Jan 15 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C6 can only be <7>
R4C2 can only be <7>
R6C6 can only be <6>
R6C2 can only be <1>
R5C1 can only be <2>
R5C3 can only be <6>
R2C1 can only be <1>
R2C7 is the only square in row 2 that can be <6>
R2C3 is the only square in row 2 that can be <2>
R5C6 is the only square in row 5 that can be <5>
R7C5 is the only square in row 7 that can be <2>
R3C7 is the only square in column 7 that can be <2>
Squares R5C7 and R5C9 in row 5 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.
R5C5 - removing <79> from <1379> leaving <13>
R6C5 is the only square in column 5 that can be <7>
Squares R4C8 and R6C8 in column 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <28>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C8 - removing <8> from <578> leaving <57>
R3C8 - removing <8> from <578> leaving <57>
Squares R3C1 and R3C8 in row 3 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.
R3C2 - removing <5> from <359> leaving <39>
R3C3 - removing <7> from <3789> leaving <389>
R3C9 - removing <7> from <3478> leaving <348>
Squares R1C8 and R3C8 in column 8 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 column.
R7C8 - removing <5> from <156> leaving <16>
R9C8 - removing <7> from <167> leaving <16>
Squares R1C8 and R3C8 in block 3 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 block.
R1C7 - removing <57> from <4578> leaving <48>
Intersection of block 2 with column 5. The value <4> only appears in one or more of squares R1C5, R2C5 and R3C5 of block 2. These squares are the ones that intersect with column 5. Thus, the other (non-intersecting) squares of column 5 cannot contain this value.
R4C5 - removing <4> from <489> leaving <89>
R9C5 - removing <4> from <149> leaving <19>
R9C7 is the only square in row 9 that can be <4>
R1C7 can only be <8>
R7C9 can only be <9>
R2C9 can only be <3>
R2C4 can only be <8>
R3C9 can only be <4>
R7C7 can only be <5>
R5C9 can only be <7>
R6C4 can only be <2>
R3C5 can only be <3>
R3C2 can only be <9>
R1C5 can only be <4>
R5C5 can only be <1>
R5C4 can only be <3>
R9C5 can only be <9>
R5C7 can only be <9>
R8C9 can only be <8>
R6C8 can only be <8>
R4C4 can only be <4>
R4C8 can only be <2>
R7C1 can only be <4>
R8C7 can only be <7>
R9C2 can only be <6>
R4C5 can only be <8>
R8C6 can only be <4>
R3C3 can only be <8>
R4C6 can only be <9>
R8C4 can only be <1>
R8C1 can only be <5>
R3C1 can only be <7>
R8C3 can only be <9>
R9C8 can only be <1>
R7C2 can only be <3>
R9C3 can only be <7>
R7C8 can only be <6>
R3C8 can only be <5>
R1C3 can only be <3>
R1C8 can only be <7>
R7C3 can only be <1>
R1C2 can only be <5>
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