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Sudoku Solution Path

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R6C7 can only be <3>
R6C3 can only be <5>
R6C8 can only be <4>
R6C2 can only be <9>
R3C2 is the only square in row 3 that can be <6>
R4C2 is the only square in row 4 that can be <8>
R4C3 is the only square in row 4 that can be <3>
Squares R5C1 and R5C2 in row 5 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 row.
   R5C8 - removing <12> from <1267> leaving <67>
   R5C9 - removing <2> from <267> leaving <67>
Squares R3C3 and R7C3 in column 3 and R3C6 and R7C6 in column 6 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in rows 3 and 7 can be removed.
   R7C2 - removing <7> from <1357> leaving <135>
   R7C8 - removing <7> from <123679> leaving <12369>
   R7C9 - removing <7> from <2367> leaving <236>
Squares R2C5 and R2C8 in row 2 and R8C5 and R8C8 in row 8 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in columns 5 and 8 can be removed.
   R3C8 - removing <9> from <2389> leaving <238>
   R5C5 - removing <9> from <389> leaving <38>
   R7C8 - removing <9> from <12369> leaving <1236>
   R9C5 - removing <9> from <379> leaving <37>
   R9C8 - removing <9> from <1379> leaving <137>
R9C1 is the only square in row 9 that can be <9>
R9C2 is the only square in row 9 that can be <4>
R9C8 is the only square in row 9 that can be <1>
R4C8 can only be <2>
R4C7 can only be <1>
Squares R2C8 (XY), R2C2 (XZ) and R3C7 (YZ) form an XY-Wing pattern on <2>. All squares that are buddies of both the XZ and YZ squares cannot be <2>.
   R3C1 - removing <2> from <124> leaving <14>
Intersection of row 3 with block 3. The values <23> only appears in one or more of squares R3C7, R3C8 and R3C9 of row 3. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain these values.
   R1C9 - removing <2> from <24> leaving <4>
R3C1 is the only square in row 3 that can be <4>
R3C3 is the only square in row 3 that can be <1>
R7C3 can only be <7>
R8C2 can only be <3>
R3C6 is the only square in row 3 that can be <7>
R1C2 is the only square in row 1 that can be <7>
Squares R7C8 (XY), R9C9 (XZ) and R5C8 (YZ) form an XY-Wing pattern on <7>. All squares that are buddies of both the XZ and YZ squares cannot be <7>.
   R5C9 - removing <7> from <67> leaving <6>
   R8C8 - removing <7> from <79> leaving <9>
R5C8 can only be <7>
R8C5 can only be <7>
R2C8 can only be <5>
R7C7 can only be <2>
R2C2 can only be <2>
R1C8 can only be <8>
R7C9 can only be <3>
R3C7 can only be <9>
R7C8 can only be <6>
R3C9 can only be <2>
R9C9 can only be <7>
R9C5 can only be <3>
R5C5 can only be <8>
R1C5 can only be <2>
R3C8 can only be <3>
R2C5 can only be <9>
R5C2 can only be <1>
R1C1 can only be <5>
R3C4 can only be <8>
R7C4 can only be <9>
R5C1 can only be <2>
R7C2 can only be <5>
R5C6 can only be <9>
R5C4 can only be <3>
R7C6 can only be <8>
R7C1 can only be <1>


 

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