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Sudoku Solution Path

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R9C9 can only be <3>
R1C9 can only be <1>
R5C9 can only be <5>
R2C5 is the only square in row 2 that can be <2>
R3C6 is the only square in row 3 that can be <4>
R4C5 is the only square in row 4 that can be <1>
R6C4 is the only square in row 6 that can be <2>
R6C6 is the only square in row 6 that can be <5>
R6C3 is the only square in row 6 that can be <9>
R3C2 is the only square in row 3 that can be <9>
R3C3 is the only square in row 3 that can be <1>
R3C7 is the only square in row 3 that can be <7>
R4C6 is the only square in row 4 that can be <9>
R5C8 is the only square in row 5 that can be <9>
R7C2 is the only square in row 7 that can be <1>
R8C7 is the only square in row 8 that can be <2>
Squares R4C7 and R6C7 in column 7 form a simple locked pair. These 2 squares both contain the 2 possibilities <34>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R2C7 - removing <3> from <358> leaving <58>
Squares R4C3 and R4C4 in row 4 and R7C3 and R7C4 in row 7 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in columns 3 and 4 can be removed.
   R2C3 - removing <7> from <378> leaving <38>
   R5C4 - removing <7> from <3678> leaving <368>
R2C2 is the only square in row 2 that can be <7>
Squares R1C1 and R1C5 in row 1 and R9C1 and R9C5 in row 9 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 1 and 5 can be removed.
   R5C5 - removing <8> from <34678> leaving <3467>
   R8C5 - removing <8> from <368> leaving <36>
Squares R2C7, R7C7, R2C8 and R7C8 form a Type-4 Unique Rectangle on <58>.
   R2C8 - removing <8> from <358> leaving <35>
   R7C8 - removing <8> from <568> leaving <56>
Squares R8C5 (XY), R7C6 (XZ) and R8C8 (YZ) form an XY-Wing pattern on <8>. All squares that are buddies of both the XZ and YZ squares cannot be <8>.
   R7C7 - removing <8> from <58> leaving <5>
R7C8 can only be <6>
R2C7 can only be <8>
R8C8 can only be <8>
R3C8 can only be <3>
R2C3 can only be <3>
R3C4 can only be <8>
R2C8 can only be <5>
R8C3 can only be <4>
R1C1 can only be <8>
R1C5 can only be <3>
R8C2 can only be <3>
R4C3 can only be <7>
R9C1 can only be <7>
R6C5 can only be <4>
R8C5 can only be <6>
R4C4 can only be <3>
R7C3 can only be <8>
R5C1 can only be <3>
R4C7 can only be <4>
R5C4 can only be <6>
R7C4 can only be <7>
R5C6 can only be <8>
R6C7 can only be <3>
R5C2 can only be <4>
R5C5 can only be <7>
R9C5 can only be <8>
R7C6 can only be <3>


 

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