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Sudoku Solution Path

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R4C4 can only be <8>
R4C6 can only be <9>
R4C9 can only be <1>
R5C1 can only be <8>
R6C1 can only be <3>
R9C6 can only be <7>
R4C1 can only be <4>
R5C9 can only be <6>
R5C3 can only be <7>
R5C5 can only be <1>
R5C7 can only be <9>
R6C9 can only be <5>
R2C9 can only be <7>
R9C4 can only be <5>
R6C6 can only be <6>
R6C4 can only be <7>
R1C6 can only be <3>
R9C5 can only be <4>
R1C4 can only be <6>
R7C5 can only be <6>
R1C5 can only be <5>
R3C5 can only be <7>
R2C1 is the only square in row 2 that can be <2>
R7C1 is the only square in row 7 that can be <9>
R8C2 is the only square in row 8 that can be <7>
R9C8 is the only square in row 9 that can be <2>
R8C9 is the only square in column 9 that can be <3>
R8C3 can only be <4>
Squares R1C7 and R9C7 in column 7 form a simple locked pair. These 2 squares both contain the 2 possibilities <18>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R8C7 - removing <1> from <156> leaving <56>
Squares R3C2 and R3C9 in row 3 and R7C2 and R7C9 in row 7 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 2 and 9 can be removed.
   R1C2 - removing <8> from <148> leaving <14>
   R9C2 - removing <8> from <138> leaving <13>
Squares R2C7, R8C7, R2C8 and R8C8 form a Type-4 Unique Rectangle on <56>.
   R2C8 - removing <5> from <569> leaving <69>
   R8C8 - removing <5> from <156> leaving <16>
Squares R1C7 (XY), R1C2 (XZ) and R3C9 (YZ) form an XY-Wing pattern on <4>. All squares that are buddies of both the XZ and YZ squares cannot be <4>.
   R3C2 - removing <4> from <1458> leaving <158>
   R1C8 - removing <4> from <149> leaving <19>
R1C2 is the only square in row 1 that can be <4>
Intersection of row 1 with block 3. The value <1> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.
   R3C8 - removing <1> from <145> leaving <45>
Squares R2C2 (XY), R9C2 (XZ) and R3C1 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.
   R3C2 - removing <1> from <158> leaving <58>
   R8C1 - removing <1> from <15> leaving <5>
R8C7 can only be <6>
R3C1 can only be <1>
R7C2 can only be <8>
R8C8 can only be <1>
R2C7 can only be <5>
R1C8 can only be <9>
R9C7 can only be <8>
R9C3 can only be <3>
R1C7 can only be <1>
R7C9 can only be <4>
R1C3 can only be <8>
R2C8 can only be <6>
R2C2 can only be <3>
R3C8 can only be <4>
R3C9 can only be <8>
R7C8 can only be <5>
R3C2 can only be <5>
R9C2 can only be <1>
R2C3 can only be <9>


 

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