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Sudoku Solution Path

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R1C6 can only be <8>
R4C1 can only be <6>
R4C9 can only be <8>
R5C5 can only be <6>
R6C9 can only be <2>
R9C6 can only be <7>
R6C1 can only be <9>
R1C3 is the only square in row 1 that can be <6>
R2C8 is the only square in row 2 that can be <8>
R2C7 is the only square in row 2 that can be <5>
R5C2 is the only square in row 5 that can be <4>
R8C2 is the only square in row 8 that can be <6>
R8C5 is the only square in row 8 that can be <8>
R8C8 is the only square in row 8 that can be <4>
R9C9 is the only square in row 9 that can be <5>
R5C8 is the only square in row 5 that can be <5>
R9C1 is the only square in row 9 that can be <8>
Intersection of row 1 with block 2. The value <9> only appears in one or more of squares R1C4, R1C5 and R1C6 of row 1. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
   R2C5 - removing <9> from <179> leaving <17>
Squares R3C2 and R7C2 in column 2 and R3C8 and R7C8 in column 8 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in rows 3 and 7 can be removed.
   R3C1 - removing <2> from <1237> leaving <137>
   R7C1 - removing <2> from <127> leaving <17>
   R7C5 - removing <2> from <29> leaving <9>
R9C4 can only be <4>
R9C5 can only be <2>
R1C4 can only be <9>
R9C7 can only be <1>
R9C3 can only be <9>
R2C2 is the only square in row 2 that can be <9>
Squares R5C9 and R7C9 in column 9 form a simple locked pair. These 2 squares both contain the 2 possibilities <37>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R1C9 - removing <3> from <134> leaving <14>
   R3C9 - removing <3> from <134> leaving <14>
Squares R1C5 and R1C9 in row 1 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 row.
   R1C1 - removing <1> from <123> leaving <23>
Squares R1C5, R1C9, R3C5 and R3C9 form a Type-1 Unique Rectangle on <14>.
   R3C5 - removing <14> from <147> leaving <7>
R2C5 can only be <1>
R2C3 can only be <7>
R1C5 can only be <4>
R1C9 can only be <1>
R3C9 can only be <4>
R8C3 can only be <2>
R8C7 can only be <7>
R5C3 can only be <1>
R7C2 can only be <1>
R5C7 can only be <3>
R7C9 can only be <3>
R5C1 can only be <2>
R5C9 can only be <7>
R1C7 can only be <2>
R7C1 can only be <7>
R3C2 can only be <2>
R7C8 can only be <2>
R1C1 can only be <3>
R3C8 can only be <3>
R3C1 can only be <1>

 

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