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Sudoku Solution Path

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R1C3 is the only square in row 1 that can be <8>
R6C5 is the only square in row 6 that can be <2>
R9C3 is the only square in row 9 that can be <9>
R6C3 can only be <4>
R6C8 can only be <7>
R2C7 is the only square in row 2 that can be <7>
R2C2 is the only square in row 2 that can be <5>
R6C2 can only be <9>
R3C1 can only be <4>
R1C1 can only be <6>
R6C7 can only be <5>
R3C9 is the only square in row 3 that can be <5>
R4C5 is the only square in row 4 that can be <5>
R4C7 is the only square in row 4 that can be <9>
R4C8 is the only square in row 4 that can be <1>
R5C1 is the only square in row 5 that can be <5>
R5C2 is the only square in row 5 that can be <7>
R8C2 is the only square in row 8 that can be <4>
R8C4 is the only square in row 8 that can be <5>
R8C5 is the only square in row 8 that can be <7>
R8C8 is the only square in row 8 that can be <8>
R7C4 is the only square in row 7 that can be <8>
Intersection of column 4 with block 2. The value <2> only appears in one or more of squares R1C4, R2C4 and R3C4 of column 4. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
   R2C6 - removing <2> from <1236> leaving <136>
   R3C6 - removing <2> from <1239> leaving <139>
Intersection of column 7 with block 9. The value <2> only appears in one or more of squares R7C7, R8C7 and R9C7 of column 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.
   R7C8 - removing <2> from <236> leaving <36>
Intersection of block 3 with row 1. The value <1> only appears in one or more of squares R1C7, R1C8 and R1C9 of block 3. These squares are the ones that intersect with row 1. Thus, the other (non-intersecting) squares of row 1 cannot contain this value.
   R1C5 - removing <1> from <134> leaving <34>
Squares R1C5 and R1C7 in row 1 and R9C5 and R9C7 in row 9 form a Simple X-Wing pattern on possibility <3>. All other instances of this possibility in columns 5 and 7 can be removed.
   R2C5 - removing <3> from <1346> leaving <146>
   R5C5 - removing <3> from <13> leaving <1>
Squares R5C4, R5C6, R3C4 and R3C6 form a Type-4 Unique Rectangle on <39>.
   R3C4 - removing <3> from <239> leaving <29>
   R3C6 - removing <3> from <139> leaving <19>
Squares R7C2 (XY), R3C2 (XZ) and R7C8 (YZ) form an XY-Wing pattern on <3>. All squares that are buddies of both the XZ and YZ squares cannot be <3>.
   R3C8 - removing <3> from <23> leaving <2>
R3C4 can only be <9>
R3C6 can only be <1>
R5C4 can only be <3>
R3C2 can only be <3>
R5C6 can only be <9>
R2C4 can only be <2>
R4C2 can only be <6>
R2C3 can only be <1>
R4C3 can only be <3>
R7C2 can only be <1>
R8C3 can only be <6>
R8C6 can only be <2>
R8C7 can only be <1>
R1C7 can only be <3>
R1C5 can only be <4>
R9C7 can only be <2>
R2C8 can only be <4>
R2C5 can only be <6>
R5C8 can only be <6>
R1C9 can only be <1>
R5C9 can only be <4>
R7C8 can only be <3>
R7C6 can only be <6>
R9C1 can only be <7>
R2C6 can only be <3>
R9C5 can only be <3>
R7C9 can only be <7>
R7C1 can only be <2>
R9C9 can only be <6>


 

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