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Sudoku Solution Path

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R3C6 is the only square in row 3 that can be <5>
R4C4 is the only square in row 4 that can be <7>
R3C5 is the only square in row 3 that can be <7>
R3C4 is the only square in row 3 that can be <9>
R6C7 is the only square in row 6 that can be <5>
R6C3 is the only square in row 6 that can be <4>
R1C7 is the only square in row 1 that can be <4>
R3C9 can only be <6>
R3C1 can only be <4>
R5C9 can only be <4>
R7C9 can only be <7>
R2C2 is the only square in row 2 that can be <6>
R4C6 is the only square in column 6 that can be <8>
Squares R1C3 and R3C3 in column 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R4C3 - removing <2> from <269> leaving <69>
   R5C3 - removing <2> from <2368> leaving <368>
Intersection of row 4 with block 6. The value <1> only appears in one or more of squares R4C7, R4C8 and R4C9 of row 4. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
   R6C8 - removing <1> from <129> leaving <29>
Squares R6C2 and R6C4 in row 6 and R8C2 and R8C4 in row 8 form a Simple X-Wing pattern on possibility <3>. All other instances of this possibility in columns 2 and 4 can be removed.
   R7C4 - removing <3> from <123> leaving <12>
Squares R6C2 and R6C8 in row 6 and R8C2 and R8C8 in row 8 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in columns 2 and 8 can be removed.
   R4C2 - removing <9> from <29> leaving <2>
   R4C8 - removing <9> from <1269> leaving <126>
Squares R1C3 and R1C5 in row 1, R3C3 and R3C7 in row 3 and R5C5 and R5C7 in row 5 form a Swordfish pattern on possibility <2>. All other instances of this possibility in columns 3, 5 and 7 can be removed.
   R7C5 - removing <2> from <1239> leaving <139>
Squares R5C1, R7C1, R5C3 and R7C3 form a Type-4 Unique Rectangle on <68>.
   R5C3 - removing <6> from <368> leaving <38>
   R7C3 - removing <6> from <3689> leaving <389>
Squares R4C8 (XY), R2C8 (XZ) and R5C7 (YZ) form an XY-Wing pattern on <2>. All squares that are buddies of both the XZ and YZ squares cannot be <2>.
   R3C7 - removing <2> from <12> leaving <1>
   R6C8 - removing <2> from <29> leaving <9>
R3C3 can only be <2>
R2C8 can only be <2>
R6C2 can only be <3>
R8C8 can only be <6>
R4C7 can only be <6>
R8C6 can only be <4>
R4C8 can only be <1>
R1C3 can only be <1>
R4C3 can only be <9>
R5C7 can only be <2>
R5C5 can only be <3>
R8C2 can only be <9>
R5C3 can only be <8>
R8C4 can only be <3>
R2C6 can only be <1>
R1C5 can only be <2>
R2C4 can only be <4>
R6C6 can only be <2>
R5C1 can only be <6>
R7C3 can only be <3>
R9C5 can only be <9>
R6C4 can only be <1>
R7C6 can only be <6>
R7C7 can only be <9>
R9C3 can only be <6>
R7C1 can only be <8>
R7C5 can only be <1>
R9C7 can only be <3>
R7C4 can only be <2>


 

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