Jun 27 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C1 can only be <6>
R5C7 can only be <1>
R6C1 can only be <3>
R2C5 is the only square in row 2 that can be <7>
R4C5 is the only square in row 4 that can be <1>
R5C6 is the only square in row 5 that can be <3>
R6C5 is the only square in row 6 that can be <6>
R7C3 is the only square in row 7 that can be <2>
R3C3 can only be <6>
R1C8 is the only square in row 1 that can be <6>
R8C8 is the only square in row 8 that can be <5>
R8C9 is the only square in row 8 that can be <3>
R9C2 is the only square in row 9 that can be <6>
R7C7 is the only square in row 7 that can be <6>
R2C7 is the only square in column 7 that can be <4>
Squares R5C2 and R5C3 in row 5 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 row.
R5C4 - removing <57> from <24579> leaving <249>
R5C8 - removing <7> from <27> leaving <2>
R3C5 is the only square in row 3 that can be <2>
R6C4 is the only square in row 6 that can be <2>
Squares R1C4 and R1C6 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R1C1 - removing <9> from <1249> leaving <124>
R1C2 - removing <59> from <459> leaving <4>
R1C9 - removing <9> from <129> leaving <12>
Squares R4C9 and R6C9 in column 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R9C9 - removing <78> from <1789> leaving <19>
Intersection of row 8 with block 7. The values <17> only appears in one or more of squares R8C1, R8C2 and R8C3 of row 8. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain these values.
R7C2 - removing <7> from <789> leaving <89>
R9C1 - removing <1> from <149> leaving <49>
R7C8 is the only square in row 7 that can be <7>
Intersection of column 5 with block 8. The value <8> only appears in one or more of squares R7C5, R8C5 and R9C5 of column 5. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R9C6 - removing <8> from <789> leaving <79>
R9C8 is the only square in row 9 that can be <8>
R3C8 can only be <3>
R8C7 can only be <9>
R3C2 can only be <9>
R2C8 can only be <1>
R3C7 can only be <8>
R9C9 can only be <1>
R1C9 can only be <2>
R1C1 can only be <1>
R2C9 can only be <9>
R2C3 can only be <5>
R2C1 can only be <2>
R7C2 can only be <8>
R7C5 can only be <9>
R8C2 can only be <7>
R5C5 can only be <4>
R9C6 can only be <7>
R8C3 can only be <1>
R5C2 can only be <5>
R8C1 can only be <4>
R9C4 can only be <4>
R6C6 can only be <8>
R2C2 can only be <3>
R5C3 can only be <7>
R5C4 can only be <9>
R8C5 can only be <8>
R6C9 can only be <7>
R4C6 can only be <5>
R4C9 can only be <8>
R9C1 can only be <9>
R4C4 can only be <7>
R1C6 can only be <9>
R1C4 can only be <5>
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