Aug 03 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C7 can only be <5>
R8C9 can only be <1>
R5C3 can only be <2>
R5C5 can only be <1>
R1C4 is the only square in row 1 that can be <1>
R2C2 is the only square in row 2 that can be <3>
R3C3 is the only square in row 3 that can be <4>
R7C3 can only be <6>
R9C3 can only be <5>
R8C2 can only be <2>
R6C8 is the only square in row 6 that can be <1>
R7C6 is the only square in row 7 that can be <1>
R9C2 is the only square in row 9 that can be <1>
R4C2 is the only square in column 2 that can be <8>
Squares R8C7 and R8C8 in row 8 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.
R8C4 - removing <4> from <456> leaving <56>
Squares R8C7 and R8C8 in block 9 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 block.
R7C7 - removing <4> from <2347> leaving <237>
R7C8 - removing <4> from <2478> leaving <278>
R9C8 - removing <4> from <478> leaving <78>
R9C1 is the only square in row 9 that can be <4>
R7C1 can only be <8>
Intersection of row 4 with block 6. The value <7> only appears in one or more of squares R4C7, R4C8 and R4C9 of row 4. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
R6C9 - removing <7> from <37> leaving <3>
R9C6 is the only square in row 9 that can be <3>
R7C4 can only be <4>
R7C5 can only be <7>
R7C8 can only be <2>
R7C7 can only be <3>
R4C4 is the only square in row 4 that can be <3>
R4C6 is the only square in row 4 that can be <6>
R8C6 can only be <5>
R8C4 can only be <6>
R4C1 is the only square in row 4 that can be <9>
R6C3 can only be <7>
R6C2 can only be <5>
R2C3 can only be <9>
R6C4 can only be <9>
R6C6 can only be <2>
R6C5 can only be <4>
R2C6 can only be <7>
R3C6 can only be <9>
R4C5 can only be <5>
R3C5 can only be <2>
R3C7 can only be <7>
R3C2 can only be <6>
R4C7 can only be <4>
R1C9 can only be <6>
R4C8 can only be <7>
R8C7 can only be <9>
R9C8 can only be <8>
R8C8 can only be <4>
R1C7 can only be <2>
R9C9 can only be <7>
R2C8 can only be <5>
R1C1 can only be <5>
R1C2 can only be <7>
R3C9 can only be <8>
R2C1 can only be <2>
R2C4 can only be <8>
R1C8 can only be <9>
R3C4 can only be <5>
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