Nov 07 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C6 is the only square in row 3 that can be <4>
R4C2 is the only square in row 4 that can be <4>
R4C6 is the only square in row 4 that can be <6>
R5C5 is the only square in row 5 that can be <5>
R6C8 is the only square in row 6 that can be <8>
R6C4 is the only square in row 6 that can be <9>
R8C9 is the only square in row 8 that can be <8>
R9C8 is the only square in row 9 that can be <4>
R7C1 is the only square in row 7 that can be <4>
R7C2 is the only square in row 7 that can be <6>
R8C5 is the only square in row 8 that can be <4>
R4C5 is the only square in column 5 that can be <7>
R2C6 is the only square in column 6 that can be <5>
R6C6 is the only square in block 5 that can be <1>
R8C6 can only be <3>
R8C1 can only be <1>
R7C6 can only be <2>
R8C4 can only be <7>
R7C4 can only be <1>
R9C7 is the only square in row 9 that can be <1>
R7C8 is the only square in column 8 that can be <7>
Squares R2C1 and R3C1 in block 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <36>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C2 - removing <3> from <3589> leaving <589>
R1C3 - removing <3> from <359> leaving <59>
R2C2 - removing <3> from <1389> leaving <189>
R3C2 - removing <3> from <13578> leaving <1578>
R3C3 - removing <3> from <1357> leaving <157>
Squares R9C2 and R9C3 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <37>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C3 - removing <3> from <359> leaving <59>
Squares R1C3 and R7C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R3C3 - removing <5> from <157> leaving <17>
Intersection of row 1 with block 3. The value <3> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
R2C8 - removing <3> from <12369> leaving <1269>
R2C9 - removing <3> from <39> leaving <9>
R3C7 - removing <3> from <238> leaving <28>
R3C8 - removing <3> from <12356> leaving <1256>
R3C9 - removing <3> from <35> leaving <5>
R7C9 can only be <3>
R1C8 can only be <3>
R7C7 can only be <9>
R1C7 can only be <8>
R4C8 can only be <2>
R4C4 can only be <3>
R5C8 can only be <9>
R5C7 can only be <3>
R8C8 can only be <5>
R7C3 can only be <5>
R8C2 can only be <9>
R3C7 can only be <2>
R3C4 can only be <8>
R6C5 can only be <2>
R5C3 can only be <1>
R6C2 can only be <3>
R2C5 can only be <3>
R1C3 can only be <9>
R1C2 can only be <5>
R2C1 can only be <6>
R2C4 can only be <2>
R5C2 can only be <2>
R3C3 can only be <7>
R9C2 can only be <7>
R9C3 can only be <3>
R3C2 can only be <1>
R2C8 can only be <1>
R3C1 can only be <3>
R2C2 can only be <8>
R3C8 can only be <6>
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