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Sudoku Solution Path

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R3C7 can only be <9>
R4C6 can only be <1>
R4C4 can only be <3>
R1C2 is the only square in row 1 that can be <3>
R1C8 is the only square in row 1 that can be <7>
R2C1 is the only square in row 2 that can be <5>
R3C3 is the only square in row 3 that can be <4>
R5C1 is the only square in row 5 that can be <3>
R5C9 is the only square in row 5 that can be <9>
R9C5 is the only square in row 9 that can be <7>
R9C2 is the only square in row 9 that can be <9>
R9C6 is the only square in column 6 that can be <8>
Intersection of row 1 with block 2. The values <46> 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.
   R2C5 - removing <6> from <126> leaving <12>
Squares R3C1 and R3C9 in row 3 and R7C1 and R7C9 in row 7 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in columns 1 and 9 can be removed.
   R2C9 - removing <6> from <1268> leaving <128>
   R8C1 - removing <6> from <1268> leaving <128>
   R8C9 - removing <6> from <12468> leaving <1248>
Squares R1C3 and R7C3 in column 3 and R1C7 and R7C7 in column 7 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in rows 1 and 7 can be removed.
   R7C1 - removing <8> from <168> leaving <16>
   R7C9 - removing <8> from <168> leaving <16>
Squares R7C1 and R7C9 in row 7 form a simple locked pair. These 2 squares both contain the 2 possibilities <16>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R7C7 - removing <1> from <158> leaving <58>
Squares R1C4 and R9C4 in column 4 and R1C7 and R9C7 in column 7 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in rows 1 and 9 can be removed.
   R1C5 - removing <1> from <1246> leaving <246>
Squares R2C5 (XY), R8C5 (XZ) and R1C6 (YZ) form an XY-Wing pattern on <6>. All squares that are buddies of both the XZ and YZ squares cannot be <6>.
   R1C5 - removing <6> from <246> leaving <24>
R8C5 is the only square in column 5 that can be <6>
R9C4 can only be <1>
R9C7 can only be <5>
R9C3 can only be <2>
R7C7 can only be <8>
R7C3 can only be <5>
R1C7 can only be <1>
R9C8 can only be <6>
R1C3 can only be <8>
R8C2 can only be <8>
R7C9 can only be <1>
R7C1 can only be <6>
R8C1 can only be <1>
R5C2 can only be <2>
R5C5 can only be <4>
R2C2 can only be <6>
R6C1 can only be <7>
R5C8 can only be <8>
R1C5 can only be <2>
R6C4 can only be <6>
R2C8 can only be <2>
R4C9 can only be <7>
R6C9 can only be <4>
R4C1 can only be <8>
R6C6 can only be <2>
R1C4 can only be <4>
R1C6 can only be <6>
R8C9 can only be <2>
R3C1 can only be <2>
R8C8 can only be <4>
R2C9 can only be <8>
R3C9 can only be <6>
R2C5 can only be <1>


 

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