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Sudoku Solution Path

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R8C8 can only be <3>
R8C3 is the only square in row 8 that can be <1>
R9C1 is the only square in row 9 that can be <2>
R5C1 is the only square in column 1 that can be <3>
R7C1 is the only square in column 1 that can be <8>
R5C4 is the only square in column 4 that can be <2>
R6C7 is the only square in row 6 that can be <2>
R6C5 is the only square in row 6 that can be <6>
R9C4 is the only square in column 4 that can be <6>
R5C8 is the only square in column 8 that can be <4>
Squares R8C5 and R8C6 in block 8 form a simple locked 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.
   R7C5 - removing <57> from <4579> leaving <49>
   R9C5 - removing <57> from <4579> leaving <49>
Squares R7C5 and R9C5 in column 5 form a simple locked 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.
   R1C5 - removing <9> from <12379> leaving <1237>
   R2C5 - removing <9> from <139> leaving <13>
   R3C5 - removing <9> from <1279> leaving <127>
   R4C5 - removing <9> from <3589> leaving <358>
   R5C5 - removing <9> from <1589> leaving <158>
Squares R1C7<589>, R1C9<589> and R2C7<89> in block 3 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <589>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R1C8 - removing <89> from <1289> leaving <12>
   R3C8 - removing <9> from <1269> leaving <126>
   R3C9 - removing <9> from <69> leaving <6>
Intersection of row 3 with block 1. The values <49> 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 these values.
   R1C2 - removing <9> from <13789> leaving <1378>
   R1C3 - removing <9> from <79> leaving <7>
   R2C2 - removing <9> from <1389> leaving <138>
R3C5 is the only square in row 3 that can be <7>
R8C5 can only be <5>
R8C6 can only be <7>
R3C8 is the only square in row 3 that can be <2>
R1C8 can only be <1>
R1C6 can only be <9>
R6C6 can only be <1>
R2C4 can only be <3>
R2C5 can only be <1>
R4C4 can only be <9>
R1C5 can only be <2>
R2C2 can only be <8>
R5C5 can only be <8>
R4C9 can only be <8>
R4C5 can only be <3>
R4C8 can only be <6>
R1C9 can only be <5>
R6C1 can only be <4>
R5C6 can only be <5>
R1C7 can only be <8>
R2C7 can only be <9>
R1C2 can only be <3>
R4C3 can only be <5>
R7C8 can only be <9>
R5C7 can only be <7>
R5C9 can only be <9>
R5C2 can only be <1>
R5C3 can only be <6>
R7C9 can only be <7>
R6C2 can only be <9>
R3C1 can only be <1>
R7C5 can only be <4>
R9C8 can only be <8>
R9C7 can only be <5>
R3C2 can only be <4>
R3C3 can only be <9>
R7C2 can only be <5>
R9C3 can only be <4>
R7C7 can only be <6>
R9C2 can only be <7>
R9C5 can only be <9>

 

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