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Sudoku Solution Path

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R9C2 can only be <2>
R5C7 is the only square in row 5 that can be <2>
R5C3 is the only square in row 5 that can be <9>
R4C9 is the only square in row 4 that can be <9>
R6C1 is the only square in row 6 that can be <2>
R7C4 is the only square in row 7 that can be <9>
R8C6 is the only square in row 8 that can be <2>
R8C2 is the only square in row 8 that can be <9>
R9C8 is the only square in row 9 that can be <6>
R1C2 is the only square in column 2 that can be <1>
R2C4 is the only square in column 4 that can be <3>
R7C5 is the only square in column 5 that can be <7>
R7C7 can only be <4>
R7C3 can only be <5>
R7C6 can only be <3>
R8C1 can only be <4>
R8C4 is the only square in row 8 that can be <5>
R1C4 is the only square in column 4 that can be <7>
R6C7 is the only square in column 7 that can be <7>
Squares R4C7 and R6C9 in block 6 form a simple locked pair. These 2 squares both contain the 2 possibilities <68>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R4C8 - removing <8> from <158> leaving <15>
   R6C8 - removing <8> from <158> leaving <15>
Intersection of row 3 with block 2. The values <15> only appears in one or more of squares R3C4, R3C5 and R3C6 of row 3. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.
   R2C6 - removing <5> from <4568> leaving <468>
Intersection of row 5 with block 5. The values <568> only appears in one or more of squares R5C4, R5C5 and R5C6 of row 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.
   R4C5 - removing <58> from <1358> leaving <13>
   R6C5 - removing <58> from <1358> leaving <13>
Squares R4C5 and R6C5 in column 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <13>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R3C5 - removing <1> from <158> leaving <58>
Squares R8C8, R8C9, R2C8 and R2C9 form a Type-4 Unique Rectangle on <78>.
   R2C8 - removing <8> from <478> leaving <47>
   R2C9 - removing <8> from <678> leaving <67>
Squares R9C4, R9C6, R3C4 and R3C6 form a Type-4 Unique Rectangle on <18>.
   R3C4 - removing <8> from <168> leaving <16>
   R3C6 - removing <8> from <14568> leaving <1456>
Squares R4C1 (XY), R6C2 (XZ) and R4C7 (YZ) form an XY-Wing pattern on <6>. All squares that are buddies of both the XZ and YZ squares cannot be <6>.
   R4C2 - removing <6> from <456> leaving <45>
   R6C9 - removing <6> from <68> leaving <8>
R6C3 can only be <3>
R8C9 can only be <7>
R4C7 can only be <6>
R8C8 can only be <8>
R2C9 can only be <6>
R3C7 can only be <8>
R3C3 can only be <4>
R3C5 can only be <5>
R1C8 can only be <4>
R6C5 can only be <1>
R6C8 can only be <5>
R4C5 can only be <3>
R6C2 can only be <6>
R4C8 can only be <1>
R1C6 can only be <8>
R2C8 can only be <7>
R4C3 can only be <8>
R2C2 can only be <5>
R5C5 can only be <8>
R4C1 can only be <5>
R5C4 can only be <6>
R2C6 can only be <4>
R9C6 can only be <1>
R2C1 can only be <8>
R4C2 can only be <4>
R5C6 can only be <5>
R3C4 can only be <1>
R9C4 can only be <8>
R3C6 can only be <6>


 

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