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Sudoku Solution Path

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R8C3 can only be <9>
R8C7 can only be <2>
R8C8 can only be <8>
R5C8 is the only square in row 5 that can be <4>
R6C6 is the only square in row 6 that can be <4>
R4C3 is the only square in row 4 that can be <4>
R9C7 is the only square in row 9 that can be <4>
Intersection of row 9 with block 8. The value <3> only appears in one or more of squares R9C4, R9C5 and R9C6 of row 9. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
   R7C5 - removing <3> from <35689> leaving <5689>
   R7C6 - removing <3> from <358> leaving <58>
R9C6 is the only square in column 6 that can be <3>
Intersection of column 1 with block 4. The value <5> only appears in one or more of squares R4C1, R5C1 and R6C1 of column 1. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
   R5C2 - removing <5> from <5678> leaving <678>
   R6C2 - removing <5> from <5679> leaving <679>
Intersection of column 3 with block 1. The value <6> only appears in one or more of squares R1C3, R2C3 and R3C3 of column 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
   R2C2 - removing <6> from <13689> leaving <1389>
Squares R5C9<67>, R7C9<679> and R9C9<679> in column 9 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <679>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R1C9 - removing <679> from <12679> leaving <12>
   R4C9 - removing <679> from <12679> leaving <12>
R1C3 is the only square in row 1 that can be <6>
R2C3 can only be <3>
R7C3 can only be <7>
R9C1 can only be <1>
R8C2 can only be <5>
R8C6 can only be <1>
R7C2 can only be <3>
R1C1 is the only square in row 1 that can be <7>
R9C9 is the only square in row 9 that can be <7>
R5C9 can only be <6>
R7C9 can only be <9>
R7C8 can only be <6>
R2C7 is the only square in row 2 that can be <6>
R5C2 is the only square in row 5 that can be <7>
Squares R5C5 and R7C5 in column 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R1C5 - removing <5> from <1259> leaving <129>
   R3C5 - removing <8> from <12389> leaving <1239>
   R4C5 - removing <8> from <268> leaving <26>
   R6C5 - removing <5> from <2356> leaving <236>
Intersection of row 1 with block 2. The values <59> only appears in one or more of squares R1C4, R1C5 and R1C6 of row 1. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.
   R2C4 - removing <9> from <89> leaving <8>
   R3C4 - removing <9> from <389> leaving <38>
   R3C5 - removing <9> from <1239> leaving <123>
R3C4 can only be <3>
R6C5 is the only square in row 6 that can be <3>
R6C8 is the only square in row 6 that can be <2>
R4C9 can only be <1>
R1C9 can only be <2>
R1C6 can only be <5>
R1C4 can only be <9>
R7C6 can only be <8>
R7C5 can only be <5>
R4C6 can only be <2>
R1C5 can only be <1>
R9C4 can only be <6>
R3C5 can only be <2>
R4C5 can only be <6>
R4C4 can only be <7>
R9C5 can only be <9>
R5C5 can only be <8>
R4C8 can only be <9>
R6C4 can only be <5>
R4C2 can only be <8>
R2C8 can only be <1>
R6C7 can only be <7>
R5C1 can only be <5>
R6C1 can only be <9>
R3C7 can only be <9>
R2C2 can only be <9>
R3C8 can only be <7>
R3C1 can only be <8>
R3C2 can only be <1>
R6C2 can only be <6>

 

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