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Sudoku Solution Path

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R2C7 is the only square in row 2 that can be <4>
R2C6 is the only square in row 2 that can be <8>
R3C2 is the only square in row 3 that can be <1>
R5C8 is the only square in row 5 that can be <7>
R8C2 is the only square in row 8 that can be <8>
R6C1 is the only square in row 6 that can be <8>
R8C3 is the only square in row 8 that can be <4>
R9C6 is the only square in row 9 that can be <1>
R8C8 is the only square in row 8 that can be <1>
R9C4 is the only square in row 9 that can be <3>
R1C6 is the only square in row 1 that can be <3>
R3C8 is the only square in row 3 that can be <3>
R5C5 is the only square in row 5 that can be <3>
R5C2 is the only square in row 5 that can be <4>
R7C2 is the only square in row 7 that can be <3>
R7C9 is the only square in column 9 that can be <7>
Squares R5C4 and R5C6 in row 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R5C3 - removing <26> from <2569> leaving <59>
   R5C7 - removing <26> from <2569> leaving <59>
R4C1 is the only square in block 4 that can be <2>
Squares R5C4 and R5C6 in block 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R4C5 - removing <6> from <456> leaving <45>
   R6C5 - removing <26> from <2456> leaving <45>
Intersection of column 7 with block 9. The value <6> 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 <6> from <269> leaving <29>
Intersection of block 4 with column 2. The value <6> only appears in one or more of squares R4C2, R5C2 and R6C2 of block 4. These squares are the ones that intersect with column 2. Thus, the other (non-intersecting) squares of column 2 cannot contain this value.
   R2C2 - removing <6> from <569> leaving <59>
Squares R1C3 and R1C7 in row 1 and R5C3 and R5C7 in row 5 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 3 and 7 can be removed.
   R2C3 - removing <5> from <2569> leaving <269>
Squares R3C1 and R3C5 in row 3 and R7C1 and R7C5 in row 7 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in columns 1 and 5 can be removed.
   R2C5 - removing <6> from <2679> leaving <279>
   R8C5 - removing <6> from <2679> leaving <279>
Squares R5C3 and R5C7 in row 5 and R9C3 and R9C7 in row 9 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in columns 3 and 7 can be removed.
   R1C3 - removing <9> from <259> leaving <25>
   R1C7 - removing <9> from <259> leaving <25>
   R2C3 - removing <9> from <269> leaving <26>
   R8C7 - removing <9> from <269> leaving <26>
R1C4 is the only square in row 1 that can be <9>
R8C5 is the only square in row 8 that can be <9>
R8C4 is the only square in row 8 that can be <7>
R2C5 is the only square in row 2 that can be <7>
Squares R2C3 and R2C4 in row 2 form a simple locked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R2C8 - removing <2> from <259> leaving <59>
Squares R1C7 (XY), R3C9 (XZ) and R5C7 (YZ) form an XY-Wing pattern on <9>. All squares that are buddies of both the XZ and YZ squares cannot be <9>.
   R4C9 - removing <9> from <49> leaving <4>
R4C5 can only be <5>
R6C9 can only be <2>
R3C9 can only be <9>
R3C1 can only be <6>
R2C8 can only be <5>
R6C5 can only be <4>
R2C2 can only be <9>
R6C8 can only be <6>
R1C7 can only be <2>
R3C5 can only be <2>
R7C1 can only be <9>
R2C3 can only be <2>
R7C5 can only be <6>
R2C4 can only be <6>
R6C2 can only be <5>
R4C8 can only be <9>
R7C8 can only be <2>
R9C3 can only be <6>
R8C6 can only be <2>
R8C7 can only be <6>
R5C6 can only be <6>
R9C7 can only be <9>
R5C7 can only be <5>
R1C3 can only be <5>
R4C2 can only be <6>
R5C4 can only be <2>
R5C3 can only be <9>


 

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