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Sudoku Solution Path

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R1C4 can only be <7>
R9C4 can only be <5>
R5C4 can only be <2>
R3C3 is the only square in row 3 that can be <3>
R6C1 is the only square in row 6 that can be <2>
R9C9 is the only square in row 9 that can be <3>
R2C5 is the only square in column 5 that can be <8>
R4C9 is the only square in column 9 that can be <9>
Squares R4C5 and R6C5 in column 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R5C5 - removing <57> from <1579> leaving <19>
Squares R1C8 and R2C9 in block 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <14>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R1C7 - removing <4> from <2456> leaving <256>
   R1C9 - removing <14> from <12456> leaving <256>
   R3C7 - removing <4> from <467> leaving <67>
   R3C9 - removing <4> from <467> leaving <67>
Squares R3C7 and R3C9 in row 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R3C1 - removing <6> from <469> leaving <49>
Squares R3C7 and R3C9 in block 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <67>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R1C7 - removing <6> from <256> leaving <25>
   R1C9 - removing <6> from <256> leaving <25>
Squares R5C2 and R9C2 in column 2 and R5C8 and R9C8 in column 8 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in rows 5 and 9 can be removed.
   R9C1 - removing <7> from <46789> leaving <4689>
   R5C7 - removing <7> from <457> leaving <45>
   R9C7 - removing <7> from <467> leaving <46>
R3C7 is the only square in column 7 that can be <7>
R3C9 can only be <6>
Squares R2C1 and R2C9 in row 2, R3C1 and R3C5 in row 3 and R8C1, R8C5 and R8C9 in row 8 form a Swordfish pattern on possibility <4>. All other instances of this possibility in columns 1, 5 and 9 can be removed.
   R1C1 - removing <4> from <14689> leaving <1689>
   R7C1 - removing <4> from <456> leaving <56>
   R7C5 - removing <4> from <146> leaving <16>
   R7C9 - removing <4> from <124> leaving <12>
   R9C1 - removing <4> from <4689> leaving <689>
Squares R4C1 (XY), R7C1 (XZ) and R5C2 (YZ) form an XY-Wing pattern on <6>. All squares that are buddies of both the XZ and YZ squares cannot be <6>.
   R9C2 - removing <6> from <678> leaving <78>
Squares R5C7 (XY), R9C7 (XZ) and R5C3 (YZ) form an XY-Wing pattern on <6>. All squares that are buddies of both the XZ and YZ squares cannot be <6>.
   R9C3 - removing <6> from <469> leaving <49>
Squares R6C9 (XY), R5C7 (XZ) and R8C9 (YZ) form an XY-Wing pattern on <4>. All squares that are buddies of both the XZ and YZ squares cannot be <4>.
   R7C7 - removing <4> from <246> leaving <26>
   R9C7 - removing <4> from <46> leaving <6>
R7C7 can only be <2>
R7C9 can only be <1>
R1C7 can only be <5>
R7C5 can only be <6>
R2C9 can only be <4>
R1C9 can only be <2>
R5C7 can only be <4>
R2C1 can only be <1>
R8C9 can only be <7>
R1C8 can only be <1>
R5C8 can only be <7>
R5C2 can only be <6>
R9C8 can only be <4>
R6C9 can only be <5>
R6C5 can only be <7>
R7C1 can only be <5>
R8C5 can only be <4>
R3C5 can only be <9>
R9C6 can only be <1>
R8C1 can only be <6>
R5C6 can only be <9>
R9C3 can only be <9>
R3C1 can only be <4>
R5C5 can only be <1>
R1C6 can only be <4>
R5C3 can only be <5>
R1C2 can only be <8>
R7C3 can only be <4>
R4C1 can only be <7>
R4C5 can only be <5>
R9C1 can only be <8>
R1C3 can only be <6>
R1C1 can only be <9>
R9C2 can only be <7>


 

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