Feb 09 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C8 can only be <8>
R2C2 can only be <6>
R2C3 can only be <5>
R1C9 can only be <6>
R1C5 can only be <8>
R2C7 can only be <7>
R2C5 can only be <9>
R1C1 can only be <3>
R1C6 can only be <2>
R1C4 can only be <1>
R3C4 can only be <7>
R4C1 is the only square in row 4 that can be <6>
R7C5 is the only square in row 7 that can be <7>
R8C2 is the only square in row 8 that can be <9>
R5C1 is the only square in row 5 that can be <9>
R9C4 is the only square in row 9 that can be <2>
R9C5 is the only square in row 9 that can be <3>
R7C3 is the only square in row 7 that can be <3>
R9C9 is the only square in row 9 that can be <5>
R4C4 is the only square in column 4 that can be <3>
Squares R4C6 and R9C6 in column 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <48>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R6C6 - removing <48> from <4589> leaving <59>
R7C6 - removing <48> from <4689> leaving <69>
Squares R7C8 and R8C8 in column 8 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.
R5C8 - removing <24> from <1234> leaving <13>
Squares R7C8 and R8C8 in block 9 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 block.
R7C7 - removing <2> from <268> leaving <68>
R8C7 - removing <2> from <268> leaving <68>
Squares R7C7 and R8C7 in column 7 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.
R4C7 - removing <8> from <28> leaving <2>
R5C7 - removing <8> from <12358> leaving <1235>
R6C7 - removing <8> from <158> leaving <15>
Squares R7C4<89>, R7C6<69> and R7C7<68> in row 7 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <689>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R7C2 - removing <8> from <248> leaving <24>
Squares R4C6 and R6C1 form a remote naked pair. <48> can be removed from any square that is common to their groups.
R6C4 - removing <8> from <89> leaving <9>
R4C3 - removing <48> from <478> leaving <7>
R6C6 can only be <5>
R7C4 can only be <8>
R6C7 can only be <1>
R3C6 can only be <6>
R5C5 can only be <4>
R3C7 can only be <3>
R5C8 can only be <3>
R7C7 can only be <6>
R9C6 can only be <4>
R7C6 can only be <9>
R8C7 can only be <8>
R9C1 can only be <8>
R4C6 can only be <8>
R8C5 can only be <6>
R3C5 can only be <5>
R3C8 can only be <1>
R5C7 can only be <5>
R4C9 can only be <4>
R5C9 can only be <8>
R5C2 can only be <2>
R6C9 can only be <7>
R6C1 can only be <4>
R5C3 can only be <1>
R7C2 can only be <4>
R6C3 can only be <8>
R3C3 can only be <4>
R7C8 can only be <2>
R3C2 can only be <8>
R8C3 can only be <2>
R8C8 can only be <4>
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