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Sudoku Solution Path

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R4C5 is the only square in row 4 that can be <3>
R9C1 is the only square in row 9 that can be <7>
R9C3 is the only square in row 9 that can be <3>
R1C1 is the only square in row 1 that can be <3>
R8C8 is the only square in row 8 that can be <3>
R8C4 is the only square in row 8 that can be <2>
R8C7 is the only square in column 7 that can be <1>
R8C3 can only be <8>
R8C2 can only be <6>
R8C6 can only be <4>
Squares R7C5 and R9C5 in column 5 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 column.
   R1C5 - removing <68> from <568> leaving <5>
   R3C5 - removing <8> from <458> leaving <45>
   R5C5 - removing <8> from <12458> leaving <1245>
   R6C5 - removing <6> from <1256> leaving <125>
R1C3 can only be <9>
R3C5 can only be <4>
R1C9 can only be <6>
R1C7 can only be <8>
R7C9 can only be <2>
R9C9 can only be <4>
R7C8 can only be <8>
R5C9 can only be <7>
R9C7 can only be <6>
R3C9 can only be <9>
R7C5 can only be <6>
R9C5 can only be <8>
R4C6 is the only square in row 4 that can be <7>
R5C5 is the only square in row 5 that can be <2>
R6C5 can only be <1>
R5C6 is the only square in row 5 that can be <9>
R6C6 can only be <6>
R6C4 can only be <5>
R2C6 can only be <8>
R2C4 can only be <6>
R6C2 can only be <9>
R6C8 can only be <2>
Squares R2C3 and R5C3 in column 3 and R2C7 and R5C7 in column 7 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in rows 2 and 5 can be removed.
   R5C1 - removing <5> from <158> leaving <18>
   R2C2 - removing <5> from <157> leaving <17>
   R2C8 - removing <5> from <457> leaving <47>
The puzzle can be reduced to a Bivalue Universal Grave (BUG) pattern, by making this reduction:
   R3C2=<78>
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
   R3C2 - removing <78> from <578> leaving <5>
R3C1 can only be <8>
R3C8 can only be <7>
R4C2 can only be <8>
R7C2 can only be <1>
R2C3 can only be <1>
R2C8 can only be <4>
R4C4 can only be <4>
R5C1 can only be <1>
R4C8 can only be <5>
R5C4 can only be <8>
R5C7 can only be <4>
R5C3 can only be <5>
R7C1 can only be <5>
R2C7 can only be <5>
R2C2 can only be <7>


 

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