Jun 13 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C5 can only be <9>
R4C4 can only be <4>
R4C1 can only be <3>
R1C8 is the only square in row 1 that can be <5>
R2C2 is the only square in row 2 that can be <3>
R1C6 is the only square in row 1 that can be <3>
R3C9 is the only square in row 3 that can be <4>
R6C9 is the only square in row 6 that can be <9>
R7C1 is the only square in row 7 that can be <4>
R5C1 can only be <9>
R5C2 can only be <1>
R5C3 can only be <4>
R9C6 is the only square in row 9 that can be <4>
R8C1 is the only square in column 1 that can be <5>
R8C9 can only be <1>
R7C7 can only be <9>
R3C1 is the only square in column 1 that can be <7>
R9C3 is the only square in column 3 that can be <3>
R5C6 is the only square in column 6 that can be <5>
Squares R2C1 and R2C9 in row 2 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 row.
R2C4 - removing <8> from <1289> leaving <129>
R2C7 - removing <68> from <1268> leaving <12>
R2C8 - removing <6> from <269> leaving <29>
Squares R1C1 and R2C1 in block 1 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 block.
R3C2 - removing <8> from <289> leaving <29>
Squares R6C5 and R6C6 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <18>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R5C4 - removing <8> from <278> leaving <27>
R5C5 - removing <8> from <278> leaving <27>
Intersection of row 3 with block 2. The value <8> only appears in one or more of squares R3C4, R3C5 and R3C6 of row 3. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R1C4 - removing <8> from <1289> leaving <129>
R1C5 - removing <8> from <1268> leaving <126>
R7C4 is the only square in column 4 that can be <8>
R7C2 can only be <7>
R8C6 can only be <9>
R8C3 can only be <2>
R9C4 can only be <7>
R9C5 can only be <5>
R5C4 can only be <2>
R9C9 can only be <6>
R7C5 can only be <1>
R9C7 can only be <2>
R2C9 can only be <8>
R2C1 can only be <6>
R5C9 can only be <3>
R5C5 can only be <7>
R5C8 can only be <6>
R7C9 can only be <5>
R7C8 can only be <3>
R6C5 can only be <8>
R8C2 can only be <8>
R8C8 can only be <7>
R9C2 can only be <9>
R3C2 can only be <2>
R2C7 can only be <1>
R1C1 can only be <8>
R2C4 can only be <9>
R1C7 can only be <6>
R5C7 can only be <8>
R3C8 can only be <9>
R6C6 can only be <1>
R3C5 can only be <6>
R3C6 can only be <8>
R1C5 can only be <2>
R2C8 can only be <2>
R1C4 can only be <1>
R3C3 can only be <1>
R1C3 can only be <9>
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