Jan 10 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C9 is the only square in row 1 that can be <5>
R9C9 can only be <6>
R6C7 is the only square in row 6 that can be <8>
R7C3 is the only square in row 7 that can be <4>
R8C5 is the only square in row 8 that can be <8>
R2C8 is the only square in row 2 that can be <8>
R3C8 can only be <1>
R3C6 is the only square in row 3 that can be <8>
R3C5 is the only square in row 3 that can be <4>
R5C9 is the only square in row 5 that can be <4>
R4C6 is the only square in row 4 that can be <4>
R8C7 is the only square in row 8 that can be <1>
R8C8 is the only square in row 8 that can be <9>
R9C1 is the only square in row 9 that can be <8>
R7C6 is the only square in column 6 that can be <6>
R3C4 is the only square in column 4 that can be <6>
R3C2 is the only square in row 3 that can be <3>
R7C2 is the only square in block 7 that can be <2>
Squares R7C7 and R7C8 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <35>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R7C5 - removing <5> from <157> leaving <17>
Squares R2C5 and R7C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C5 - removing <17> from <137> leaving <3>
R5C5 - removing <7> from <3579> leaving <359>
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 <7> from <3579> leaving <359>
R5C7 - removing <7> from <3579> leaving <359>
Intersection of row 5 with block 4. The values <267> only appears in one or more of squares R5C1, R5C2 and R5C3 of row 5. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain these values.
R4C1 - removing <7> from <137> leaving <13>
R4C3 - removing <7> from <1579> leaving <159>
R6C1 - removing <7> from <137> leaving <13>
R6C3 - removing <7> from <1579> leaving <159>
Squares R4C1 and R6C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <13>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C1 - removing <1> from <127> leaving <27>
R5C1 - removing <3> from <237> leaving <27>
R1C4 is the only square in row 1 that can be <1>
R7C4 can only be <7>
R2C5 can only be <7>
R2C2 can only be <6>
R2C7 can only be <2>
R7C5 can only be <1>
R1C6 can only be <2>
R3C7 can only be <7>
R3C3 can only be <2>
R1C1 can only be <7>
R9C6 can only be <5>
R2C3 can only be <1>
R9C5 can only be <9>
R6C6 can only be <7>
R5C1 can only be <2>
R6C9 can only be <1>
R6C1 can only be <3>
R4C9 can only be <7>
R9C4 can only be <2>
R5C5 can only be <5>
R5C2 can only be <7>
R5C8 can only be <3>
R5C7 can only be <9>
R7C8 can only be <5>
R6C4 can only be <9>
R4C1 can only be <1>
R6C3 can only be <5>
R4C4 can only be <3>
R7C7 can only be <3>
R8C2 can only be <5>
R5C3 can only be <6>
R4C7 can only be <5>
R4C3 can only be <9>
R8C3 can only be <7>
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