Nov 08 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C3 is the only square in row 5 that can be <1>
R7C4 is the only square in row 7 that can be <2>
R3C7 is the only square in row 3 that can be <2>
R2C7 is the only square in column 7 that can be <1>
R2C5 is the only square in row 2 that can be <8>
R2C1 is the only square in row 2 that can be <2>
R1C5 is the only square in row 1 that can be <2>
R6C1 is the only square in column 1 that can be <6>
R5C8 is the only square in row 5 that can be <6>
R8C9 is the only square in row 8 that can be <6>
R6C4 is the only square in column 4 that can be <8>
R6C5 is the only square in row 6 that can be <1>
R7C3 is the only square in column 3 that can be <8>
R7C7 is the only square in row 7 that can be <3>
R4C9 is the only square in row 4 that can be <3>
R1C8 is the only square in column 8 that can be <8>
R9C9 is the only square in column 9 that can be <8>
Squares R1C6 and R1C9 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R1C3 - removing <49> from <34579> leaving <357>
R1C4 - removing <49> from <349> leaving <3>
R3C3 is the only square in row 3 that can be <3>
R8C5 is the only square in row 8 that can be <3>
R9C1 is the only square in row 9 that can be <3>
Squares R4C5 and R4C6 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C2 - removing <9> from <5789> leaving <578>
R4C7 - removing <49> from <4589> leaving <58>
Squares R1C6 and R4C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C6 - removing <49> from <469> leaving <6>
R3C6 - removing <49> from <1469> leaving <16>
R7C6 - removing <4> from <457> leaving <57>
R9C6 - removing <49> from <14579> leaving <157>
R3C6 can only be <1>
R3C2 is the only square in row 3 that can be <6>
R9C4 is the only square in row 9 that can be <1>
Intersection of column 7 with block 9. The value <4> only appears in one or more of squares R7C7, R8C7 and R9C7 of column 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
R7C8 - removing <4> from <457> leaving <57>
R8C8 - removing <4> from <4579> leaving <579>
R7C2 is the only square in row 7 that can be <4>
R2C2 can only be <9>
R2C3 can only be <4>
R5C2 can only be <8>
R5C7 can only be <9>
R6C9 can only be <4>
R6C8 can only be <5>
R1C9 can only be <9>
R1C6 can only be <4>
R3C8 can only be <4>
R3C4 can only be <9>
R6C3 can only be <9>
R7C8 can only be <7>
R4C7 can only be <8>
R7C6 can only be <5>
R8C8 can only be <9>
R8C4 can only be <4>
R4C6 can only be <9>
R4C5 can only be <4>
R9C6 can only be <7>
R8C7 can only be <5>
R9C5 can only be <9>
R8C3 can only be <7>
R9C7 can only be <4>
R9C2 can only be <5>
R1C3 can only be <5>
R4C2 can only be <7>
R1C1 can only be <7>
R4C1 can only be <5>
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