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Sudoku Solution Path

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R5C5 can only be <3>
R9C6 can only be <8>
R7C6 can only be <9>
R9C4 is the only square in row 9 that can be <7>
R9C5 is the only square in row 9 that can be <5>
R1C4 is the only square in row 1 that can be <5>
R2C3 is the only square in row 2 that can be <5>
R8C7 is the only square in row 8 that can be <5>
R1C5 is the only square in column 5 that can be <9>
R3C2 is the only square in column 2 that can be <9>
Squares R3C3 and R3C6 in row 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <13>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R3C7 - removing <3> from <2347> leaving <247>
Squares R6C3 and R7C3 in column 3 and R6C7 and R7C7 in column 7 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in rows 6 and 7 can be removed.
   R7C2 - removing <6> from <46> leaving <4>
   R7C8 - removing <6> from <2468> leaving <248>
   R6C9 - removing <6> from <2689> leaving <289>
R7C4 can only be <2>
R7C8 can only be <8>
R3C4 can only be <4>
R8C5 can only be <4>
R8C9 can only be <2>
R2C5 can only be <2>
Squares R3C7 and R3C8 in block 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <27>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R1C8 - removing <2> from <246> leaving <46>
Squares R1C8 and R9C8 in column 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R5C8 - removing <6> from <267> leaving <27>
Squares R8C1, R8C3, R6C1 and R6C3 form a Type-3 Unique Rectangle on <89>. Upon close inspection, it is clear that:
(R6C1 or R6C3)<26> and R5C2<26> form a locked pair on <26> in block 4. No other squares in the block can contain these possibilities
   R5C1 - removing <2> from <278> leaving <78>
Squares R2C7 (XY), R7C7 (XZ) and R1C8 (YZ) form an XY-Wing pattern on <6>. All squares that are buddies of both the XZ and YZ squares cannot be <6>.
   R9C8 - removing <6> from <46> leaving <4>
R1C8 can only be <6>
Squares R7C3 (XY), R3C3 (XZ) and R9C2 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.
   R1C2 - removing <1> from <12> leaving <2>
R5C2 can only be <6>
R5C9 can only be <8>
R9C2 can only be <1>
R5C1 can only be <7>
R6C9 can only be <9>
R6C3 can only be <8>
R4C9 can only be <4>
R9C1 can only be <3>
R4C7 can only be <7>
R5C8 can only be <2>
R3C8 can only be <7>
R6C7 can only be <6>
R6C1 can only be <2>
R8C3 can only be <9>
R7C7 can only be <3>
R7C3 can only be <6>
R2C7 can only be <4>
R9C9 can only be <6>
R8C1 can only be <8>
R4C3 can only be <1>
R2C1 can only be <1>
R3C7 can only be <2>
R4C1 can only be <9>
R3C3 can only be <3>
R2C9 can only be <3>
R1C1 can only be <4>
R1C9 can only be <1>
R3C6 can only be <1>
R1C6 can only be <3>

 

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