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Sudoku Solution Path

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R2C5 can only be <7>
R8C5 can only be <1>
R6C5 can only be <6>
R4C5 can only be <8>
R5C5 can only be <2>
R2C3 is the only square in row 2 that can be <4>
R4C6 is the only square in row 4 that can be <4>
R4C4 is the only square in row 4 that can be <7>
R7C4 can only be <3>
R7C6 can only be <7>
R6C6 is the only square in row 6 that can be <3>
R7C1 is the only square in row 7 that can be <4>
R8C7 is the only square in row 8 that can be <7>
R9C7 is the only square in row 9 that can be <3>
Squares R3C4 and R3C6 in row 3 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.
   R3C1 - removing <19> from <159> leaving <5>
   R3C2 - removing <9> from <2359> leaving <235>
   R3C3 - removing <19> from <12579> leaving <257>
   R3C7 - removing <9> from <25689> leaving <2568>
   R3C8 - removing <9> from <3689> leaving <368>
   R3C9 - removing <9> from <5679> leaving <567>
Intersection of row 8 with block 7. The value <5> only appears in one or more of squares R8C1, R8C2 and R8C3 of row 8. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
   R7C2 - removing <5> from <256> leaving <26>
   R7C3 - removing <5> from <12568> leaving <1268>
Intersection of row 9 with block 7. The value <1> 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.
   R7C3 - removing <1> from <1268> leaving <268>
Squares R1C1 and R9C1 in column 1 and R1C9 and R9C9 in column 9 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in rows 1 and 9 can be removed.
   R1C3 - removing <9> from <179> leaving <17>
   R9C3 - removing <9> from <169> leaving <16>
   R1C7 - removing <9> from <59> leaving <5>
R7C9 is the only square in row 7 that can be <5>
Squares R3C4, R3C6, R5C4 and R5C6 form a Type-1 Unique Rectangle on <19>.
   R5C4 - removing <19> from <159> leaving <5>
R6C3 is the only square in row 6 that can be <5>
R8C2 is the only square in row 8 that can be <5>
Squares R9C3 (XY), R9C1 (XZ) and R4C3 (YZ) form an XY-Wing pattern on <9>. All squares that are buddies of both the XZ and YZ squares cannot be <9>.
   R8C3 - removing <9> from <89> leaving <8>
R8C8 can only be <9>
R2C8 can only be <3>
R9C9 can only be <6>
R9C3 can only be <1>
R3C9 can only be <7>
R3C3 can only be <2>
R1C9 can only be <9>
R9C1 can only be <9>
R1C3 can only be <7>
R1C1 can only be <1>
R2C7 can only be <2>
R2C2 can only be <9>
R3C2 can only be <3>
R7C3 can only be <6>
R7C2 can only be <2>
R4C3 can only be <9>
R5C2 can only be <6>
R4C7 can only be <6>
R3C7 can only be <8>
R5C8 can only be <1>
R5C6 can only be <9>
R7C8 can only be <8>
R6C7 can only be <9>
R6C4 can only be <1>
R7C7 can only be <1>
R3C8 can only be <6>
R3C6 can only be <1>
R3C4 can only be <9>


 

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