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Sudoku Solution Path

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R1C4 can only be <5>
R5C5 can only be <5>
R5C7 can only be <8>
R6C1 can only be <9>
R9C6 can only be <5>
R1C6 can only be <6>
R9C4 can only be <4>
R3C5 can only be <7>
R7C5 can only be <9>
R5C3 can only be <7>
R3C7 can only be <4>
R4C9 can only be <9>
R6C9 can only be <6>
R4C1 can only be <8>
R7C7 can only be <6>
R1C8 can only be <7>
R2C8 is the only square in row 2 that can be <6>
R8C2 is the only square in row 8 that can be <3>
Squares R1C9 and R2C7 in block 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 block.
   R2C9 - removing <12> from <1258> leaving <58>
Squares R1C1 and R1C9 in row 1 and R9C1 and R9C9 in row 9 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 1 and 9 can be removed.
   R2C1 - removing <1> from <157> leaving <57>
   R8C1 - removing <1> from <145> leaving <45>
   R8C9 - removing <1> from <125> leaving <25>
Squares R7C2<48>, R7C3<58> and R8C1<45> in block 7 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <458>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R8C3 - removing <5> from <159> leaving <19>
   R9C2 - removing <8> from <789> leaving <79>
Intersection of row 9 with block 9. The value <8> only appears in one or more of squares R9C7, R9C8 and R9C9 of row 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 <8> from <458> leaving <45>
Squares R3C3 and R3C8 in row 3 and R7C3 and R7C8 in row 7 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 3 and 8 can be removed.
   R2C3 - removing <5> from <158> leaving <18>
   R8C8 - removing <5> from <459> leaving <49>
Squares R2C3 (XY), R8C3 (XZ) and R3C2 (YZ) form an XY-Wing pattern on <9>. All squares that are buddies of both the XZ and YZ squares cannot be <9>.
   R3C3 - removing <9> from <589> leaving <58>
   R9C2 - removing <9> from <79> leaving <7>
R9C1 can only be <1>
R9C9 can only be <8>
R1C1 can only be <4>
R8C3 can only be <9>
R9C8 can only be <9>
R2C9 can only be <5>
R1C2 can only be <2>
R8C1 can only be <5>
R1C9 can only be <1>
R2C2 can only be <8>
R2C7 can only be <2>
R2C3 can only be <1>
R3C2 can only be <9>
R7C2 can only be <4>
R3C3 can only be <5>
R8C7 can only be <1>
R2C1 can only be <7>
R8C9 can only be <2>
R3C8 can only be <8>
R7C3 can only be <8>
R7C8 can only be <5>
R8C8 can only be <4>


 

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