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Sudoku Solution Path

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R4C4 can only be <3>
R4C6 can only be <1>
R6C4 can only be <4>
R8C5 can only be <3>
R8C4 can only be <7>
R4C2 can only be <8>
R2C6 can only be <7>
R6C6 can only be <2>
R5C5 can only be <9>
R6C8 can only be <8>
R6C2 can only be <1>
R4C8 can only be <9>
R8C6 can only be <5>
R2C4 can only be <8>
R9C5 can only be <8>
R5C8 can only be <2>
R5C9 can only be <5>
R2C9 is the only square in row 2 that can be <9>
R9C9 can only be <3>
R3C7 is the only square in row 3 that can be <5>
R8C1 is the only square in row 8 that can be <9>
R8C9 is the only square in row 8 that can be <1>
R9C2 is the only square in row 9 that can be <5>
R9C1 is the only square in row 9 that can be <2>
R2C2 is the only square in row 2 that can be <2>
R1C9 is the only square in row 1 that can be <2>
R9C7 is the only square in row 9 that can be <9>
Intersection of row 3 with block 1. The value <7> 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 <7> from <13478> leaving <1348>
   R1C2 - removing <7> from <467> leaving <46>
   R1C3 - removing <7> from <1467> leaving <146>
R5C2 is the only square in column 2 that can be <7>
R5C1 can only be <4>
Squares R1C2<46>, R1C3<146> and R1C5<14> in row 1 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <146>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R1C1 - removing <1> from <138> leaving <38>
   R1C8 - removing <4> from <347> leaving <37>
Squares R3C3 and R3C9 in row 3 and R7C3 and R7C9 in row 7 form a Simple X-Wing pattern on possibility <4>. All other instances of this possibility in columns 3 and 9 can be removed.
   R1C3 - removing <4> from <146> leaving <16>
The puzzle can be reduced to a Bivalue Universal Grave (BUG) pattern, by making this reduction:
   R7C3=<14>
These are called the BUG possibilities. In a BUG pattern, in each row, column and block, each unsolved possibility appears exactly twice. Such a pattern either has 0 or 2 solutions, so it cannot be part of a valid Sudoku
When a puzzle contains a BUG, and only one square in the puzzle has more than 2 possibilities, the only way to kill the BUG is to remove both of the BUG possibilities from the square, thus solving it
   R7C3 - removing <14> from <147> leaving <7>
R7C1 can only be <1>
R7C7 can only be <8>
R3C3 can only be <4>
R9C3 can only be <6>
R7C9 can only be <4>
R1C7 can only be <7>
R3C9 can only be <8>
R8C8 can only be <6>
R8C2 can only be <4>
R9C8 can only be <7>
R1C3 can only be <1>
R1C8 can only be <3>
R1C5 can only be <4>
R2C1 can only be <3>
R1C2 can only be <6>
R2C5 can only be <1>
R1C1 can only be <8>
R2C8 can only be <4>
R3C1 can only be <7>


 

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