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Sudoku Solution Path

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R2C5 is the only square in row 2 that can be <1>
R2C2 is the only square in row 2 that can be <6>
R5C8 is the only square in row 5 that can be <6>
R8C5 is the only square in row 8 that can be <6>
Squares R3C5 and R6C5 in column 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R1C5 - removing <29> from <2459> leaving <45>
   R5C5 - removing <29> from <23789> leaving <378>
Squares R4C2 and R5C3 in block 4 form a simple locked pair. These 2 squares both contain the 2 possibilities <48>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R5C2 - removing <48> from <14589> leaving <159>
Squares R7C5 and R8C6 in block 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <35>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R9C5 - removing <35> from <3457> leaving <47>
Squares R6C2 and R6C8 in row 6 and R7C2 and R7C8 in row 7 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 2 and 8 can be removed.
   R5C2 - removing <1> from <159> leaving <59>
   R8C2 - removing <1> from <123578> leaving <23578>
   R8C8 - removing <1> from <134589> leaving <34589>
Squares R2C6 and R8C6 in column 6 and R2C7 and R8C7 in column 7 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in rows 2 and 8 can be removed.
   R8C1 - removing <5> from <1235> leaving <123>
   R8C2 - removing <5> from <23578> leaving <2378>
   R2C8 - removing <5> from <235789> leaving <23789>
   R8C8 - removing <5> from <34589> leaving <3489>
Squares R2C6 (XY), R5C6 (XZ) and R2C7 (YZ) form an XY-Wing pattern on <3>. All squares that are buddies of both the XZ and YZ squares cannot be <3>.
   R5C7 - removing <3> from <13> leaving <1>
R6C8 can only be <2>
R6C5 can only be <9>
R6C2 can only be <1>
R3C5 can only be <2>
R5C4 can only be <7>
R2C6 can only be <5>
R8C4 can only be <4>
R2C4 can only be <9>
R9C5 can only be <7>
R2C7 can only be <3>
R8C6 can only be <3>
R1C5 can only be <4>
R2C1 can only be <2>
R8C7 can only be <5>
R5C6 can only be <2>
R7C5 can only be <5>
R2C9 can only be <8>
R8C1 can only be <1>
R2C8 can only be <7>
R8C9 can only be <9>
R7C2 can only be <3>
R8C8 can only be <8>
R1C9 can only be <2>
R2C3 can only be <4>
R3C8 can only be <9>
R3C2 can only be <7>
R1C8 can only be <5>
R7C8 can only be <1>
R1C2 can only be <9>
R9C1 can only be <5>
R8C3 can only be <7>
R9C2 can only be <8>
R5C1 can only be <9>
R4C2 can only be <4>
R1C1 can only be <3>
R5C2 can only be <5>
R5C3 can only be <8>
R8C2 can only be <2>
R4C8 can only be <3>
R4C5 can only be <8>
R9C8 can only be <4>
R5C9 can only be <4>
R5C5 can only be <3>
R9C9 can only be <3>


 

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