaving <149>
Intersection of column 5 with block 2. The value <9> 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.
R1C4 - removing <9> from <79> leaving <7>
R2C4 - removing <9> from <679> leaving <67>
R3C4 - removing <9> from <4679> leaving <467>
R2C4 can only be <6>
R2C2 can only be <7>
R3C4 can only be <4>
R4C4 can only be <9>
R6C6 can only be <4>
R8C2 can only be <3>
R9C2 can only be <1>
R4C2 can only be <2>
R5C2 can only be <8>
R4C1 can only be <7>
R3C2 can only be <6>
R5C1 can only be <9>
R8C1 can only be <5>
R6C3 can only be <3>
R7C1 can only be <2>
R7C3 can only be <7>
R3C1 can only be <8>
R7C6 can only be <3>
R7C5 can only be <4>
R7C8 can only be <1>
R9C6 can only be <9>
R7C7 can only be <5>
R2C8 can only be <9>
R5C8 can only be <4>
R9C7 can only be <3>
R8C6 can only be <7>
R4C7 can only be <1>
R2C9 can only be <1>
R8C8 can only be <8>
R4C9 can only be <3>
R4C3 can only be <4>
R5C7 can only be <7>
R1C9 can only be <8>
R3C9 can only be <7>
R3C7 can only be <2>
R5C3 can only be <1>
R8C7 can only be <9>
R6C8 can only be <2>
R6C9 can only be <9>
R3C3 can only be <9>
R1C8 can only be <3>
R6C7 can only be <8>
R1C5 can only be <9>
R3C5 can only be <3>
R1C3 can only be <2>
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