Oct 06 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C5 can only be <7>
R2C7 is the only square in row 2 that can be <2>
R1C1 is the only square in row 1 that can be <2>
R2C4 is the only square in row 2 that can be <4>
R4C7 is the only square in row 4 that can be <1>
R5C1 is the only square in row 5 that can be <3>
R4C8 is the only square in row 4 that can be <3>
R5C9 is the only square in row 5 that can be <5>
R7C6 is the only square in row 7 that can be <3>
R8C7 is the only square in row 8 that can be <9>
R9C3 is the only square in row 9 that can be <3>
R6C8 is the only square in column 8 that can be <2>
R4C2 is the only square in row 4 that can be <2>
R9C9 is the only square in column 9 that can be <2>
Squares R2C3 and R8C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <56>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C3 - removing <56> from <567> leaving <7>
R4C3 - removing <6> from <6789> leaving <789>
R6C3 - removing <56> from <56789> leaving <789>
Squares R4C5 and R6C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <68>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C5 - removing <68> from <1568> leaving <15>
R9C5 - removing <8> from <158> leaving <15>
Squares R1C7 and R3C8 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <45>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C9 - removing <4> from <468> leaving <68>
R3C9 - removing <4> from <468> leaving <68>
R1C7 is the only square in row 1 that can be <4>
R6C7 can only be <7>
R3C8 can only be <5>
R7C8 can only be <4>
R9C7 can only be <5>
R4C9 can only be <9>
R7C9 can only be <7>
R9C5 can only be <1>
R4C3 can only be <8>
R6C9 can only be <4>
R9C1 can only be <4>
R1C5 can only be <5>
R7C4 can only be <6>
R2C6 can only be <6>
R2C3 can only be <5>
R1C6 can only be <8>
R4C5 can only be <6>
R6C3 can only be <9>
R4C1 can only be <7>
R6C5 can only be <8>
R7C2 can only be <5>
R8C4 can only be <2>
R8C6 can only be <5>
R5C4 can only be <9>
R8C3 can only be <6>
R3C1 can only be <6>
R1C4 can only be <1>
R1C9 can only be <6>
R9C6 can only be <7>
R3C9 can only be <8>
R3C2 can only be <4>
R6C1 can only be <5>
R5C6 can only be <2>
R3C4 can only be <7>
R6C2 can only be <6>
R7C1 can only be <1>
R9C4 can only be <8>
R3C6 can only be <9>
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