Jul 11 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C2 is the only square in row 2 that can be <6>
R8C3 is the only square in row 8 that can be <3>
R8C8 is the only square in row 8 that can be <5>
R3C1 is the only square in column 1 that can be <1>
R3C3 is the only square in row 3 that can be <9>
R6C2 is the only square in column 2 that can be <5>
R3C9 is the only square in column 9 that can be <5>
Squares R7C3 and R8C1 in block 7 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.
R7C1 - removing <68> from <2678> 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.
R1C5 - removing <8> from <34578> leaving <3457>
R1C6 - removing <8> from <578> leaving <57>
R2C5 - removing <8> from <1348> leaving <134>
R2C6 - removing <8> from <18> leaving <1>
R2C9 is the only square in row 2 that can be <8>
R9C9 can only be <1>
R5C8 is the only square in column 8 that can be <1>
R7C9 is the only square in column 9 that can be <3>
Squares R4C9 and R6C9 in block 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C7 - removing <4> from <479> leaving <79>
R4C8 - removing <4> from <479> leaving <79>
Squares R4C7 and R4C8 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <79>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C1 - removing <79> from <679> leaving <6>
R4C4 - removing <7> from <2347> leaving <234>
R4C5 - removing <79> from <2345679> leaving <23456>
R4C6 - removing <79> from <5679> leaving <56>
R4C6 can only be <5>
R8C1 can only be <8>
R6C3 can only be <4>
R1C6 can only be <7>
R6C9 can only be <2>
R1C3 can only be <8>
R5C2 can only be <7>
R4C9 can only be <4>
R8C4 can only be <1>
R1C1 can only be <2>
R7C3 can only be <6>
R8C5 can only be <6>
R6C4 can only be <7>
R7C1 can only be <7>
R1C8 can only be <4>
R1C2 can only be <3>
R2C7 can only be <3>
R2C5 can only be <4>
R3C7 can only be <7>
R4C7 can only be <9>
R4C8 can only be <7>
R9C7 can only be <6>
R9C2 can only be <2>
R6C1 can only be <9>
R6C6 can only be <6>
R6C5 can only be <1>
R7C7 can only be <4>
R9C4 can only be <8>
R9C8 can only be <9>
R5C4 can only be <4>
R7C6 can only be <9>
R9C5 can only be <7>
R7C8 can only be <8>
R1C5 can only be <5>
R3C2 can only be <4>
R3C4 can only be <3>
R3C5 can only be <8>
R4C4 can only be <2>
R5C5 can only be <9>
R4C5 can only be <3>
R5C6 can only be <8>
R7C5 can only be <2>
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