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Sudoku Solution Path

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R6C5 can only be <9>
R6C8 can only be <5>
R4C5 can only be <1>
R8C5 can only be <6>
R9C5 can only be <7>
R1C5 can only be <4>
R2C5 can only be <8>
R2C7 can only be <7>
R2C6 can only be <3>
R1C7 can only be <9>
R9C7 can only be <3>
R2C4 can only be <6>
R5C6 can only be <2>
R5C4 can only be <3>
R2C9 can only be <1>
R3C4 can only be <9>
R3C6 can only be <7>
R1C2 is the only square in row 1 that can be <7>
R3C1 is the only square in row 3 that can be <3>
R3C2 is the only square in row 3 that can be <4>
R6C2 can only be <2>
R4C8 is the only square in row 4 that can be <3>
R7C2 is the only square in column 2 that can be <8>
R1C8 is the only square in column 8 that can be <2>
R1C3 can only be <6>
Squares R7C6 and R7C8 in row 7 form a simple locked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R7C1 - removing <19> from <12459> leaving <245>
   R7C9 - removing <9> from <459> leaving <45>
Squares R7C8 and R9C8 in column 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R5C8 - removing <9> from <689> leaving <68>
Squares R7C8 and R9C8 in block 9 form a simple locked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R8C9 - removing <9> from <4589> leaving <458>
Intersection of row 9 with block 7. The value <5> only appears in one or more of squares R9C1, R9C2 and R9C3 of row 9. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
   R7C1 - removing <5> from <245> leaving <24>
   R8C1 - removing <5> from <12459> leaving <1249>
   R8C3 - removing <5> from <2459> leaving <249>
Squares R6C1 and R6C9 in row 6 and R7C1 and R7C9 in row 7 form a Simple X-Wing pattern on possibility <4>. All other instances of this possibility in columns 1 and 9 can be removed.
   R5C1 - removing <4> from <1479> leaving <179>
   R5C9 - removing <4> from <46789> leaving <6789>
   R8C1 - removing <4> from <1249> leaving <129>
   R8C9 - removing <4> from <458> leaving <58>
Squares R3C8, R3C9, R5C8 and R5C9 form a Type-1 Unique Rectangle on <68>.
   R5C9 - removing <68> from <6789> leaving <79>
Squares R5C3 (XY), R6C1 (XZ) and R5C9 (YZ) form an XY-Wing pattern on <7>. All squares that are buddies of both the XZ and YZ squares cannot be <7>.
   R5C1 - removing <7> from <179> leaving <19>
   R6C9 - removing <7> from <47> leaving <4>
R6C1 can only be <7>
R7C9 can only be <5>
R5C7 can only be <8>
R7C4 can only be <2>
R8C9 can only be <8>
R8C7 can only be <4>
R3C9 can only be <6>
R3C8 can only be <8>
R4C9 can only be <9>
R4C1 can only be <5>
R5C9 can only be <7>
R5C8 can only be <6>
R5C2 can only be <1>
R7C1 can only be <4>
R8C4 can only be <5>
R4C2 can only be <6>
R2C1 can only be <2>
R5C1 can only be <9>
R9C2 can only be <5>
R9C3 can only be <9>
R9C8 can only be <1>
R5C3 can only be <4>
R8C3 can only be <2>
R7C8 can only be <9>
R2C3 can only be <5>
R8C1 can only be <1>
R7C6 can only be <1>
R8C6 can only be <9>

 

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