Dec 04 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C4 is the only square in row 2 that can be <4>
R4C8 is the only square in row 4 that can be <8>
R6C2 is the only square in row 6 that can be <2>
R8C1 is the only square in row 8 that can be <6>
R8C5 is the only square in row 8 that can be <8>
R3C9 is the only square in row 3 that can be <8>
R1C4 is the only square in row 1 that can be <8>
R3C5 is the only square in row 3 that can be <6>
R9C6 is the only square in column 6 that can be <1>
R8C6 is the only square in column 6 that can be <4>
R8C3 can only be <5>
R8C9 can only be <7>
R9C2 can only be <9>
R8C7 can only be <2>
R7C2 can only be <1>
R1C6 is the only square in column 6 that can be <2>
R2C7 is the only square in column 7 that can be <7>
R2C9 is the only square in row 2 that can be <6>
R5C9 is the only square in column 9 that can be <1>
Squares R7C1 and R9C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R5C1 - removing <4> from <3459> leaving <359>
R5C3 is the only square in row 5 that can be <4>
Intersection of row 6 with block 5. The value <7> only appears in one or more of squares R6C4, R6C5 and R6C6 of row 6. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R4C4 - removing <7> from <3567> leaving <356>
R4C6 - removing <7> from <579> leaving <59>
Intersection of column 3 with block 4. The value <3> only appears in one or more of squares R4C3, R5C3 and R6C3 of column 3. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R4C1 - removing <3> from <13579> leaving <1579>
R5C1 - removing <3> from <359> leaving <59>
R5C5 is the only square in row 5 that can be <3>
R4C3 is the only square in row 4 that can be <3>
R6C3 can only be <9>
R2C3 can only be <1>
R5C1 can only be <5>
R5C7 can only be <9>
R2C1 can only be <9>
R4C2 can only be <7>
R2C5 can only be <5>
R9C5 can only be <2>
R4C1 can only be <1>
R3C2 can only be <5>
R9C1 can only be <4>
R7C5 can only be <7>
R7C4 can only be <5>
R1C5 can only be <9>
R9C9 can only be <5>
R7C1 can only be <2>
R9C4 can only be <3>
R1C9 can only be <3>
R3C6 can only be <7>
R1C1 can only be <7>
R1C8 can only be <5>
R6C9 can only be <4>
R3C8 can only be <9>
R3C1 can only be <3>
R6C6 can only be <5>
R7C8 can only be <4>
R6C7 can only be <6>
R4C6 can only be <9>
R4C4 can only be <6>
R6C4 can only be <7>
R4C7 can only be <5>
R6C8 can only be <3>
R7C9 can only be <9>
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