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Sudoku Solution Path

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R5C2 can only be <2>
R4C5 is the only square in row 4 that can be <2>
R9C3 is the only square in row 9 that can be <2>
R3C1 is the only square in row 3 that can be <2>
R8C7 is the only square in row 8 that can be <2>
R5C1 is the only square in column 1 that can be <9>
R5C5 is the only square in row 5 that can be <1>
R6C3 is the only square in row 6 that can be <1>
R1C6 is the only square in column 6 that can be <8>
R6C2 is the only square in column 2 that can be <8>
R4C3 can only be <7>
R4C7 is the only square in row 4 that can be <8>
R4C4 is the only square in row 4 that can be <3>
R6C7 is the only square in row 6 that can be <3>
R6C6 is the only square in row 6 that can be <7>
R2C9 is the only square in column 9 that can be <3>
R2C1 can only be <7>
R1C8 is the only square in row 1 that can be <7>
R1C4 is the only square in row 1 that can be <1>
R2C3 is the only square in row 2 that can be <8>
R3C8 is the only square in row 3 that can be <1>
R3C9 is the only square in row 3 that can be <8>
R4C6 is the only square in block 5 that can be <6>
R4C8 can only be <9>
R1C7 is the only square in block 3 that can be <9>
Squares R5C9 and R8C9 in column 9 form a simple locked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R7C9 - removing <46> from <4679> leaving <79>
   R9C9 - removing <46> from <4679> leaving <79>
Intersection of column 6 with block 8. The values <149> only appears in one or more of squares R7C6, R8C6 and R9C6 of column 6. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain these values.
   R8C5 - removing <4> from <3456> leaving <356>
   R9C4 - removing <49> from <4569> leaving <56>
   R9C5 - removing <49> from <34569> leaving <356>
Squares R1C2 and R1C5 in row 1 and R8C2 and R8C5 in row 8 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 2 and 5 can be removed.
   R2C5 - removing <5> from <569> leaving <69>
   R7C2 - removing <5> from <567> leaving <67>
   R9C2 - removing <5> from <3567> leaving <367>
   R9C5 - removing <5> from <356> leaving <36>
Squares R2C4 and R2C8 in row 2 and R9C4 and R9C8 in row 9 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 4 and 8 can be removed.
   R3C4 - removing <5> from <456> leaving <46>
Squares R2C5 (XY), R3C4 (XZ) and R6C5 (YZ) form an XY-Wing pattern on <4>. All squares that are buddies of both the XZ and YZ squares cannot be <4>.
   R6C4 - removing <4> from <49> leaving <9>
   R1C5 - removing <4> from <45> leaving <5>
R1C2 can only be <3>
R6C5 can only be <4>
R2C4 can only be <6>
R1C1 can only be <4>
R2C5 can only be <9>
R2C8 can only be <5>
R3C4 can only be <4>
R9C4 can only be <5>
R3C7 can only be <6>
R3C3 can only be <5>
R7C7 can only be <5>
R7C3 can only be <4>
R7C1 can only be <1>
R8C1 can only be <3>
R7C6 can only be <9>
R7C9 can only be <7>
R9C6 can only be <4>
R7C2 can only be <6>
R9C9 can only be <9>
R8C5 can only be <6>
R8C2 can only be <5>
R8C9 can only be <4>
R9C5 can only be <3>
R8C6 can only be <1>
R5C9 can only be <6>
R9C8 can only be <6>
R9C2 can only be <7>
R5C8 can only be <4>


 

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