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Sudoku Solution Path

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R1C3 can only be <4>
R3C1 can only be <5>
R7C9 can only be <7>
R5C3 can only be <6>
R9C3 can only be <3>
R2C5 is the only square in row 2 that can be <4>
R6C5 is the only square in row 6 that can be <3>
R9C8 is the only square in row 9 that can be <8>
Intersection of block 5 with row 5. The values <79> only appears in one or more of squares R5C4, R5C5 and R5C6 of block 5. These squares are the ones that intersect with row 5. Thus, the other (non-intersecting) squares of row 5 cannot contain these values.
   R5C8 - removing <9> from <1259> leaving <125>
Squares R2C4<35>, R2C6<356> and R2C9<56> in row 2 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <356>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R2C8 - removing <56> from <1567> leaving <17>
R6C8 is the only square in column 8 that can be <6>
Squares R5C2 and R5C7 in row 5 and R9C2 and R9C7 in row 9 form a Simple X-Wing pattern on possibility <4>. All other instances of this possibility in columns 2 and 7 can be removed.
   R6C2 - removing <4> from <45> leaving <5>
   R8C2 - removing <4> from <146> leaving <16>
Squares R1C4 and R1C8 in row 1, R5C2 and R5C8 in row 5 and R9C2 and R9C4 in row 9 form a Swordfish pattern on possibility <2>. All other instances of this possibility in columns 2, 4 and 8 can be removed.
   R4C2 - removing <2> from <28> leaving <8>
   R4C8 - removing <2> from <1259> leaving <159>
R2C1 is the only square in row 2 that can be <8>
Squares R1C2 and R2C2 in column 2 form a simple locked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R8C2 - removing <1> from <16> leaving <6>
R9C6 is the only square in row 9 that can be <6>
R2C9 is the only square in row 2 that can be <6>
R3C9 can only be <2>
R3C5 can only be <6>
R1C4 is the only square in row 1 that can be <2>
R9C4 can only be <5>
R9C7 can only be <4>
R2C4 can only be <3>
R9C2 can only be <2>
R2C6 can only be <5>
R8C4 can only be <7>
R1C6 can only be <9>
R8C5 can only be <1>
R5C4 can only be <9>
R8C1 can only be <4>
R8C6 can only be <3>
R4C5 can only be <5>
R7C5 can only be <2>
R5C2 can only be <4>
R7C1 can only be <1>
R5C6 can only be <1>
R4C9 can only be <9>
R5C5 can only be <7>
R4C1 can only be <2>
R4C8 can only be <1>
R6C9 can only be <4>
R8C9 can only be <5>
R6C1 can only be <9>
R5C7 can only be <5>
R5C8 can only be <2>
R1C7 can only be <1>
R8C8 can only be <9>
R1C2 can only be <7>
R2C8 can only be <7>
R2C2 can only be <1>
R1C8 can only be <5>


 

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