Feb 07 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C2 is the only square in row 7 that can be <4>
R3C7 is the only square in column 7 that can be <6>
R3C3 can only be <5>
R7C8 is the only square in row 7 that can be <5>
R2C9 is the only square in row 2 that can be <5>
R7C3 is the only square in row 7 that can be <8>
R2C3 can only be <7>
R5C3 can only be <6>
R5C2 can only be <7>
R8C3 can only be <2>
R9C2 can only be <3>
R3C2 can only be <9>
R8C2 can only be <6>
R1C1 is the only square in row 1 that can be <6>
R4C5 is the only square in row 4 that can be <7>
R6C6 is the only square in row 6 that can be <6>
R8C1 is the only square in row 8 that can be <5>
R9C1 can only be <7>
R8C9 is the only square in row 8 that can be <7>
R9C8 is the only square in row 9 that can be <8>
R2C1 is the only square in column 1 that can be <3>
Squares R2C7 and R7C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R5C7 - removing <2> from <239> leaving <39>
R8C7 - removing <1> from <139> leaving <39>
Intersection of column 4 with block 5. The value <1> only appears in one or more of squares R4C4, R5C4 and R6C4 of column 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R6C5 - removing <1> from <1348> leaving <348>
Intersection of column 6 with block 5. The value <4> only appears in one or more of squares R4C6, R5C6 and R6C6 of column 6. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R5C5 - removing <4> from <2349> leaving <239>
R6C5 - removing <4> from <348> leaving <38>
Intersection of column 9 with block 6. The value <4> only appears in one or more of squares R4C9, R5C9 and R6C9 of column 9. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
R5C8 - removing <4> from <2349> leaving <239>
R5C6 is the only square in row 5 that can be <4>
R4C6 can only be <2>
R1C6 can only be <3>
R9C6 can only be <5>
R3C5 can only be <4>
R3C8 can only be <3>
R2C8 is the only square in row 2 that can be <4>
R5C8 is the only square in row 5 that can be <2>
R5C4 is the only square in row 5 that can be <5>
R8C7 is the only square in row 8 that can be <3>
R5C7 can only be <9>
R5C5 can only be <3>
R4C9 can only be <4>
R4C1 can only be <1>
R6C9 can only be <3>
R6C5 can only be <8>
R6C4 can only be <1>
R2C5 can only be <2>
R2C7 can only be <1>
R7C5 can only be <1>
R1C4 can only be <8>
R2C2 can only be <8>
R7C7 can only be <2>
R1C8 can only be <9>
R4C4 can only be <9>
R6C1 can only be <4>
R9C4 can only be <2>
R8C5 can only be <9>
R9C9 can only be <9>
R8C8 can only be <1>
R1C9 can only be <2>
R1C2 can only be <1>
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