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Sudoku Solution Path

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R1C4 can only be <1>
R6C6 can only be <6>
R9C6 can only be <1>
R3C5 can only be <5>
R1C6 can only be <2>
R5C6 can only be <7>
R7C5 can only be <8>
R4C6 can only be <5>
R7C8 can only be <7>
R5C5 can only be <1>
R6C5 can only be <4>
R9C4 can only be <4>
R4C4 can only be <8>
R4C1 can only be <4>
R4C9 can only be <7>
R4C5 can only be <2>
R1C3 is the only square in row 1 that can be <4>
R2C1 is the only square in row 2 that can be <2>
R3C9 is the only square in row 3 that can be <1>
R7C1 is the only square in row 7 that can be <1>
R8C9 is the only square in row 8 that can be <6>
R9C8 is the only square in column 8 that can be <3>
R8C1 is the only square in row 8 that can be <3>
Squares R1C8 and R3C8 in block 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <68>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R1C7 - removing <8> from <5789> leaving <579>
   R1C9 - removing <8> from <589> leaving <59>
Intersection of row 3 with block 1. The value <9> only appears in one or more of squares R3C1, R3C2 and R3C3 of row 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
   R1C1 - removing <9> from <6789> leaving <678>
   R1C2 - removing <9> from <589> leaving <58>
Squares R5C3 and R5C7 in row 5 and R8C3 and R8C7 in row 8 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 3 and 7 can be removed.
   R9C3 - removing <8> from <5789> leaving <579>
   R9C7 - removing <8> from <589> leaving <59>
Squares R7C2, R7C9, R9C2 and R9C9 form a Type-4 Unique Rectangle on <29>.
   R9C2 - removing <9> from <2589> leaving <258>
   R9C9 - removing <9> from <2589> leaving <258>
Squares R1C8, R3C8, R1C1 and R3C1 form a Type-4 Unique Rectangle on <68>.
   R1C1 - removing <8> from <678> leaving <67>
   R3C1 - removing <8> from <689> leaving <69>
Intersection of block 1 with column 2. The value <8> only appears in one or more of squares R1C2, R2C2 and R3C2 of block 1. These squares are the ones that intersect with column 2. Thus, the other (non-intersecting) squares of column 2 cannot contain this value.
   R9C2 - removing <8> from <258> leaving <25>
Squares R9C2 (XY), R7C2 (XZ) and R9C7 (YZ) form an XY-Wing pattern on <9>. All squares that are buddies of both the XZ and YZ squares cannot be <9>.
   R9C1 - removing <9> from <789> leaving <78>
   R9C3 - removing <9> from <579> leaving <57>
   R7C9 - removing <9> from <29> leaving <2>
R7C2 can only be <9>
R3C2 can only be <8>
R3C8 can only be <6>
R1C2 can only be <5>
R3C1 can only be <9>
R1C8 can only be <8>
R1C9 can only be <9>
R9C2 can only be <2>
R2C3 can only be <7>
R1C7 can only be <7>
R9C3 can only be <5>
R1C1 can only be <6>
R6C1 can only be <8>
R6C9 can only be <3>
R9C1 can only be <7>
R5C3 can only be <9>
R6C4 can only be <9>
R2C9 can only be <5>
R5C7 can only be <8>
R9C7 can only be <9>
R9C9 can only be <8>
R8C3 can only be <8>
R8C7 can only be <5>
R2C7 can only be <3>
R5C4 can only be <3>


 

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