Aug 12 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R8C3 is the only square in row 8 that can be <8>
R7C5 is the only square in row 7 that can be <8>
R8C6 is the only square in row 8 that can be <5>
R9C9 is the only square in row 9 that can be <4>
R9C1 is the only square in column 1 that can be <1>
R9C2 is the only square in row 9 that can be <3>
R7C1 can only be <5>
R7C3 can only be <9>
R3C3 can only be <6>
R2C3 can only be <3>
R6C1 is the only square in column 1 that can be <3>
R6C2 is the only square in row 6 that can be <8>
R3C2 can only be <9>
R3C1 is the only square in row 3 that can be <8>
R8C4 is the only square in block 8 that can be <7>
Squares R2C4 and R9C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <69>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C4 - removing <9> from <239> leaving <23>
R5C4 - removing <6> from <236> leaving <23>
Squares R4C4 and R5C4 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <23>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C5 - removing <2> from <24579> leaving <4579>
R5C5 - removing <2> from <267> leaving <67>
R6C5 - removing <2> from <24579> leaving <4579>
Squares R5C5 and R5C6 in row 5 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 row.
R5C2 - removing <7> from <17> leaving <1>
R4C2 can only be <7>
R4C8 is the only square in column 8 that can be <1>
R7C9 is the only square in column 9 that can be <7>
R6C7 is the only square in column 7 that can be <7>
Squares R5C8 and R7C8 in column 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <23>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C8 - removing <23> from <2349> leaving <49>
R6C8 - removing <2> from <249> leaving <49>
R1C9 is the only square in row 1 that can be <3>
R1C5 is the only square in row 1 that can be <2>
R3C5 can only be <4>
R4C7 is the only square in row 4 that can be <4>
R2C7 can only be <9>
R6C8 can only be <9>
R6C5 can only be <5>
R6C6 can only be <4>
R1C8 can only be <4>
R4C9 can only be <2>
R1C1 can only be <7>
R2C4 can only be <6>
R8C7 can only be <1>
R4C3 can only be <5>
R4C4 can only be <3>
R3C9 can only be <1>
R5C8 can only be <3>
R5C4 can only be <2>
R7C8 can only be <2>
R6C3 can only be <2>
R4C5 can only be <9>
R7C7 can only be <3>
R8C9 can only be <9>
R3C7 can only be <2>
R1C6 can only be <9>
R2C1 can only be <4>
R2C6 can only be <7>
R9C4 can only be <9>
R5C6 can only be <6>
R9C5 can only be <6>
R5C5 can only be <7>
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