Mar 22 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C9 can only be <5>
R5C7 can only be <8>
R5C3 can only be <9>
R5C1 can only be <6>
R4C9 is the only square in row 4 that can be <2>
R4C4 is the only square in row 4 that can be <7>
R8C2 is the only square in column 2 that can be <4>
R8C9 can only be <1>
R9C2 is the only square in column 2 that can be <6>
R7C6 is the only square in column 6 that can be <1>
Squares R6C7 and R6C8 in row 6 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 row.
R6C1 - removing <1> from <158> leaving <58>
Intersection of column 6 with block 2. The values <26> only appears in one or more of squares R1C6, R2C6 and R3C6 of column 6. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.
R3C4 - removing <26> from <256> leaving <5>
R3C5 can only be <7>
Squares R3C1<13>, R3C3<14> and R3C9<34> in row 3 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <134>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C7 - removing <14> from <1246> leaving <26>
Intersection of row 3 with block 1. The value <1> 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.
R2C1 - removing <1> from <1357> leaving <357>
R2C2 - removing <1> from <15> leaving <5>
R4C2 can only be <1>
R1C7 is the only square in row 1 that can be <5>
R7C7 is the only square in column 7 that can be <4>
R7C9 can only be <7>
R9C7 can only be <2>
R9C4 can only be <9>
R3C7 can only be <6>
R8C8 can only be <6>
R3C6 can only be <2>
R1C8 can only be <7>
R6C4 can only be <8>
R1C3 can only be <4>
R6C8 can only be <1>
R2C7 can only be <1>
R2C8 can only be <2>
R6C7 can only be <7>
R6C1 can only be <5>
R8C4 can only be <2>
R4C6 can only be <5>
R7C4 can only be <6>
R1C9 can only be <9>
R3C3 can only be <1>
R1C6 can only be <6>
R2C9 can only be <3>
R2C1 can only be <7>
R3C9 can only be <4>
R3C1 can only be <3>
R9C3 can only be <7>
R4C3 can only be <8>
R6C6 can only be <9>
R7C1 can only be <8>
R2C6 can only be <8>
R7C5 can only be <5>
R8C1 can only be <9>
R8C3 can only be <5>
R7C3 can only be <2>
R8C5 can only be <8>
R2C5 can only be <9>
R9C1 can only be <1>
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