Aug 18 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C3 can only be <1>
R4C4 can only be <2>
R5C5 can only be <9>
R5C7 can only be <5>
R6C7 can only be <3>
R4C1 can only be <3>
R5C3 can only be <7>
R6C6 can only be <1>
R6C2 can only be <9>
R6C9 can only be <2>
R4C8 can only be <6>
R3C3 is the only square in row 3 that can be <6>
R3C8 is the only square in row 3 that can be <8>
R2C2 is the only square in row 2 that can be <8>
R1C2 is the only square in column 2 that can be <3>
R1C3 is the only square in row 1 that can be <2>
R3C9 is the only square in column 9 that can be <7>
R2C8 is the only square in block 3 that can be <3>
R9C9 is the only square in row 9 that can be <3>
R1C8 is the only square in block 3 that can be <5>
R9C3 is the only square in row 9 that can be <5>
Squares R2C3 and R2C7 in row 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R2C1 - removing <49> from <1479> leaving <17>
R2C4 - removing <9> from <579> leaving <57>
R2C6 - removing <49> from <2479> leaving <27>
R3C6 is the only square in column 6 that can be <4>
Squares R1C7 and R2C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R7C7 - removing <49> from <14689> leaving <168>
R8C7 - removing <49> from <1489> leaving <18>
R9C7 - removing <9> from <69> leaving <6>
R7C6 is the only square in row 7 that can be <6>
Intersection of column 2 with block 7. The values <127> only appears in one or more of squares R7C2, R8C2 and R9C2 of column 2. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain these values.
R7C1 - removing <1> from <149> leaving <49>
Intersection of column 6 with block 8. The value <9> only appears in one or more of squares R7C6, R8C6 and R9C6 of column 6. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R7C4 - removing <9> from <589> leaving <58>
R8C4 - removing <9> from <35789> leaving <3578>
R7C1 is the only square in row 7 that can be <9>
R3C1 can only be <1>
R8C3 can only be <4>
R8C9 can only be <5>
R2C3 can only be <9>
R7C9 can only be <4>
R2C7 can only be <4>
R1C7 can only be <9>
R3C5 can only be <3>
R2C1 can only be <7>
R3C4 can only be <9>
R8C5 can only be <2>
R8C8 can only be <9>
R7C5 can only be <5>
R8C6 can only be <7>
R9C8 can only be <2>
R9C2 can only be <7>
R1C4 can only be <7>
R2C4 can only be <5>
R2C6 can only be <2>
R1C1 can only be <4>
R2C5 can only be <1>
R7C4 can only be <8>
R7C7 can only be <1>
R7C2 can only be <2>
R8C7 can only be <8>
R8C2 can only be <1>
R8C4 can only be <3>
R9C6 can only be <9>
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