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Sudoku Solution Path

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R4C7 can only be <5>
R5C3 can only be <5>
R5C5 can only be <8>
R6C4 can only be <5>
R4C3 can only be <9>
R4C6 can only be <4>
R6C3 can only be <6>
R5C7 can only be <3>
R3C5 can only be <4>
R6C7 can only be <8>
R6C6 can only be <3>
R7C4 can only be <4>
R7C5 can only be <6>
R7C6 can only be <5>
R3C4 can only be <9>
R4C4 can only be <2>
R3C6 can only be <8>
R2C2 is the only square in row 2 that can be <5>
R3C9 is the only square in row 3 that can be <5>
Intersection of row 2 with block 3. The value <6> only appears in one or more of squares R2C7, R2C8 and R2C9 of row 2. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
   R3C7 - removing <6> from <1267> leaving <127>
   R3C8 - removing <6> from <367> leaving <37>
Intersection of column 9 with block 9. The value <3> only appears in one or more of squares R7C9, R8C9 and R9C9 of column 9. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
   R7C8 - removing <3> from <378> leaving <78>
Squares R2C3 and R2C7 in row 2 and R8C3 and R8C7 in row 8 form a Simple X-Wing pattern on possibility <4>. All other instances of this possibility in columns 3 and 7 can be removed.
   R1C3 - removing <4> from <1247> leaving <127>
   R1C7 - removing <4> from <1247> leaving <127>
   R9C3 - removing <4> from <347> leaving <37>
   R9C7 - removing <4> from <467> leaving <67>
Squares R7C8<78>, R8C8<68> and R9C7<67> in block 9 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <678>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R7C7 - removing <7> from <279> leaving <29>
   R8C7 - removing <6> from <469> leaving <49>
Squares R1C3 and R1C7 in row 1 and R9C3 and R9C7 in row 9 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in columns 3 and 7 can be removed.
   R3C3 - removing <7> from <1237> leaving <123>
   R3C7 - removing <7> from <127> leaving <12>
   R7C3 - removing <7> from <1378> leaving <138>
Squares R1C1 (XY), R7C1 (XZ) and R2C3 (YZ) form an XY-Wing pattern on <3>. All squares that are buddies of both the XZ and YZ squares cannot be <3>.
   R7C3 - removing <3> from <138> leaving <18>
   R9C3 - removing <3> from <37> leaving <7>
   R3C1 - removing <3> from <136> leaving <16>
R9C7 can only be <6>
R7C2 can only be <9>
R2C7 can only be <4>
R8C8 can only be <8>
R2C3 can only be <3>
R8C7 can only be <9>
R1C9 can only be <2>
R7C7 can only be <2>
R8C2 can only be <6>
R7C9 can only be <3>
R3C7 can only be <1>
R7C1 can only be <1>
R9C9 can only be <4>
R3C2 can only be <7>
R8C3 can only be <4>
R7C8 can only be <7>
R9C1 can only be <3>
R1C3 can only be <1>
R2C8 can only be <6>
R3C8 can only be <3>
R3C1 can only be <6>
R3C3 can only be <2>
R1C7 can only be <7>
R7C3 can only be <8>
R1C1 can only be <4>

 

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