Jan 29 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R3C1 can only be <6>
R1C8 is the only square in row 1 that can be <3>
R9C9 is the only square in row 9 that can be <8>
R1C1 is the only square in column 1 that can be <1>
R7C5 is the only square in column 5 that can be <1>
Intersection of block 1 with column 2. The value <2> only appears in one or more of squares R1C2, R2C2 and R3C2 of block 1. These squares are the ones that intersect with column 2. Thus, the other (non-intersecting) squares of column 2 cannot contain this value.
R4C2 - removing <2> from <268> leaving <68>
R6C2 - removing <2> from <2389> leaving <389>
R8C2 - removing <2> from <23569> leaving <3569>
R9C2 - removing <2> from <256> leaving <56>
Intersection of block 9 with column 8. The value <4> only appears in one or more of squares R7C8, R8C8 and R9C8 of block 9. These squares are the ones that intersect with column 8. Thus, the other (non-intersecting) squares of column 8 cannot contain this value.
R2C8 - removing <4> from <467> leaving <67>
R4C8 - removing <4> from <4567> leaving <567>
R6C8 - removing <4> from <479> leaving <79>
Squares R5C4<24>, R5C5<247> and R5C6<247> in row 5 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <247>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R5C3 - removing <27> from <2679> leaving <69>
R5C7 - removing <247> from <24679> leaving <69>
Intersection of row 5 with block 5. The values <247> only appears in one or more of squares R5C4, R5C5 and R5C6 of row 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.
R4C6 - removing <247> from <12478> leaving <18>
R6C4 - removing <24> from <1248> leaving <18>
Squares R2C7<467>, R2C8<67> and R2C9<46> in row 2 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <467>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R2C4 - removing <46> from <12468> leaving <128>
R2C6 - removing <46> from <12468> leaving <128>
R1C6 is the only square in block 2 that can be <6>
R7C6 can only be <7>
R5C5 is the only square in row 5 that can be <7>
R9C1 is the only square in row 9 that can be <7>
Squares R5C6 and R8C6 in column 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 column.
R2C6 - removing <2> from <128> leaving <18>
Squares R8C6 and R9C5 in block 8 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.
R8C4 - removing <24> from <2456> leaving <56>
R9C4 - removing <24> from <2456> leaving <56>
R9C5 is the only square in row 9 that can be <2>
R1C5 can only be <9>
R8C6 can only be <4>
R1C9 can only be <5>
R3C5 can only be <4>
R1C2 can only be <2>
R3C4 can only be <8>
R3C7 can only be <9>
R5C7 can only be <6>
R5C3 can only be <9>
R7C7 can only be <5>
R5C6 can only be <2>
R2C2 can only be <8>
R2C6 can only be <1>
R4C2 can only be <6>
R3C3 can only be <5>
R2C4 can only be <2>
R4C6 can only be <8>
R6C4 can only be <1>
R9C2 can only be <5>
R7C3 can only be <6>
R6C2 can only be <3>
R5C4 can only be <4>
R7C9 can only be <9>
R8C3 can only be <2>
R6C9 can only be <4>
R8C8 can only be <6>
R8C1 can only be <3>
R4C3 can only be <7>
R8C4 can only be <5>
R2C8 can only be <7>
R9C8 can only be <4>
R9C4 can only be <6>
R8C2 can only be <9>
R2C7 can only be <4>
R4C8 can only be <5>
R6C8 can only be <9>
R6C3 can only be <8>
R6C1 can only be <2>
R2C9 can only be <6>
R4C9 can only be <1>
R4C7 can only be <2>
R4C1 can only be <4>
R6C7 can only be <7>
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