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Sudoku Solution Path

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R4C4 is the only square in row 4 that can be <7>
R5C5 is the only square in row 5 that can be <2>
R5C4 is the only square in row 5 that can be <4>
R5C7 is the only square in column 7 that can be <8>
R5C9 is the only square in block 6 that can be <1>
R1C3 is the only square in column 3 that can be <1>
Squares R4C8 and R6C8 in column 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <39>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R1C8 - removing <39> from <3469> leaving <46>
   R3C8 - removing <39> from <234569> leaving <2456>
   R7C8 - removing <39> from <2359> leaving <25>
   R9C8 - removing <39> from <3459> leaving <45>
Intersection of block 4 with row 5. The value <9> only appears in one or more of squares R5C1, R5C2 and R5C3 of block 4. These squares are the ones that intersect with row 5. Thus, the other (non-intersecting) squares of row 5 cannot contain this value.
   R5C6 - removing <9> from <369> leaving <36>
Intersection of block 8 with column 5. The value <9> only appears in one or more of squares R7C5, R8C5 and R9C5 of block 8. These squares are the ones that intersect with column 5. Thus, the other (non-intersecting) squares of column 5 cannot contain this value.
   R1C5 - removing <9> from <349> leaving <34>
   R3C5 - removing <9> from <3489> leaving <348>
   R4C5 - removing <9> from <139> leaving <13>
   R6C5 - removing <9> from <13589> leaving <1358>
R1C7 is the only square in row 1 that can be <9>
R9C5 is the only square in row 9 that can be <9>
R7C9 is the only square in row 7 that can be <9>
R2C9 is the only square in column 9 that can be <7>
Intersection of row 3 with block 1. The value <9> 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 <9> from <3589> leaving <358>
   R2C3 - removing <9> from <2359> leaving <235>
Squares R1C2<36>, R4C2<136> and R6C2<13> in column 2 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <136>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R3C2 - removing <36> from <2368> leaving <28>
   R7C2 - removing <3> from <2378> leaving <278>
   R9C2 - removing <3> from <37> leaving <7>
R7C7 is the only square in row 7 that can be <7>
R7C5 is the only square in row 7 that can be <1>
R4C5 can only be <3>
R8C6 can only be <3>
R8C4 can only be <5>
R8C9 can only be <4>
R5C6 can only be <6>
R3C9 can only be <3>
R9C8 can only be <5>
R9C7 can only be <3>
R7C8 can only be <2>
R4C8 can only be <9>
R1C5 can only be <4>
R6C8 can only be <3>
R4C6 can only be <1>
R6C2 can only be <1>
R7C2 can only be <8>
R8C7 can only be <1>
R8C1 can only be <6>
R6C4 can only be <9>
R9C3 can only be <4>
R1C8 can only be <6>
R3C5 can only be <8>
R1C2 can only be <3>
R3C8 can only be <4>
R3C2 can only be <2>
R6C5 can only be <5>
R2C6 can only be <9>
R4C2 can only be <6>
R6C6 can only be <8>
R2C4 can only be <3>
R8C3 can only be <2>
R2C3 can only be <5>
R2C1 can only be <8>
R2C7 can only be <2>
R7C3 can only be <3>
R3C1 can only be <9>
R3C7 can only be <5>
R3C3 can only be <6>
R5C1 can only be <3>
R5C3 can only be <9>
R7C1 can only be <5>


 

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