Aug 15 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C6 can only be <4>
R4C6 can only be <8>
R1C8 is the only square in row 1 that can be <2>
R4C1 is the only square in row 4 that can be <2>
R5C2 is the only square in row 5 that can be <9>
R4C9 is the only square in row 4 that can be <9>
R5C8 is the only square in row 5 that can be <3>
R3C6 is the only square in row 3 that can be <3>
R2C9 is the only square in row 2 that can be <3>
R3C4 is the only square in row 3 that can be <2>
R7C6 is the only square in row 7 that can be <2>
R7C2 is the only square in row 7 that can be <3>
R6C1 is the only square in row 6 that can be <3>
R7C5 is the only square in row 7 that can be <9>
R8C3 is the only square in row 8 that can be <2>
R9C1 is the only square in row 9 that can be <9>
R1C2 is the only square in column 2 that can be <8>
R6C3 is the only square in column 3 that can be <4>
R9C8 is the only square in column 8 that can be <8>
Squares R5C4 and R6C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C4 - removing <7> from <1478> leaving <148>
R7C4 - removing <5> from <15> leaving <1>
R8C4 - removing <5> from <1458> leaving <148>
R8C6 can only be <6>
R2C6 can only be <1>
R1C7 is the only square in column 7 that can be <1>
R3C1 is the only square in row 3 that can be <1>
R6C8 is the only square in column 8 that can be <1>
Squares R7C7 and R7C9 in block 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <56>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R8C9 - removing <5> from <145> leaving <14>
R9C9 - removing <56> from <1456> leaving <14>
Squares R8C9 and R9C9 in column 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <14>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C9 - removing <4> from <467> leaving <67>
R1C5 is the only square in row 1 that can be <4>
R9C5 can only be <5>
R2C4 can only be <8>
R8C4 can only be <4>
R8C9 can only be <1>
R9C9 can only be <4>
R9C3 can only be <6>
R8C5 can only be <8>
R9C2 can only be <1>
R5C7 is the only square in row 5 that can be <6>
R7C7 can only be <5>
R7C9 can only be <6>
R1C9 can only be <7>
R1C1 can only be <6>
R6C9 can only be <5>
R2C7 can only be <4>
R4C7 can only be <7>
R4C2 can only be <5>
R6C4 can only be <7>
R4C8 can only be <4>
R8C2 can only be <7>
R5C3 can only be <7>
R5C4 can only be <5>
R3C3 can only be <5>
R6C2 can only be <6>
R8C1 can only be <5>
R3C8 can only be <6>
R2C1 can only be <7>
R3C5 can only be <7>
R2C8 can only be <5>
R2C5 can only be <6>
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