Jun 30 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C6 is the only square in row 3 that can be <7>
R5C8 is the only square in row 5 that can be <5>
R5C3 is the only square in row 5 that can be <7>
R5C2 is the only square in row 5 that can be <8>
R5C7 is the only square in row 5 that can be <9>
R4C1 is the only square in row 4 that can be <9>
R6C5 is the only square in row 6 that can be <4>
R6C7 is the only square in row 6 that can be <2>
R4C5 is the only square in row 4 that can be <2>
R7C8 is the only square in row 7 that can be <9>
R7C2 is the only square in row 7 that can be <2>
R8C9 is the only square in row 8 that can be <7>
R9C8 is the only square in row 9 that can be <2>
Squares R2C1, R2C3 and R2C7 in row 2 form a simple naked triplet. These 3 squares all contain the 3 possibilities <168>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R2C5 - removing <68> from <5689> leaving <59>
R2C9 - removing <16> from <1569> leaving <59>
Squares R1C8 and R3C8 in block 3 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.
R1C9 - removing <36> from <3569> leaving <59>
R2C7 - removing <6> from <168> leaving <18>
R3C7 - removing <36> from <1368> leaving <18>
Squares R2C7 and R3C7 in column 7 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 column.
R4C7 - removing <1> from <136> leaving <36>
Intersection of row 2 with block 1. The value <6> only appears in one or more of squares R2C1, R2C2 and R2C3 of row 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R1C1 - removing <6> from <3468> leaving <348>
R1C2 - removing <6> from <69> leaving <9>
R3C2 - removing <6> from <169> leaving <19>
R3C3 - removing <6> from <13468> leaving <1348>
R1C9 can only be <5>
R3C2 can only be <1>
R2C9 can only be <9>
R2C5 can only be <5>
R3C7 can only be <8>
R9C2 can only be <6>
R2C7 can only be <1>
R9C9 can only be <3>
R3C5 is the only square in row 3 that can be <9>
R8C3 is the only square in row 8 that can be <5>
R7C4 is the only square in row 7 that can be <5>
R7C5 is the only square in row 7 that can be <3>
R5C5 can only be <6>
R5C6 can only be <1>
R8C5 can only be <8>
R5C4 can only be <3>
R8C1 can only be <4>
R9C6 can only be <4>
R9C4 can only be <1>
R7C6 can only be <6>
R7C7 can only be <4>
R1C6 can only be <8>
R7C3 can only be <1>
R8C7 can only be <6>
R4C7 can only be <3>
R9C1 can only be <8>
R1C1 can only be <3>
R4C3 can only be <6>
R2C1 can only be <6>
R1C8 can only be <6>
R3C3 can only be <4>
R1C4 can only be <4>
R3C8 can only be <3>
R2C3 can only be <8>
R6C1 can only be <1>
R3C4 can only be <6>
R4C9 can only be <1>
R6C3 can only be <3>
R6C9 can only be <6>
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