Sep 14 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C1 is the only square in row 1 that can be <8>
R3C9 is the only square in row 3 that can be <1>
R6C3 is the only square in row 6 that can be <5>
R7C7 is the only square in row 7 that can be <5>
R4C1 is the only square in column 1 that can be <1>
R2C1 is the only square in column 1 that can be <5>
R8C7 is the only square in column 7 that can be <4>
R2C9 is the only square in column 9 that can be <3>
R2C8 is the only square in row 2 that can be <9>
R7C8 can only be <7>
R7C9 can only be <9>
R3C5 is the only square in row 3 that can be <3>
R7C1 is the only square in row 7 that can be <3>
R9C1 can only be <4>
R7C3 can only be <6>
R7C5 can only be <4>
R8C1 can only be <7>
R8C2 can only be <8>
R3C1 can only be <6>
R8C9 can only be <2>
R9C3 can only be <9>
R9C9 can only be <8>
R9C4 can only be <2>
R9C6 can only be <3>
R5C4 can only be <6>
Intersection of row 2 with block 2. The value <6> only appears in one or more of squares R2C4, R2C5 and R2C6 of row 2. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R1C6 - removing <6> from <256> leaving <25>
Intersection of row 3 with block 1. The value <4> only appears in one or more of squares R3C1, R3C2 and R3C3 of row 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R2C3 - removing <4> from <247> leaving <27>
Intersection of column 8 with block 6. The values <128> only appears in one or more of squares R4C8, R5C8 and R6C8 of column 8. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.
R4C7 - removing <2> from <2369> leaving <369>
R5C7 - removing <2> from <237> leaving <37>
Squares R5C2 and R5C7 in row 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <37>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R5C3 - removing <7> from <78> leaving <8>
R4C3 can only be <4>
R4C4 can only be <9>
R8C4 can only be <5>
R6C5 can only be <8>
R6C8 can only be <1>
R4C5 can only be <2>
R6C6 can only be <4>
R5C8 can only be <2>
R8C6 can only be <6>
R1C4 can only be <7>
R8C5 can only be <9>
R1C9 can only be <6>
R2C4 can only be <4>
R1C7 can only be <2>
R6C9 can only be <7>
R2C6 can only be <2>
R2C3 can only be <7>
R2C5 can only be <6>
R1C6 can only be <5>
R5C6 can only be <1>
R4C8 can only be <8>
R6C2 can only be <6>
R5C7 can only be <3>
R3C7 can only be <7>
R3C3 can only be <2>
R3C2 can only be <4>
R5C2 can only be <7>
R4C7 can only be <6>
R6C7 can only be <9>
R4C2 can only be <3>
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