Jun 24 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C6 can only be <8>
R1C7 is the only square in row 1 that can be <1>
R2C5 is the only square in row 2 that can be <8>
R3C3 is the only square in row 3 that can be <1>
R5C8 is the only square in row 5 that can be <1>
R7C6 is the only square in row 7 that can be <1>
R9C1 is the only square in row 9 that can be <8>
R5C2 is the only square in row 5 that can be <8>
R2C3 is the only square in column 3 that can be <5>
R3C5 is the only square in column 5 that can be <9>
R5C9 is the only square in column 9 that can be <3>
R8C5 is the only square in column 5 that can be <3>
R2C8 is the only square in column 8 that can be <3>
R2C6 can only be <6>
R1C9 is the only square in row 1 that can be <6>
Squares R2C7 and R3C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <27>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C7 - removing <2> from <249> leaving <49>
R5C7 - removing <2> from <245> leaving <45>
R7C7 - removing <2> from <2469> leaving <469>
Squares R1C4 and R1C5 in block 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <25>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R3C4 - removing <2> from <234> leaving <34>
Intersection of row 6 with block 4. The values <69> only appears in one or more of squares R6C1, R6C2 and R6C3 of row 6. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain these values.
R4C2 - removing <9> from <479> leaving <47>
Intersection of row 9 with block 8. The value <5> only appears in one or more of squares R9C4, R9C5 and R9C6 of row 9. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R8C4 - removing <5> from <4578> leaving <478>
Intersection of column 3 with block 4. The value <2> only appears in one or more of squares R4C3, R5C3 and R6C3 of column 3. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R5C1 - removing <2> from <27> leaving <7>
R6C1 - removing <2> from <269> leaving <69>
R4C2 can only be <4>
R4C7 can only be <9>
R5C3 can only be <2>
R4C9 can only be <2>
R4C4 can only be <7>
R6C8 can only be <5>
R5C5 can only be <5>
R5C7 can only be <4>
R1C5 can only be <2>
R9C5 can only be <6>
R6C6 can only be <3>
R7C7 can only be <6>
R6C4 can only be <2>
R3C6 can only be <4>
R8C8 can only be <4>
R7C5 can only be <7>
R8C7 can only be <5>
R7C8 can only be <2>
R9C3 can only be <4>
R1C4 can only be <5>
R3C4 can only be <3>
R9C6 can only be <5>
R8C4 can only be <8>
R8C9 can only be <9>
R7C4 can only be <4>
R7C9 can only be <8>
R7C3 can only be <9>
R6C3 can only be <6>
R6C1 can only be <9>
R8C3 can only be <7>
R8C2 can only be <6>
R2C1 can only be <2>
R3C2 can only be <7>
R2C7 can only be <7>
R3C1 can only be <6>
R2C2 can only be <9>
R3C7 can only be <2>
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