Aug 09 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C8 can only be <1>
R5C9 can only be <3>
R5C7 is the only square in row 5 that can be <4>
R6C9 is the only square in row 6 that can be <1>
R9C6 is the only square in row 9 that can be <4>
R1C3 is the only square in row 1 that can be <4>
R3C5 is the only square in row 3 that can be <4>
R3C4 is the only square in row 3 that can be <1>
R7C5 is the only square in row 7 that can be <1>
R9C1 is the only square in row 9 that can be <1>
R7C3 is the only square in column 3 that can be <2>
R8C8 is the only square in column 8 that can be <5>
R9C8 is the only square in column 8 that can be <3>
R5C8 is the only square in column 8 that can be <2>
R9C7 is the only square in column 7 that can be <2>
R9C4 can only be <6>
R9C2 can only be <8>
Squares R7C2 and R8C2 in column 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C2 - removing <6> from <2569> leaving <259>
R2C2 - removing <67> from <2679> leaving <29>
R5C2 - removing <67> from <5679> leaving <59>
Squares R3C3 and R5C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C3 - removing <67> from <3678> leaving <38>
R6C3 - removing <7> from <378> leaving <38>
Squares R4C7 and R6C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R3C7 - removing <78> from <6789> leaving <69>
R7C7 - removing <8> from <689> leaving <69>
Squares R4C1 and R5C3 in block 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R5C1 - removing <67> from <5679> leaving <59>
R5C3 is the only square in row 5 that can be <7>
R3C3 can only be <6>
R4C1 can only be <6>
R3C7 can only be <9>
R7C7 can only be <6>
R1C9 can only be <6>
R7C2 can only be <7>
R8C9 can only be <8>
R7C9 can only be <9>
R7C4 can only be <5>
R8C2 can only be <6>
R7C6 can only be <8>
R3C6 can only be <5>
R3C1 can only be <7>
R1C6 can only be <2>
R1C4 can only be <9>
R3C8 can only be <8>
R2C1 can only be <9>
R2C8 can only be <7>
R1C2 can only be <5>
R2C4 can only be <3>
R2C2 can only be <2>
R5C1 can only be <5>
R2C6 can only be <6>
R6C4 can only be <7>
R2C5 can only be <8>
R5C2 can only be <9>
R5C5 can only be <6>
R6C7 can only be <8>
R8C4 can only be <2>
R4C6 can only be <3>
R6C3 can only be <3>
R4C7 can only be <7>
R8C5 can only be <3>
R8C6 can only be <7>
R4C5 can only be <2>
R6C5 can only be <5>
R4C3 can only be <8>
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